Regulators of elliptic curves over real quadratic fields
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Numbers
$D$
label 
$R_{E/K}$
5
199.1-c1:
0.15430856854303028059804700650369182
comment: LMFDB curve 2.2.5.1-199.1-c1 has conductor ideal $(-3w+16)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(w+1\right){x}^{2}+w{x}$.
5
199.1-c2:
0.46292570562909084179414101951107547
comment: LMFDB curve 2.2.5.1-199.1-c2 has conductor ideal $(-3w+16)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(w+1\right){x}^{2}-9w{x}-16w-15$.
5
199.1-c3:
1.3887771168872725253824230585332264
comment: LMFDB curve 2.2.5.1-199.1-c3 has conductor ideal $(-3w+16)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+{x}^{2}+\left(392w-833\right){x}+5756w-10461$.
5
199.2-c1:
1.3887771168872725253824230585332264
comment: LMFDB curve 2.2.5.1-199.2-c1 has conductor ideal $(3w+13)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+{x}^{2}+\left(-392w-441\right){x}-5756w-4705$.
5
199.2-c2:
0.15430856854303028059804700650369182
comment: LMFDB curve 2.2.5.1-199.2-c2 has conductor ideal $(3w+13)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(-w-1\right){x}^{2}+w{x}$.
5
199.2-c3:
0.46292570562909084179414101951107547
comment: LMFDB curve 2.2.5.1-199.2-c3 has conductor ideal $(3w+13)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(11w-10\right){x}+6w-21$.
5
209.2-c1:
0.034797594574898378738253434580249532
comment: LMFDB curve 2.2.5.1-209.2-c1 has conductor ideal $(13w-5)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(6w-5\right){x}-w+8$.
5
209.2-c2:
0.069595189149796757476506869160499064
comment: LMFDB curve 2.2.5.1-209.2-c2 has conductor ideal $(13w-5)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+w{x}$.
5
209.3-c1:
0.069595189149796757476506869160499064
comment: LMFDB curve 2.2.5.1-209.3-c1 has conductor ideal $(-13w+8)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}-{x}-w$.
5
209.3-c2:
0.034797594574898378738253434580249532
comment: LMFDB curve 2.2.5.1-209.3-c2 has conductor ideal $(-13w+8)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-5w-1\right){x}+2$.
5
229.1-a1:
0.017986724201493948308628564618699297
comment: LMFDB curve 2.2.5.1-229.1-a1 has conductor ideal $(-3w-14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+w{x}^{2}+2w{x}+1$.
5
229.2-a1:
0.017986724201493948308628564618699297
comment: LMFDB curve 2.2.5.1-229.2-a1 has conductor ideal $(3w-17)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}-w{x}$.
5
239.1-c1:
0.019443590356130978522173768958448632
comment: LMFDB curve 2.2.5.1-239.1-c1 has conductor ideal $(w+15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}-w{x}$.
5
239.2-c1:
0.019443590356130978522173768958448632
comment: LMFDB curve 2.2.5.1-239.2-c1 has conductor ideal $(w-16)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+2w{x}+1$.
5
245.1-a1:
0.83316000421927884699261405249495317
comment: LMFDB curve 2.2.5.1-245.1-a1 has conductor ideal $(-14w+7)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+{x}^{2}-131{x}-650$.
5
245.1-a2:
0.092573333802142094110290450277217018
comment: LMFDB curve 2.2.5.1-245.1-a2 has conductor ideal $(-14w+7)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+{x}^{2}-{x}$.
5
245.1-a3:
0.27772000140642628233087135083165105
comment: LMFDB curve 2.2.5.1-245.1-a3 has conductor ideal $(-14w+7)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$.
8
103.1-a1:
0.023161402437726989819393686335431964
comment: LMFDB curve 2.2.8.1-103.1-a1 has conductor ideal $(-3w-11)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w-2\right){x}-w+1$.
8
103.2-a1:
0.023161402437726989819393686335431964
comment: LMFDB curve 2.2.8.1-103.2-a1 has conductor ideal $(3w-11)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-2w-2\right){x}+w+1$.
8
119.1-c1:
0.080738150304180229865931481748904741
comment: LMFDB curve 2.2.8.1-119.1-c1 has conductor ideal $(w+11)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}-w{x}$.
8
119.1-c2:
0.040369075152090114932965740874452370
comment: LMFDB curve 2.2.8.1-119.1-c2 has conductor ideal $(w+11)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-w-1\right){x}$.
8
119.4-c1:
0.080738150304180229865931481748904741
comment: LMFDB curve 2.2.8.1-119.4-c1 has conductor ideal $(w-11)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}$.
8
119.4-c2:
0.040369075152090114932965740874452370
comment: LMFDB curve 2.2.8.1-119.4-c2 has conductor ideal $(w-11)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-w{x}^{2}-{x}$.
8
121.1-a1:
12.680075238164256190467229754145565
comment: LMFDB curve 2.2.8.1-121.1-a1 has conductor ideal $(11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}-7820{x}-263580$.
8
121.1-a2:
2.5360150476328512380934459508291131
comment: LMFDB curve 2.2.8.1-121.1-a2 has conductor ideal $(11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}-10{x}-20$.
8
121.1-a3:
0.50720300952657024761868919016582262
comment: LMFDB curve 2.2.8.1-121.1-a3 has conductor ideal $(11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}$.
8
142.1-d1:
0.012254438085563674147352134840173381
comment: LMFDB curve 2.2.8.1-142.1-d1 has conductor ideal $(w+12)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}-{x}-w$.
8
142.2-d1:
0.012254438085563674147352134840173381
comment: LMFDB curve 2.2.8.1-142.2-d1 has conductor ideal $(w-12)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-w-1\right){x}$.
8
158.1-a1:
0.46930233056551883444938314546192687
comment: LMFDB curve 2.2.8.1-158.1-a1 has conductor ideal $(9w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}-{x}-w+1$.
8
158.1-a2:
0.15643411018850627814979438182064229
comment: LMFDB curve 2.2.8.1-158.1-a2 has conductor ideal $(9w-2)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(34w+48\right){x}$.
8
158.1-a3:
0.31286822037701255629958876364128458
comment: LMFDB curve 2.2.8.1-158.1-a3 has conductor ideal $(9w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(10w-26\right){x}+72w-110$.
8
158.1-a4:
0.93860466113103766889876629092385374
comment: LMFDB curve 2.2.8.1-158.1-a4 has conductor ideal $(9w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-5w-1\right){x}+3$.
8
158.2-a1:
0.31286822037701255629958876364128458
comment: LMFDB curve 2.2.8.1-158.2-a1 has conductor ideal $(9w+2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-11w-25\right){x}-98w-131$.
8
158.2-a2:
0.93860466113103766889876629092385374
comment: LMFDB curve 2.2.8.1-158.2-a2 has conductor ideal $(9w+2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}+4w{x}-w+12$.
8
158.2-a3:
0.46930233056551883444938314546192687
comment: LMFDB curve 2.2.8.1-158.2-a3 has conductor ideal $(9w+2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}-w{x}$.
8
158.2-a4:
0.15643411018850627814979438182064229
comment: LMFDB curve 2.2.8.1-158.2-a4 has conductor ideal $(9w+2)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-34w+48\right){x}$.
8
161.1-a1:
0.12157523733733092093518106633285282
comment: LMFDB curve 2.2.8.1-161.1-a1 has conductor ideal $(-9w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}-w{x}$.
8
161.1-a2:
0.060787618668665460467590533166426411
comment: LMFDB curve 2.2.8.1-161.1-a2 has conductor ideal $(-9w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-6w-5\right){x}+6w+10$.
8
161.4-a1:
0.060787618668665460467590533166426411
comment: LMFDB curve 2.2.8.1-161.4-a1 has conductor ideal $(9w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(6w-5\right){x}-6w+10$.
8
161.4-a2:
0.12157523733733092093518106633285282
comment: LMFDB curve 2.2.8.1-161.4-a2 has conductor ideal $(9w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+w{x}$.
8
167.1-a1:
0.051473147778243621564331329324590818
comment: LMFDB curve 2.2.8.1-167.1-a1 has conductor ideal $(w+13)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-4w-3\right){x}+3w+3$.
8
167.1-b1:
0.021381282880923532023428133076787103
comment: LMFDB curve 2.2.8.1-167.1-b1 has conductor ideal $(w+13)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(-w+1\right){x}^{2}-w{x}$.
8
167.2-a1:
0.051473147778243621564331329324590818
comment: LMFDB curve 2.2.8.1-167.2-a1 has conductor ideal $(w-13)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(4w-3\right){x}-4w+3$.
8
167.2-b1:
0.021381282880923532023428133076787103
comment: LMFDB curve 2.2.8.1-167.2-b1 has conductor ideal $(w-13)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(w+1\right){x}^{2}+w{x}$.
8
175.1-a1:
0.026948432435027135983248735192873477
comment: LMFDB curve 2.2.8.1-175.1-a1 has conductor ideal $(-10w+5)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(3w-6\right){x}-w+7$.
8
175.1-a2:
0.053896864870054271966497470385746955
comment: LMFDB curve 2.2.8.1-175.1-a2 has conductor ideal $(-10w+5)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-2w-1\right){x}+w+2$.
8
175.2-a1:
0.053896864870054271966497470385746955
comment: LMFDB curve 2.2.8.1-175.2-a1 has conductor ideal $(10w+5)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(w-1\right){x}-w+2$.
8
175.2-a2:
0.026948432435027135983248735192873477
comment: LMFDB curve 2.2.8.1-175.2-a2 has conductor ideal $(10w+5)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-4w-6\right){x}+w+7$.
8
191.1-a1:
0.025570854124408454118042436671125400
comment: LMFDB curve 2.2.8.1-191.1-a1 has conductor ideal $(10w-3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}-w{x}$.
8
191.2-a1:
0.025570854124408454118042436671125400
comment: LMFDB curve 2.2.8.1-191.2-a1 has conductor ideal $(10w+3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-w-1\right){x}-w$.
8
200.1-a1:
0.72220533806442561466600769221550966
comment: LMFDB curve 2.2.8.1-200.1-a1 has conductor ideal $(10w)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+{x}^{2}+3{x}-3$.
8
200.1-a2:
0.36110266903221280733300384610775483
comment: LMFDB curve 2.2.8.1-200.1-a2 has conductor ideal $(10w)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+{x}^{2}-2{x}-2$.
8
200.1-a3:
0.18055133451610640366650192305387741
comment: LMFDB curve 2.2.8.1-200.1-a3 has conductor ideal $(10w)$, rank $1$, and equation ${y}^2={x}^{3}-2{x}+1$.
8
200.1-a4:
0.72220533806442561466600769221550966
comment: LMFDB curve 2.2.8.1-200.1-a4 has conductor ideal $(10w)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+{x}^{2}-27{x}-67$.
8
206.1-b1:
0.16936344628653320849881419102239906
comment: LMFDB curve 2.2.8.1-206.1-b1 has conductor ideal $(11w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-2\right){x}-w$.
8
206.1-b2:
0.056454482095511069499604730340799689
comment: LMFDB curve 2.2.8.1-206.1-b2 has conductor ideal $(11w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+3\right){x}+15w-18$.
8
206.2-b1:
0.16936344628653320849881419102239906
comment: LMFDB curve 2.2.8.1-206.2-b1 has conductor ideal $(11w-6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-w-2\right){x}$.
8
206.2-b2:
0.056454482095511069499604730340799689
comment: LMFDB curve 2.2.8.1-206.2-b2 has conductor ideal $(11w-6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-w+3\right){x}-16w-18$.
8
207.1-b1:
0.22709743422713943632054170308912111
comment: LMFDB curve 2.2.8.1-207.1-b1 has conductor ideal $(-3w-15)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(2w+3\right){x}+w+1$.
8
207.1-b2:
0.11354871711356971816027085154456055
comment: LMFDB curve 2.2.8.1-207.1-b2 has conductor ideal $(-3w-15)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-3w-1\right){x}-w-1$.
8
207.2-b1:
0.11354871711356971816027085154456055
comment: LMFDB curve 2.2.8.1-207.2-b1 has conductor ideal $(-3w+15)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(2w-1\right){x}+w-1$.
8
207.2-b2:
0.22709743422713943632054170308912111
comment: LMFDB curve 2.2.8.1-207.2-b2 has conductor ideal $(-3w+15)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-3w+3\right){x}-w+1$.
8
226.1-b1:
0.075311290431988544386009187407599726
comment: LMFDB curve 2.2.8.1-226.1-b1 has conductor ideal $(-11w-4)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+w{x}$.
8
226.1-b2:
0.15062258086397708877201837481519945
comment: LMFDB curve 2.2.8.1-226.1-b2 has conductor ideal $(-11w-4)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(6w-10\right){x}+11w-16$.
8
226.2-b1:
0.075311290431988544386009187407599726
comment: LMFDB curve 2.2.8.1-226.2-b1 has conductor ideal $(-11w+4)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}-2w{x}$.
8
226.2-b2:
0.15062258086397708877201837481519945
comment: LMFDB curve 2.2.8.1-226.2-b2 has conductor ideal $(-11w+4)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-7w-10\right){x}-11w-16$.
8
238.1-b1:
0.039802189479993539901888774336561196
comment: LMFDB curve 2.2.8.1-238.1-b1 has conductor ideal $(-3w+16)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}-{x}-w+1$.
8
238.1-b2:
0.079604378959987079803777548673122392
comment: LMFDB curve 2.2.8.1-238.1-b2 has conductor ideal $(-3w+16)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(25w-41\right){x}-70w+103$.
8
238.4-b1:
0.039802189479993539901888774336561196
comment: LMFDB curve 2.2.8.1-238.4-b1 has conductor ideal $(3w+16)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-w-1\right){x}+w+1$.
8
238.4-b2:
0.079604378959987079803777548673122392
comment: LMFDB curve 2.2.8.1-238.4-b2 has conductor ideal $(3w+16)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-26w-41\right){x}+70w+103$.
8
241.1-b1:
0.045204244289275944846505278312338453
comment: LMFDB curve 2.2.8.1-241.1-b1 has conductor ideal $(-11w-1)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}$.
8
241.2-b1:
0.045204244289275944846505278312338453
comment: LMFDB curve 2.2.8.1-241.2-b1 has conductor ideal $(11w-1)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}-w{x}$.
8
248.1-b1:
0.84405824511178603420570556864491509
comment: LMFDB curve 2.2.8.1-248.1-b1 has conductor ideal $(2w+16)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(63w+59\right){x}-442w-566$.
8
248.1-b2:
0.42202912255589301710285278432245754
comment: LMFDB curve 2.2.8.1-248.1-b2 has conductor ideal $(2w+16)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(21w-33\right){x}-63w+87$.
8
248.1-b3:
0.21101456127794650855142639216122877
comment: LMFDB curve 2.2.8.1-248.1-b3 has conductor ideal $(2w+16)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-3\right){x}-w+1$.
8
248.1-b4:
0.84405824511178603420570556864491509
comment: LMFDB curve 2.2.8.1-248.1-b4 has conductor ideal $(2w+16)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(11w-53\right){x}-81w+23$.
8
248.2-b1:
0.21101456127794650855142639216122877
comment: LMFDB curve 2.2.8.1-248.2-b1 has conductor ideal $(2w-16)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w-3\right){x}+w+1$.
8
248.2-b2:
0.84405824511178603420570556864491509
comment: LMFDB curve 2.2.8.1-248.2-b2 has conductor ideal $(2w-16)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-11w-53\right){x}+81w+23$.
8
248.2-b3:
0.42202912255589301710285278432245754
comment: LMFDB curve 2.2.8.1-248.2-b3 has conductor ideal $(2w-16)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-21w-33\right){x}+63w+87$.
8
248.2-b4:
0.84405824511178603420570556864491509
comment: LMFDB curve 2.2.8.1-248.2-b4 has conductor ideal $(2w-16)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-63w+59\right){x}+442w-566$.
12
47.1-b1:
0.098568841514602893460165344842850895
comment: LMFDB curve 2.2.12.1-47.1-b1 has conductor ideal $(-4w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(w-1\right){x}$.
12
47.1-b2:
0.049284420757301446730082672421425447
comment: LMFDB curve 2.2.12.1-47.1-b2 has conductor ideal $(-4w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(6w-11\right){x}-14w+24$.
12
47.2-b1:
0.098568841514602893460165344842850895
comment: LMFDB curve 2.2.12.1-47.2-b1 has conductor ideal $(4w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-w-1\right){x}$.
12
47.2-b2:
0.049284420757301446730082672421425447
comment: LMFDB curve 2.2.12.1-47.2-b2 has conductor ideal $(4w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-6w-11\right){x}+14w+24$.
12
71.1-c1:
0.20395424764552803481082301442053436
comment: LMFDB curve 2.2.12.1-71.1-c1 has conductor ideal $(-5w+2)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}+\left(-9w-18\right){x}+35w+63$.
12
71.1-c2:
0.067984749215176011603607671473511456
comment: LMFDB curve 2.2.12.1-71.1-c2 has conductor ideal $(-5w+2)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}+\left(w+2\right){x}-w-2$.
12
71.1-d1:
0.48495294260938466192095792549583070
comment: LMFDB curve 2.2.12.1-71.1-d1 has conductor ideal $(-5w+2)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}-{x}^{2}+\left(-2w-4\right){x}+3w+5$.
12
71.1-d2:
0.096990588521876932384191585099166140
comment: LMFDB curve 2.2.12.1-71.1-d2 has conductor ideal $(-5w+2)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(4488w-7773\right){x}+211343w-366057$.
12
71.2-c1:
0.067984749215176011603607671473511456
comment: LMFDB curve 2.2.12.1-71.2-c1 has conductor ideal $(-5w-2)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}+\left(-w+2\right){x}+w-2$.
12
71.2-c2:
0.20395424764552803481082301442053436
comment: LMFDB curve 2.2.12.1-71.2-c2 has conductor ideal $(-5w-2)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}+\left(9w-18\right){x}-35w+63$.
12
71.2-d1:
0.48495294260938466192095792549583070
comment: LMFDB curve 2.2.12.1-71.2-d1 has conductor ideal $(-5w-2)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}-{x}^{2}+\left(2w-4\right){x}-3w+5$.
12
71.2-d2:
0.096990588521876932384191585099166140
comment: LMFDB curve 2.2.12.1-71.2-d2 has conductor ideal $(-5w-2)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-2884w+4995\right){x}+35221w-61005$.
12
74.1-b1:
0.082337219653056477906901664564615079
comment: LMFDB curve 2.2.12.1-74.1-b1 has conductor ideal $(-5w-1)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-60w-109\right){x}+287w+503$.
12
74.1-b2:
0.027445739884352159302300554854871693
comment: LMFDB curve 2.2.12.1-74.1-b2 has conductor ideal $(-5w-1)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+{x}+w+1$.
12
74.2-b1:
0.082337219653056477906901664564615079
comment: LMFDB curve 2.2.12.1-74.2-b1 has conductor ideal $(5w-1)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(59w-109\right){x}-287w+503$.
12
74.2-b2:
0.027445739884352159302300554854871693
comment: LMFDB curve 2.2.12.1-74.2-b2 has conductor ideal $(5w-1)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-w+1\right){x}-w+1$.
12
75.1-b1:
5.2012513759725045021929325719339652
comment: LMFDB curve 2.2.12.1-75.1-b1 has conductor ideal $(5w)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-110{x}-880$.
12
75.1-b2:
0.32507821099828153138705828574587282
comment: LMFDB curve 2.2.12.1-75.1-b2 has conductor ideal $(5w)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(225w-391\right){x}-392504w+679835$.
12
75.1-b3:
2.6006256879862522510964662859669826
comment: LMFDB curve 2.2.12.1-75.1-b3 has conductor ideal $(5w)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+35{x}-28$.
12
75.1-b4:
1.3003128439931261255482331429834913
comment: LMFDB curve 2.2.12.1-75.1-b4 has conductor ideal $(5w)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-10{x}-10$.
12
75.1-b5:
0.65015642199656306277411657149174565
comment: LMFDB curve 2.2.12.1-75.1-b5 has conductor ideal $(5w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(281w-486\right){x}-3516w+6090$.
12
75.1-b6:
2.6006256879862522510964662859669826
comment: LMFDB curve 2.2.12.1-75.1-b6 has conductor ideal $(5w)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-135{x}-660$.
12
75.1-b7:
1.3003128439931261255482331429834913
comment: LMFDB curve 2.2.12.1-75.1-b7 has conductor ideal $(5w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(4481w-7761\right){x}-217866w+377355$.
12
75.1-b8:
5.2012513759725045021929325719339652
comment: LMFDB curve 2.2.12.1-75.1-b8 has conductor ideal $(5w)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-2160{x}-39540$.
12
92.1-b1:
0.72743775423791414108232040259404072
comment: LMFDB curve 2.2.12.1-92.1-b1 has conductor ideal $(-6w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}-w$.
12
92.1-b2:
1.0911566313568712116234806038910610
comment: LMFDB curve 2.2.12.1-92.1-b2 has conductor ideal $(-6w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(74w-141\right){x}+486w-862$.
12
92.1-b3:
0.36371887711895707054116020129702036
comment: LMFDB curve 2.2.12.1-92.1-b3 has conductor ideal $(-6w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(4w-11\right){x}-8w+12$.
12
92.1-b4:
2.1823132627137424232469612077821221
comment: LMFDB curve 2.2.12.1-92.1-b4 has conductor ideal $(-6w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-11\right){x}+9w-36$.
12
92.2-b1:
2.1823132627137424232469612077821221
comment: LMFDB curve 2.2.12.1-92.2-b1 has conductor ideal $(6w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-w-11\right){x}-10w-36$.
12
92.2-b2:
0.72743775423791414108232040259404072
comment: LMFDB curve 2.2.12.1-92.2-b2 has conductor ideal $(6w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-w-1\right){x}$.
12
92.2-b3:
0.36371887711895707054116020129702036
comment: LMFDB curve 2.2.12.1-92.2-b3 has conductor ideal $(6w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-6w-11\right){x}+7w+12$.
12
92.2-b4:
1.0911566313568712116234806038910610
comment: LMFDB curve 2.2.12.1-92.2-b4 has conductor ideal $(6w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-76w-141\right){x}-487w-862$.
12
98.1-b1:
6.3140055775293993843444565081566503
comment: LMFDB curve 2.2.12.1-98.1-b1 has conductor ideal $(7w+7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-171{x}-874$.
12
98.1-b2:
0.70155617528104437603827294535073893
comment: LMFDB curve 2.2.12.1-98.1-b2 has conductor ideal $(7w+7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}$.
12
98.1-b3:
2.1046685258431331281148188360522167
comment: LMFDB curve 2.2.12.1-98.1-b3 has conductor ideal $(7w+7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+4{x}-6$.
12
98.1-b4:
1.0523342629215665640574094180261083
comment: LMFDB curve 2.2.12.1-98.1-b4 has conductor ideal $(7w+7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-36{x}-70$.
12
98.1-b5:
0.35077808764052218801913647267536946
comment: LMFDB curve 2.2.12.1-98.1-b5 has conductor ideal $(7w+7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-11{x}+12$.
12
98.1-b6:
3.1570027887646996921722282540783251
comment: LMFDB curve 2.2.12.1-98.1-b6 has conductor ideal $(7w+7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-2731{x}-55146$.
12
99.1-b1:
0.055902629339066755872790292472145386
comment: LMFDB curve 2.2.12.1-99.1-b1 has conductor ideal $(-6w+3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(w-2\right){x}+2$.
12
99.1-b2:
0.027951314669533377936395146236072693
comment: LMFDB curve 2.2.12.1-99.1-b2 has conductor ideal $(-6w+3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(2w-5\right){x}-11w+19$.
12
99.2-b1:
0.027951314669533377936395146236072693
comment: LMFDB curve 2.2.12.1-99.2-b1 has conductor ideal $(6w+3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(23w-41\right){x}-85w+147$.
12
99.2-b2:
0.055902629339066755872790292472145386
comment: LMFDB curve 2.2.12.1-99.2-b2 has conductor ideal $(6w+3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-2w-2\right){x}+2$.
12
104.1-b1:
0.037185854258917259281785059650116266
comment: LMFDB curve 2.2.12.1-104.1-b1 has conductor ideal $(-6w-2)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-w+1\right){x}^{2}-4w+7$.
12
104.1-b2:
0.074371708517834518563570119300232533
comment: LMFDB curve 2.2.12.1-104.1-b2 has conductor ideal $(-6w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(110w-190\right){x}-880w+1524$.
12
104.2-b1:
0.037185854258917259281785059650116266
comment: LMFDB curve 2.2.12.1-104.2-b1 has conductor ideal $(6w-2)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w+1\right){x}^{2}+4w+7$.
12
104.2-b2:
0.074371708517834518563570119300232533
comment: LMFDB curve 2.2.12.1-104.2-b2 has conductor ideal $(6w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(3w-6\right){x}-4w+7$.
12
111.1-c1:
0.10456994608980792102598675623135722
comment: LMFDB curve 2.2.12.1-111.1-c1 has conductor ideal $(7w-6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+{x}^{2}+\left(-5w+9\right){x}-19w+33$.
12
111.1-c2:
0.052284973044903960512993378115678613
comment: LMFDB curve 2.2.12.1-111.1-c2 has conductor ideal $(7w-6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(2w+1\right){x}+2$.
12
111.1-d1:
1.1484935393432344066914781743887760
comment: LMFDB curve 2.2.12.1-111.1-d1 has conductor ideal $(7w-6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(386w-664\right){x}-5448w+9439$.
12
111.1-d2:
0.38283117978107813556382605812959201
comment: LMFDB curve 2.2.12.1-111.1-d2 has conductor ideal $(7w-6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(31w-49\right){x}+105w-179$.
12
111.1-d3:
0.19141558989053906778191302906479600
comment: LMFDB curve 2.2.12.1-111.1-d3 has conductor ideal $(7w-6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}-2{x}-1$.
12
111.1-d4:
0.57424676967161720334573908719438802
comment: LMFDB curve 2.2.12.1-111.1-d4 has conductor ideal $(7w-6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(105w-197\right){x}-720w+1262$.
12
111.2-c1:
0.10456994608980792102598675623135722
comment: LMFDB curve 2.2.12.1-111.2-c1 has conductor ideal $(7w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(2w-2\right){x}+w-1$.
12
111.2-c2:
0.052284973044903960512993378115678613
comment: LMFDB curve 2.2.12.1-111.2-c2 has conductor ideal $(7w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+w{x}$.
12
111.2-d1:
0.19141558989053906778191302906479600
comment: LMFDB curve 2.2.12.1-111.2-d1 has conductor ideal $(7w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(-w-2\right){x}-1$.
12
111.2-d2:
0.38283117978107813556382605812959201
comment: LMFDB curve 2.2.12.1-111.2-d2 has conductor ideal $(7w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-2w+2\right){x}+2w-4$.
12
111.2-d3:
1.1484935393432344066914781743887760
comment: LMFDB curve 2.2.12.1-111.2-d3 has conductor ideal $(7w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(3w-13\right){x}-75w+134$.
12
111.2-d4:
0.57424676967161720334573908719438802
comment: LMFDB curve 2.2.12.1-111.2-d4 has conductor ideal $(7w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(-106w-197\right){x}+720w+1262$.
12
121.2-b1:
0.064951758224712893721079281786630014
comment: LMFDB curve 2.2.12.1-121.2-b1 has conductor ideal $(-4w+13)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-w{x}^{2}+{x}$.
12
121.2-b2:
0.19485527467413868116323784535989004
comment: LMFDB curve 2.2.12.1-121.2-b2 has conductor ideal $(-4w+13)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+w{x}^{2}+{x}-1$.
12
121.3-b1:
0.19485527467413868116323784535989004
comment: LMFDB curve 2.2.12.1-121.3-b1 has conductor ideal $(4w+13)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}-w{x}^{2}+{x}-1$.
12
121.3-b2:
0.064951758224712893721079281786630014
comment: LMFDB curve 2.2.12.1-121.3-b2 has conductor ideal $(4w+13)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+w{x}^{2}+{x}$.
12
128.1-b1:
0.14210022440405654979232625938975147
comment: LMFDB curve 2.2.12.1-128.1-b1 has conductor ideal $(8w+8)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w+1\right){x}^{2}+\left(w+1\right){x}+1$.
12
128.1-b2:
0.071050112202028274896163129694875737
comment: LMFDB curve 2.2.12.1-128.1-b2 has conductor ideal $(8w+8)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w+1\right){x}^{2}+\left(6w-9\right){x}-11w+19$.
12
128.1-d1:
0.14210022440405654979232625938975147
comment: LMFDB curve 2.2.12.1-128.1-d1 has conductor ideal $(8w+8)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-w+1\right){x}^{2}+\left(-w+1\right){x}+1$.
12
128.1-d2:
0.071050112202028274896163129694875737
comment: LMFDB curve 2.2.12.1-128.1-d2 has conductor ideal $(8w+8)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-w+1\right){x}^{2}+\left(-6w-9\right){x}+11w+19$.
12
138.1-b1:
0.061264608726177587855066078760030673
comment: LMFDB curve 2.2.12.1-138.1-b1 has conductor ideal $(-7w+3)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}-{x}+w+1$.
12
138.1-b2:
0.24505843490471035142026431504012269
comment: LMFDB curve 2.2.12.1-138.1-b2 has conductor ideal $(-7w+3)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-5w-56\right){x}-31w+45$.
12
138.1-b3:
0.12252921745235517571013215752006134
comment: LMFDB curve 2.2.12.1-138.1-b3 has conductor ideal $(-7w+3)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-10w-21\right){x}+33w+57$.
12
138.1-b4:
0.24505843490471035142026431504012269
comment: LMFDB curve 2.2.12.1-138.1-b4 has conductor ideal $(-7w+3)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-175w-306\right){x}+1785w+3093$.
12
138.2-b1:
0.24505843490471035142026431504012269
comment: LMFDB curve 2.2.12.1-138.2-b1 has conductor ideal $(-7w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(175w-306\right){x}-1785w+3093$.
12
138.2-b2:
0.061264608726177587855066078760030673
comment: LMFDB curve 2.2.12.1-138.2-b2 has conductor ideal $(-7w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}-{x}-w+1$.
12
138.2-b3:
0.12252921745235517571013215752006134
comment: LMFDB curve 2.2.12.1-138.2-b3 has conductor ideal $(-7w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(10w-21\right){x}-33w+57$.
12
138.2-b4:
0.24505843490471035142026431504012269
comment: LMFDB curve 2.2.12.1-138.2-b4 has conductor ideal $(-7w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(5w-56\right){x}+31w+45$.
12
143.2-b1:
0.11697436060068948426931842292339805
comment: LMFDB curve 2.2.12.1-143.2-b1 has conductor ideal $(7w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(53w-92\right){x}+265w-459$.
12
143.2-b2:
0.058487180300344742134659211461699029
comment: LMFDB curve 2.2.12.1-143.2-b2 has conductor ideal $(7w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(2w-6\right){x}-w+1$.
12
143.3-b1:
0.058487180300344742134659211461699029
comment: LMFDB curve 2.2.12.1-143.3-b1 has conductor ideal $(7w+2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-3w-6\right){x}+w+1$.
12
143.3-b2:
0.11697436060068948426931842292339805
comment: LMFDB curve 2.2.12.1-143.3-b2 has conductor ideal $(7w+2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+w{x}^{2}+2{x}$.
12
146.1-c1:
0.21630556353749771334941703668700469
comment: LMFDB curve 2.2.12.1-146.1-c1 has conductor ideal $(-7w-1)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(15w-35\right){x}-66w+120$.
12
146.1-c2:
0.072101854512499237783139012229001565
comment: LMFDB curve 2.2.12.1-146.1-c2 has conductor ideal $(-7w-1)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}$.
12
146.1-d1:
0.0077127224484860610036357176225546342
comment: LMFDB curve 2.2.12.1-146.1-d1 has conductor ideal $(-7w-1)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(10w-16\right){x}-16w+28$.
12
146.2-c1:
0.072101854512499237783139012229001565
comment: LMFDB curve 2.2.12.1-146.2-c1 has conductor ideal $(7w-1)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}-w{x}$.
12
146.2-c2:
0.21630556353749771334941703668700469
comment: LMFDB curve 2.2.12.1-146.2-c2 has conductor ideal $(7w-1)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-16w-35\right){x}+66w+120$.
12
146.2-d1:
0.0077127224484860610036357176225546342
comment: LMFDB curve 2.2.12.1-146.2-d1 has conductor ideal $(7w-1)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-10w-16\right){x}+16w+28$.
12
147.1-b1:
5.9703936695561096712755008290524121
comment: LMFDB curve 2.2.12.1-147.1-b1 has conductor ideal $(7w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-{x}^{2}+\left(3395w-6664\right){x}-153951w+275173$.
12
147.1-b2:
0.74629920869451370890943760363155317
comment: LMFDB curve 2.2.12.1-147.1-b2 has conductor ideal $(7w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-{x}^{2}-34{x}+217$.
12
147.1-b3:
0.37314960434725685445471880181577658
comment: LMFDB curve 2.2.12.1-147.1-b3 has conductor ideal $(7w)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-54w+96\right){x}-55w+96$.
12
147.1-b4:
0.74629920869451370890943760363155317
comment: LMFDB curve 2.2.12.1-147.1-b4 has conductor ideal $(7w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-{x}^{2}-4{x}+1$.
12
147.1-b5:
1.4925984173890274178188752072631063
comment: LMFDB curve 2.2.12.1-147.1-b5 has conductor ideal $(7w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-{x}^{2}-39{x}-90$.
12
147.1-b6:
1.4925984173890274178188752072631063
comment: LMFDB curve 2.2.12.1-147.1-b6 has conductor ideal $(7w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-{x}^{2}-49{x}+136$.
12
147.1-b7:
2.9851968347780548356377504145262127
comment: LMFDB curve 2.2.12.1-147.1-b7 has conductor ideal $(7w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-{x}^{2}-784{x}+8515$.
12
147.1-b8:
5.9703936695561096712755008290524121
comment: LMFDB curve 2.2.12.1-147.1-b8 has conductor ideal $(7w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-{x}^{2}+\left(-3395w-6664\right){x}+153951w+275173$.
12
156.1-b1:
0.23278117319910115661703377443657329
comment: LMFDB curve 2.2.12.1-156.1-b1 has conductor ideal $(-8w+6)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(4w+7\right){x}$.
12
156.1-b2:
0.11639058659955057830851688721828664
comment: LMFDB curve 2.2.12.1-156.1-b2 has conductor ideal $(-8w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}+w{x}$.
12
156.1-b3:
0.23278117319910115661703377443657329
comment: LMFDB curve 2.2.12.1-156.1-b3 has conductor ideal $(-8w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}-4w{x}-8w-6$.
12
156.1-b4:
0.058195293299775289154258443609143324
comment: LMFDB curve 2.2.12.1-156.1-b4 has conductor ideal $(-8w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}+\left(6w-20\right){x}-14w+30$.
12
156.2-b1:
0.23278117319910115661703377443657329
comment: LMFDB curve 2.2.12.1-156.2-b1 has conductor ideal $(8w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}+\left(542w-936\right){x}+9170w-15882$.
12
156.2-b2:
0.11639058659955057830851688721828664
comment: LMFDB curve 2.2.12.1-156.2-b2 has conductor ideal $(8w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}+\left(57w-96\right){x}-48w+84$.
12
156.2-b3:
0.23278117319910115661703377443657329
comment: LMFDB curve 2.2.12.1-156.2-b3 has conductor ideal $(8w+6)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-4w+7\right){x}$.
12
156.2-b4:
0.058195293299775289154258443609143324
comment: LMFDB curve 2.2.12.1-156.2-b4 has conductor ideal $(8w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}+\left(692w-1196\right){x}-12744w+22074$.
12
157.1-a1:
0.12337478653730662864414043627401347
comment: LMFDB curve 2.2.12.1-157.1-a1 has conductor ideal $(-2w+13)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-w+1\right){x}-w$.
12
157.1-b1:
0.13999084102168881181344627104661138
comment: LMFDB curve 2.2.12.1-157.1-b1 has conductor ideal $(-2w+13)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-w+2\right){x}$.
12
157.2-a1:
0.12337478653730662864414043627401347
comment: LMFDB curve 2.2.12.1-157.2-a1 has conductor ideal $(2w+13)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+{x}$.
12
157.2-b1:
0.13999084102168881181344627104661138
comment: LMFDB curve 2.2.12.1-157.2-b1 has conductor ideal $(2w+13)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+{x}^{2}+2{x}$.
12
162.1-b1:
0.077107140053384629353304773244239858
comment: LMFDB curve 2.2.12.1-162.1-b1 has conductor ideal $(9w+9)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}-3{x}+3$.
12
162.1-b2:
0.69396426048046166417974295919815872
comment: LMFDB curve 2.2.12.1-162.1-b2 has conductor ideal $(9w+9)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}-15{x}-30$.
12
162.1-b3:
0.23132142016015388805991431973271957
comment: LMFDB curve 2.2.12.1-162.1-b3 has conductor ideal $(9w+9)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}$.
12
169.2-b1:
0.32866806910542642840516823442936743
comment: LMFDB curve 2.2.12.1-169.2-b1 has conductor ideal $(-3w-14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-22w+38\right){x}+19w-33$.
12
169.2-b2:
0.16433403455271321420258411721468371
comment: LMFDB curve 2.2.12.1-169.2-b2 has conductor ideal $(-3w-14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(w-1\right){x}-w+2$.
12
169.3-b1:
0.16433403455271321420258411721468371
comment: LMFDB curve 2.2.12.1-169.3-b1 has conductor ideal $(3w-14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(8w-14\right){x}-7w+12$.
12
169.3-b2:
0.32866806910542642840516823442936743
comment: LMFDB curve 2.2.12.1-169.3-b2 has conductor ideal $(3w-14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-w+3\right){x}+w-1$.
12
176.1-c1:
0.017979361000736539057368918141382158
comment: LMFDB curve 2.2.12.1-176.1-c1 has conductor ideal $(-8w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(7w-14\right){x}-13w+21$.
12
176.1-d1:
0.011210636688404992656810360128541314
comment: LMFDB curve 2.2.12.1-176.1-d1 has conductor ideal $(-8w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-6w-10\right){x}+16w+28$.
12
176.1-d2:
0.033631910065214977970431080385623943
comment: LMFDB curve 2.2.12.1-176.1-d2 has conductor ideal $(-8w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}-{x}^{2}+\left(6w+8\right){x}-6w-8$.
12
176.2-c1:
0.017979361000736539057368918141382158
comment: LMFDB curve 2.2.12.1-176.2-c1 has conductor ideal $(8w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-9w-14\right){x}+12w+21$.
12
176.2-d1:
0.033631910065214977970431080385623943
comment: LMFDB curve 2.2.12.1-176.2-d1 has conductor ideal $(8w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-6w+8\right){x}+6w-8$.
12
176.2-d2:
0.011210636688404992656810360128541314
comment: LMFDB curve 2.2.12.1-176.2-d2 has conductor ideal $(8w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}-{x}^{2}+\left(6w-10\right){x}-16w+28$.
12
181.1-a1:
10.130128236864720980450928220807779
comment: LMFDB curve 2.2.12.1-181.1-a1 has conductor ideal $(-5w+16)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-w{x}^{2}+\left(259w-640\right){x}+3901w-7775$.
12
181.1-a2:
1.1255698040960801089389920245341976
comment: LMFDB curve 2.2.12.1-181.1-a2 has conductor ideal $(-5w+16)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-w{x}^{2}-w{x}$.
12
181.1-a3:
3.3767094122882403268169760736025930
comment: LMFDB curve 2.2.12.1-181.1-a3 has conductor ideal $(-5w+16)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-w{x}^{2}+\left(4w-5\right){x}+6w-17$.
12
181.1-b1:
1.2979575621217877142323250557984987
comment: LMFDB curve 2.2.12.1-181.1-b1 has conductor ideal $(-5w+16)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(260w-639\right){x}-3641w+7135$.
12
181.1-b2:
0.14421750690242085713692500619983318
comment: LMFDB curve 2.2.12.1-181.1-b2 has conductor ideal $(-5w+16)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+{x}$.
12
181.1-b3:
0.43265252070726257141077501859949956
comment: LMFDB curve 2.2.12.1-181.1-b3 has conductor ideal $(-5w+16)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(5w-4\right){x}-w+12$.
12
181.2-a1:
10.130128236864720980450928220807779
comment: LMFDB curve 2.2.12.1-181.2-a1 has conductor ideal $(5w+16)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-260w-640\right){x}-3901w-7775$.
12
181.2-a2:
3.3767094122882403268169760736025930
comment: LMFDB curve 2.2.12.1-181.2-a2 has conductor ideal $(5w+16)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-5w-5\right){x}-6w-17$.
12
181.2-a3:
1.1255698040960801089389920245341976
comment: LMFDB curve 2.2.12.1-181.2-a3 has conductor ideal $(5w+16)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}$.
12
181.2-b1:
1.2979575621217877142323250557984987
comment: LMFDB curve 2.2.12.1-181.2-b1 has conductor ideal $(5w+16)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-261w-639\right){x}+3641w+7135$.
12
181.2-b2:
0.43265252070726257141077501859949956
comment: LMFDB curve 2.2.12.1-181.2-b2 has conductor ideal $(5w+16)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-6w-4\right){x}+w+12$.
12
181.2-b3:
0.14421750690242085713692500619983318
comment: LMFDB curve 2.2.12.1-181.2-b3 has conductor ideal $(5w+16)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-w+1\right){x}$.
12
183.1-b1:
0.082582518084811143507166999498308786
comment: LMFDB curve 2.2.12.1-183.1-b1 has conductor ideal $(-8w-3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-w+3\right){x}$.
12
183.1-b2:
0.041291259042405571753583499749154393
comment: LMFDB curve 2.2.12.1-183.1-b2 has conductor ideal $(-8w-3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-4w-7\right){x}+3w+5$.
12
183.2-b1:
0.082582518084811143507166999498308786
comment: LMFDB curve 2.2.12.1-183.2-b1 has conductor ideal $(-8w+3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(38w-67\right){x}+125w-217$.
12
183.2-b2:
0.041291259042405571753583499749154393
comment: LMFDB curve 2.2.12.1-183.2-b2 has conductor ideal $(-8w+3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-w{x}^{2}+\left(3w-7\right){x}-3w+5$.
12
191.1-b1:
0.25667042887074223494787134824972446
comment: LMFDB curve 2.2.12.1-191.1-b1 has conductor ideal $(-8w-1)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-w-1\right){x}$.
12
191.1-b2:
0.12833521443537111747393567412486223
comment: LMFDB curve 2.2.12.1-191.1-b2 has conductor ideal $(-8w-1)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-6w-11\right){x}+12w+20$.
12
191.2-b1:
0.25667042887074223494787134824972446
comment: LMFDB curve 2.2.12.1-191.2-b1 has conductor ideal $(8w-1)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(w-1\right){x}$.
12
191.2-b2:
0.12833521443537111747393567412486223
comment: LMFDB curve 2.2.12.1-191.2-b2 has conductor ideal $(8w-1)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(6w-11\right){x}-12w+20$.
12
192.1-b1:
1.2403393456993407526000069462734220
comment: LMFDB curve 2.2.12.1-192.1-b1 has conductor ideal $(8w)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(6w-7\right){x}-8w+17$.
12
192.1-b2:
0.62016967284967037630000347313671101
comment: LMFDB curve 2.2.12.1-192.1-b2 has conductor ideal $(8w)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-8w+13\right){x}+7w-13$.
12
192.1-b3:
0.31008483642483518815000173656835550
comment: LMFDB curve 2.2.12.1-192.1-b3 has conductor ideal $(8w)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}-2{x}$.
12
192.1-b4:
0.62016967284967037630000347313671101
comment: LMFDB curve 2.2.12.1-192.1-b4 has conductor ideal $(8w)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w-1\right){x}^{2}+\left(-18w-29\right){x}+47w+81$.
12
192.1-b5:
0.62016967284967037630000347313671101
comment: LMFDB curve 2.2.12.1-192.1-b5 has conductor ideal $(8w)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}+\left(33w-55\right){x}+145w-251$.
12
192.1-b6:
1.2403393456993407526000069462734220
comment: LMFDB curve 2.2.12.1-192.1-b6 has conductor ideal $(8w)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-3w-5\right){x}+w+3$.
12
193.1-a1:
1.2517211319295037379416512337601330
comment: LMFDB curve 2.2.12.1-193.1-a1 has conductor ideal $(w+14)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-2w-2\right){x}-2w-3$.
12
193.1-a2:
1.2517211319295037379416512337601330
comment: LMFDB curve 2.2.12.1-193.1-a2 has conductor ideal $(w+14)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-27w-47\right){x}-23w-40$.
12
193.1-a3:
2.5034422638590074758833024675202660
comment: LMFDB curve 2.2.12.1-193.1-a3 has conductor ideal $(w+14)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-22w-37\right){x}-63w-109$.
12
193.1-a4:
5.0068845277180149517666049350405320
comment: LMFDB curve 2.2.12.1-193.1-a4 has conductor ideal $(w+14)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-337w-587\right){x}-4327w-7502$.
12
193.1-b1:
1.0377311875518849407325067312239259
comment: LMFDB curve 2.2.12.1-193.1-b1 has conductor ideal $(w+14)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-2w-1\right){x}+w+1$.
12
193.1-b2:
0.25943279688797123518312668280598148
comment: LMFDB curve 2.2.12.1-193.1-b2 has conductor ideal $(w+14)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-27w-46\right){x}+22w+38$.
12
193.1-b3:
0.51886559377594247036625336561196297
comment: LMFDB curve 2.2.12.1-193.1-b3 has conductor ideal $(w+14)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-22w-36\right){x}+62w+107$.
12
193.1-b4:
0.25943279688797123518312668280598148
comment: LMFDB curve 2.2.12.1-193.1-b4 has conductor ideal $(w+14)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-337w-586\right){x}+4326w+7500$.
12
193.2-a1:
1.2517211319295037379416512337601330
comment: LMFDB curve 2.2.12.1-193.2-a1 has conductor ideal $(w-14)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(w-2\right){x}+w-3$.
12
193.2-a2:
2.5034422638590074758833024675202660
comment: LMFDB curve 2.2.12.1-193.2-a2 has conductor ideal $(w-14)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(21w-37\right){x}+62w-109$.
12
193.2-a3:
1.2517211319295037379416512337601330
comment: LMFDB curve 2.2.12.1-193.2-a3 has conductor ideal $(w-14)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(26w-47\right){x}+22w-40$.
12
193.2-a4:
5.0068845277180149517666049350405320
comment: LMFDB curve 2.2.12.1-193.2-a4 has conductor ideal $(w-14)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(336w-587\right){x}+4326w-7502$.
12
193.2-b1:
1.0377311875518849407325067312239259
comment: LMFDB curve 2.2.12.1-193.2-b1 has conductor ideal $(w-14)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(w-1\right){x}-2w+1$.
12
193.2-b2:
0.51886559377594247036625336561196297
comment: LMFDB curve 2.2.12.1-193.2-b2 has conductor ideal $(w-14)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(21w-36\right){x}-63w+107$.
12
193.2-b3:
0.25943279688797123518312668280598148
comment: LMFDB curve 2.2.12.1-193.2-b3 has conductor ideal $(w-14)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(26w-46\right){x}-23w+38$.
12
193.2-b4:
0.25943279688797123518312668280598148
comment: LMFDB curve 2.2.12.1-193.2-b4 has conductor ideal $(w-14)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(336w-586\right){x}-4327w+7500$.
12
194.1-d1:
0.60901343398223799410834648164226683
comment: LMFDB curve 2.2.12.1-194.1-d1 has conductor ideal $(9w+7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(185w-316\right){x}-1939w+3371$.
12
194.1-d2:
0.15225335849555949852708662041056670
comment: LMFDB curve 2.2.12.1-194.1-d2 has conductor ideal $(9w+7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}-{x}-w+1$.
12
194.1-d3:
0.30450671699111899705417324082113341
comment: LMFDB curve 2.2.12.1-194.1-d3 has conductor ideal $(9w+7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(10w-21\right){x}-37w+65$.
12
194.1-d4:
0.60901343398223799410834648164226683
comment: LMFDB curve 2.2.12.1-194.1-d4 has conductor ideal $(9w+7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-5w-46\right){x}+w+135$.
12
194.1-e1:
0.44073926228412449435328486988037257
comment: LMFDB curve 2.2.12.1-194.1-e1 has conductor ideal $(9w+7)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(4w-9\right){x}+377w-657$.
12
194.1-e2:
0.66110889342618674152992730482055886
comment: LMFDB curve 2.2.12.1-194.1-e2 has conductor ideal $(9w+7)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(4w-4\right){x}-4w+8$.
12
194.1-e3:
0.22036963114206224717664243494018628
comment: LMFDB curve 2.2.12.1-194.1-e3 has conductor ideal $(9w+7)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(34w-59\right){x}+141w-249$.
12
194.1-e4:
1.3222177868523734830598546096411177
comment: LMFDB curve 2.2.12.1-194.1-e4 has conductor ideal $(9w+7)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-w+1\right){x}-14w+24$.
12
194.1-f1:
0.041596324006032835489494352812577892
comment: LMFDB curve 2.2.12.1-194.1-f1 has conductor ideal $(9w+7)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(9w-17\right){x}-2w+4$.
12
194.1-f2:
0.083192648012065670978988705625155784
comment: LMFDB curve 2.2.12.1-194.1-f2 has conductor ideal $(9w+7)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(89w-177\right){x}+686w-1148$.
12
194.2-d1:
0.60901343398223799410834648164226683
comment: LMFDB curve 2.2.12.1-194.2-d1 has conductor ideal $(9w-7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(5w-46\right){x}-w+135$.
12
194.2-d2:
0.15225335849555949852708662041056670
comment: LMFDB curve 2.2.12.1-194.2-d2 has conductor ideal $(9w-7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}-{x}+w+1$.
12
194.2-d3:
0.30450671699111899705417324082113341
comment: LMFDB curve 2.2.12.1-194.2-d3 has conductor ideal $(9w-7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-10w-21\right){x}+37w+65$.
12
194.2-d4:
0.60901343398223799410834648164226683
comment: LMFDB curve 2.2.12.1-194.2-d4 has conductor ideal $(9w-7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-185w-316\right){x}+1939w+3371$.
12
194.2-e1:
0.44073926228412449435328486988037257
comment: LMFDB curve 2.2.12.1-194.2-e1 has conductor ideal $(9w-7)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-5w-9\right){x}-377w-657$.
12
194.2-e2:
1.3222177868523734830598546096411177
comment: LMFDB curve 2.2.12.1-194.2-e2 has conductor ideal $(9w-7)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+{x}+14w+24$.
12
194.2-e3:
0.66110889342618674152992730482055886
comment: LMFDB curve 2.2.12.1-194.2-e3 has conductor ideal $(9w-7)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-5w-4\right){x}+4w+8$.
12
194.2-e4:
0.22036963114206224717664243494018628
comment: LMFDB curve 2.2.12.1-194.2-e4 has conductor ideal $(9w-7)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-35w-59\right){x}-141w-249$.
12
194.2-f1:
0.041596324006032835489494352812577892
comment: LMFDB curve 2.2.12.1-194.2-f1 has conductor ideal $(9w-7)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-9w-17\right){x}+2w+4$.
12
194.2-f2:
0.083192648012065670978988705625155784
comment: LMFDB curve 2.2.12.1-194.2-f2 has conductor ideal $(9w-7)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-89w-177\right){x}-686w-1148$.
12
200.1-b1:
0.68376129266303463600326595459306149
comment: LMFDB curve 2.2.12.1-200.1-b1 has conductor ideal $(10w+10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(12w+23\right){x}+75w+129$.
12
200.1-b2:
0.34188064633151731800163297729653074
comment: LMFDB curve 2.2.12.1-200.1-b2 has conductor ideal $(10w+10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-8w-12\right){x}+5w+8$.
12
200.1-b3:
0.17094032316575865900081648864826537
comment: LMFDB curve 2.2.12.1-200.1-b3 has conductor ideal $(10w+10)$, rank $1$, and equation ${y}^2={x}^{3}-2{x}-1$.
12
200.1-b4:
0.68376129266303463600326595459306149
comment: LMFDB curve 2.2.12.1-200.1-b4 has conductor ideal $(10w+10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-108w-187\right){x}+705w+1223$.
12
207.1-c1:
0.16841330837791528920208530712780536
comment: LMFDB curve 2.2.12.1-207.1-c1 has conductor ideal $(-9w+6)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-4w-6\right){x}-8w-14$.
12
207.1-c2:
0.084206654188957644601042653563902681
comment: LMFDB curve 2.2.12.1-207.1-c2 has conductor ideal $(-9w+6)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-19w-36\right){x}+43w+79$.
12
207.1-d1:
0.10600595945531624235954481679877863
comment: LMFDB curve 2.2.12.1-207.1-d1 has conductor ideal $(-9w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}-{x}^{2}+\left(16w-30\right){x}-53w+91$.
12
207.1-d2:
0.053002979727658121179772408399389316
comment: LMFDB curve 2.2.12.1-207.1-d2 has conductor ideal $(-9w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}-{x}^{2}+\left(-w-3\right){x}$.
12
207.2-c1:
0.16841330837791528920208530712780536
comment: LMFDB curve 2.2.12.1-207.2-c1 has conductor ideal $(9w+6)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(3w-6\right){x}+8w-14$.
12
207.2-c2:
0.084206654188957644601042653563902681
comment: LMFDB curve 2.2.12.1-207.2-c2 has conductor ideal $(9w+6)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(18w-36\right){x}-43w+79$.
12
207.2-d1:
0.053002979727658121179772408399389316
comment: LMFDB curve 2.2.12.1-207.2-d1 has conductor ideal $(9w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}-3{x}$.
12
207.2-d2:
0.10600595945531624235954481679877863
comment: LMFDB curve 2.2.12.1-207.2-d2 has conductor ideal $(9w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(9w-18\right){x}+21w-37$.
12
213.1-a1:
0.32757420146454194334957699864482071
comment: LMFDB curve 2.2.12.1-213.1-a1 has conductor ideal $(-2w+15)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-w+1\right){x}-1$.
12
213.1-b1:
0.033407225455291796514873918701140340
comment: LMFDB curve 2.2.12.1-213.1-b1 has conductor ideal $(-2w+15)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-w+1\right){x}$.
12
213.2-a1:
0.32757420146454194334957699864482071
comment: LMFDB curve 2.2.12.1-213.2-a1 has conductor ideal $(2w+15)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+{x}-1$.
12
213.2-b1:
0.033407225455291796514873918701140340
comment: LMFDB curve 2.2.12.1-213.2-b1 has conductor ideal $(2w+15)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+w{x}^{2}+{x}$.
12
218.1-c1:
0.19736648235892991463251528064689922
comment: LMFDB curve 2.2.12.1-218.1-c1 has conductor ideal $(9w+5)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-11w-19\right){x}+20w+60$.
12
218.1-c2:
0.065788827452976638210838426882299740
comment: LMFDB curve 2.2.12.1-218.1-c2 has conductor ideal $(9w+5)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-w+1\right){x}$.
12
218.1-d1:
0.010683217296832306790910788170779521
comment: LMFDB curve 2.2.12.1-218.1-d1 has conductor ideal $(9w+5)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}-5{x}+w+4$.
12
218.2-c1:
0.19736648235892991463251528064689922
comment: LMFDB curve 2.2.12.1-218.2-c1 has conductor ideal $(9w-5)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(11w-19\right){x}-20w+60$.
12
218.2-c2:
0.065788827452976638210838426882299740
comment: LMFDB curve 2.2.12.1-218.2-c2 has conductor ideal $(9w-5)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w+1\right){x}$.
12
218.2-d1:
0.010683217296832306790910788170779521
comment: LMFDB curve 2.2.12.1-218.2-d1 has conductor ideal $(9w-5)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-w-5\right){x}-w+4$.
12
219.1-b1:
0.71357585657734518397923755598514839
comment: LMFDB curve 2.2.12.1-219.1-b1 has conductor ideal $(10w-9)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}-{x}-3w+3$.
12
219.1-b2:
0.35678792828867259198961877799257419
comment: LMFDB curve 2.2.12.1-219.1-b2 has conductor ideal $(10w-9)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(20w-36\right){x}-56w+95$.
12
219.1-b3:
0.17839396414433629599480938899628709
comment: LMFDB curve 2.2.12.1-219.1-b3 has conductor ideal $(10w-9)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(325w-566\right){x}-4054w+7022$.
12
219.1-b4:
0.17839396414433629599480938899628709
comment: LMFDB curve 2.2.12.1-219.1-b4 has conductor ideal $(10w-9)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(35w-66\right){x}+70w-124$.
12
219.2-b1:
0.71357585657734518397923755598514839
comment: LMFDB curve 2.2.12.1-219.2-b1 has conductor ideal $(10w+9)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-w-1\right){x}+2w+3$.
12
219.2-b2:
0.17839396414433629599480938899628709
comment: LMFDB curve 2.2.12.1-219.2-b2 has conductor ideal $(10w+9)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-36w-66\right){x}-71w-124$.
12
219.2-b3:
0.35678792828867259198961877799257419
comment: LMFDB curve 2.2.12.1-219.2-b3 has conductor ideal $(10w+9)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-21w-36\right){x}+55w+95$.
12
219.2-b4:
0.17839396414433629599480938899628709
comment: LMFDB curve 2.2.12.1-219.2-b4 has conductor ideal $(10w+9)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-326w-566\right){x}+4053w+7022$.
12
227.1-b1:
0.027153001238771990682624227414553084
comment: LMFDB curve 2.2.12.1-227.1-b1 has conductor ideal $(-9w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(w-4\right){x}-w+1$.
12
227.2-b1:
0.027153001238771990682624227414553084
comment: LMFDB curve 2.2.12.1-227.2-b1 has conductor ideal $(-9w-4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}-{x}^{2}+\left(-2w-4\right){x}+w+1$.
12
229.1-a1:
0.19566847387366027225013968561615851
comment: LMFDB curve 2.2.12.1-229.1-a1 has conductor ideal $(-3w+16)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+{x}-1$.
12
229.1-b1:
0.11620786505755712517572540210501731
comment: LMFDB curve 2.2.12.1-229.1-b1 has conductor ideal $(-3w+16)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+w{x}^{2}+{x}$.
12
229.2-a1:
0.19566847387366027225013968561615851
comment: LMFDB curve 2.2.12.1-229.2-a1 has conductor ideal $(3w+16)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-w+1\right){x}-1$.
12
229.2-b1:
0.11620786505755712517572540210501731
comment: LMFDB curve 2.2.12.1-229.2-b1 has conductor ideal $(3w+16)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-w+1\right){x}$.
12
234.1-c1:
0.087272691957129407279792171542279949
comment: LMFDB curve 2.2.12.1-234.1-c1 has conductor ideal $(-9w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(14w-18\right){x}-21w+39$.
12
234.1-c2:
0.043636345978564703639896085771139974
comment: LMFDB curve 2.2.12.1-234.1-c2 has conductor ideal $(-9w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-w-3\right){x}$.
12
234.1-d1:
0.41245767598879889236909237979700350
comment: LMFDB curve 2.2.12.1-234.1-d1 has conductor ideal $(-9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-3w-5\right){x}+2w+4$.
12
234.1-d2:
0.82491535197759778473818475959400700
comment: LMFDB curve 2.2.12.1-234.1-d2 has conductor ideal $(-9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-13w-35\right){x}-48w-62$.
12
234.1-d3:
2.4747460559327933542145542787820210
comment: LMFDB curve 2.2.12.1-234.1-d3 has conductor ideal $(-9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(112w-860\right){x}-1943w+10079$.
12
234.1-d4:
1.2373730279663966771072771393910105
comment: LMFDB curve 2.2.12.1-234.1-d4 has conductor ideal $(-9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-83w-140\right){x}-503w-888$.
12
234.1-d5:
1.2373730279663966771072771393910105
comment: LMFDB curve 2.2.12.1-234.1-d5 has conductor ideal $(-9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-173w-365\right){x}+1882w+3482$.
12
234.1-d6:
2.4747460559327933542145542787820210
comment: LMFDB curve 2.2.12.1-234.1-d6 has conductor ideal $(-9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-1283w-2300\right){x}-33383w-58056$.
12
234.2-c1:
0.043636345978564703639896085771139974
comment: LMFDB curve 2.2.12.1-234.2-c1 has conductor ideal $(9w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}-3{x}-w$.
12
234.2-c2:
0.087272691957129407279792171542279949
comment: LMFDB curve 2.2.12.1-234.2-c2 has conductor ideal $(9w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-15w-18\right){x}+20w+39$.
12
234.2-d1:
1.2373730279663966771072771393910105
comment: LMFDB curve 2.2.12.1-234.2-d1 has conductor ideal $(9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(172w-365\right){x}-1883w+3482$.
12
234.2-d2:
0.41245767598879889236909237979700350
comment: LMFDB curve 2.2.12.1-234.2-d2 has conductor ideal $(9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(2w-5\right){x}-3w+4$.
12
234.2-d3:
1.2373730279663966771072771393910105
comment: LMFDB curve 2.2.12.1-234.2-d3 has conductor ideal $(9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(82w-140\right){x}+502w-888$.
12
234.2-d4:
2.4747460559327933542145542787820210
comment: LMFDB curve 2.2.12.1-234.2-d4 has conductor ideal $(9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(1282w-2300\right){x}+33382w-58056$.
12
234.2-d5:
0.82491535197759778473818475959400700
comment: LMFDB curve 2.2.12.1-234.2-d5 has conductor ideal $(9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(12w-35\right){x}+47w-62$.
12
234.2-d6:
2.4747460559327933542145542787820210
comment: LMFDB curve 2.2.12.1-234.2-d6 has conductor ideal $(9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-113w-860\right){x}+1942w+10079$.
12
241.1-a1:
0.67377538287726287859581150889539255
comment: LMFDB curve 2.2.12.1-241.1-a1 has conductor ideal $(-4w+17)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(w+2\right){x}$.
12
241.1-a2:
0.33688769143863143929790575444769627
comment: LMFDB curve 2.2.12.1-241.1-a2 has conductor ideal $(-4w+17)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(-4w-8\right){x}-11w-18$.
12
241.1-b1:
0.56819858694660568467708421391109765
comment: LMFDB curve 2.2.12.1-241.1-b1 has conductor ideal $(-4w+17)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(w+2\right){x}$.
12
241.1-b2:
0.28409929347330284233854210695554882
comment: LMFDB curve 2.2.12.1-241.1-b2 has conductor ideal $(-4w+17)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-4w-8\right){x}+11w+18$.
12
241.2-a1:
0.67377538287726287859581150889539255
comment: LMFDB curve 2.2.12.1-241.2-a1 has conductor ideal $(4w+17)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-w{x}^{2}+\left(-w+2\right){x}$.
12
241.2-a2:
0.33688769143863143929790575444769627
comment: LMFDB curve 2.2.12.1-241.2-a2 has conductor ideal $(4w+17)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-w{x}^{2}+\left(4w-8\right){x}+11w-18$.
12
241.2-b1:
0.56819858694660568467708421391109765
comment: LMFDB curve 2.2.12.1-241.2-b1 has conductor ideal $(4w+17)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-w+2\right){x}$.
12
241.2-b2:
0.28409929347330284233854210695554882
comment: LMFDB curve 2.2.12.1-241.2-b2 has conductor ideal $(4w+17)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(4w-8\right){x}-11w+18$.
12
242.1-b1:
2.8741866531708328014023547891975369
comment: LMFDB curve 2.2.12.1-242.1-b1 has conductor ideal $(11w+11)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(1626w-2837\right){x}+48173w-83484$.
12
242.1-b2:
0.95806221772361093380078492973251233
comment: LMFDB curve 2.2.12.1-242.1-b2 has conductor ideal $(11w+11)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(21w-37\right){x}+69w-121$.
12
242.1-b3:
0.47903110886180546690039246486625616
comment: LMFDB curve 2.2.12.1-242.1-b3 has conductor ideal $(11w+11)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(6w-12\right){x}-8w+12$.
12
242.1-b4:
1.4370933265854164007011773945987684
comment: LMFDB curve 2.2.12.1-242.1-b4 has conductor ideal $(11w+11)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(96w-187\right){x}+783w-1402$.
12
242.1-d1:
0.95806221772361093380078492973251233
comment: LMFDB curve 2.2.12.1-242.1-d1 has conductor ideal $(11w+11)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-22w-37\right){x}-70w-121$.
12
242.1-d2:
0.47903110886180546690039246486625616
comment: LMFDB curve 2.2.12.1-242.1-d2 has conductor ideal $(11w+11)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-7w-12\right){x}+7w+12$.
12
242.1-d3:
1.4370933265854164007011773945987684
comment: LMFDB curve 2.2.12.1-242.1-d3 has conductor ideal $(11w+11)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-97w-187\right){x}-784w-1402$.
12
242.1-d4:
2.8741866531708328014023547891975369
comment: LMFDB curve 2.2.12.1-242.1-d4 has conductor ideal $(11w+11)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-1627w-2837\right){x}-48174w-83484$.
12
242.2-c1:
0.11626740590924539294312936814939300
comment: LMFDB curve 2.2.12.1-242.2-c1 has conductor ideal $(-9w-1)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(-3w+5\right){x}-37w+61$.
12
242.2-c2:
0.038755801969748464314376456049797668
comment: LMFDB curve 2.2.12.1-242.2-c2 has conductor ideal $(-9w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(54w-90\right){x}-259w+447$.
12
242.2-d1:
0.0070934335843423329223391479716184559
comment: LMFDB curve 2.2.12.1-242.2-d1 has conductor ideal $(-9w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-10w-18\right){x}+26w+45$.
12
242.3-c1:
0.038755801969748464314376456049797668
comment: LMFDB curve 2.2.12.1-242.3-c1 has conductor ideal $(9w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-54w-90\right){x}+259w+447$.
12
242.3-c2:
0.11626740590924539294312936814939300
comment: LMFDB curve 2.2.12.1-242.3-c2 has conductor ideal $(9w-1)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-w{x}^{2}+\left(3w+5\right){x}+37w+61$.
12
242.3-d1:
0.0070934335843423329223391479716184559
comment: LMFDB curve 2.2.12.1-242.3-d1 has conductor ideal $(9w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(10w-18\right){x}-26w+45$.
13
51.2-a1:
0.034450165062797493363476807161562966
comment: LMFDB curve 2.2.13.1-51.2-a1 has conductor ideal $(-2w+9)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}-{x}^{2}+\left(-2w+4\right){x}+w-3$.
13
51.2-a2:
0.011483388354265831121158935720520988
comment: LMFDB curve 2.2.13.1-51.2-a2 has conductor ideal $(-2w+9)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}-{x}^{2}+\left(w-1\right){x}-w+1$.
13
51.3-a1:
0.011483388354265831121158935720520988
comment: LMFDB curve 2.2.13.1-51.3-a1 has conductor ideal $(2w+7)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}-{x}^{2}-w{x}$.
13
51.3-a2:
0.034450165062797493363476807161562966
comment: LMFDB curve 2.2.13.1-51.3-a2 has conductor ideal $(2w+7)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(2w+2\right){x}-2w-2$.
13
52.1-b1:
1.3834480278188076609662078599889399
comment: LMFDB curve 2.2.13.1-52.1-b1 has conductor ideal $(-4w+2)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-213{x}-1257$.
13
52.1-b2:
0.19763543254554395156660112285556285
comment: LMFDB curve 2.2.13.1-52.1-b2 has conductor ideal $(-4w+2)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-3{x}+3$.
13
53.1-a1:
0.047438850434816421561347347750918711
comment: LMFDB curve 2.2.13.1-53.1-a1 has conductor ideal $(w+7)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-w+1\right){x}$.
13
53.2-a1:
0.047438850434816421561347347750918711
comment: LMFDB curve 2.2.13.1-53.2-a1 has conductor ideal $(w-8)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}$.
13
75.1-c1:
0.043021106264954044533400271735888302
comment: LMFDB curve 2.2.13.1-75.1-c1 has conductor ideal $(-5w)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w-4\right){x}-2w+2$.
13
75.1-c2:
0.021510553132477022266700135867944151
comment: LMFDB curve 2.2.13.1-75.1-c2 has conductor ideal $(-5w)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-4w-9\right){x}+2w+10$.
13
75.2-c1:
0.021510553132477022266700135867944151
comment: LMFDB curve 2.2.13.1-75.2-c1 has conductor ideal $(-5w+5)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(3w-12\right){x}-2w+12$.
13
75.2-c2:
0.043021106264954044533400271735888302
comment: LMFDB curve 2.2.13.1-75.2-c2 has conductor ideal $(-5w+5)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-2w-2\right){x}+2w$.
13
81.4-c1:
0.073680404690884373686886570258561767
comment: LMFDB curve 2.2.13.1-81.4-c1 has conductor ideal $(5w-2)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(3w-9\right){x}-10w+19$.
13
81.4-c2:
0.024560134896961457895628856752853922
comment: LMFDB curve 2.2.13.1-81.4-c2 has conductor ideal $(5w-2)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(2w-5\right){x}-w+1$.
13
81.5-c1:
0.024560134896961457895628856752853922
comment: LMFDB curve 2.2.13.1-81.5-c1 has conductor ideal $(5w-3)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-2w-3\right){x}$.
13
81.5-c2:
0.073680404690884373686886570258561767
comment: LMFDB curve 2.2.13.1-81.5-c2 has conductor ideal $(5w-3)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-3w-6\right){x}+9w+9$.
13
92.1-b1:
0.010260041088706125297145539079062561
comment: LMFDB curve 2.2.13.1-92.1-b1 has conductor ideal $(-6w-2)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(w-1\right){x}+1$.
13
92.2-b1:
0.010260041088706125297145539079062561
comment: LMFDB curve 2.2.13.1-92.2-b1 has conductor ideal $(6w-8)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(2w+2\right){x}+w+2$.
13
108.3-c1:
0.20235420373739206897755537290140038
comment: LMFDB curve 2.2.13.1-108.3-c1 has conductor ideal $(-2w-10)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-{x}^{2}+\left(21w-140\right){x}-337w+432$.
13
108.3-c2:
0.022483800415265785441950596989044487
comment: LMFDB curve 2.2.13.1-108.3-c2 has conductor ideal $(-2w-10)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+3{x}+1$.
13
108.3-c3:
0.067451401245797356325851790967133462
comment: LMFDB curve 2.2.13.1-108.3-c3 has conductor ideal $(-2w-10)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-{x}^{2}+w{x}-w$.
13
108.4-c1:
0.20235420373739206897755537290140038
comment: LMFDB curve 2.2.13.1-108.4-c1 has conductor ideal $(2w-12)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-22w-119\right){x}+337w+95$.
13
108.4-c2:
0.067451401245797356325851790967133462
comment: LMFDB curve 2.2.13.1-108.4-c2 has conductor ideal $(2w-12)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-2w+1\right){x}+w-1$.
13
108.4-c3:
0.022483800415265785441950596989044487
comment: LMFDB curve 2.2.13.1-108.4-c3 has conductor ideal $(2w-12)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(2w+1\right){x}-w-1$.
13
116.1-a1:
0.23195983482860025715116584092385302
comment: LMFDB curve 2.2.13.1-116.1-a1 has conductor ideal $(-6w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+{x}^{2}+\left(-7w-10\right){x}+11w+14$.
13
116.1-a2:
1.1597991741430012857558292046192651
comment: LMFDB curve 2.2.13.1-116.1-a2 has conductor ideal $(-6w+4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+{x}^{2}+\left(-67w-80\right){x}-2053w-2684$.
13
116.2-a1:
0.23195983482860025715116584092385302
comment: LMFDB curve 2.2.13.1-116.2-a1 has conductor ideal $(6w-2)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(7w-17\right){x}-18w+42$.
13
116.2-a2:
1.1597991741430012857558292046192651
comment: LMFDB curve 2.2.13.1-116.2-a2 has conductor ideal $(6w-2)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(67w-147\right){x}+1986w-4590$.
13
117.1-b1:
2.5346874369026790221063015835249230
comment: LMFDB curve 2.2.13.1-117.1-b1 has conductor ideal $(-6w+3)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(290w-734\right){x}+4014w-9513$.
13
117.1-b2:
1.2673437184513395110531507917624615
comment: LMFDB curve 2.2.13.1-117.1-b2 has conductor ideal $(-6w+3)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+{x}$.
13
117.1-b3:
0.63367185922566975552657539588123076
comment: LMFDB curve 2.2.13.1-117.1-b3 has conductor ideal $(-6w+3)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}-4{x}-5$.
13
117.1-b4:
0.31683592961283487776328769794061538
comment: LMFDB curve 2.2.13.1-117.1-b4 has conductor ideal $(-6w+3)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}-19{x}+22$.
13
117.1-b5:
1.2673437184513395110531507917624615
comment: LMFDB curve 2.2.13.1-117.1-b5 has conductor ideal $(-6w+3)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}-69{x}-252$.
13
117.1-b6:
2.5346874369026790221063015835249230
comment: LMFDB curve 2.2.13.1-117.1-b6 has conductor ideal $(-6w+3)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-290w-444\right){x}-4014w-5499$.
13
117.2-c1:
0.35923533700325887124117050780749482
comment: LMFDB curve 2.2.13.1-117.2-c1 has conductor ideal $(-7w+10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-6w-11\right){x}-22w-33$.
13
117.2-c2:
1.0777060110097766137235115234224844
comment: LMFDB curve 2.2.13.1-117.2-c2 has conductor ideal $(-7w+10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-w-1\right){x}$.
13
117.2-c3:
0.53885300550488830686175576171124223
comment: LMFDB curve 2.2.13.1-117.2-c3 has conductor ideal $(-7w+10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-6w-11\right){x}+6w+9$.
13
117.2-c4:
0.17961766850162943562058525390374741
comment: LMFDB curve 2.2.13.1-117.2-c4 has conductor ideal $(-7w+10)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-w{x}^{2}+\left(178w-412\right){x}+91w-210$.
13
117.3-c1:
0.17961766850162943562058525390374741
comment: LMFDB curve 2.2.13.1-117.3-c1 has conductor ideal $(-7w-3)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-178w-234\right){x}-91w-119$.
13
117.3-c2:
1.0777060110097766137235115234224844
comment: LMFDB curve 2.2.13.1-117.3-c2 has conductor ideal $(-7w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}-w{x}-w+1$.
13
117.3-c3:
0.35923533700325887124117050780749482
comment: LMFDB curve 2.2.13.1-117.3-c3 has conductor ideal $(-7w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(4w-15\right){x}+21w-54$.
13
117.3-c4:
0.53885300550488830686175576171124223
comment: LMFDB curve 2.2.13.1-117.3-c4 has conductor ideal $(-7w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(4w-15\right){x}-7w+16$.
13
121.1-a1:
32.122151414019583849483096307902466
comment: LMFDB curve 2.2.13.1-121.1-a1 has conductor ideal $(11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}-7820{x}-263580$.
13
121.1-a2:
6.4244302828039167698966192615804933
comment: LMFDB curve 2.2.13.1-121.1-a2 has conductor ideal $(11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}-10{x}-20$.
13
121.1-a3:
1.2848860565607833539793238523160986
comment: LMFDB curve 2.2.13.1-121.1-a3 has conductor ideal $(11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}$.
13
127.1-b1:
0.087682650821827162868788102414832749
comment: LMFDB curve 2.2.13.1-127.1-b1 has conductor ideal $(-3w-11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(w-1\right){x}^{2}+{x}$.
13
127.2-b1:
0.087682650821827162868788102414832749
comment: LMFDB curve 2.2.13.1-127.2-b1 has conductor ideal $(3w-14)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-w{x}^{2}+{x}$.
13
129.1-a1:
0.13563703247651196490696173688893755
comment: LMFDB curve 2.2.13.1-129.1-a1 has conductor ideal $(w+11)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(6w-11\right){x}-10w+24$.
13
129.1-a2:
0.27127406495302392981392347377787511
comment: LMFDB curve 2.2.13.1-129.1-a2 has conductor ideal $(w+11)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(w-1\right){x}$.
13
129.4-a1:
0.27127406495302392981392347377787511
comment: LMFDB curve 2.2.13.1-129.4-a1 has conductor ideal $(w-12)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}-w{x}$.
13
129.4-a2:
0.13563703247651196490696173688893755
comment: LMFDB curve 2.2.13.1-129.4-a2 has conductor ideal $(w-12)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-6w-5\right){x}+10w+14$.
13
144.2-b1:
0.27416580739279061087696934174393823
comment: LMFDB curve 2.2.13.1-144.2-b1 has conductor ideal $(4w+12)$, rank $1$, and equation ${y}^2={x}^{3}+w{x}^{2}+\left(-16w-21\right){x}+48w+63$.
13
144.2-b2:
0.091388602464263536958989780581312745
comment: LMFDB curve 2.2.13.1-144.2-b2 has conductor ideal $(4w+12)$, rank $1$, and equation ${y}^2={x}^{3}+w{x}^{2}+\left(5w+6\right){x}$.
13
144.2-b3:
0.18277720492852707391797956116262549
comment: LMFDB curve 2.2.13.1-144.2-b3 has conductor ideal $(4w+12)$, rank $1$, and equation ${y}^2={x}^{3}+w{x}^{2}+\left(-20w-24\right){x}-44w-60$.
13
144.2-b4:
0.54833161478558122175393868348787647
comment: LMFDB curve 2.2.13.1-144.2-b4 has conductor ideal $(4w+12)$, rank $1$, and equation ${y}^2={x}^{3}+w{x}^{2}+\left(14w-39\right){x}-147w+342$.
13
144.3-b1:
0.54833161478558122175393868348787647
comment: LMFDB curve 2.2.13.1-144.3-b1 has conductor ideal $(-4w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-w+1\right){x}^{2}+\left(-14w-25\right){x}+147w+195$.
13
144.3-b2:
0.18277720492852707391797956116262549
comment: LMFDB curve 2.2.13.1-144.3-b2 has conductor ideal $(-4w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-w+1\right){x}^{2}+\left(20w-44\right){x}+44w-104$.
13
144.3-b3:
0.091388602464263536958989780581312745
comment: LMFDB curve 2.2.13.1-144.3-b3 has conductor ideal $(-4w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-w+1\right){x}^{2}+\left(-5w+11\right){x}$.
13
144.3-b4:
0.27416580739279061087696934174393823
comment: LMFDB curve 2.2.13.1-144.3-b4 has conductor ideal $(-4w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-w+1\right){x}^{2}+\left(16w-37\right){x}-48w+111$.
13
147.1-a1:
0.066487499301853552138480427506729499
comment: LMFDB curve 2.2.13.1-147.1-a1 has conductor ideal $(-7w)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(w+1\right){x}-1$.
13
147.2-a1:
0.066487499301853552138480427506729499
comment: LMFDB curve 2.2.13.1-147.2-a1 has conductor ideal $(-7w+7)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w+1\right){x}$.
13
153.1-e1:
0.14725810710574640095141857561205073
comment: LMFDB curve 2.2.13.1-153.1-e1 has conductor ideal $(3w+12)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(52w+60\right){x}+412w+542$.
13
153.1-e2:
0.073629053552873200475709287806025369
comment: LMFDB curve 2.2.13.1-153.1-e2 has conductor ideal $(3w+12)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+w{x}^{2}+\left(19w-36\right){x}-57w+135$.
13
153.1-e3:
0.14725810710574640095141857561205073
comment: LMFDB curve 2.2.13.1-153.1-e3 has conductor ideal $(3w+12)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+w{x}^{2}+\left(4w-1\right){x}+w+2$.
13
153.1-e4:
0.036814526776436600237854643903012684
comment: LMFDB curve 2.2.13.1-153.1-e4 has conductor ideal $(3w+12)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+w{x}^{2}+\left(4w-11\right){x}-125w+288$.
13
153.2-e1:
0.036814526776436600237854643903012684
comment: LMFDB curve 2.2.13.1-153.2-e1 has conductor ideal $(3w-15)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-2w-11\right){x}+114w+167$.
13
153.2-e2:
0.14725810710574640095141857561205073
comment: LMFDB curve 2.2.13.1-153.2-e2 has conductor ideal $(3w-15)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-2w-1\right){x}-2w-3$.
13
153.2-e3:
0.073629053552873200475709287806025369
comment: LMFDB curve 2.2.13.1-153.2-e3 has conductor ideal $(3w-15)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-17w-21\right){x}+36w+47$.
13
153.2-e4:
0.14725810710574640095141857561205073
comment: LMFDB curve 2.2.13.1-153.2-e4 has conductor ideal $(3w-15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-54w+113\right){x}-413w+955$.
13
153.3-d1:
0.12922751376777097867847720436095616
comment: LMFDB curve 2.2.13.1-153.3-d1 has conductor ideal $(w+12)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(2w-6\right){x}-2w+5$.
13
153.3-d2:
0.51691005507108391471390881744382466
comment: LMFDB curve 2.2.13.1-153.3-d2 has conductor ideal $(w+12)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(-589w-789\right){x}+1918w+2545$.
13
153.3-d3:
0.25845502753554195735695440872191233
comment: LMFDB curve 2.2.13.1-153.3-d3 has conductor ideal $(w+12)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(42w-111\right){x}-198w+479$.
13
153.3-d4:
0.12922751376777097867847720436095616
comment: LMFDB curve 2.2.13.1-153.3-d4 has conductor ideal $(w+12)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-13w-186\right){x}+162w+911$.
13
153.4-b1:
0.11575449934544826252596696746124575
comment: LMFDB curve 2.2.13.1-153.4-b1 has conductor ideal $(-7w+6)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}-w{x}^{2}+\left(-18w+27\right){x}+39w-54$.
13
153.4-b2:
0.038584833115149420841988989153748584
comment: LMFDB curve 2.2.13.1-153.4-b2 has conductor ideal $(-7w+6)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}-w{x}^{2}+\left(2w-3\right){x}-2w+3$.
13
153.5-b1:
0.038584833115149420841988989153748584
comment: LMFDB curve 2.2.13.1-153.5-b1 has conductor ideal $(7w-1)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-2w-1\right){x}+w+1$.
13
153.5-b2:
0.11575449934544826252596696746124575
comment: LMFDB curve 2.2.13.1-153.5-b2 has conductor ideal $(7w-1)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(18w+9\right){x}-40w-15$.
13
153.6-d1:
0.12922751376777097867847720436095616
comment: LMFDB curve 2.2.13.1-153.6-d1 has conductor ideal $(w-13)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-3w-4\right){x}+2w+3$.
13
153.6-d2:
0.12922751376777097867847720436095616
comment: LMFDB curve 2.2.13.1-153.6-d2 has conductor ideal $(w-13)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(12w-199\right){x}-162w+1073$.
13
153.6-d3:
0.25845502753554195735695440872191233
comment: LMFDB curve 2.2.13.1-153.6-d3 has conductor ideal $(w-13)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-43w-69\right){x}+198w+281$.
13
153.6-d4:
0.51691005507108391471390881744382466
comment: LMFDB curve 2.2.13.1-153.6-d4 has conductor ideal $(w-13)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(588w-1378\right){x}-1919w+4463$.
13
159.1-a1:
3.3970636577969173422439401398676850
comment: LMFDB curve 2.2.13.1-159.1-a1 has conductor ideal $(7w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(4w-15\right){x}+6w-51$.
13
159.1-a2:
1.1323545525989724474146467132892283
comment: LMFDB curve 2.2.13.1-159.1-a2 has conductor ideal $(7w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}-w{x}$.
13
159.1-a3:
0.56617727629948622370732335664461417
comment: LMFDB curve 2.2.13.1-159.1-a3 has conductor ideal $(7w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-6w-5\right){x}+6w+9$.
13
159.1-a4:
1.6985318288984586711219700699338425
comment: LMFDB curve 2.2.13.1-159.1-a4 has conductor ideal $(7w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-46w-80\right){x}-247w-381$.
13
159.2-a1:
0.085433202287481941603043720809624396
comment: LMFDB curve 2.2.13.1-159.2-a1 has conductor ideal $(-8w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-10w-12\right){x}-17w-22$.
13
159.2-a2:
0.25629960686244582480913116242887318
comment: LMFDB curve 2.2.13.1-159.2-a2 has conductor ideal $(-8w-3)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(2w+2\right){x}+w-1$.
13
159.3-a1:
0.25629960686244582480913116242887318
comment: LMFDB curve 2.2.13.1-159.3-a1 has conductor ideal $(-8w+11)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-2w+4\right){x}-w$.
13
159.3-a2:
0.085433202287481941603043720809624396
comment: LMFDB curve 2.2.13.1-159.3-a2 has conductor ideal $(-8w+11)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+{x}^{2}+\left(10w-22\right){x}+27w-61$.
13
159.4-a1:
1.6985318288984586711219700699338425
comment: LMFDB curve 2.2.13.1-159.4-a1 has conductor ideal $(7w-4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(44w-126\right){x}+246w-628$.
13
159.4-a2:
0.56617727629948622370732335664461417
comment: LMFDB curve 2.2.13.1-159.4-a2 has conductor ideal $(7w-4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(4w-11\right){x}-7w+15$.
13
159.4-a3:
1.1323545525989724474146467132892283
comment: LMFDB curve 2.2.13.1-159.4-a3 has conductor ideal $(7w-4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}-w$.
13
159.4-a4:
3.3970636577969173422439401398676850
comment: LMFDB curve 2.2.13.1-159.4-a4 has conductor ideal $(7w-4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-6w-11\right){x}-7w-45$.
13
183.1-a1:
0.30953502214458329657811990386358913
comment: LMFDB curve 2.2.13.1-183.1-a1 has conductor ideal $(-8w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(6w-10\right){x}+8w-21$.
13
183.1-a2:
0.61907004428916659315623980772717827
comment: LMFDB curve 2.2.13.1-183.1-a2 has conductor ideal $(-8w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+w{x}-1$.
13
183.2-b1:
0.11139121632880409148329235461016497
comment: LMFDB curve 2.2.13.1-183.2-b1 has conductor ideal $(-2w+15)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}+\left(w-2\right){x}-w+2$.
13
183.2-c1:
0.098786617957694439726192952132956797
comment: LMFDB curve 2.2.13.1-183.2-c1 has conductor ideal $(-2w+15)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-3w-5\right){x}+6w+8$.
13
183.2-c2:
0.049393308978847219863096476066478398
comment: LMFDB curve 2.2.13.1-183.2-c2 has conductor ideal $(-2w+15)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-53w-70\right){x}+319w+416$.
13
183.2-d1:
0.031128861282495433334056693232077033
comment: LMFDB curve 2.2.13.1-183.2-d1 has conductor ideal $(-2w+15)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(30w-67\right){x}+140w-323$.
13
183.3-b1:
0.11139121632880409148329235461016497
comment: LMFDB curve 2.2.13.1-183.3-b1 has conductor ideal $(2w+13)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}+\left(-w-1\right){x}+w+1$.
13
183.3-c1:
0.049393308978847219863096476066478398
comment: LMFDB curve 2.2.13.1-183.3-c1 has conductor ideal $(2w+13)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(52w-122\right){x}-320w+736$.
13
183.3-c2:
0.098786617957694439726192952132956797
comment: LMFDB curve 2.2.13.1-183.3-c2 has conductor ideal $(2w+13)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(2w-7\right){x}-7w+15$.
13
183.3-d1:
0.031128861282495433334056693232077033
comment: LMFDB curve 2.2.13.1-183.3-d1 has conductor ideal $(2w+13)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+w{x}^{2}+\left(-30w-37\right){x}-140w-183$.
13
183.4-a1:
0.61907004428916659315623980772717827
comment: LMFDB curve 2.2.13.1-183.4-a1 has conductor ideal $(8w-9)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w+1\right){x}$.
13
183.4-a2:
0.30953502214458329657811990386358913
comment: LMFDB curve 2.2.13.1-183.4-a2 has conductor ideal $(8w-9)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-4w-4\right){x}-13w-17$.
13
192.1-a1:
1.0729711142840910304973416305073694
comment: LMFDB curve 2.2.13.1-192.1-a1 has conductor ideal $(-8w)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w-1\right){x}^{2}+\left(w+3\right){x}-2w-3$.
13
192.1-a2:
0.53648555714204551524867081525368470
comment: LMFDB curve 2.2.13.1-192.1-a2 has conductor ideal $(-8w)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w-1\right){x}^{2}+\left(-14w-17\right){x}-39w-51$.
13
192.1-a3:
1.0729711142840910304973416305073694
comment: LMFDB curve 2.2.13.1-192.1-a3 has conductor ideal $(-8w)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w-1\right){x}^{2}+\left(-54w-77\right){x}+249w+321$.
13
192.1-a4:
1.0729711142840910304973416305073694
comment: LMFDB curve 2.2.13.1-192.1-a4 has conductor ideal $(-8w)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w-1\right){x}^{2}+\left(-3w+1\right){x}+155w-366$.
13
192.1-c1:
0.049737267332124039865341017045006857
comment: LMFDB curve 2.2.13.1-192.1-c1 has conductor ideal $(-8w)$, rank $1$, and equation ${y}^2={x}^{3}+{x}^{2}+\left(3w+3\right){x}+16w+21$.
13
192.1-c2:
0.024868633666062019932670508522503428
comment: LMFDB curve 2.2.13.1-192.1-c2 has conductor ideal $(-8w)$, rank $1$, and equation ${y}^2={x}^{3}+{x}^{2}+\left(36w-84\right){x}-224w+516$.
13
192.2-a1:
1.0729711142840910304973416305073694
comment: LMFDB curve 2.2.13.1-192.2-a1 has conductor ideal $(-8w+8)$, rank $1$, and equation ${y}^2={x}^{3}-w{x}^{2}+\left(3w-2\right){x}-155w-211$.
13
192.2-a2:
1.0729711142840910304973416305073694
comment: LMFDB curve 2.2.13.1-192.2-a2 has conductor ideal $(-8w+8)$, rank $1$, and equation ${y}^2={x}^{3}-w{x}^{2}+\left(-w+4\right){x}+2w-5$.
13
192.2-a3:
0.53648555714204551524867081525368470
comment: LMFDB curve 2.2.13.1-192.2-a3 has conductor ideal $(-8w+8)$, rank $1$, and equation ${y}^2={x}^{3}-w{x}^{2}+\left(14w-31\right){x}+39w-90$.
13
192.2-a4:
1.0729711142840910304973416305073694
comment: LMFDB curve 2.2.13.1-192.2-a4 has conductor ideal $(-8w+8)$, rank $1$, and equation ${y}^2={x}^{3}-w{x}^{2}+\left(54w-131\right){x}-249w+570$.
13
192.2-c1:
0.024868633666062019932670508522503428
comment: LMFDB curve 2.2.13.1-192.2-c1 has conductor ideal $(-8w+8)$, rank $1$, and equation ${y}^2={x}^{3}+{x}^{2}+\left(-36w-48\right){x}+224w+292$.
13
192.2-c2:
0.049737267332124039865341017045006857
comment: LMFDB curve 2.2.13.1-192.2-c2 has conductor ideal $(-8w+8)$, rank $1$, and equation ${y}^2={x}^{3}+{x}^{2}+\left(-3w+6\right){x}-16w+37$.
13
204.1-b1:
0.029307859732861553053005022151718876
comment: LMFDB curve 2.2.13.1-204.1-b1 has conductor ideal $(-8w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(4w-16\right){x}-7w+16$.
13
204.1-b2:
0.058615719465723106106010044303437753
comment: LMFDB curve 2.2.13.1-204.1-b2 has conductor ideal $(-8w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(84w-256\right){x}-631w+1600$.
13
204.4-b1:
0.029307859732861553053005022151718876
comment: LMFDB curve 2.2.13.1-204.4-b1 has conductor ideal $(8w-2)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-6w-11\right){x}+6w+9$.
13
204.4-b2:
0.058615719465723106106010044303437753
comment: LMFDB curve 2.2.13.1-204.4-b2 has conductor ideal $(8w-2)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-86w-171\right){x}+630w+969$.
13
207.1-c1:
0.85709880562615994568591686037844803
comment: LMFDB curve 2.2.13.1-207.1-c1 has conductor ideal $(-9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(3w-6\right){x}-5w+10$.
13
207.1-c2:
1.7141976112523198913718337207568960
comment: LMFDB curve 2.2.13.1-207.1-c2 has conductor ideal $(-9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(773w-1751\right){x}+15168w-35038$.
13
207.1-c3:
0.85709880562615994568591686037844803
comment: LMFDB curve 2.2.13.1-207.1-c3 has conductor ideal $(-9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(43w-116\right){x}+213w-532$.
13
207.1-c4:
0.42854940281307997284295843018922401
comment: LMFDB curve 2.2.13.1-207.1-c4 has conductor ideal $(-9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(3w-11\right){x}-2w+2$.
13
207.1-c5:
1.7141976112523198913718337207568960
comment: LMFDB curve 2.2.13.1-207.1-c5 has conductor ideal $(-9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-47w-161\right){x}-102w-1702$.
13
207.1-c6:
0.21427470140653998642147921509461200
comment: LMFDB curve 2.2.13.1-207.1-c6 has conductor ideal $(-9w-3)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-37w+14\right){x}+55w+44$.
13
207.2-c1:
1.7141976112523198913718337207568960
comment: LMFDB curve 2.2.13.1-207.2-c1 has conductor ideal $(9w-12)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(46w-207\right){x}+101w-1803$.
13
207.2-c2:
0.21427470140653998642147921509461200
comment: LMFDB curve 2.2.13.1-207.2-c2 has conductor ideal $(9w-12)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(36w-22\right){x}-56w+100$.
13
207.2-c3:
0.42854940281307997284295843018922401
comment: LMFDB curve 2.2.13.1-207.2-c3 has conductor ideal $(9w-12)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-4w-7\right){x}+w+1$.
13
207.2-c4:
0.85709880562615994568591686037844803
comment: LMFDB curve 2.2.13.1-207.2-c4 has conductor ideal $(9w-12)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-4w-2\right){x}+4w+6$.
13
207.2-c5:
0.85709880562615994568591686037844803
comment: LMFDB curve 2.2.13.1-207.2-c5 has conductor ideal $(9w-12)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-44w-72\right){x}-214w-318$.
13
207.2-c6:
1.7141976112523198913718337207568960
comment: LMFDB curve 2.2.13.1-207.2-c6 has conductor ideal $(9w-12)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-774w-977\right){x}-15169w-19869$.
13
207.3-a1:
0.11345575965644056743971238490030896
comment: LMFDB curve 2.2.13.1-207.3-a1 has conductor ideal $(w+14)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(26w-58\right){x}-84w+189$.
13
207.3-a2:
0.22691151931288113487942476980061793
comment: LMFDB curve 2.2.13.1-207.3-a2 has conductor ideal $(w+14)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(w-3\right){x}-w+1$.
13
207.3-b1:
0.49227993874024390467437169043514451
comment: LMFDB curve 2.2.13.1-207.3-b1 has conductor ideal $(w+14)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-18w-32\right){x}-164w-208$.
13
207.3-b2:
0.49227993874024390467437169043514451
comment: LMFDB curve 2.2.13.1-207.3-b2 has conductor ideal $(w+14)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-3w-2\right){x}$.
13
207.3-b3:
0.98455987748048780934874338087028902
comment: LMFDB curve 2.2.13.1-207.3-b3 has conductor ideal $(w+14)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-28w-37\right){x}-98w-130$.
13
207.3-b4:
1.9691197549609756186974867617405780
comment: LMFDB curve 2.2.13.1-207.3-b4 has conductor ideal $(w+14)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-438w-602\right){x}-6724w-8852$.
13
207.6-a1:
0.22691151931288113487942476980061793
comment: LMFDB curve 2.2.13.1-207.6-a1 has conductor ideal $(w-15)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-2w-2\right){x}$.
13
207.6-a2:
0.11345575965644056743971238490030896
comment: LMFDB curve 2.2.13.1-207.6-a2 has conductor ideal $(w-15)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-27w-32\right){x}+83w+105$.
13
207.6-b1:
0.49227993874024390467437169043514451
comment: LMFDB curve 2.2.13.1-207.6-b1 has conductor ideal $(w-15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(2w-5\right){x}$.
13
207.6-b2:
0.98455987748048780934874338087028902
comment: LMFDB curve 2.2.13.1-207.6-b2 has conductor ideal $(w-15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(27w-65\right){x}+98w-228$.
13
207.6-b3:
0.49227993874024390467437169043514451
comment: LMFDB curve 2.2.13.1-207.6-b3 has conductor ideal $(w-15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(17w-50\right){x}+164w-372$.
13
207.6-b4:
1.9691197549609756186974867617405780
comment: LMFDB curve 2.2.13.1-207.6-b4 has conductor ideal $(w-15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(437w-1040\right){x}+6724w-15576$.
13
212.1-a1:
0.23812446454516990930670856642795748
comment: LMFDB curve 2.2.13.1-212.1-a1 has conductor ideal $(2w+14)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-2w-14\right){x}-13w-4$.
13
212.1-b1:
0.038126720011341686330489351832612167
comment: LMFDB curve 2.2.13.1-212.1-b1 has conductor ideal $(2w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-2w-1\right){x}+w+1$.
13
212.2-a1:
0.23812446454516990930670856642795748
comment: LMFDB curve 2.2.13.1-212.2-a1 has conductor ideal $(2w-16)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}-w{x}^{2}-15{x}+12w-16$.
13
212.2-b1:
0.038126720011341686330489351832612167
comment: LMFDB curve 2.2.13.1-212.2-b1 has conductor ideal $(2w-16)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(4w-6\right){x}-4w+10$.
13
221.1-a1:
0.27171590503423298366403703713938045
comment: LMFDB curve 2.2.13.1-221.1-a1 has conductor ideal $(9w-11)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(5w-27\right){x}-9w+37$.
13
221.1-a2:
0.090571968344744327888012345713126819
comment: LMFDB curve 2.2.13.1-221.1-a2 has conductor ideal $(9w-11)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-20w+38\right){x}-117w+306$.
13
221.1-b1:
0.023669495332886939409352673863269046
comment: LMFDB curve 2.2.13.1-221.1-b1 has conductor ideal $(9w-11)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-10w-13\right){x}+76w+99$.
13
221.1-c1:
0.078912461146230447910464111093015492
comment: LMFDB curve 2.2.13.1-221.1-c1 has conductor ideal $(9w-11)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-w+2\right){x}-3$.
13
221.2-a1:
0.27171590503423298366403703713938045
comment: LMFDB curve 2.2.13.1-221.2-a1 has conductor ideal $(9w+2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-7w-22\right){x}+8w+28$.
13
221.2-a2:
0.090571968344744327888012345713126819
comment: LMFDB curve 2.2.13.1-221.2-a2 has conductor ideal $(9w+2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(18w+18\right){x}+116w+189$.
13
221.2-b1:
0.023669495332886939409352673863269046
comment: LMFDB curve 2.2.13.1-221.2-b1 has conductor ideal $(9w+2)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+w{x}^{2}+\left(10w-23\right){x}-77w+176$.
13
221.2-c1:
0.078912461146230447910464111093015492
comment: LMFDB curve 2.2.13.1-221.2-c1 has conductor ideal $(9w+2)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+2{x}-w-2$.
13
225.1-b1:
4.1132801027481428605624854901410499
comment: LMFDB curve 2.2.13.1-225.1-b1 has conductor ideal $(15)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-110{x}-880$.
13
225.1-b2:
1.0283200256870357151406213725352624
comment: LMFDB curve 2.2.13.1-225.1-b2 has conductor ideal $(15)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}$.
13
225.1-b3:
2.0566400513740714302812427450705249
comment: LMFDB curve 2.2.13.1-225.1-b3 has conductor ideal $(15)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+35{x}-28$.
13
225.1-b4:
1.0283200256870357151406213725352624
comment: LMFDB curve 2.2.13.1-225.1-b4 has conductor ideal $(15)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-10{x}-10$.
13
225.1-b5:
0.51416001284351785757031068626763124
comment: LMFDB curve 2.2.13.1-225.1-b5 has conductor ideal $(15)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-5{x}+2$.
13
225.1-b6:
2.0566400513740714302812427450705249
comment: LMFDB curve 2.2.13.1-225.1-b6 has conductor ideal $(15)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-135{x}-660$.
13
225.1-b7:
1.0283200256870357151406213725352624
comment: LMFDB curve 2.2.13.1-225.1-b7 has conductor ideal $(15)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-80{x}+242$.
13
225.1-b8:
4.1132801027481428605624854901410499
comment: LMFDB curve 2.2.13.1-225.1-b8 has conductor ideal $(15)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-2160{x}-39540$.
13
225.2-b1:
1.3353458433715889853754533596224320
comment: LMFDB curve 2.2.13.1-225.2-b1 has conductor ideal $(5w+15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}-{x}^{2}+\left(31w+27\right){x}+2233w+2894$.
13
225.2-b2:
0.33383646084289724634386333990560802
comment: LMFDB curve 2.2.13.1-225.2-b2 has conductor ideal $(5w+15)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(2w-6\right){x}-w+1$.
13
225.2-b3:
0.66767292168579449268772667981121604
comment: LMFDB curve 2.2.13.1-225.2-b3 has conductor ideal $(5w+15)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(27w-66\right){x}+103w-236$.
13
225.2-b4:
0.33383646084289724634386333990560802
comment: LMFDB curve 2.2.13.1-225.2-b4 has conductor ideal $(5w+15)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(2w-51\right){x}+244w-434$.
13
225.3-b1:
0.33383646084289724634386333990560802
comment: LMFDB curve 2.2.13.1-225.3-b1 has conductor ideal $(-5w+20)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-3w-49\right){x}-245w-190$.
13
225.3-b2:
0.33383646084289724634386333990560802
comment: LMFDB curve 2.2.13.1-225.3-b2 has conductor ideal $(-5w+20)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-3w-4\right){x}$.
13
225.3-b3:
0.66767292168579449268772667981121604
comment: LMFDB curve 2.2.13.1-225.3-b3 has conductor ideal $(-5w+20)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-28w-39\right){x}-104w-133$.
13
225.3-b4:
1.3353458433715889853754533596224320
comment: LMFDB curve 2.2.13.1-225.3-b4 has conductor ideal $(-5w+20)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-w{x}^{2}+\left(-31w+58\right){x}-2233w+5127$.
13
237.1-c1:
0.11205478094430131937437745047039833
comment: LMFDB curve 2.2.13.1-237.1-c1 has conductor ideal $(w+15)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(w-2\right){x}$.
13
237.1-c2:
0.056027390472150659687188725235199167
comment: LMFDB curve 2.2.13.1-237.1-c2 has conductor ideal $(w+15)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-4w+8\right){x}-10w+23$.
13
237.4-c1:
0.056027390472150659687188725235199167
comment: LMFDB curve 2.2.13.1-237.4-c1 has conductor ideal $(w-16)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(4w+4\right){x}+10w+13$.
13
237.4-c2:
0.11205478094430131937437745047039833
comment: LMFDB curve 2.2.13.1-237.4-c2 has conductor ideal $(w-16)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-w-1\right){x}$.
13
243.1-a1:
0.013834041403322290433661242324785594
comment: LMFDB curve 2.2.13.1-243.1-a1 has conductor ideal $(-9w)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(-9w-12\right){x}+20w+26$.
13
243.1-a2:
0.041502124209966871300983726974356783
comment: LMFDB curve 2.2.13.1-243.1-a2 has conductor ideal $(-9w)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(6w-9\right){x}-7w+17$.
13
243.1-c1:
0.15805590314402502938696935400759142
comment: LMFDB curve 2.2.13.1-243.1-c1 has conductor ideal $(-9w)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+9w-22$.
13
243.1-c2:
0.052685301048008343128989784669197140
comment: LMFDB curve 2.2.13.1-243.1-c2 has conductor ideal $(-9w)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}-2w+3$.
13
243.2-a1:
0.041502124209966871300983726974356783
comment: LMFDB curve 2.2.13.1-243.2-a1 has conductor ideal $(-9w+9)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(-6w-3\right){x}+6w+10$.
13
243.2-a2:
0.013834041403322290433661242324785594
comment: LMFDB curve 2.2.13.1-243.2-a2 has conductor ideal $(-9w+9)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(9w-21\right){x}-21w+46$.
13
243.2-c1:
0.15805590314402502938696935400759142
comment: LMFDB curve 2.2.13.1-243.2-c1 has conductor ideal $(-9w+9)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}-10w-13$.
13
243.2-c2:
0.052685301048008343128989784669197140
comment: LMFDB curve 2.2.13.1-243.2-c2 has conductor ideal $(-9w+9)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+w+1$.
13
243.5-b1:
0.34505504090987565497326252413234927
comment: LMFDB curve 2.2.13.1-243.5-b1 has conductor ideal $(2w-17)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(6w-19\right){x}-21w+27$.
13
243.5-b2:
0.11501834696995855165775417471078309
comment: LMFDB curve 2.2.13.1-243.5-b2 has conductor ideal $(2w-17)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w+1\right){x}$.
13
243.6-b1:
0.11501834696995855165775417471078309
comment: LMFDB curve 2.2.13.1-243.6-b1 has conductor ideal $(-2w-15)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+{x}-w-1$.
13
243.6-b2:
0.34505504090987565497326252413234927
comment: LMFDB curve 2.2.13.1-243.6-b2 has conductor ideal $(-2w-15)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-5w-14\right){x}+25w+20$.
13
244.1-d1:
0.019302636303597877804521265400184502
comment: LMFDB curve 2.2.13.1-244.1-d1 has conductor ideal $(-10w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-2w-32\right){x}-10w+51$.
13
244.1-e1:
1.3768075514554397854239404616651741
comment: LMFDB curve 2.2.13.1-244.1-e1 has conductor ideal $(-10w+14)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-10w-21\right){x}-19w-42$.
13
244.1-f1:
0.032879535766458412532918645378415618
comment: LMFDB curve 2.2.13.1-244.1-f1 has conductor ideal $(-10w+14)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-w-1\right){x}-13w-17$.
13
244.2-d1:
0.019302636303597877804521265400184502
comment: LMFDB curve 2.2.13.1-244.2-d1 has conductor ideal $(-10w-4)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(4w-38\right){x}-27w+87$.
13
244.2-e1:
1.3768075514554397854239404616651741
comment: LMFDB curve 2.2.13.1-244.2-e1 has conductor ideal $(-10w-4)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(10w-31\right){x}+19w-61$.
13
244.2-f1:
0.032879535766458412532918645378415618
comment: LMFDB curve 2.2.13.1-244.2-f1 has conductor ideal $(-10w-4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-w-1\right){x}+12w-29$.
17
17.1-a1:
6.0705123554606643216641072065434946
comment: LMFDB curve 2.2.17.1-17.1-a1 has conductor ideal $(-2w+1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(330w-936\right){x}+4996w-13110$.
17
17.1-a2:
0.75881404443258304020801340081793683
comment: LMFDB curve 2.2.17.1-17.1-a2 has conductor ideal $(-2w+1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-{x}-14$.
17
17.1-a3:
0.37940702221629152010400670040896841
comment: LMFDB curve 2.2.17.1-17.1-a3 has conductor ideal $(-2w+1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(6w+9\right){x}+4w+6$.
17
17.1-a4:
0.75881404443258304020801340081793683
comment: LMFDB curve 2.2.17.1-17.1-a4 has conductor ideal $(-2w+1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-{x}$.
17
17.1-a5:
1.5176280888651660804160268016358736
comment: LMFDB curve 2.2.17.1-17.1-a5 has conductor ideal $(-2w+1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-6{x}-4$.
17
17.1-a6:
0.37940702221629152010400670040896841
comment: LMFDB curve 2.2.17.1-17.1-a6 has conductor ideal $(-2w+1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-6w+15\right){x}-4w+10$.
17
17.1-a7:
3.0352561777303321608320536032717473
comment: LMFDB curve 2.2.17.1-17.1-a7 has conductor ideal $(-2w+1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-91{x}-310$.
17
17.1-a8:
6.0705123554606643216641072065434946
comment: LMFDB curve 2.2.17.1-17.1-a8 has conductor ideal $(-2w+1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-330w-606\right){x}-4996w-8114$.
17
38.2-a1:
0.085387436507748877571154453414499536
comment: LMFDB curve 2.2.17.1-38.2-a1 has conductor ideal $(-3w+2)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(3w-7\right){x}-2w+5$.
17
38.2-a2:
0.17077487301549775514230890682899907
comment: LMFDB curve 2.2.17.1-38.2-a2 has conductor ideal $(-3w+2)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(-4w-5\right){x}+w+1$.
17
38.2-a3:
0.34154974603099551028461781365799814
comment: LMFDB curve 2.2.17.1-38.2-a3 has conductor ideal $(-3w+2)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-5\right){x}+w-6$.
17
38.2-a4:
0.085387436507748877571154453414499536
comment: LMFDB curve 2.2.17.1-38.2-a4 has conductor ideal $(-3w+2)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(-49w-75\right){x}+243w+379$.
17
38.3-a1:
0.085387436507748877571154453414499536
comment: LMFDB curve 2.2.17.1-38.3-a1 has conductor ideal $(3w-1)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(48w-124\right){x}-244w+622$.
17
38.3-a2:
0.17077487301549775514230890682899907
comment: LMFDB curve 2.2.17.1-38.3-a2 has conductor ideal $(3w-1)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(3w-9\right){x}-2w+2$.
17
38.3-a3:
0.085387436507748877571154453414499536
comment: LMFDB curve 2.2.17.1-38.3-a3 has conductor ideal $(3w-1)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+w{x}^{2}+\left(-3w-4\right){x}+2w+3$.
17
38.3-a4:
0.34154974603099551028461781365799814
comment: LMFDB curve 2.2.17.1-38.3-a4 has conductor ideal $(3w-1)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-2w-3\right){x}-2w-4$.
17
47.1-a1:
0.047398169405353604132198011561955181
comment: LMFDB curve 2.2.17.1-47.1-a1 has conductor ideal $(-2w+9)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(w-1\right){x}^{2}+{x}$.
17
47.2-a1:
0.047398169405353604132198011561955181
comment: LMFDB curve 2.2.17.1-47.2-a1 has conductor ideal $(2w+7)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-w{x}^{2}+{x}$.
17
52.3-b1:
0.011548536804434145224328626608586774
comment: LMFDB curve 2.2.17.1-52.3-b1 has conductor ideal $(w+7)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(-16w-25\right){x}+50w+78$.
17
52.6-b1:
0.011548536804434145224328626608586774
comment: LMFDB curve 2.2.17.1-52.6-b1 has conductor ideal $(w-8)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(16w-41\right){x}-51w+129$.
17
64.6-b1:
0.98667016254192705904969578532367212
comment: LMFDB curve 2.2.17.1-64.6-b1 has conductor ideal $(5w-9)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}-w{x}^{2}+\left(-5w+13\right){x}$.
17
64.6-b2:
0.12333377031774088238121197316545901
comment: LMFDB curve 2.2.17.1-64.6-b2 has conductor ideal $(5w-9)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(68w-178\right){x}-469w+1200$.
17
64.6-b3:
0.24666754063548176476242394633091803
comment: LMFDB curve 2.2.17.1-64.6-b3 has conductor ideal $(5w-9)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(3w-13\right){x}-9w+20$.
17
64.6-b4:
0.49333508127096352952484789266183606
comment: LMFDB curve 2.2.17.1-64.6-b4 has conductor ideal $(5w-9)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-5w-8\right){x}-16w-25$.
17
64.6-b5:
0.12333377031774088238121197316545901
comment: LMFDB curve 2.2.17.1-64.6-b5 has conductor ideal $(5w-9)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(13w-30\right){x}-534w+1369$.
17
64.6-b6:
0.98667016254192705904969578532367212
comment: LMFDB curve 2.2.17.1-64.6-b6 has conductor ideal $(5w-9)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-90w-143\right){x}-779w-1218$.
17
64.7-b1:
0.12333377031774088238121197316545901
comment: LMFDB curve 2.2.17.1-64.7-b1 has conductor ideal $(5w+4)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-13w-17\right){x}+534w+835$.
17
64.7-b2:
0.98667016254192705904969578532367212
comment: LMFDB curve 2.2.17.1-64.7-b2 has conductor ideal $(5w+4)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(5w+8\right){x}$.
17
64.7-b3:
0.49333508127096352952484789266183606
comment: LMFDB curve 2.2.17.1-64.7-b3 has conductor ideal $(5w+4)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(5w-13\right){x}+16w-41$.
17
64.7-b4:
0.24666754063548176476242394633091803
comment: LMFDB curve 2.2.17.1-64.7-b4 has conductor ideal $(5w+4)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-5w-8\right){x}+8w+12$.
17
64.7-b5:
0.98667016254192705904969578532367212
comment: LMFDB curve 2.2.17.1-64.7-b5 has conductor ideal $(5w+4)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(90w-233\right){x}+779w-1997$.
17
64.7-b6:
0.12333377031774088238121197316545901
comment: LMFDB curve 2.2.17.1-64.7-b6 has conductor ideal $(5w+4)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-70w-108\right){x}+468w+732$.
17
72.3-a1:
0.0059689722224470353641297937113504882
comment: LMFDB curve 2.2.17.1-72.3-a1 has conductor ideal $(-3w-9)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(29w-74\right){x}-116w+294$.
17
72.4-a1:
0.0059689722224470353641297937113504882
comment: LMFDB curve 2.2.17.1-72.4-a1 has conductor ideal $(3w-12)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+{x}^{2}+\left(-29w-45\right){x}+115w+179$.
17
86.1-b1:
0.72344301213004071974441935933259329
comment: LMFDB curve 2.2.17.1-86.1-b1 has conductor ideal $(w+9)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-21w-33\right){x}-103w-161$.
17
86.1-b2:
0.72344301213004071974441935933259329
comment: LMFDB curve 2.2.17.1-86.1-b2 has conductor ideal $(w+9)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-67w-104\right){x}-372w-581$.
17
86.1-b3:
1.4468860242600814394888387186651865
comment: LMFDB curve 2.2.17.1-86.1-b3 has conductor ideal $(w+9)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(2w-14\right){x}-7w+3$.
17
86.1-b4:
2.8937720485201628789776774373303731
comment: LMFDB curve 2.2.17.1-86.1-b4 has conductor ideal $(w+9)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(27w-219\right){x}-556w+652$.
17
86.1-c1:
0.014120667830653304430297457490824996
comment: LMFDB curve 2.2.17.1-86.1-c1 has conductor ideal $(w+9)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(w-7\right){x}-2w+2$.
17
86.4-b1:
0.72344301213004071974441935933259329
comment: LMFDB curve 2.2.17.1-86.4-b1 has conductor ideal $(w-10)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(21w-54\right){x}+103w-264$.
17
86.4-b2:
1.4468860242600814394888387186651865
comment: LMFDB curve 2.2.17.1-86.4-b2 has conductor ideal $(w-10)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-2w-12\right){x}+7w-4$.
17
86.4-b3:
0.72344301213004071974441935933259329
comment: LMFDB curve 2.2.17.1-86.4-b3 has conductor ideal $(w-10)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(66w-170\right){x}+371w-952$.
17
86.4-b4:
2.8937720485201628789776774373303731
comment: LMFDB curve 2.2.17.1-86.4-b4 has conductor ideal $(w-10)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-27w-192\right){x}+556w+96$.
17
86.4-c1:
0.014120667830653304430297457490824996
comment: LMFDB curve 2.2.17.1-86.4-c1 has conductor ideal $(w-10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}-{x}^{2}+\left(-3w-5\right){x}+w+1$.
17
89.1-a1:
0.052672134825058185456981856926795517
comment: LMFDB curve 2.2.17.1-89.1-a1 has conductor ideal $(-6w+11)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(3w+5\right){x}+4w+6$.
17
89.2-a1:
0.052672134825058185456981856926795517
comment: LMFDB curve 2.2.17.1-89.2-a1 has conductor ideal $(6w+5)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(w+2\right){x}-w+5$.
17
94.2-a1:
0.24950422700951648350574602229689969
comment: LMFDB curve 2.2.17.1-94.2-a1 has conductor ideal $(-3w+13)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(6w+10\right){x}+25w+39$.
17
94.2-a2:
0.99801690803806593402298408918759880
comment: LMFDB curve 2.2.17.1-94.2-a2 has conductor ideal $(-3w+13)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(475w-1220\right){x}-8169w+20911$.
17
94.2-a3:
0.49900845401903296701149204459379938
comment: LMFDB curve 2.2.17.1-94.2-a3 has conductor ideal $(-3w+13)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(30w-75\right){x}-130w+332$.
17
94.2-a4:
0.24950422700951648350574602229689969
comment: LMFDB curve 2.2.17.1-94.2-a4 has conductor ideal $(-3w+13)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-174w-271\right){x}+1992w+3110$.
17
94.3-a1:
0.24950422700951648350574602229689969
comment: LMFDB curve 2.2.17.1-94.3-a1 has conductor ideal $(3w+10)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-7w+17\right){x}-26w+65$.
17
94.3-a2:
0.24950422700951648350574602229689969
comment: LMFDB curve 2.2.17.1-94.3-a2 has conductor ideal $(3w+10)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(175w-445\right){x}-1818w+4657$.
17
94.3-a3:
0.49900845401903296701149204459379938
comment: LMFDB curve 2.2.17.1-94.3-a3 has conductor ideal $(3w+10)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-29w-46\right){x}+159w+248$.
17
94.3-a4:
0.99801690803806593402298408918759873
comment: LMFDB curve 2.2.17.1-94.3-a4 has conductor ideal $(3w+10)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-474w-746\right){x}+8643w+13488$.
17
98.1-c1:
0.65615796993633547922811680851206996
comment: LMFDB curve 2.2.17.1-98.1-c1 has conductor ideal $(-7w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-3w+6\right){x}-4w+10$.
17
98.1-c2:
0.21871932331211182640937226950402332
comment: LMFDB curve 2.2.17.1-98.1-c2 has conductor ideal $(-7w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-w{x}^{2}+\left(22w-59\right){x}+141w-362$.
17
98.1-e1:
0.24453480948997517589728649502976047
comment: LMFDB curve 2.2.17.1-98.1-e1 has conductor ideal $(-7w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-8w-13\right){x}+w+1$.
17
98.1-e2:
1.2226740474498758794864324751488023
comment: LMFDB curve 2.2.17.1-98.1-e2 has conductor ideal $(-7w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-2258w-3533\right){x}-86323w-134807$.
17
98.2-c1:
0.21871932331211182640937226950402332
comment: LMFDB curve 2.2.17.1-98.2-c1 has conductor ideal $(-7w-7)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-23w-36\right){x}-141w-221$.
17
98.2-c2:
0.65615796993633547922811680851206996
comment: LMFDB curve 2.2.17.1-98.2-c2 has conductor ideal $(-7w-7)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(2w+4\right){x}+4w+6$.
17
98.2-e1:
1.2226740474498758794864324751488023
comment: LMFDB curve 2.2.17.1-98.2-e1 has conductor ideal $(-7w-7)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(2256w-5790\right){x}+86322w-221130$.
17
98.2-e2:
0.24453480948997517589728649502976047
comment: LMFDB curve 2.2.17.1-98.2-e2 has conductor ideal $(-7w-7)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(6w-20\right){x}-2w+2$.
17
100.2-a1:
0.058051683613118090213590943624322131
comment: LMFDB curve 2.2.17.1-100.2-a1 has conductor ideal $(5w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(4w-9\right){x}-4w+10$.
17
100.2-a2:
0.11610336722623618042718188724864426
comment: LMFDB curve 2.2.17.1-100.2-a2 has conductor ideal $(5w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-8w-12\right){x}+23w+36$.
17
100.3-a1:
0.11610336722623618042718188724864426
comment: LMFDB curve 2.2.17.1-100.3-a1 has conductor ideal $(5w-5)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(8w-21\right){x}-15w+38$.
17
100.3-a2:
0.058051683613118090213590943624322131
comment: LMFDB curve 2.2.17.1-100.3-a2 has conductor ideal $(5w-5)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-4w-6\right){x}$.
17
103.1-a1:
0.093130118650074257720705862803560888
comment: LMFDB curve 2.2.17.1-103.1-a1 has conductor ideal $(-8w-9)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-19w-30\right){x}+50w+78$.
17
103.2-a1:
0.093130118650074257720705862803560888
comment: LMFDB curve 2.2.17.1-103.2-a1 has conductor ideal $(8w-17)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(17w-48\right){x}-51w+129$.
17
104.6-b1:
0.057060431454544610384596237739037119
comment: LMFDB curve 2.2.17.1-104.6-b1 has conductor ideal $(-5w-12)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+4{x}-3$.
17
104.6-d1:
0.013755273582107593935042195007553527
comment: LMFDB curve 2.2.17.1-104.6-d1 has conductor ideal $(-5w-12)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+{x}^{2}-w+1$.
17
104.7-b1:
0.057060431454544610384596237739037119
comment: LMFDB curve 2.2.17.1-104.7-b1 has conductor ideal $(5w-17)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(2w+3\right){x}$.
17
104.7-d1:
0.013755273582107593935042195007553527
comment: LMFDB curve 2.2.17.1-104.7-d1 has conductor ideal $(5w-17)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+{x}^{2}$.
17
106.2-b1:
0.14882508914552930270183774827268629
comment: LMFDB curve 2.2.17.1-106.2-b1 has conductor ideal $(5w-2)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(137w-346\right){x}+1222w-3128$.
17
106.2-b2:
0.14882508914552930270183774827268629
comment: LMFDB curve 2.2.17.1-106.2-b2 has conductor ideal $(5w-2)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}-2{x}$.
17
106.2-b3:
0.29765017829105860540367549654537259
comment: LMFDB curve 2.2.17.1-106.2-b3 has conductor ideal $(5w-2)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(12w-26\right){x}+7w-16$.
17
106.2-b4:
0.59530035658211721080735099309074519
comment: LMFDB curve 2.2.17.1-106.2-b4 has conductor ideal $(5w-2)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-10w-15\right){x}+39w+61$.
17
106.3-b1:
0.59530035658211721080735099309074519
comment: LMFDB curve 2.2.17.1-106.3-b1 has conductor ideal $(5w-3)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(12w-26\right){x}-28w+74$.
17
106.3-b2:
0.29765017829105860540367549654537259
comment: LMFDB curve 2.2.17.1-106.3-b2 has conductor ideal $(5w-3)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-10w-16\right){x}+4w+6$.
17
106.3-b3:
0.14882508914552930270183774827268629
comment: LMFDB curve 2.2.17.1-106.3-b3 has conductor ideal $(5w-3)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}-2{x}$.
17
106.3-b4:
0.14882508914552930270183774827268629
comment: LMFDB curve 2.2.17.1-106.3-b4 has conductor ideal $(5w-3)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-135w-211\right){x}-1086w-1696$.
17
118.1-a1:
0.14768513657203510813111457539891503
comment: LMFDB curve 2.2.17.1-118.1-a1 has conductor ideal $(-7w+13)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+{x}-w$.
17
118.1-a2:
0.073842568286017554065557287699457515
comment: LMFDB curve 2.2.17.1-118.1-a2 has conductor ideal $(-7w+13)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-16w-23\right){x}-33w-52$.
17
118.1-b1:
0.15310070627911144563673905600323683
comment: LMFDB curve 2.2.17.1-118.1-b1 has conductor ideal $(-7w+13)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-w-2\right){x}+4w+6$.
17
118.1-b2:
0.076550353139555722818369528001618416
comment: LMFDB curve 2.2.17.1-118.1-b2 has conductor ideal $(-7w+13)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-w{x}^{2}+\left(w-2\right){x}+1$.
17
118.4-a1:
0.14768513657203510813111457539891503
comment: LMFDB curve 2.2.17.1-118.4-a1 has conductor ideal $(7w+6)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-w+1\right){x}-1$.
17
118.4-a2:
0.073842568286017554065557287699457515
comment: LMFDB curve 2.2.17.1-118.4-a2 has conductor ideal $(7w+6)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(15w-38\right){x}+32w-84$.
17
118.4-b1:
0.15310070627911144563673905600323683
comment: LMFDB curve 2.2.17.1-118.4-b1 has conductor ideal $(7w+6)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(3w-4\right){x}-6w+14$.
17
118.4-b2:
0.076550353139555722818369528001618416
comment: LMFDB curve 2.2.17.1-118.4-b2 has conductor ideal $(7w+6)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-w-1\right){x}+1$.
17
121.1-a1:
16.701702614164457728603193586961682
comment: LMFDB curve 2.2.17.1-121.1-a1 has conductor ideal $(11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}-7820{x}-263580$.
17
121.1-a2:
3.3403405228328915457206387173923364
comment: LMFDB curve 2.2.17.1-121.1-a2 has conductor ideal $(11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}-10{x}-20$.
17
121.1-a3:
0.66806810456657830914412774347846728
comment: LMFDB curve 2.2.17.1-121.1-a3 has conductor ideal $(11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}$.
17
128.1-c1:
0.29057548914065353455243066220591903
comment: LMFDB curve 2.2.17.1-128.1-c1 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(9w-23\right){x}-21w+54$.
17
128.1-c2:
2.3246039131252282764194452976473523
comment: LMFDB curve 2.2.17.1-128.1-c2 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(192w-491\right){x}+2076w-5318$.
17
128.1-c3:
1.1623019565626141382097226488236761
comment: LMFDB curve 2.2.17.1-128.1-c3 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(12w-31\right){x}+32w-82$.
17
128.1-c4:
0.58115097828130706910486132441183807
comment: LMFDB curve 2.2.17.1-128.1-c4 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-12w-19\right){x}+32w+50$.
17
128.1-c5:
2.3246039131252282764194452976473523
comment: LMFDB curve 2.2.17.1-128.1-c5 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-9w-14\right){x}-21w-33$.
17
128.1-c6:
1.1623019565626141382097226488236761
comment: LMFDB curve 2.2.17.1-128.1-c6 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-192w-299\right){x}+2076w+3242$.
17
128.2-c1:
2.3246039131252282764194452976473523
comment: LMFDB curve 2.2.17.1-128.2-c1 has conductor ideal $(-8w-8)$, rank $1$, and equation ${y}^2={x}^{3}+\left(9w-23\right){x}+21w-54$.
17
128.2-c2:
1.1623019565626141382097226488236761
comment: LMFDB curve 2.2.17.1-128.2-c2 has conductor ideal $(-8w-8)$, rank $1$, and equation ${y}^2={x}^{3}+\left(192w-491\right){x}-2076w+5318$.
17
128.2-c3:
0.58115097828130706910486132441183807
comment: LMFDB curve 2.2.17.1-128.2-c3 has conductor ideal $(-8w-8)$, rank $1$, and equation ${y}^2={x}^{3}+\left(12w-31\right){x}-32w+82$.
17
128.2-c4:
1.1623019565626141382097226488236761
comment: LMFDB curve 2.2.17.1-128.2-c4 has conductor ideal $(-8w-8)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-12w-19\right){x}-32w-50$.
17
128.2-c5:
0.29057548914065353455243066220591903
comment: LMFDB curve 2.2.17.1-128.2-c5 has conductor ideal $(-8w-8)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-9w-14\right){x}+21w+33$.
17
128.2-c6:
2.3246039131252282764194452976473523
comment: LMFDB curve 2.2.17.1-128.2-c6 has conductor ideal $(-8w-8)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-192w-299\right){x}-2076w-3242$.
17
128.3-b1:
0.043991893138094952313179248957391964
comment: LMFDB curve 2.2.17.1-128.3-b1 has conductor ideal $(-4w-12)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w-1\right){x}^{2}+\left(-7w-9\right){x}+22w+34$.
17
128.3-b2:
0.087983786276189904626358497914783928
comment: LMFDB curve 2.2.17.1-128.3-b2 has conductor ideal $(-4w-12)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-w+1\right){x}^{2}-w{x}+4$.
17
128.4-b1:
0.087983786276189904626358497914783928
comment: LMFDB curve 2.2.17.1-128.4-b1 has conductor ideal $(4w-16)$, rank $1$, and equation ${y}^2={x}^{3}+w{x}^{2}+\left(w-1\right){x}+4$.
17
128.4-b2:
0.043991893138094952313179248957391964
comment: LMFDB curve 2.2.17.1-128.4-b2 has conductor ideal $(4w-16)$, rank $1$, and equation ${y}^2={x}^{3}-w{x}^{2}+\left(7w-16\right){x}-22w+56$.
17
128.5-d1:
0.081969010987040201418403844284052964
comment: LMFDB curve 2.2.17.1-128.5-d1 has conductor ideal $(-6w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}-{x}^{2}+\left(w-1\right){x}-197w+505$.
17
128.5-d2:
0.32787604394816080567361537713621185
comment: LMFDB curve 2.2.17.1-128.5-d2 has conductor ideal $(-6w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-85w-133\right){x}-137w-214$.
17
128.5-d3:
0.16393802197408040283680768856810592
comment: LMFDB curve 2.2.17.1-128.5-d3 has conductor ideal $(-6w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-3w-7\right){x}+w+2$.
17
128.5-d4:
0.32787604394816080567361537713621185
comment: LMFDB curve 2.2.17.1-128.5-d4 has conductor ideal $(-6w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-33w-57\right){x}+141w+214$.
17
128.6-d1:
0.081969010987040201418403844284052964
comment: LMFDB curve 2.2.17.1-128.6-d1 has conductor ideal $(-6w+8)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-w{x}^{2}-w{x}+197w+308$.
17
128.6-d2:
0.32787604394816080567361537713621185
comment: LMFDB curve 2.2.17.1-128.6-d2 has conductor ideal $(-6w+8)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(31w-88\right){x}-142w+356$.
17
128.6-d3:
0.16393802197408040283680768856810592
comment: LMFDB curve 2.2.17.1-128.6-d3 has conductor ideal $(-6w+8)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-8\right){x}-2w+4$.
17
128.6-d4:
0.32787604394816080567361537713621185
comment: LMFDB curve 2.2.17.1-128.6-d4 has conductor ideal $(-6w+8)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(83w-216\right){x}+136w-350$.
17
136.1-b1:
1.0591789853381559717428550610767420
comment: LMFDB curve 2.2.17.1-136.1-b1 has conductor ideal $(6w-20)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-104w-164\right){x}-2399w-3747$.
17
136.1-b2:
0.35305966177938532391428502035891401
comment: LMFDB curve 2.2.17.1-136.1-b2 has conductor ideal $(6w-20)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(11w+16\right){x}+83w+129$.
17
136.1-b3:
0.70611932355877064782857004071782803
comment: LMFDB curve 2.2.17.1-136.1-b3 has conductor ideal $(6w-20)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+w{x}$.
17
136.1-b4:
2.1183579706763119434857101221534841
comment: LMFDB curve 2.2.17.1-136.1-b4 has conductor ideal $(6w-20)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-14w-20\right){x}-66w-120$.
17
136.2-b1:
0.70611932355877064782857004071782803
comment: LMFDB curve 2.2.17.1-136.2-b1 has conductor ideal $(6w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(2w+2\right){x}+4$.
17
136.2-b2:
2.1183579706763119434857101221534841
comment: LMFDB curve 2.2.17.1-136.2-b2 has conductor ideal $(6w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(17w-33\right){x}+31w-87$.
17
136.2-b3:
1.0591789853381559717428550610767420
comment: LMFDB curve 2.2.17.1-136.2-b3 has conductor ideal $(6w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(102w-268\right){x}+2398w-6146$.
17
136.2-b4:
0.35305966177938532391428502035891401
comment: LMFDB curve 2.2.17.1-136.2-b4 has conductor ideal $(6w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-13w+27\right){x}-84w+212$.
17
144.2-c1:
0.21025809258983419936909339863179263
comment: LMFDB curve 2.2.17.1-144.2-c1 has conductor ideal $(6w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-{x}^{2}+\left(11w-28\right){x}+25w-64$.
17
144.2-c2:
0.21025809258983419936909339863179263
comment: LMFDB curve 2.2.17.1-144.2-c2 has conductor ideal $(6w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+{x}^{2}+\left(-12w+33\right){x}-63w+162$.
17
144.2-c3:
0.10512904629491709968454669931589631
comment: LMFDB curve 2.2.17.1-144.2-c3 has conductor ideal $(6w)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-2w-4\right){x}$.
17
144.2-c4:
0.21025809258983419936909339863179263
comment: LMFDB curve 2.2.17.1-144.2-c4 has conductor ideal $(6w)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-32w-64\right){x}+120w+216$.
17
144.3-c1:
0.21025809258983419936909339863179263
comment: LMFDB curve 2.2.17.1-144.3-c1 has conductor ideal $(6w-6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(12w+21\right){x}+63w+99$.
17
144.3-c2:
0.10512904629491709968454669931589631
comment: LMFDB curve 2.2.17.1-144.3-c2 has conductor ideal $(6w-6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(3w-4\right){x}-3w+10$.
17
144.3-c3:
0.21025809258983419936909339863179263
comment: LMFDB curve 2.2.17.1-144.3-c3 has conductor ideal $(6w-6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-11w-17\right){x}-25w-39$.
17
144.3-c4:
0.21025809258983419936909339863179263
comment: LMFDB curve 2.2.17.1-144.3-c4 has conductor ideal $(6w-6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(33w-94\right){x}-183w+466$.
17
144.4-d1:
0.91766824763939585282530251741944924
comment: LMFDB curve 2.2.17.1-144.4-d1 has conductor ideal $(3w+12)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(741w-1903\right){x}-16047w+41078$.
17
144.4-d2:
1.8353364952787917056506050348388984
comment: LMFDB curve 2.2.17.1-144.4-d2 has conductor ideal $(3w+12)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-{x}^{2}+\left(6w+8\right){x}-33w-52$.
17
144.4-d3:
0.45883412381969792641265125870972462
comment: LMFDB curve 2.2.17.1-144.4-d3 has conductor ideal $(3w+12)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+{x}^{2}+\left(-6w-8\right){x}+5w+8$.
17
144.4-d4:
0.91766824763939585282530251741944924
comment: LMFDB curve 2.2.17.1-144.4-d4 has conductor ideal $(3w+12)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(11w-23\right){x}+17w-42$.
17
144.4-d5:
1.8353364952787917056506050348388984
comment: LMFDB curve 2.2.17.1-144.4-d5 has conductor ideal $(3w+12)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(46w-123\right){x}-258w+634$.
17
144.4-d6:
3.6706729905575834113012100696777969
comment: LMFDB curve 2.2.17.1-144.4-d6 has conductor ideal $(3w+12)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(-89w+57\right){x}-1329w+2254$.
17
144.4-e1:
0.035029694806980142664984279154044317
comment: LMFDB curve 2.2.17.1-144.4-e1 has conductor ideal $(3w+12)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}-w{x}^{2}+\left(4w-8\right){x}-4w+8$.
17
144.5-d1:
3.6706729905575834113012100696777969
comment: LMFDB curve 2.2.17.1-144.5-d1 has conductor ideal $(-3w+15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(94w-30\right){x}+1387w+1289$.
17
144.5-d2:
0.45883412381969792641265125870972462
comment: LMFDB curve 2.2.17.1-144.5-d2 has conductor ideal $(-3w+15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(6w-14\right){x}-5w+13$.
17
144.5-d3:
0.91766824763939585282530251741944924
comment: LMFDB curve 2.2.17.1-144.5-d3 has conductor ideal $(-3w+15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-6w-10\right){x}-39w-61$.
17
144.5-d4:
1.8353364952787917056506050348388984
comment: LMFDB curve 2.2.17.1-144.5-d4 has conductor ideal $(-3w+15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-41w-75\right){x}+136w+200$.
17
144.5-d5:
1.8353364952787917056506050348388984
comment: LMFDB curve 2.2.17.1-144.5-d5 has conductor ideal $(-3w+15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-6w+14\right){x}+33w-85$.
17
144.5-d6:
0.91766824763939585282530251741944924
comment: LMFDB curve 2.2.17.1-144.5-d6 has conductor ideal $(-3w+15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-736w-1160\right){x}+14145w+22075$.
17
144.5-e1:
0.035029694806980142664984279154044317
comment: LMFDB curve 2.2.17.1-144.5-e1 has conductor ideal $(-3w+15)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-4w-4\right){x}+3w+4$.
17
152.6-b1:
4.1286029209145551790395812198897856
comment: LMFDB curve 2.2.17.1-152.6-b1 has conductor ideal $(7w+4)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-30w-24\right){x}-153w-232$.
17
152.6-b2:
2.0643014604572775895197906099448928
comment: LMFDB curve 2.2.17.1-152.6-b2 has conductor ideal $(7w+4)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(25w-44\right){x}-90w+212$.
17
152.6-b3:
1.0321507302286387947598953049724464
comment: LMFDB curve 2.2.17.1-152.6-b3 has conductor ideal $(7w+4)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}-4{x}-5w$.
17
152.6-b4:
0.51607536511431939737994765248622320
comment: LMFDB curve 2.2.17.1-152.6-b4 has conductor ideal $(7w+4)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+{x}$.
17
152.6-b5:
2.0643014604572775895197906099448928
comment: LMFDB curve 2.2.17.1-152.6-b5 has conductor ideal $(7w+4)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-25w-44\right){x}-140w-212$.
17
152.6-b6:
4.1286029209145551790395812198897856
comment: LMFDB curve 2.2.17.1-152.6-b6 has conductor ideal $(7w+4)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-420w-704\right){x}-7467w-11760$.
17
152.6-d1:
0.14535911386839802820891690791503344
comment: LMFDB curve 2.2.17.1-152.6-d1 has conductor ideal $(7w+4)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(2w+2\right){x}+w+1$.
17
152.6-d2:
0.29071822773679605641783381583006688
comment: LMFDB curve 2.2.17.1-152.6-d2 has conductor ideal $(7w+4)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(-2w+4\right){x}-2w+4$.
17
152.7-b1:
0.51607536511431939737994765248622320
comment: LMFDB curve 2.2.17.1-152.7-b1 has conductor ideal $(7w-11)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+w{x}^{2}+\left(3w+3\right){x}+w+4$.
17
152.7-b2:
4.1286029209145551790395812198897856
comment: LMFDB curve 2.2.17.1-152.7-b2 has conductor ideal $(7w-11)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+w{x}^{2}+\left(33w-52\right){x}+129w-261$.
17
152.7-b3:
2.0643014604572775895197906099448928
comment: LMFDB curve 2.2.17.1-152.7-b3 has conductor ideal $(7w-11)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+w{x}^{2}+\left(28w-67\right){x}+96w-248$.
17
152.7-b4:
4.1286029209145551790395812198897856
comment: LMFDB curve 2.2.17.1-152.7-b4 has conductor ideal $(7w-11)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+w{x}^{2}+\left(423w-1122\right){x}+6763w-17543$.
17
152.7-b5:
1.0321507302286387947598953049724464
comment: LMFDB curve 2.2.17.1-152.7-b5 has conductor ideal $(7w-11)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+w{x}^{2}+\left(3w-2\right){x}+w-1$.
17
152.7-b6:
2.0643014604572775895197906099448928
comment: LMFDB curve 2.2.17.1-152.7-b6 has conductor ideal $(7w-11)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+w{x}^{2}+\left(-22w-17\right){x}+46w+26$.
17
152.7-d1:
0.29071822773679605641783381583006688
comment: LMFDB curve 2.2.17.1-152.7-d1 has conductor ideal $(7w-11)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+2{x}+w+2$.
17
152.7-d2:
0.14535911386839802820891690791503344
comment: LMFDB curve 2.2.17.1-152.7-d2 has conductor ideal $(7w-11)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w+6\right){x}+3w$.
17
153.1-a1:
2.0359134698081248455148484168076720
comment: LMFDB curve 2.2.17.1-153.1-a1 has conductor ideal $(-6w+3)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+{x}^{2}-59{x}-196$.
17
153.1-a2:
0.67863782326937494850494947226922403
comment: LMFDB curve 2.2.17.1-153.1-a2 has conductor ideal $(-6w+3)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+{x}^{2}+{x}-1$.
17
166.1-a1:
0.12427333595860979533756237530136409
comment: LMFDB curve 2.2.17.1-166.1-a1 has conductor ideal $(-5w-14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+{x}^{2}+\left(-3w-6\right){x}+w$.
17
166.1-b1:
0.014703339564365443654109125912258904
comment: LMFDB curve 2.2.17.1-166.1-b1 has conductor ideal $(-5w-14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(w-7\right){x}-w+1$.
17
166.2-a1:
0.043353489970109569726495280085269682
comment: LMFDB curve 2.2.17.1-166.2-a1 has conductor ideal $(-7w+10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}-2w{x}+1$.
17
166.3-a1:
0.043353489970109569726495280085269682
comment: LMFDB curve 2.2.17.1-166.3-a1 has conductor ideal $(-7w-3)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+{x}^{2}+\left(w-1\right){x}+1$.
17
166.4-a1:
0.12427333595860979533756237530136409
comment: LMFDB curve 2.2.17.1-166.4-a1 has conductor ideal $(5w-19)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(3w-9\right){x}-4w+10$.
17
166.4-b1:
0.014703339564365443654109125912258904
comment: LMFDB curve 2.2.17.1-166.4-b1 has conductor ideal $(5w-19)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-3w-5\right){x}$.
17
172.1-d1:
0.46225749325887016734607388829863712
comment: LMFDB curve 2.2.17.1-172.1-d1 has conductor ideal $(-8w+14)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(4w-10\right){x}+5w-16$.
17
172.1-d2:
0.23112874662943508367303694414931856
comment: LMFDB curve 2.2.17.1-172.1-d2 has conductor ideal $(-8w+14)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(46w-119\right){x}+152w-391$.
17
172.1-d3:
0.11556437331471754183651847207465928
comment: LMFDB curve 2.2.17.1-172.1-d3 has conductor ideal $(-8w+14)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(-2w-5\right){x}+2w+5$.
17
172.1-d4:
0.46225749325887016734607388829863712
comment: LMFDB curve 2.2.17.1-172.1-d4 has conductor ideal $(-8w+14)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(-134w+341\right){x}+1156w-2963$.
17
172.2-d1:
0.46225749325887016734607388829863712
comment: LMFDB curve 2.2.17.1-172.2-d1 has conductor ideal $(8w+6)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(133w+207\right){x}-1157w-1807$.
17
172.2-d2:
0.23112874662943508367303694414931856
comment: LMFDB curve 2.2.17.1-172.2-d2 has conductor ideal $(8w+6)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-47w-73\right){x}-153w-239$.
17
172.2-d3:
0.11556437331471754183651847207465928
comment: LMFDB curve 2.2.17.1-172.2-d3 has conductor ideal $(8w+6)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(w-7\right){x}-3w+7$.
17
172.2-d4:
0.46225749325887016734607388829863712
comment: LMFDB curve 2.2.17.1-172.2-d4 has conductor ideal $(8w+6)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-5w-6\right){x}-6w-11$.
17
172.3-a1:
0.079595554829183762040428476941308887
comment: LMFDB curve 2.2.17.1-172.3-a1 has conductor ideal $(-3w+16)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+3{x}+2w+4$.
17
172.3-a2:
0.15919110965836752408085695388261777
comment: LMFDB curve 2.2.17.1-172.3-a2 has conductor ideal $(-3w+16)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(3w-11\right){x}+8w-22$.
17
172.6-a1:
0.079595554829183762040428476941308887
comment: LMFDB curve 2.2.17.1-172.6-a1 has conductor ideal $(3w+13)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+3{x}-2w+6$.
17
172.6-a2:
0.15919110965836752408085695388261777
comment: LMFDB curve 2.2.17.1-172.6-a2 has conductor ideal $(3w+13)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-5w-8\right){x}-9w-14$.
17
178.2-b1:
0.44232266329172338704648935201718175
comment: LMFDB curve 2.2.17.1-178.2-b1 has conductor ideal $(7w-9)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-10w+19\right){x}+44w-117$.
17
178.2-b2:
1.3269679898751701611394680560515452
comment: LMFDB curve 2.2.17.1-178.2-b2 has conductor ideal $(7w-9)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(450w-1321\right){x}+8847w-23476$.
17
178.2-c1:
0.27584474815883226916939977948031562
comment: LMFDB curve 2.2.17.1-178.2-c1 has conductor ideal $(7w-9)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-21w-30\right){x}+57w+90$.
17
178.2-c2:
1.3792237407941613458469988974015781
comment: LMFDB curve 2.2.17.1-178.2-c2 has conductor ideal $(7w-9)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-323w+821\right){x}+74924w-191928$.
17
178.3-b1:
1.3269679898751701611394680560515452
comment: LMFDB curve 2.2.17.1-178.3-b1 has conductor ideal $(7w+2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-452w-870\right){x}-8848w-14628$.
17
178.3-b2:
0.44232266329172338704648935201718175
comment: LMFDB curve 2.2.17.1-178.3-b2 has conductor ideal $(7w+2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(8w+10\right){x}-45w-72$.
17
178.3-c1:
0.27584474815883226916939977948031562
comment: LMFDB curve 2.2.17.1-178.3-c1 has conductor ideal $(7w+2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(19w-50\right){x}-58w+148$.
17
178.3-c2:
1.3792237407941613458469988974015781
comment: LMFDB curve 2.2.17.1-178.3-c2 has conductor ideal $(7w+2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(321w+499\right){x}-74925w-117003$.
17
188.1-a1:
0.066210928718865134643451135682055304
comment: LMFDB curve 2.2.17.1-188.1-a1 has conductor ideal $(-4w+18)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(2w+4\right){x}-w-1$.
17
188.1-a2:
0.033105464359432567321725567841027652
comment: LMFDB curve 2.2.17.1-188.1-a2 has conductor ideal $(-4w+18)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(45w-111\right){x}-159w+409$.
17
188.2-a1:
0.066210928718865134643451135682055304
comment: LMFDB curve 2.2.17.1-188.2-a1 has conductor ideal $(4w+14)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+6{x}+4$.
17
188.2-a2:
0.033105464359432567321725567841027652
comment: LMFDB curve 2.2.17.1-188.2-a2 has conductor ideal $(4w+14)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-43w-67\right){x}+203w+317$.
17
188.4-a1:
0.39172162005388801087551462361513562
comment: LMFDB curve 2.2.17.1-188.4-a1 has conductor ideal $(-7w-1)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-2w-3\right){x}$.
17
188.4-a2:
1.1751648601616640326265438708454068
comment: LMFDB curve 2.2.17.1-188.4-a2 has conductor ideal $(-7w-1)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-112w-173\right){x}-885w-1383$.
17
188.5-a1:
0.39172162005388801087551462361513562
comment: LMFDB curve 2.2.17.1-188.5-a1 has conductor ideal $(7w-8)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}-{x}^{2}+\left(2w-5\right){x}-w+1$.
17
188.5-a2:
1.1751648601616640326265438708454068
comment: LMFDB curve 2.2.17.1-188.5-a2 has conductor ideal $(7w-8)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}-{x}^{2}+\left(112w-285\right){x}+884w-2267$.
17
196.1-b1:
5.5529718576939936891167358888025167
comment: LMFDB curve 2.2.17.1-196.1-b1 has conductor ideal $(14)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-171{x}-874$.
17
196.1-b2:
0.61699687307711040990185954320027963
comment: LMFDB curve 2.2.17.1-196.1-b2 has conductor ideal $(14)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}$.
17
196.1-b3:
1.8509906192313312297055786296008389
comment: LMFDB curve 2.2.17.1-196.1-b3 has conductor ideal $(14)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+4{x}-6$.
17
196.1-b4:
3.7019812384626624594111572592016778
comment: LMFDB curve 2.2.17.1-196.1-b4 has conductor ideal $(14)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-36{x}-70$.
17
196.1-b5:
1.2339937461542208198037190864005592
comment: LMFDB curve 2.2.17.1-196.1-b5 has conductor ideal $(14)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-11{x}+12$.
17
196.1-b6:
11.105943715387987378233471777605033
comment: LMFDB curve 2.2.17.1-196.1-b6 has conductor ideal $(14)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-2731{x}-55146$.
17
200.1-a1:
0.071317975604103683986314609346425054
comment: LMFDB curve 2.2.17.1-200.1-a1 has conductor ideal $(-10w+20)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(3w+3\right){x}-2w-2$.
17
200.1-a2:
0.14263595120820736797262921869285010
comment: LMFDB curve 2.2.17.1-200.1-a2 has conductor ideal $(-10w+20)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-{x}^{2}+\left(3w-8\right){x}-11w+28$.
17
200.2-a1:
0.14263595120820736797262921869285010
comment: LMFDB curve 2.2.17.1-200.2-a1 has conductor ideal $(-10w-10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-3w-5\right){x}+11w+17$.
17
200.2-a2:
0.071317975604103683986314609346425054
comment: LMFDB curve 2.2.17.1-200.2-a2 has conductor ideal $(-10w-10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-2w+8\right){x}+6w-14$.
17
200.3-b1:
1.0168425684321201037476611530704697
comment: LMFDB curve 2.2.17.1-200.3-b1 has conductor ideal $(-5w-15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(9w+14\right){x}+41w+64$.
17
200.3-b2:
0.50842128421606005187383057653523486
comment: LMFDB curve 2.2.17.1-200.3-b2 has conductor ideal $(-5w-15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}$.
17
200.3-b3:
0.25421064210803002593691528826761743
comment: LMFDB curve 2.2.17.1-200.3-b3 has conductor ideal $(-5w-15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-4w+4\right){x}-5w-7$.
17
200.3-b4:
0.25421064210803002593691528826761743
comment: LMFDB curve 2.2.17.1-200.3-b4 has conductor ideal $(-5w-15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(66w-174\right){x}+408w-1048$.
17
200.4-b1:
0.25421064210803002593691528826761743
comment: LMFDB curve 2.2.17.1-200.4-b1 has conductor ideal $(5w-20)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+4w{x}+5w-12$.
17
200.4-b2:
0.50842128421606005187383057653523486
comment: LMFDB curve 2.2.17.1-200.4-b2 has conductor ideal $(5w-20)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}-w{x}$.
17
200.4-b3:
0.25421064210803002593691528826761743
comment: LMFDB curve 2.2.17.1-200.4-b3 has conductor ideal $(5w-20)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-68w-106\right){x}-409w-639$.
17
200.4-b4:
1.0168425684321201037476611530704697
comment: LMFDB curve 2.2.17.1-200.4-b4 has conductor ideal $(5w-20)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-11w+25\right){x}-42w+106$.
17
202.1-a1:
0.23731933093018151878427240755421638
comment: LMFDB curve 2.2.17.1-202.1-a1 has conductor ideal $(-7w+6)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(4w+8\right){x}-w-2$.
17
202.4-a1:
0.23731933093018151878427240755421638
comment: LMFDB curve 2.2.17.1-202.4-a1 has conductor ideal $(7w-1)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-w{x}^{2}+\left(-4w+12\right){x}+w-3$.
17
206.1-b1:
0.37972586532969298016668201263277450
comment: LMFDB curve 2.2.17.1-206.1-b1 has conductor ideal $(w+14)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(58w-150\right){x}-345w+880$.
17
206.1-b2:
0.18986293266484649008334100631638725
comment: LMFDB curve 2.2.17.1-206.1-b2 has conductor ideal $(w+14)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(3w-10\right){x}-6w+12$.
17
206.4-b1:
0.18986293266484649008334100631638725
comment: LMFDB curve 2.2.17.1-206.4-b1 has conductor ideal $(w-15)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-4w-6\right){x}+5w+7$.
17
206.4-b2:
0.37972586532969298016668201263277450
comment: LMFDB curve 2.2.17.1-206.4-b2 has conductor ideal $(w-15)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-59w-91\right){x}+344w+536$.
17
208.1-b1:
0.076532418174251612009674296864329369
comment: LMFDB curve 2.2.17.1-208.1-b1 has conductor ideal $(-8w+12)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-19w-30\right){x}+72w+113$.
17
208.1-b2:
0.22959725452275483602902289059298810
comment: LMFDB curve 2.2.17.1-208.1-b2 has conductor ideal $(-8w+12)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(41w+70\right){x}+332w+509$.
17
208.10-b1:
0.17153135566745641219982093151887680
comment: LMFDB curve 2.2.17.1-208.10-b1 has conductor ideal $(11w-23)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(48w+75\right){x}+383w+598$.
17
208.10-b2:
0.34306271133491282439964186303775360
comment: LMFDB curve 2.2.17.1-208.10-b2 has conductor ideal $(11w-23)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}-2{x}-w$.
17
208.10-b3:
0.68612542266982564879928372607550720
comment: LMFDB curve 2.2.17.1-208.10-b3 has conductor ideal $(11w-23)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}-w{x}^{2}+\left(-42w-65\right){x}-210w-328$.
17
208.10-b4:
0.17153135566745641219982093151887680
comment: LMFDB curve 2.2.17.1-208.10-b4 has conductor ideal $(11w-23)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-15w-7\right){x}+17w+6$.
17
208.2-b1:
0.076532418174251612009674296864329369
comment: LMFDB curve 2.2.17.1-208.2-b1 has conductor ideal $(8w+4)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(19w-49\right){x}-72w+185$.
17
208.2-b2:
0.22959725452275483602902289059298810
comment: LMFDB curve 2.2.17.1-208.2-b2 has conductor ideal $(8w+4)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-41w+111\right){x}-332w+841$.
17
208.3-b1:
0.36596718068264365602395525666586993
comment: LMFDB curve 2.2.17.1-208.3-b1 has conductor ideal $(2w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(8w-25\right){x}+21w-56$.
17
208.3-b2:
0.36596718068264365602395525666586993
comment: LMFDB curve 2.2.17.1-208.3-b2 has conductor ideal $(2w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-6w+22\right){x}+12w-28$.
17
208.3-b3:
0.18298359034132182801197762833293496
comment: LMFDB curve 2.2.17.1-208.3-b3 has conductor ideal $(2w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-73w-114\right){x}+438w+684$.
17
208.3-b4:
0.36596718068264365602395525666586993
comment: LMFDB curve 2.2.17.1-208.3-b4 has conductor ideal $(2w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-1173w-1834\right){x}+30586w+47764$.
17
208.4-c1:
0.31141665001463177446100462059828635
comment: LMFDB curve 2.2.17.1-208.4-c1 has conductor ideal $(-6w-16)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(w+4\right){x}+2w+4$.
17
208.4-c2:
0.15570832500731588723050231029914317
comment: LMFDB curve 2.2.17.1-208.4-c2 has conductor ideal $(-6w-16)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(10w-20\right){x}+6w-12$.
17
208.4-c3:
0.31141665001463177446100462059828635
comment: LMFDB curve 2.2.17.1-208.4-c3 has conductor ideal $(-6w-16)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(80w-200\right){x}-538w+1380$.
17
208.4-c4:
0.31141665001463177446100462059828635
comment: LMFDB curve 2.2.17.1-208.4-c4 has conductor ideal $(-6w-16)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-4w-10\right){x}+5w+5$.
17
208.5-c1:
0.31141665001463177446100462059828635
comment: LMFDB curve 2.2.17.1-208.5-c1 has conductor ideal $(6w-22)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-3w+5\right){x}-3w+6$.
17
208.5-c2:
0.15570832500731588723050231029914317
comment: LMFDB curve 2.2.17.1-208.5-c2 has conductor ideal $(6w-22)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-7w-9\right){x}-17w-27$.
17
208.5-c3:
0.31141665001463177446100462059828635
comment: LMFDB curve 2.2.17.1-208.5-c3 has conductor ideal $(6w-22)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-77w-119\right){x}+417w+651$.
17
208.5-c4:
0.31141665001463177446100462059828635
comment: LMFDB curve 2.2.17.1-208.5-c4 has conductor ideal $(6w-22)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(2w-14\right){x}-6w+10$.
17
208.6-b1:
0.36596718068264365602395525666586993
comment: LMFDB curve 2.2.17.1-208.6-b1 has conductor ideal $(2w-16)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(9w+12\right){x}+8w+12$.
17
208.6-b2:
0.18298359034132182801197762833293496
comment: LMFDB curve 2.2.17.1-208.6-b2 has conductor ideal $(2w-16)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-w{x}^{2}+\left(73w-187\right){x}-438w+1122$.
17
208.6-b3:
0.36596718068264365602395525666586993
comment: LMFDB curve 2.2.17.1-208.6-b3 has conductor ideal $(2w-16)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-w{x}^{2}+\left(1173w-3007\right){x}-30586w+78350$.
17
208.6-b4:
0.36596718068264365602395525666586993
comment: LMFDB curve 2.2.17.1-208.6-b4 has conductor ideal $(2w-16)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-10w-15\right){x}-22w-34$.
17
208.7-b1:
0.17153135566745641219982093151887680
comment: LMFDB curve 2.2.17.1-208.7-b1 has conductor ideal $(-11w-12)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(17w-20\right){x}-24w+84$.
17
208.7-b2:
0.34306271133491282439964186303775360
comment: LMFDB curve 2.2.17.1-208.7-b2 has conductor ideal $(-11w-12)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+2w{x}-w$.
17
208.7-b3:
0.17153135566745641219982093151887680
comment: LMFDB curve 2.2.17.1-208.7-b3 has conductor ideal $(-11w-12)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-50w+125\right){x}-384w+982$.
17
208.7-b4:
0.68612542266982564879928372607550720
comment: LMFDB curve 2.2.17.1-208.7-b4 has conductor ideal $(-11w-12)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(42w-107\right){x}+210w-538$.
17
208.8-a1:
0.11865261853215257021809064473924490
comment: LMFDB curve 2.2.17.1-208.8-a1 has conductor ideal $(7w-3)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(4w-8\right){x}-8w+18$.
17
208.8-b1:
0.44444562998855950110466447779651097
comment: LMFDB curve 2.2.17.1-208.8-b1 has conductor ideal $(7w-3)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}-w{x}^{2}-18{x}+22w-8$.
17
208.8-b2:
0.14814854332951983370155482593217032
comment: LMFDB curve 2.2.17.1-208.8-b2 has conductor ideal $(7w-3)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}-w{x}^{2}+2{x}-w-1$.
17
208.9-a1:
0.11865261853215257021809064473924490
comment: LMFDB curve 2.2.17.1-208.9-a1 has conductor ideal $(7w-4)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-4w-4\right){x}+7w+11$.
17
208.9-b1:
0.44444562998855950110466447779651097
comment: LMFDB curve 2.2.17.1-208.9-b1 has conductor ideal $(7w-4)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(w-1\right){x}^{2}-18{x}-23w+15$.
17
208.9-b2:
0.14814854332951983370155482593217032
comment: LMFDB curve 2.2.17.1-208.9-b2 has conductor ideal $(7w-4)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(w-1\right){x}^{2}+2{x}-1$.
17
212.1-e1:
0.068125765556993670703196776238025542
comment: LMFDB curve 2.2.17.1-212.1-e1 has conductor ideal $(8w-26)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(w+2\right){x}+5w+8$.
17
212.1-e2:
0.034062882778496835351598388119012771
comment: LMFDB curve 2.2.17.1-212.1-e2 has conductor ideal $(8w-26)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(6w-15\right){x}-16w+41$.
17
212.2-e1:
0.068125765556993670703196776238025542
comment: LMFDB curve 2.2.17.1-212.2-e1 has conductor ideal $(8w+18)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w+2\right){x}-5w+15$.
17
212.2-e2:
0.034062882778496835351598388119012771
comment: LMFDB curve 2.2.17.1-212.2-e2 has conductor ideal $(8w+18)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-w{x}^{2}+\left(-6w-9\right){x}+16w+25$.
17
223.1-a1:
0.32364984090900263942035627067393851
comment: LMFDB curve 2.2.17.1-223.1-a1 has conductor ideal $(-8w-3)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+{x}^{2}+\left(-2w-3\right){x}-3w-5$.
17
223.2-a1:
0.32364984090900263942035627067393851
comment: LMFDB curve 2.2.17.1-223.2-a1 has conductor ideal $(-8w+11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+{x}^{2}+\left(2w-5\right){x}+3w-8$.
17
229.1-a1:
0.077583261395129924827128665286626459
comment: LMFDB curve 2.2.17.1-229.1-a1 has conductor ideal $(-10w+19)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-w+1\right){x}$.
17
229.2-a1:
0.077583261395129924827128665286626459
comment: LMFDB curve 2.2.17.1-229.2-a1 has conductor ideal $(10w+9)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}$.
17
234.1-d1:
0.26079408851159219569001283385715371
comment: LMFDB curve 2.2.17.1-234.1-d1 has conductor ideal $(3w+15)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-6w-8\right){x}+46w+71$.
17
234.1-d2:
0.065198522127898048922503208464288427
comment: LMFDB curve 2.2.17.1-234.1-d2 has conductor ideal $(3w+15)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-36w-56\right){x}+50w+78$.
17
234.1-d3:
0.13039704425579609784500641692857685
comment: LMFDB curve 2.2.17.1-234.1-d3 has conductor ideal $(3w+15)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(2w-6\right){x}-2w+2$.
17
234.1-d4:
0.26079408851159219569001283385715371
comment: LMFDB curve 2.2.17.1-234.1-d4 has conductor ideal $(3w+15)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-23w-1\right){x}+20w+60$.
17
234.2-a1:
0.42180598047307289968522635714207890
comment: LMFDB curve 2.2.17.1-234.2-a1 has conductor ideal $(-9w+15)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(49w+76\right){x}+264w+412$.
17
234.2-a2:
0.21090299023653644984261317857103945
comment: LMFDB curve 2.2.17.1-234.2-a2 has conductor ideal $(-9w+15)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-w{x}^{2}+\left(-w-2\right){x}+2w+3$.
17
234.2-a3:
0.42180598047307289968522635714207890
comment: LMFDB curve 2.2.17.1-234.2-a3 has conductor ideal $(-9w+15)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-7w+22\right){x}-26w+68$.
17
234.2-a4:
0.10545149511826822492130658928551972
comment: LMFDB curve 2.2.17.1-234.2-a4 has conductor ideal $(-9w+15)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-w{x}^{2}+\left(-16w-47\right){x}+89w+168$.
17
234.3-a1:
0.42180598047307289968522635714207890
comment: LMFDB curve 2.2.17.1-234.3-a1 has conductor ideal $(9w+6)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(9w+14\right){x}+18w+28$.
17
234.3-a2:
0.21090299023653644984261317857103945
comment: LMFDB curve 2.2.17.1-234.3-a2 has conductor ideal $(9w+6)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(w-3\right){x}-2w+5$.
17
234.3-a3:
0.42180598047307289968522635714207890
comment: LMFDB curve 2.2.17.1-234.3-a3 has conductor ideal $(9w+6)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-47w+124\right){x}-216w+552$.
17
234.3-a4:
0.10545149511826822492130658928551972
comment: LMFDB curve 2.2.17.1-234.3-a4 has conductor ideal $(9w+6)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(16w-63\right){x}-89w+257$.
17
234.4-d1:
0.26079408851159219569001283385715371
comment: LMFDB curve 2.2.17.1-234.4-d1 has conductor ideal $(3w-18)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(24w-25\right){x}-45w+105$.
17
234.4-d2:
0.13039704425579609784500641692857685
comment: LMFDB curve 2.2.17.1-234.4-d2 has conductor ideal $(3w-18)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-w-5\right){x}+2w+5$.
17
234.4-d3:
0.26079408851159219569001283385715371
comment: LMFDB curve 2.2.17.1-234.4-d3 has conductor ideal $(3w-18)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(5w-14\right){x}-47w+117$.
17
234.4-d4:
0.065198522127898048922503208464288427
comment: LMFDB curve 2.2.17.1-234.4-d4 has conductor ideal $(3w-18)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(37w-92\right){x}-15w+37$.
17
236.1-e1:
0.58718636344710862105161844765829450
comment: LMFDB curve 2.2.17.1-236.1-e1 has conductor ideal $(-8w-2)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(128w+192\right){x}-160w-272$.
17
236.1-e2:
0.29359318172355431052580922382914725
comment: LMFDB curve 2.2.17.1-236.1-e2 has conductor ideal $(-8w-2)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-32w-48\right){x}$.
17
236.1-e3:
0.14679659086177715526290461191457362
comment: LMFDB curve 2.2.17.1-236.1-e3 has conductor ideal $(-8w-2)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(3w-14\right){x}-7w+20$.
17
236.1-e4:
0.58718636344710862105161844765829450
comment: LMFDB curve 2.2.17.1-236.1-e4 has conductor ideal $(-8w-2)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-4w+5\right){x}+25w-70$.
17
236.2-e1:
0.58718636344710862105161844765829450
comment: LMFDB curve 2.2.17.1-236.2-e1 has conductor ideal $(8w-10)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(3w+2\right){x}-26w-44$.
17
236.2-e2:
0.14679659086177715526290461191457362
comment: LMFDB curve 2.2.17.1-236.2-e2 has conductor ideal $(8w-10)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-3w-11\right){x}+7w+13$.
17
236.2-e3:
0.29359318172355431052580922382914725
comment: LMFDB curve 2.2.17.1-236.2-e3 has conductor ideal $(8w-10)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+w{x}^{2}+\left(32w-80\right){x}$.
17
236.2-e4:
0.58718636344710862105161844765829450
comment: LMFDB curve 2.2.17.1-236.2-e4 has conductor ideal $(8w-10)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+w{x}^{2}+\left(-128w+320\right){x}+160w-432$.
17
242.1-a1:
0.43659036780083043821326391021187063
comment: LMFDB curve 2.2.17.1-242.1-a1 has conductor ideal $(-11w+22)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w-1\right){x}$.
17
242.1-a2:
3.9293133102074739439193751919068357
comment: LMFDB curve 2.2.17.1-242.1-a2 has conductor ideal $(-11w+22)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(59w-271\right){x}+396w-2058$.
17
242.1-a3:
1.3097711034024913146397917306356119
comment: LMFDB curve 2.2.17.1-242.1-a3 has conductor ideal $(-11w+22)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(4w+4\right){x}+11w+10$.
17
242.2-a1:
3.9293133102074739439193751919068357
comment: LMFDB curve 2.2.17.1-242.2-a1 has conductor ideal $(-11w-11)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-60w-211\right){x}-396w-1662$.
17
242.2-a2:
1.3097711034024913146397917306356119
comment: LMFDB curve 2.2.17.1-242.2-a2 has conductor ideal $(-11w-11)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-5w+9\right){x}-11w+21$.
17
242.2-a3:
0.43659036780083043821326391021187063
comment: LMFDB curve 2.2.17.1-242.2-a3 has conductor ideal $(-11w-11)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}-{x}$.
17
247.2-a1:
0.054694927533760369130636398613167543
comment: LMFDB curve 2.2.17.1-247.2-a1 has conductor ideal $(-6w-17)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-2w-1\right){x}+3w+5$.
17
247.3-a1:
0.054694927533760369130636398613167543
comment: LMFDB curve 2.2.17.1-247.3-a1 has conductor ideal $(6w-23)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+w{x}^{2}+\left(2w-3\right){x}-3w+8$.
21
17.1-b1:
0.092314733142511026514107896788840649
comment: LMFDB curve 2.2.21.1-17.1-b1 has conductor ideal $(-2w+3)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-w+1\right){x}$.
21
17.1-b2:
0.27694419942753307954232369036652194
comment: LMFDB curve 2.2.21.1-17.1-b2 has conductor ideal $(-2w+3)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-11w-14\right){x}+26w+50$.
21
17.2-b1:
0.092314733142511026514107896788840649
comment: LMFDB curve 2.2.21.1-17.2-b1 has conductor ideal $(2w+1)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}$.
21
17.2-b2:
0.27694419942753307954232369036652194
comment: LMFDB curve 2.2.21.1-17.2-b2 has conductor ideal $(2w+1)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(10w-25\right){x}-26w+76$.
21
21.1-b1:
2.6385088231341581748855033900597912
comment: LMFDB curve 2.2.21.1-21.1-b1 has conductor ideal $(-2w+1)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-34{x}-217$.
21
21.1-b2:
1.3192544115670790874427516950298956
comment: LMFDB curve 2.2.21.1-21.1-b2 has conductor ideal $(-2w+1)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+{x}$.
21
21.1-b3:
0.65962720578353954372137584751494781
comment: LMFDB curve 2.2.21.1-21.1-b3 has conductor ideal $(-2w+1)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-4{x}-1$.
21
21.1-b4:
0.32981360289176977186068792375747390
comment: LMFDB curve 2.2.21.1-21.1-b4 has conductor ideal $(-2w+1)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-39{x}+90$.
21
21.1-b5:
1.3192544115670790874427516950298956
comment: LMFDB curve 2.2.21.1-21.1-b5 has conductor ideal $(-2w+1)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-49{x}-136$.
21
21.1-b6:
2.6385088231341581748855033900597912
comment: LMFDB curve 2.2.21.1-21.1-b6 has conductor ideal $(-2w+1)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-784{x}-8515$.
21
25.2-b1:
0.13966998262964109035657405690003907
comment: LMFDB curve 2.2.21.1-25.2-b1 has conductor ideal $(w+5)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w+2\right){x}-2w+4$.
21
25.2-b2:
0.046556660876547030118858018966679692
comment: LMFDB curve 2.2.21.1-25.2-b2 has conductor ideal $(w+5)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(w+2\right){x}-w-2$.
21
25.3-b1:
0.13966998262964109035657405690003907
comment: LMFDB curve 2.2.21.1-25.3-b1 has conductor ideal $(-w+6)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(w+2\right){x}+w+1$.
21
25.3-b2:
0.046556660876547030118858018966679692
comment: LMFDB curve 2.2.21.1-25.3-b2 has conductor ideal $(-w+6)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w+2\right){x}$.
21
35.1-b1:
0.75330138206851910496200084099646733
comment: LMFDB curve 2.2.21.1-35.1-b1 has conductor ideal $(-3w+5)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-3w+1\right){x}-2w+2$.
21
35.1-b2:
0.25110046068950636832066694699882244
comment: LMFDB curve 2.2.21.1-35.1-b2 has conductor ideal $(-3w+5)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(12w-39\right){x}+56w-159$.
21
35.1-b3:
0.50220092137901273664133389399764488
comment: LMFDB curve 2.2.21.1-35.1-b3 has conductor ideal $(-3w+5)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(222w-634\right){x}+2933w-8188$.
21
35.1-b4:
1.5066027641370382099240016819929346
comment: LMFDB curve 2.2.21.1-35.1-b4 has conductor ideal $(-3w+5)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(2w-19\right){x}+1$.
21
35.2-b1:
0.25110046068950636832066694699882244
comment: LMFDB curve 2.2.21.1-35.2-b1 has conductor ideal $(-3w-2)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-14w-25\right){x}-57w-102$.
21
35.2-b2:
0.75330138206851910496200084099646733
comment: LMFDB curve 2.2.21.1-35.2-b2 has conductor ideal $(-3w-2)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}+w+1$.
21
35.2-b3:
1.5066027641370382099240016819929346
comment: LMFDB curve 2.2.21.1-35.2-b3 has conductor ideal $(-3w-2)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-4w-15\right){x}-w+2$.
21
35.2-b4:
0.50220092137901273664133389399764488
comment: LMFDB curve 2.2.21.1-35.2-b4 has conductor ideal $(-3w-2)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-224w-410\right){x}-2934w-5254$.
21
45.1-b1:
1.2838941880216998266437582148819252
comment: LMFDB curve 2.2.21.1-45.1-b1 has conductor ideal $(-3w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(302w-883\right){x}+4418w-12272$.
21
45.1-b2:
0.16048677350271247833046977686024066
comment: LMFDB curve 2.2.21.1-45.1-b2 has conductor ideal $(-3w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(2w+2\right){x}-w+7$.
21
45.1-b3:
0.16048677350271247833046977686024066
comment: LMFDB curve 2.2.21.1-45.1-b3 has conductor ideal $(-3w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(257w-718\right){x}-3487w+9718$.
21
45.1-b4:
0.32097354700542495666093955372048132
comment: LMFDB curve 2.2.21.1-45.1-b4 has conductor ideal $(-3w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(17w-43\right){x}-58w+163$.
21
45.1-b5:
0.64194709401084991332187910744096264
comment: LMFDB curve 2.2.21.1-45.1-b5 has conductor ideal $(-3w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(17w-88\right){x}+23w-8$.
21
45.1-b6:
0.32097354700542495666093955372048132
comment: LMFDB curve 2.2.21.1-45.1-b6 has conductor ideal $(-3w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(-268w-13\right){x}+1712w+2212$.
21
45.2-b1:
0.16048677350271247833046977686024066
comment: LMFDB curve 2.2.21.1-45.2-b1 has conductor ideal $(-3w+3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(3w+6\right){x}+4w+7$.
21
45.2-b2:
0.32097354700542495666093955372048132
comment: LMFDB curve 2.2.21.1-45.2-b2 has conductor ideal $(-3w+3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(273w-279\right){x}-1724w+5275$.
21
45.2-b3:
0.64194709401084991332187910744096264
comment: LMFDB curve 2.2.21.1-45.2-b3 has conductor ideal $(-3w+3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-12w-69\right){x}-110w-59$.
21
45.2-b4:
0.32097354700542495666093955372048132
comment: LMFDB curve 2.2.21.1-45.2-b4 has conductor ideal $(-3w+3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-12w-24\right){x}+16w+31$.
21
45.2-b5:
1.2838941880216998266437582148819252
comment: LMFDB curve 2.2.21.1-45.2-b5 has conductor ideal $(-3w+3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-297w-579\right){x}-5300w-9353$.
21
45.2-b6:
0.16048677350271247833046977686024066
comment: LMFDB curve 2.2.21.1-45.2-b6 has conductor ideal $(-3w+3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-252w-459\right){x}+2770w+4957$.
21
49.1-b1:
0.10959013344787713029036626147011091
comment: LMFDB curve 2.2.21.1-49.1-b1 has conductor ideal $(7)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(10w-28\right){x}-24w+67$.
21
49.1-b2:
0.76713093413513991203256383029077639
comment: LMFDB curve 2.2.21.1-49.1-b2 has conductor ideal $(7)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}-2{x}-1$.
21
49.1-b3:
0.21918026689575426058073252294022182
comment: LMFDB curve 2.2.21.1-49.1-b3 has conductor ideal $(7)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(185w-518\right){x}-1872w+5226$.
21
49.1-b4:
1.5342618682702798240651276605815527
comment: LMFDB curve 2.2.21.1-49.1-b4 has conductor ideal $(7)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}-37{x}-78$.
21
68.1-f1:
0.027847066072412470810864898816103053
comment: LMFDB curve 2.2.21.1-68.1-f1 has conductor ideal $(-4w+6)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-17w-32\right){x}+35w+62$.
21
68.1-d1:
0.56717602691724141073164745725555728
comment: LMFDB curve 2.2.21.1-68.1-d1 has conductor ideal $(-4w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-13w-24\right){x}+23w+42$.
21
68.1-d2:
2.8358801345862070536582372862777864
comment: LMFDB curve 2.2.21.1-68.1-d2 has conductor ideal $(-4w+6)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(1574w-4415\right){x}+159916w-446436$.
21
68.1-e1:
1.0742351069098053596515957514569832
comment: LMFDB curve 2.2.21.1-68.1-e1 has conductor ideal $(-4w+6)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-6w-11\right){x}-25w-45$.
21
68.1-e2:
1.0742351069098053596515957514569832
comment: LMFDB curve 2.2.21.1-68.1-e2 has conductor ideal $(-4w+6)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-106w-201\right){x}-1045w-1855$.
21
68.1-e3:
2.1484702138196107193031915029139664
comment: LMFDB curve 2.2.21.1-68.1-e3 has conductor ideal $(-4w+6)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(84w-236\right){x}-350w+975$.
21
68.1-e4:
4.2969404276392214386063830058279328
comment: LMFDB curve 2.2.21.1-68.1-e4 has conductor ideal $(-4w+6)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(534w-1506\right){x}+10500w-29325$.
21
68.2-f1:
0.027847066072412470810864898816103053
comment: LMFDB curve 2.2.21.1-68.2-f1 has conductor ideal $(4w+2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(21w-46\right){x}-64w+191$.
21
68.2-d1:
0.56717602691724141073164745725555728
comment: LMFDB curve 2.2.21.1-68.2-d1 has conductor ideal $(4w+2)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-w{x}^{2}+\left(13w-37\right){x}-23w+65$.
21
68.2-d2:
2.8358801345862070536582372862777864
comment: LMFDB curve 2.2.21.1-68.2-d2 has conductor ideal $(4w+2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-1573w-2838\right){x}-164330w-294388$.
21
68.2-e1:
1.0742351069098053596515957514569832
comment: LMFDB curve 2.2.21.1-68.2-e1 has conductor ideal $(4w+2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(9w-14\right){x}+16w-33$.
21
68.2-e2:
2.1484702138196107193031915029139664
comment: LMFDB curve 2.2.21.1-68.2-e2 has conductor ideal $(4w+2)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-85w-152\right){x}+349w+625$.
21
68.2-e3:
4.2969404276392214386063830058279328
comment: LMFDB curve 2.2.21.1-68.2-e3 has conductor ideal $(4w+2)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-535w-972\right){x}-10501w-18825$.
21
68.2-e4:
1.0742351069098053596515957514569832
comment: LMFDB curve 2.2.21.1-68.2-e4 has conductor ideal $(4w+2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(109w-304\right){x}+846w-2363$.
21
75.1-b1:
0.17229451920602228882836857213569841
comment: LMFDB curve 2.2.21.1-75.1-b1 has conductor ideal $(-5w+10)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(552w-1536\right){x}-20014w+55870$.
21
75.1-b2:
0.68917807682408915531347428854279365
comment: LMFDB curve 2.2.21.1-75.1-b2 has conductor ideal $(-5w+10)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(2w+4\right){x}+6w-10$.
21
75.1-b3:
0.34458903841204457765673714427139682
comment: LMFDB curve 2.2.21.1-75.1-b3 has conductor ideal $(-5w+10)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-173w+494\right){x}-1016w+2846$.
21
75.1-b4:
0.17229451920602228882836857213569841
comment: LMFDB curve 2.2.21.1-75.1-b4 has conductor ideal $(-5w+10)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(52w-136\right){x}-134w+380$.
21
75.1-b5:
0.34458903841204457765673714427139682
comment: LMFDB curve 2.2.21.1-75.1-b5 has conductor ideal $(-5w+10)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(27w-66\right){x}+104w-284$.
21
75.1-b6:
0.086147259603011144414184286067849206
comment: LMFDB curve 2.2.21.1-75.1-b6 has conductor ideal $(-5w+10)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(677w-1886\right){x}-14484w+40430$.
21
75.1-b7:
0.68917807682408915531347428854279365
comment: LMFDB curve 2.2.21.1-75.1-b7 has conductor ideal $(-5w+10)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(402w-1116\right){x}+6614w-18464$.
21
75.1-b8:
0.17229451920602228882836857213569841
comment: LMFDB curve 2.2.21.1-75.1-b8 has conductor ideal $(-5w+10)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(10802w-30236\right){x}-927354w+2588690$.
21
75.2-b1:
0.036353562689608636711977911057277674
comment: LMFDB curve 2.2.21.1-75.2-b1 has conductor ideal $(-4w-1)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-25w-50\right){x}+127w+229$.
21
75.3-b1:
0.036353562689608636711977911057277674
comment: LMFDB curve 2.2.21.1-75.3-b1 has conductor ideal $(-4w+5)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(25w-75\right){x}-128w+356$.
21
84.1-b1:
0.55323100586907850937141085973119558
comment: LMFDB curve 2.2.21.1-84.1-b1 has conductor ideal $(-4w+2)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-4{x}+5$.
21
84.1-b2:
4.4258480469526280749712868778495647
comment: LMFDB curve 2.2.21.1-84.1-b2 has conductor ideal $(-4w+2)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+386{x}+1277$.
21
84.1-b3:
2.2129240234763140374856434389247823
comment: LMFDB curve 2.2.21.1-84.1-b3 has conductor ideal $(-4w+2)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-104{x}+101$.
21
84.1-b4:
4.4258480469526280749712868778495647
comment: LMFDB curve 2.2.21.1-84.1-b4 has conductor ideal $(-4w+2)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-914{x}-10915$.
21
84.1-b5:
1.1064620117381570187428217194623911
comment: LMFDB curve 2.2.21.1-84.1-b5 has conductor ideal $(-4w+2)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-84{x}+261$.
21
84.1-b6:
0.55323100586907850937141085973119558
comment: LMFDB curve 2.2.21.1-84.1-b6 has conductor ideal $(-4w+2)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-1344{x}+18405$.
21
100.1-c1:
0.80776475853939633943645381549135689
comment: LMFDB curve 2.2.21.1-100.1-c1 has conductor ideal $(10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(2w-8\right){x}+5w-14$.
21
100.1-c2:
0.26925491951313211314548460516378563
comment: LMFDB curve 2.2.21.1-100.1-c2 has conductor ideal $(10)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-{x}^{2}+\left(2w+4\right){x}$.
21
100.1-c3:
0.13462745975656605657274230258189281
comment: LMFDB curve 2.2.21.1-100.1-c3 has conductor ideal $(10)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-{x}^{2}+\left(-8w-16\right){x}-8w-14$.
21
100.1-c4:
0.40388237926969816971822690774567844
comment: LMFDB curve 2.2.21.1-100.1-c4 has conductor ideal $(10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(42w-128\right){x}+261w-718$.
21
100.1-f1:
0.80776475853939633943645381549135689
comment: LMFDB curve 2.2.21.1-100.1-f1 has conductor ideal $(10)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-3w-5\right){x}-5w-9$.
21
100.1-f2:
0.26925491951313211314548460516378563
comment: LMFDB curve 2.2.21.1-100.1-f2 has conductor ideal $(10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-2w+6\right){x}$.
21
100.1-f3:
0.13462745975656605657274230258189281
comment: LMFDB curve 2.2.21.1-100.1-f3 has conductor ideal $(10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(8w-24\right){x}+8w-22$.
21
100.1-f4:
0.40388237926969816971822690774567844
comment: LMFDB curve 2.2.21.1-100.1-f4 has conductor ideal $(10)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-43w-85\right){x}-261w-457$.
21
108.1-e1:
0.066228233788470371953025080627918314
comment: LMFDB curve 2.2.21.1-108.1-e1 has conductor ideal $(-6w+12)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(w-7\right){x}-10w+26$.
21
108.1-e2:
0.19868470136541111585907524188375494
comment: LMFDB curve 2.2.21.1-108.1-e2 has conductor ideal $(-6w+12)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+w{x}^{2}+\left(-3w-12\right){x}-17w-19$.
21
108.1-e3:
0.19868470136541111585907524188375494
comment: LMFDB curve 2.2.21.1-108.1-e3 has conductor ideal $(-6w+12)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-14w-22\right){x}+47w+85$.
21
108.1-a1:
0.19868470136541111585907524188375494
comment: LMFDB curve 2.2.21.1-108.1-a1 has conductor ideal $(-6w+12)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(3w-15\right){x}+17w-36$.
21
108.1-a2:
0.066228233788470371953025080627918314
comment: LMFDB curve 2.2.21.1-108.1-a2 has conductor ideal $(-6w+12)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-3w-6\right){x}+9w+16$.
21
108.1-a3:
0.19868470136541111585907524188375494
comment: LMFDB curve 2.2.21.1-108.1-a3 has conductor ideal $(-6w+12)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(14w-36\right){x}-47w+132$.
21
108.1-f1:
0.78284701668676405927137598820969015
comment: LMFDB curve 2.2.21.1-108.1-f1 has conductor ideal $(-6w+12)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-4w-2\right){x}+2w+5$.
21
108.1-f2:
2.3485410500602921778141279646290704
comment: LMFDB curve 2.2.21.1-108.1-f2 has conductor ideal $(-6w+12)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-74w-132\right){x}-522w-943$.
21
108.1-f3:
2.3485410500602921778141279646290704
comment: LMFDB curve 2.2.21.1-108.1-f3 has conductor ideal $(-6w+12)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-36w+99\right){x}-624w+1743$.
21
108.1-b1:
2.3485410500602921778141279646290704
comment: LMFDB curve 2.2.21.1-108.1-b1 has conductor ideal $(-6w+12)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(73w-206\right){x}+522w-1465$.
21
108.1-b2:
0.78284701668676405927137598820969015
comment: LMFDB curve 2.2.21.1-108.1-b2 has conductor ideal $(-6w+12)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(3w-6\right){x}-2w+7$.
21
108.1-b3:
2.3485410500602921778141279646290704
comment: LMFDB curve 2.2.21.1-108.1-b3 has conductor ideal $(-6w+12)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(36w+63\right){x}+624w+1119$.
21
109.1-b1:
0.55856876190432394639144668719151296
comment: LMFDB curve 2.2.21.1-109.1-b1 has conductor ideal $(-3w-11)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-w-3\right){x}-6w+18$.
21
109.1-b2:
0.18618958730144131546381556239717098
comment: LMFDB curve 2.2.21.1-109.1-b2 has conductor ideal $(-3w-11)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-w+2\right){x}$.
21
109.1-a1:
0.75137771662671217808448706287776836
comment: LMFDB curve 2.2.21.1-109.1-a1 has conductor ideal $(-3w-11)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-23w-43\right){x}-149w-268$.
21
109.1-a2:
2.2541331498801365342534611886333050
comment: LMFDB curve 2.2.21.1-109.1-a2 has conductor ideal $(-3w-11)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(2w+2\right){x}+w+1$.
21
109.2-b1:
0.55856876190432394639144668719151296
comment: LMFDB curve 2.2.21.1-109.2-b1 has conductor ideal $(3w-14)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+{x}^{2}-3{x}+6w+12$.
21
109.2-b2:
0.18618958730144131546381556239717098
comment: LMFDB curve 2.2.21.1-109.2-b2 has conductor ideal $(3w-14)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+{x}^{2}+2{x}$.
21
109.2-a1:
0.75137771662671217808448706287776836
comment: LMFDB curve 2.2.21.1-109.2-a1 has conductor ideal $(3w-14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(26w-65\right){x}+82w-224$.
21
109.2-a2:
2.2541331498801365342534611886333050
comment: LMFDB curve 2.2.21.1-109.2-a2 has conductor ideal $(3w-14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(w+5\right){x}+2w$.
21
111.1-d1:
0.74553862934072488432248787357540087
comment: LMFDB curve 2.2.21.1-111.1-d1 has conductor ideal $(-5w+7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}-w{x}-1$.
21
111.1-d2:
0.37276931467036244216124393678770043
comment: LMFDB curve 2.2.21.1-111.1-d2 has conductor ideal $(-5w+7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-6w-10\right){x}-16w-29$.
21
111.1-d3:
1.1183079440110873264837318103631013
comment: LMFDB curve 2.2.21.1-111.1-d3 has conductor ideal $(-5w+7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-51w-115\right){x}+290w+589$.
21
111.1-d4:
2.2366158880221746529674636207262026
comment: LMFDB curve 2.2.21.1-111.1-d4 has conductor ideal $(-5w+7)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-56w-100\right){x}+308w+553$.
21
111.1-b1:
0.58762518871662944061520004570842510
comment: LMFDB curve 2.2.21.1-111.1-b1 has conductor ideal $(-5w+7)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-25w-34\right){x}-177w-300$.
21
111.1-b2:
4.7010015097330355249216003656674008
comment: LMFDB curve 2.2.21.1-111.1-b2 has conductor ideal $(-5w+7)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(25w-39\right){x}-80w+215$.
21
111.1-b3:
2.3505007548665177624608001828337004
comment: LMFDB curve 2.2.21.1-111.1-b3 has conductor ideal $(-5w+7)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}-4{x}-5w-1$.
21
111.1-b4:
1.1752503774332588812304000914168502
comment: LMFDB curve 2.2.21.1-111.1-b4 has conductor ideal $(-5w+7)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+{x}$.
21
111.1-b5:
1.1752503774332588812304000914168502
comment: LMFDB curve 2.2.21.1-111.1-b5 has conductor ideal $(-5w+7)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-25w-49\right){x}-150w-261$.
21
111.1-b6:
2.3505007548665177624608001828337004
comment: LMFDB curve 2.2.21.1-111.1-b6 has conductor ideal $(-5w+7)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-425w-784\right){x}-7903w-14182$.
21
111.2-d1:
2.2366158880221746529674636207262026
comment: LMFDB curve 2.2.21.1-111.2-d1 has conductor ideal $(-5w-2)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(56w-156\right){x}-308w+861$.
21
111.2-d2:
0.74553862934072488432248787357540087
comment: LMFDB curve 2.2.21.1-111.2-d2 has conductor ideal $(-5w-2)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(w-1\right){x}-1$.
21
111.2-d3:
0.37276931467036244216124393678770043
comment: LMFDB curve 2.2.21.1-111.2-d3 has conductor ideal $(-5w-2)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(6w-16\right){x}+16w-45$.
21
111.2-d4:
1.1183079440110873264837318103631013
comment: LMFDB curve 2.2.21.1-111.2-d4 has conductor ideal $(-5w-2)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(51w-166\right){x}-290w+879$.
21
111.2-b1:
1.1752503774332588812304000914168502
comment: LMFDB curve 2.2.21.1-111.2-b1 has conductor ideal $(-5w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+w{x}^{2}+\left(3w+3\right){x}+w+6$.
21
111.2-b2:
0.58762518871662944061520004570842510
comment: LMFDB curve 2.2.21.1-111.2-b2 has conductor ideal $(-5w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+w{x}^{2}+\left(28w-57\right){x}+143w-346$.
21
111.2-b3:
1.1752503774332588812304000914168502
comment: LMFDB curve 2.2.21.1-111.2-b3 has conductor ideal $(-5w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+w{x}^{2}+\left(28w-72\right){x}+101w-280$.
21
111.2-b4:
2.3505007548665177624608001828337004
comment: LMFDB curve 2.2.21.1-111.2-b4 has conductor ideal $(-5w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+w{x}^{2}+\left(428w-1207\right){x}+7119w-19954$.
21
111.2-b5:
2.3505007548665177624608001828337004
comment: LMFDB curve 2.2.21.1-111.2-b5 has conductor ideal $(-5w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+w{x}^{2}+\left(3w-2\right){x}+w$.
21
111.2-b6:
4.7010015097330355249216003656674008
comment: LMFDB curve 2.2.21.1-111.2-b6 has conductor ideal $(-5w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-22w-12\right){x}+41w+16$.
21
121.1-b1:
66.010148949111164237178753762554142
comment: LMFDB curve 2.2.21.1-121.1-b1 has conductor ideal $(11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}-7820{x}-263580$.
21
121.1-b2:
13.202029789822232847435750752510828
comment: LMFDB curve 2.2.21.1-121.1-b2 has conductor ideal $(11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}-10{x}-20$.
21
121.1-b3:
2.6404059579644465694871501505021656
comment: LMFDB curve 2.2.21.1-121.1-b3 has conductor ideal $(11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-{x}^{2}$.
21
121.1-c1:
0.55568073570994009832121611547628462
comment: LMFDB curve 2.2.21.1-121.1-c1 has conductor ideal $(11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-w{x}^{2}+\left(39102w-109483\right){x}-6365015w+17769325$.
21
121.1-c2:
0.11113614714198801966424322309525692
comment: LMFDB curve 2.2.21.1-121.1-c2 has conductor ideal $(11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-w{x}^{2}+\left(52w-143\right){x}-525w+1465$.
21
121.1-c3:
0.55568073570994009832121611547628461
comment: LMFDB curve 2.2.21.1-121.1-c3 has conductor ideal $(11)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-2w-1\right){x}-5w-10$.
21
123.1-b1:
0.25704925532030514714536590555302835
comment: LMFDB curve 2.2.21.1-123.1-b1 has conductor ideal $(-2w+13)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-w+1\right){x}$.
21
123.1-a1:
0.10078360278095270948839276339551090
comment: LMFDB curve 2.2.21.1-123.1-a1 has conductor ideal $(-2w+13)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(2w-7\right){x}-5w+12$.
21
123.2-b1:
0.25704925532030514714536590555302835
comment: LMFDB curve 2.2.21.1-123.2-b1 has conductor ideal $(2w+11)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+{x}^{2}+{x}$.
21
123.2-a1:
0.10078360278095270948839276339551090
comment: LMFDB curve 2.2.21.1-123.2-a1 has conductor ideal $(2w+11)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-3w-5\right){x}+4w+7$.
21
125.1-j1:
0.050593384389940177259814249326644506
comment: LMFDB curve 2.2.21.1-125.1-j1 has conductor ideal $(-5w)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(3w-10\right){x}+9w-24$.
21
125.1-e1:
0.56827464630480485567426790960342157
comment: LMFDB curve 2.2.21.1-125.1-e1 has conductor ideal $(-5w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(29w-80\right){x}$.
21
125.1-e2:
1.1365492926096097113485358192068431
comment: LMFDB curve 2.2.21.1-125.1-e2 has conductor ideal $(-5w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-116w+320\right){x}-94w+255$.
21
125.1-i1:
0.69944532750568307491731942161763713
comment: LMFDB curve 2.2.21.1-125.1-i1 has conductor ideal $(-5w)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-10w-13\right){x}+18w+28$.
21
125.1-i2:
2.0983359825170492247519582648529113
comment: LMFDB curve 2.2.21.1-125.1-i2 has conductor ideal $(-5w)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(50w+37\right){x}+149w+158$.
21
125.1-a1:
1.3784970388505230130765410863679732
comment: LMFDB curve 2.2.21.1-125.1-a1 has conductor ideal $(-5w)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(118w-163\right){x}+463w-1978$.
21
125.1-a2:
0.68924851942526150653827054318398660
comment: LMFDB curve 2.2.21.1-125.1-a2 has conductor ideal $(-5w)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-7w-38\right){x}-37w-103$.
21
125.1-a3:
0.34462425971263075326913527159199330
comment: LMFDB curve 2.2.21.1-125.1-a3 has conductor ideal $(-5w)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-2w-13\right){x}+w+12$.
21
125.1-a4:
0.34462425971263075326913527159199330
comment: LMFDB curve 2.2.21.1-125.1-a4 has conductor ideal $(-5w)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-212w-313\right){x}-2489w-4688$.
21
125.1-g1:
0.064238224119355780940724580540983712
comment: LMFDB curve 2.2.21.1-125.1-g1 has conductor ideal $(-5w)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+{x}^{2}+\left(2w-8\right){x}-3w+9$.
21
125.1-g2:
0.32119112059677890470362290270491856
comment: LMFDB curve 2.2.21.1-125.1-g2 has conductor ideal $(-5w)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(w-1\right){x}^{2}+2{x}+w-2$.
21
125.2-j1:
0.050593384389940177259814249326644506
comment: LMFDB curve 2.2.21.1-125.2-j1 has conductor ideal $(-5w+5)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(-3w-7\right){x}-9w-15$.
21
125.2-e1:
1.1365492926096097113485358192068431
comment: LMFDB curve 2.2.21.1-125.2-e1 has conductor ideal $(-5w+5)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}-w{x}^{2}+\left(116w+204\right){x}+94w+161$.
21
125.2-e2:
0.56827464630480485567426790960342157
comment: LMFDB curve 2.2.21.1-125.2-e2 has conductor ideal $(-5w+5)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}-w{x}^{2}+\left(-29w-51\right){x}$.
21
125.2-i1:
2.0983359825170492247519582648529113
comment: LMFDB curve 2.2.21.1-125.2-i1 has conductor ideal $(-5w+5)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}-w{x}^{2}+\left(-50w+87\right){x}-150w+308$.
21
125.2-i2:
0.69944532750568307491731942161763713
comment: LMFDB curve 2.2.21.1-125.2-i2 has conductor ideal $(-5w+5)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}-w{x}^{2}+\left(10w-23\right){x}-19w+47$.
21
125.2-a1:
0.34462425971263075326913527159199330
comment: LMFDB curve 2.2.21.1-125.2-a1 has conductor ideal $(-5w+5)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(212w-525\right){x}+2489w-7177$.
21
125.2-a2:
0.68924851942526150653827054318398660
comment: LMFDB curve 2.2.21.1-125.2-a2 has conductor ideal $(-5w+5)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(7w-45\right){x}+37w-140$.
21
125.2-a3:
0.34462425971263075326913527159199330
comment: LMFDB curve 2.2.21.1-125.2-a3 has conductor ideal $(-5w+5)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(2w-15\right){x}-w+13$.
21
125.2-a4:
1.3784970388505230130765410863679732
comment: LMFDB curve 2.2.21.1-125.2-a4 has conductor ideal $(-5w+5)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-118w-45\right){x}-463w-1515$.
21
125.2-g1:
0.064238224119355780940724580540983712
comment: LMFDB curve 2.2.21.1-125.2-g1 has conductor ideal $(-5w+5)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+{x}^{2}+\left(-2w-6\right){x}+3w+6$.
21
125.2-g2:
0.32119112059677890470362290270491856
comment: LMFDB curve 2.2.21.1-125.2-g2 has conductor ideal $(-5w+5)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-w{x}^{2}+2{x}-w-1$.
21
140.1-g1:
0.043296878389503112190171183703923042
comment: LMFDB curve 2.2.21.1-140.1-g1 has conductor ideal $(-6w+10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-w-2\right){x}+w+1$.
21
140.1-g2:
0.12989063516850933657051355111176912
comment: LMFDB curve 2.2.21.1-140.1-g2 has conductor ideal $(-6w+10)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(11w-28\right){x}-33w+93$.
21
140.1-h1:
0.10874211141406858666677216820397710
comment: LMFDB curve 2.2.21.1-140.1-h1 has conductor ideal $(-6w+10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-3w-3\right){x}-41w-74$.
21
140.1-h2:
0.21748422282813717333354433640795421
comment: LMFDB curve 2.2.21.1-140.1-h2 has conductor ideal $(-6w+10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-123w-223\right){x}-1377w-2458$.
21
140.1-i1:
0.16104625709785048694185017156603021
comment: LMFDB curve 2.2.21.1-140.1-i1 has conductor ideal $(-6w+10)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-1485w-2770\right){x}+46709w+84049$.
21
140.1-i2:
0.053682085699283495647283390522010072
comment: LMFDB curve 2.2.21.1-140.1-i2 has conductor ideal $(-6w+10)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-5w-10\right){x}+157w+281$.
21
140.1-i3:
0.16104625709785048694185017156603021
comment: LMFDB curve 2.2.21.1-140.1-i3 has conductor ideal $(-6w+10)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}-6w-11$.
21
140.1-j1:
0.084623703235752384241916131601320396
comment: LMFDB curve 2.2.21.1-140.1-j1 has conductor ideal $(-6w+10)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-w+3\right){x}-141w+394$.
21
140.1-j2:
0.25387110970725715272574839480396118
comment: LMFDB curve 2.2.21.1-140.1-j2 has conductor ideal $(-6w+10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(12w-5\right){x}-7w+47$.
21
140.1-j3:
0.50774221941451430545149678960792237
comment: LMFDB curve 2.2.21.1-140.1-j3 has conductor ideal $(-6w+10)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(82w-285\right){x}-847w+2035$.
21
140.1-j4:
0.16924740647150476848383226320264079
comment: LMFDB curve 2.2.21.1-140.1-j4 has conductor ideal $(-6w+10)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(239w-677\right){x}-2797w+7826$.
21
140.1-f1:
0.57597683491477145972966967439641540
comment: LMFDB curve 2.2.21.1-140.1-f1 has conductor ideal $(-6w+10)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(1918w-6096\right){x}-75258w+218260$.
21
140.1-f2:
0.11519536698295429194593393487928308
comment: LMFDB curve 2.2.21.1-140.1-f2 has conductor ideal $(-6w+10)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(33w-96\right){x}+177w-495$.
21
140.2-g1:
0.043296878389503112190171183703923042
comment: LMFDB curve 2.2.21.1-140.2-g1 has conductor ideal $(-6w-4)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}-{x}^{2}-2{x}-w+2$.
21
140.2-g2:
0.12989063516850933657051355111176912
comment: LMFDB curve 2.2.21.1-140.2-g2 has conductor ideal $(-6w-4)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-11w-17\right){x}+33w+60$.
21
140.2-h1:
0.10874211141406858666677216820397710
comment: LMFDB curve 2.2.21.1-140.2-h1 has conductor ideal $(-6w-4)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(6w-10\right){x}+36w-96$.
21
140.2-h2:
0.21748422282813717333354433640795421
comment: LMFDB curve 2.2.21.1-140.2-h2 has conductor ideal $(-6w-4)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(126w-350\right){x}+1152w-3216$.
21
140.2-i1:
0.053682085699283495647283390522010072
comment: LMFDB curve 2.2.21.1-140.2-i1 has conductor ideal $(-6w-4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(3w-14\right){x}-158w+439$.
21
140.2-i2:
0.16104625709785048694185017156603021
comment: LMFDB curve 2.2.21.1-140.2-i2 has conductor ideal $(-6w-4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-2w+1\right){x}+5w-16$.
21
140.2-i3:
0.16104625709785048694185017156603021
comment: LMFDB curve 2.2.21.1-140.2-i3 has conductor ideal $(-6w-4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(1483w-4254\right){x}-46710w+130759$.
21
140.2-j1:
0.25387110970725715272574839480396118
comment: LMFDB curve 2.2.21.1-140.2-j1 has conductor ideal $(-6w-4)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}-7w{x}+8w-7$.
21
140.2-j2:
0.084623703235752384241916131601320396
comment: LMFDB curve 2.2.21.1-140.2-j2 has conductor ideal $(-6w-4)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+w{x}^{2}+\left(w+2\right){x}+141w+253$.
21
140.2-j3:
0.16924740647150476848383226320264079
comment: LMFDB curve 2.2.21.1-140.2-j3 has conductor ideal $(-6w-4)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+w{x}^{2}+\left(-239w-438\right){x}+2797w+5029$.
21
140.2-j4:
0.50774221941451430545149678960792237
comment: LMFDB curve 2.2.21.1-140.2-j4 has conductor ideal $(-6w-4)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(-77w-210\right){x}+638w+1001$.
21
140.2-f1:
0.11519536698295429194593393487928308
comment: LMFDB curve 2.2.21.1-140.2-f1 has conductor ideal $(-6w-4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-32w-58\right){x}-210w-376$.
21
140.2-f2:
0.57597683491477145972966967439641541
comment: LMFDB curve 2.2.21.1-140.2-f2 has conductor ideal $(-6w-4)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-1917w-4173\right){x}+73340w+138829$.
21
141.1-a1:
0.48893573385925048243792226670851771
comment: LMFDB curve 2.2.21.1-141.1-a1 has conductor ideal $(-4w+17)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(w-2\right){x}$.
21
141.1-a2:
0.24446786692962524121896113335425885
comment: LMFDB curve 2.2.21.1-141.1-a2 has conductor ideal $(-4w+17)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(6w-17\right){x}-16w+43$.
21
141.1-b1:
0.29332781200899765542123146820771243
comment: LMFDB curve 2.2.21.1-141.1-b1 has conductor ideal $(-4w+17)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(w+2\right){x}$.
21
141.1-b2:
0.14666390600449882771061573410385621
comment: LMFDB curve 2.2.21.1-141.1-b2 has conductor ideal $(-4w+17)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-4w-8\right){x}+15w+26$.
21
141.2-a1:
0.48893573385925048243792226670851771
comment: LMFDB curve 2.2.21.1-141.2-a1 has conductor ideal $(4w+13)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(w+2\right){x}-1$.
21
141.2-a2:
0.24446786692962524121896113335425885
comment: LMFDB curve 2.2.21.1-141.2-a2 has conductor ideal $(4w+13)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-4w-8\right){x}+w+1$.
21
141.2-b1:
0.29332781200899765542123146820771243
comment: LMFDB curve 2.2.21.1-141.2-b1 has conductor ideal $(4w+13)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w+2\right){x}+2$.
21
141.2-b2:
0.14666390600449882771061573410385621
comment: LMFDB curve 2.2.21.1-141.2-b2 has conductor ideal $(4w+13)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(6w-13\right){x}-10w+28$.
21
144.1-a1:
0.52689537248059847502449502903626231
comment: LMFDB curve 2.2.21.1-144.1-a1 has conductor ideal $(12)$, rank $1$, and equation ${y}^2={x}^{3}-24w-43$.
21
144.1-a2:
1.5806861174417954250734850871087869
comment: LMFDB curve 2.2.21.1-144.1-a2 has conductor ideal $(12)$, rank $1$, and equation ${y}^2={x}^{3}+1$.
21
144.1-a3:
0.26344768624029923751224751451813115
comment: LMFDB curve 2.2.21.1-144.1-a3 has conductor ideal $(12)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-75w-135\right){x}-528w-946$.
21
144.1-a4:
0.79034305872089771253674254355439347
comment: LMFDB curve 2.2.21.1-144.1-a4 has conductor ideal $(12)$, rank $1$, and equation ${y}^2={x}^{3}-15{x}+22$.
21
147.1-f1:
0.45105858333067839424256680622236553
comment: LMFDB curve 2.2.21.1-147.1-f1 has conductor ideal $(-7w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+w{x}^{2}+\left(-7w-15\right){x}-119w-209$.
21
147.1-f2:
0.90211716666135678848513361244473106
comment: LMFDB curve 2.2.21.1-147.1-f2 has conductor ideal $(-7w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+w{x}^{2}+\left(-252w-505\right){x}-4186w-7314$.
21
147.1-d1:
0.45105858333067839424256680622236553
comment: LMFDB curve 2.2.21.1-147.1-d1 has conductor ideal $(-7w+14)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(10w-28\right){x}+91w-254$.
21
147.1-d2:
0.90211716666135678848513361244473106
comment: LMFDB curve 2.2.21.1-147.1-d2 has conductor ideal $(-7w+14)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(255w-763\right){x}+3423w-9466$.
21
147.1-e1:
0.99151044712942316397777192312828373
comment: LMFDB curve 2.2.21.1-147.1-e1 has conductor ideal $(-7w+14)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-w{x}^{2}+\left(4562w-12771\right){x}+257501w-718820$.
21
147.1-e2:
0.076270034394571012613674763317560287
comment: LMFDB curve 2.2.21.1-147.1-e2 has conductor ideal $(-7w+14)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-w{x}^{2}+\left(12w-31\right){x}-29w+80$.
21
153.1-c1:
0.20938566549464604320612799789512334
comment: LMFDB curve 2.2.21.1-153.1-c1 has conductor ideal $(-6w+9)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-w-1\right){x}-w-2$.
21
153.1-c2:
0.62815699648393812961838399368537003
comment: LMFDB curve 2.2.21.1-153.1-c2 has conductor ideal $(-6w+9)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(4w+4\right){x}+3w+9$.
21
153.1-f1:
0.13703402348957618114255230836768381
comment: LMFDB curve 2.2.21.1-153.1-f1 has conductor ideal $(-6w+9)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+3{x}+1$.
21
153.1-f2:
0.045678007829858727047517436122561270
comment: LMFDB curve 2.2.21.1-153.1-f2 has conductor ideal $(-6w+9)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(5w+8\right){x}-10w-18$.
21
153.1-e1:
0.16266907578791552365105036739619632
comment: LMFDB curve 2.2.21.1-153.1-e1 has conductor ideal $(-6w+9)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-3w-6\right){x}+w+1$.
21
153.1-e2:
0.48800722736374657095315110218858896
comment: LMFDB curve 2.2.21.1-153.1-e2 has conductor ideal $(-6w+9)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-138w-246\right){x}+1324w+2371$.
21
153.2-c1:
0.62815699648393812961838399368537003
comment: LMFDB curve 2.2.21.1-153.2-c1 has conductor ideal $(6w+3)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(-5w+9\right){x}-4w+13$.
21
153.2-c2:
0.20938566549464604320612799789512334
comment: LMFDB curve 2.2.21.1-153.2-c2 has conductor ideal $(6w+3)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}-{x}^{2}-{x}-2$.
21
153.2-f1:
0.045678007829858727047517436122561270
comment: LMFDB curve 2.2.21.1-153.2-f1 has conductor ideal $(6w+3)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-7w+14\right){x}+9w-27$.
21
153.2-f2:
0.13703402348957618114255230836768381
comment: LMFDB curve 2.2.21.1-153.2-f2 has conductor ideal $(6w+3)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+3{x}+1$.
21
153.2-e1:
0.16266907578791552365105036739619632
comment: LMFDB curve 2.2.21.1-153.2-e1 has conductor ideal $(6w+3)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(w-8\right){x}-2w+2$.
21
153.2-e2:
0.48800722736374657095315110218858896
comment: LMFDB curve 2.2.21.1-153.2-e2 has conductor ideal $(6w+3)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(136w-383\right){x}-1325w+3695$.
21
164.1-b1:
0.10262660119167810759822625292851491
comment: LMFDB curve 2.2.21.1-164.1-b1 has conductor ideal $(-6w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(2w+3\right){x}+w+5$.
21
164.1-b2:
0.20525320238335621519645250585702983
comment: LMFDB curve 2.2.21.1-164.1-b2 has conductor ideal $(-6w-2)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(2w-37\right){x}-55w+45$.
21
164.2-b1:
0.10262660119167810759822625292851491
comment: LMFDB curve 2.2.21.1-164.2-b1 has conductor ideal $(6w-8)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+7{x}+2w-2$.
21
164.2-b2:
0.20525320238335621519645250585702983
comment: LMFDB curve 2.2.21.1-164.2-b2 has conductor ideal $(6w-8)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}-33{x}+18w-18$.
21
167.1-b1:
0.11693509464048521532350083156676709
comment: LMFDB curve 2.2.21.1-167.1-b1 has conductor ideal $(-7w+13)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(7w-17\right){x}+16w-49$.
21
167.2-b1:
0.11693509464048521532350083156676709
comment: LMFDB curve 2.2.21.1-167.2-b1 has conductor ideal $(7w+6)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-7w-10\right){x}-17w-32$.
21
173.1-b1:
0.089690021369805333993133327416970506
comment: LMFDB curve 2.2.21.1-173.1-b1 has conductor ideal $(-6w-1)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(11w-30\right){x}-37w+101$.
21
173.2-b1:
0.089690021369805333993133327416970506
comment: LMFDB curve 2.2.21.1-173.2-b1 has conductor ideal $(6w-7)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-12w-19\right){x}+36w+64$.
21
175.1-b1:
0.040819755796108153836983333499773286
comment: LMFDB curve 2.2.21.1-175.1-b1 has conductor ideal $(5w+15)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+w{x}^{2}+\left(657w-1837\right){x}-14938w+41697$.
21
175.1-b2:
0.36737780216497338453285000149795958
comment: LMFDB curve 2.2.21.1-175.1-b2 has conductor ideal $(5w+15)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-7w-10\right){x}-12w-21$.
21
175.1-b3:
0.12245926738832446151095000049931986
comment: LMFDB curve 2.2.21.1-175.1-b3 has conductor ideal $(5w+15)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+w{x}^{2}+\left(-43w+123\right){x}-14w+40$.
21
175.1-a1:
4.0571658379926836534777796826987212
comment: LMFDB curve 2.2.21.1-175.1-a1 has conductor ideal $(5w+15)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+{x}^{2}-131{x}-650$.
21
175.1-a2:
0.45079620422140929483086440918874680
comment: LMFDB curve 2.2.21.1-175.1-a2 has conductor ideal $(5w+15)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+{x}^{2}-{x}$.
21
175.1-a3:
1.3523886126642278844925932275662404
comment: LMFDB curve 2.2.21.1-175.1-a3 has conductor ideal $(5w+15)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$.
21
180.1-e1:
0.28546272918385871824462369195353928
comment: LMFDB curve 2.2.21.1-180.1-e1 has conductor ideal $(-6w)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(31w-77\right){x}-138w+369$.
21
180.1-e2:
0.031718081020428746471624854661504365
comment: LMFDB curve 2.2.21.1-180.1-e2 has conductor ideal $(-6w)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-3w+6\right){x}+w$.
21
180.1-e3:
0.095154243061286239414874563984513096
comment: LMFDB curve 2.2.21.1-180.1-e3 has conductor ideal $(-6w)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(10w+20\right){x}-46w-82$.
21
180.1-f1:
1.1614712944486196842733134993139233
comment: LMFDB curve 2.2.21.1-180.1-f1 has conductor ideal $(-6w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(414w-1161\right){x}-6495w+18134$.
21
180.1-f2:
1.1614712944486196842733134993139233
comment: LMFDB curve 2.2.21.1-180.1-f2 has conductor ideal $(-6w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-36w+99\right){x}+21w-60$.
21
180.1-f3:
0.38715709814953989475777116643797446
comment: LMFDB curve 2.2.21.1-180.1-f3 has conductor ideal $(-6w)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(4w-11\right){x}-5w+14$.
21
180.1-d1:
0.010439484998378444658666610501416004
comment: LMFDB curve 2.2.21.1-180.1-d1 has conductor ideal $(-6w)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-39w-72\right){x}+126w+229$.
21
180.1-d2:
0.052197424991892223293333052507080021
comment: LMFDB curve 2.2.21.1-180.1-d2 has conductor ideal $(-6w)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(696w-597\right){x}-12579w+8314$.
21
180.2-e1:
0.28546272918385871824462369195353928
comment: LMFDB curve 2.2.21.1-180.2-e1 has conductor ideal $(-6w+6)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-26w-54\right){x}+85w+145$.
21
180.2-e2:
0.095154243061286239414874563984513096
comment: LMFDB curve 2.2.21.1-180.2-e2 has conductor ideal $(-6w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-12w+30\right){x}+45w-128$.
21
180.2-e3:
0.031718081020428746471624854661504365
comment: LMFDB curve 2.2.21.1-180.2-e3 has conductor ideal $(-6w+6)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}-{x}^{2}+\left(3w+3\right){x}-w+1$.
21
180.2-f1:
1.1614712944486196842733134993139233
comment: LMFDB curve 2.2.21.1-180.2-f1 has conductor ideal $(-6w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-414w-747\right){x}+6495w+11639$.
21
180.2-f2:
0.38715709814953989475777116643797446
comment: LMFDB curve 2.2.21.1-180.2-f2 has conductor ideal $(-6w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-4w-7\right){x}+5w+9$.
21
180.2-f3:
1.1614712944486196842733134993139233
comment: LMFDB curve 2.2.21.1-180.2-f3 has conductor ideal $(-6w+6)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(36w+63\right){x}-21w-39$.
21
180.2-d1:
0.052197424991892223293333052507080021
comment: LMFDB curve 2.2.21.1-180.2-d1 has conductor ideal $(-6w+6)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-692w+92\right){x}+12674w-7829$.
21
180.2-d2:
0.010439484998378444658666610501416004
comment: LMFDB curve 2.2.21.1-180.2-d2 has conductor ideal $(-6w+6)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(43w-118\right){x}-241w+676$.
21
185.2-a1:
2.2190058407179647587747190131602584
comment: LMFDB curve 2.2.21.1-185.2-a1 has conductor ideal $(7w+5)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(85w-248\right){x}-1715w+4793$.
21
185.2-a2:
0.73966861357265491959157300438675281
comment: LMFDB curve 2.2.21.1-185.2-a2 has conductor ideal $(7w+5)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+{x}^{2}+\left(-4w-6\right){x}+97w+174$.
21
185.2-a3:
1.4793372271453098391831460087735056
comment: LMFDB curve 2.2.21.1-185.2-a3 has conductor ideal $(7w+5)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(95w-268\right){x}+717w-2003$.
21
185.2-a4:
4.4380116814359295175494380263205168
comment: LMFDB curve 2.2.21.1-185.2-a4 has conductor ideal $(7w+5)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(1920w-5518\right){x}-70167w+196552$.
21
185.3-a1:
2.2190058407179647587747190131602584
comment: LMFDB curve 2.2.21.1-185.3-a1 has conductor ideal $(7w-12)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-86w-163\right){x}+1714w+3078$.
21
185.3-a2:
0.73966861357265491959157300438675281
comment: LMFDB curve 2.2.21.1-185.3-a2 has conductor ideal $(7w-12)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(4w-10\right){x}-97w+271$.
21
185.3-a3:
1.4793372271453098391831460087735056
comment: LMFDB curve 2.2.21.1-185.3-a3 has conductor ideal $(7w-12)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-96w-173\right){x}-718w-1286$.
21
185.3-a4:
4.4380116814359295175494380263205168
comment: LMFDB curve 2.2.21.1-185.3-a4 has conductor ideal $(7w-12)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-1921w-3598\right){x}+70166w+126385$.
21
192.1-j1:
6.5510172453980703088352225495078934
comment: LMFDB curve 2.2.21.1-192.1-j1 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}+16{x}-180$.
21
192.1-j2:
0.81887715567475878860440281868848668
comment: LMFDB curve 2.2.21.1-192.1-j2 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}+{x}$.
21
192.1-j3:
1.6377543113495175772088056373769733
comment: LMFDB curve 2.2.21.1-192.1-j3 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}-4{x}+4$.
21
192.1-j4:
3.2755086226990351544176112747539467
comment: LMFDB curve 2.2.21.1-192.1-j4 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}-24{x}-36$.
21
192.1-j5:
0.81887715567475878860440281868848668
comment: LMFDB curve 2.2.21.1-192.1-j5 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}-64{x}+220$.
21
192.1-j6:
6.5510172453980703088352225495078934
comment: LMFDB curve 2.2.21.1-192.1-j6 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}-384{x}-2772$.
21
192.1-l1:
0.39325927264232629937895459209462806
comment: LMFDB curve 2.2.21.1-192.1-l1 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-w+1\right){x}^{2}+\left(-w+1\right){x}+1$.
21
192.1-l2:
0.19662963632116314968947729604731403
comment: LMFDB curve 2.2.21.1-192.1-l2 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(-w+1\right){x}^{2}+\left(-6w-9\right){x}+15w+27$.
21
192.1-h1:
0.39325927264232629937895459209462806
comment: LMFDB curve 2.2.21.1-192.1-h1 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+w{x}^{2}+w{x}+1$.
21
192.1-h2:
0.19662963632116314968947729604731403
comment: LMFDB curve 2.2.21.1-192.1-h2 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+w{x}^{2}+\left(6w-15\right){x}-15w+42$.
21
192.1-m1:
0.14634761151313264274787792181183186
comment: LMFDB curve 2.2.21.1-192.1-m1 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+{x}^{2}+\left(w-5\right){x}-48w-81$.
21
192.1-m2:
0.073173805756566321373938960905915933
comment: LMFDB curve 2.2.21.1-192.1-m2 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+{x}^{2}+\left(-119w-220\right){x}-1117w-1996$.
21
192.1-n1:
0.073173805756566321373938960905915933
comment: LMFDB curve 2.2.21.1-192.1-n1 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+{x}^{2}+\left(119w-339\right){x}+1117w-3113$.
21
192.1-n2:
0.14634761151313264274787792181183186
comment: LMFDB curve 2.2.21.1-192.1-n2 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+{x}^{2}+\left(-w-4\right){x}+48w-129$.
21
192.1-k1:
0.85276253156109286593595010391831629
comment: LMFDB curve 2.2.21.1-192.1-k1 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w-1\right){x}^{2}+{x}$.
21
192.1-k2:
0.85276253156109286593595010391831629
comment: LMFDB curve 2.2.21.1-192.1-k2 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w-1\right){x}^{2}+\left(20w-64\right){x}-108w+300$.
21
192.1-k3:
1.7055250631221857318719002078366325
comment: LMFDB curve 2.2.21.1-192.1-k3 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w-1\right){x}^{2}-4{x}-4w+4$.
21
192.1-k4:
3.4110501262443714637438004156732651
comment: LMFDB curve 2.2.21.1-192.1-k4 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w-1\right){x}^{2}+\left(-20w-24\right){x}-76w-116$.
21
192.1-f1:
3.4110501262443714637438004156732651
comment: LMFDB curve 2.2.21.1-192.1-f1 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}-w{x}^{2}+\left(20w-44\right){x}+76w-192$.
21
192.1-f2:
0.85276253156109286593595010391831629
comment: LMFDB curve 2.2.21.1-192.1-f2 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}-w{x}^{2}+{x}$.
21
192.1-f3:
1.7055250631221857318719002078366325
comment: LMFDB curve 2.2.21.1-192.1-f3 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}-w{x}^{2}-4{x}+4w$.
21
192.1-f4:
0.85276253156109286593595010391831629
comment: LMFDB curve 2.2.21.1-192.1-f4 has conductor ideal $(-8w+16)$, rank $1$, and equation ${y}^2={x}^{3}-w{x}^{2}+\left(-20w-44\right){x}+108w+192$.
21
193.1-c1:
0.20814684850107355632539146774456773
comment: LMFDB curve 2.2.21.1-193.1-c1 has conductor ideal $(-3w-14)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+{x}$.
21
193.1-b1:
0.38494037931814660606364137733843647
comment: LMFDB curve 2.2.21.1-193.1-b1 has conductor ideal $(-3w-14)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}-w{x}-4w+9$.
21
193.2-c1:
0.20814684850107355632539146774456773
comment: LMFDB curve 2.2.21.1-193.2-c1 has conductor ideal $(3w-17)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+{x}$.
21
193.2-b1:
0.38494037931814660606364137733843647
comment: LMFDB curve 2.2.21.1-193.2-b1 has conductor ideal $(3w-17)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}+\left(2w+4\right){x}+5w+9$.
21
204.1-b1:
0.14449432543249502970387175428315510
comment: LMFDB curve 2.2.21.1-204.1-b1 has conductor ideal $(2w+14)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(w+2\right){x}$.
21
204.1-c1:
0.079376870047865748899179764123419631
comment: LMFDB curve 2.2.21.1-204.1-c1 has conductor ideal $(2w+14)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(3w-3\right){x}+3w-6$.
21
204.2-b1:
0.14449432543249502970387175428315510
comment: LMFDB curve 2.2.21.1-204.2-b1 has conductor ideal $(2w-16)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}-{x}-2$.
21
204.2-c1:
0.079376870047865748899179764123419631
comment: LMFDB curve 2.2.21.1-204.2-c1 has conductor ideal $(2w-16)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-w-2\right){x}-w-2$.
21
215.1-b1:
0.073792276627757254650435676629692503
comment: LMFDB curve 2.2.21.1-215.1-b1 has conductor ideal $(-8w+15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(7w-27\right){x}+36w-104$.
21
215.1-b2:
0.22137682988327176395130702988907750
comment: LMFDB curve 2.2.21.1-215.1-b2 has conductor ideal $(-8w+15)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}-{x}^{2}$.
21
215.4-b1:
0.073792276627757254650435676629692503
comment: LMFDB curve 2.2.21.1-215.4-b1 has conductor ideal $(8w+7)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(-9w-18\right){x}-37w-67$.
21
215.4-b2:
0.22137682988327176395130702988907750
comment: LMFDB curve 2.2.21.1-215.4-b2 has conductor ideal $(8w+7)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}-2w{x}-w$.
21
225.2-d1:
0.24706172669658836432795406758449629
comment: LMFDB curve 2.2.21.1-225.2-d1 has conductor ideal $(3w+15)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(15w-42\right){x}-63w+176$.
21
225.2-d2:
1.7294320868761185502956784730914740
comment: LMFDB curve 2.2.21.1-225.2-d2 has conductor ideal $(3w+15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}-3{x}-3w-8$.
21
225.2-d3:
0.12353086334829418216397703379224814
comment: LMFDB curve 2.2.21.1-225.2-d3 has conductor ideal $(3w+15)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(255w-717\right){x}-3441w+9611$.
21
225.2-d4:
0.86471604343805927514783923654573701
comment: LMFDB curve 2.2.21.1-225.2-d4 has conductor ideal $(3w+15)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(-15w-78\right){x}-117w-353$.
21
225.3-d1:
1.7294320868761185502956784730914740
comment: LMFDB curve 2.2.21.1-225.3-d1 has conductor ideal $(-3w+18)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}-3{x}+3w-11$.
21
225.3-d2:
0.24706172669658836432795406758449629
comment: LMFDB curve 2.2.21.1-225.3-d2 has conductor ideal $(-3w+18)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-15w-27\right){x}+63w+113$.
21
225.3-d3:
0.86471604343805927514783923654573701
comment: LMFDB curve 2.2.21.1-225.3-d3 has conductor ideal $(-3w+18)$, rank $1$, and equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(15w-93\right){x}+117w-470$.
21
225.3-d4:
0.12353086334829418216397703379224814
comment: LMFDB curve 2.2.21.1-225.3-d4 has conductor ideal $(-3w+18)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-255w-462\right){x}+3441w+6170$.
21
235.1-d1:
0.018862016472389651474220545807581630
comment: LMFDB curve 2.2.21.1-235.1-d1 has conductor ideal $(w+15)$, rank $2$, and equation ${y}^2+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-w-5\right){x}-7w-10$.
21
235.1-d2:
0.018862016472389651474220545807581630
comment: LMFDB curve 2.2.21.1-235.1-d2 has conductor ideal $(w+15)$, rank $2$, and equation ${y}^2+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-6w+20\right){x}-13w+35$.
21
235.1-c1:
0.061191022817274648053005400169834799
comment: LMFDB curve 2.2.21.1-235.1-c1 has conductor ideal $(w+15)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-2w-1\right){x}$.
21
235.1-b1:
0.18232557042691399087464861967575066
comment: LMFDB curve 2.2.21.1-235.1-b1 has conductor ideal $(w+15)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+{x}^{2}-2$.
21
235.2-a1:
1.3826229277436744331518471702173451
comment: LMFDB curve 2.2.21.1-235.2-a1 has conductor ideal $(-2w+17)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-14w-28\right){x}-231w-415$.
21
235.2-a2:
4.1478687832310232994555415106520353
comment: LMFDB curve 2.2.21.1-235.2-a2 has conductor ideal $(-2w+17)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(121w-335\right){x}+1224w-3413$.
21
235.2-a3:
2.0739343916155116497277707553260176
comment: LMFDB curve 2.2.21.1-235.2-a3 has conductor ideal $(-2w+17)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(6w-20\right){x}+25w-69$.
21
235.2-a4:
0.69131146387183721657592358510867255
comment: LMFDB curve 2.2.21.1-235.2-a4 has conductor ideal $(-2w+17)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-24w-43\right){x}-174w-312$.
21
235.2-b1:
1.4584107766286744401982082895935784
comment: LMFDB curve 2.2.21.1-235.2-b1 has conductor ideal $(-2w+17)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(12w-38\right){x}-24w+73$.
21
235.2-b2:
0.48613692554289148006606942986452613
comment: LMFDB curve 2.2.21.1-235.2-b2 has conductor ideal $(-2w+17)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(25w+20\right){x}-143w-206$.
21
235.2-b3:
0.24306846277144574003303471493226306
comment: LMFDB curve 2.2.21.1-235.2-b3 has conductor ideal $(-2w+17)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-10w-20\right){x}-66w-118$.
21
235.2-b4:
0.72920538831433722009910414479678920
comment: LMFDB curve 2.2.21.1-235.2-b4 has conductor ideal $(-2w+17)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-3w+2\right){x}-3w+12$.
21
235.3-a1:
2.0739343916155116497277707553260176
comment: LMFDB curve 2.2.21.1-235.3-a1 has conductor ideal $(2w+15)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-7w-14\right){x}-26w-44$.
21
235.3-a2:
0.69131146387183721657592358510867255
comment: LMFDB curve 2.2.21.1-235.3-a2 has conductor ideal $(2w+15)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(27w-73\right){x}+103w-287$.
21
235.3-a3:
1.3826229277436744331518471702173451
comment: LMFDB curve 2.2.21.1-235.3-a3 has conductor ideal $(2w+15)$, rank $1$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(17w-48\right){x}+185w-522$.
21
235.3-a4:
4.1478687832310232994555415106520353
comment: LMFDB curve 2.2.21.1-235.3-a4 has conductor ideal $(2w+15)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-122w-214\right){x}-1225w-2189$.
21
235.3-b1:
0.24306846277144574003303471493226306
comment: LMFDB curve 2.2.21.1-235.3-b1 has conductor ideal $(2w+15)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(14w-37\right){x}+32w-89$.
21
235.3-b2:
0.72920538831433722009910414479678920
comment: LMFDB curve 2.2.21.1-235.3-b2 has conductor ideal $(2w+15)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+w{x}^{2}+2w{x}+2w+10$.
21
235.3-b3:
1.4584107766286744401982082895935784
comment: LMFDB curve 2.2.21.1-235.3-b3 has conductor ideal $(2w+15)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-13w-25\right){x}+23w+50$.
21
235.3-b4:
0.48613692554289148006606942986452613
comment: LMFDB curve 2.2.21.1-235.3-b4 has conductor ideal $(2w+15)$, rank $1$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-21w+38\right){x}+184w-504$.
21
235.4-d1:
0.018862016472389651474220545807581630
comment: LMFDB curve 2.2.21.1-235.4-d1 has conductor ideal $(w-16)$, rank $2$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(3w-7\right){x}+4w-10$.
21
235.4-d2:
0.018862016472389651474220545807581630
comment: LMFDB curve 2.2.21.1-235.4-d2 has conductor ideal $(w-16)$, rank $2$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(8w+13\right){x}+19w+35$.
21
235.4-c1:
0.061191022817274648053005400169834799
comment: LMFDB curve 2.2.21.1-235.4-c1 has conductor ideal $(w-16)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(2w-3\right){x}-w$.
21
235.4-b1:
0.18232557042691399087464861967575066
comment: LMFDB curve 2.2.21.1-235.4-b1 has conductor ideal $(w-16)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+{x}^{2}-w-2$.
21
240.1-a1:
0.54429154243398281709658821343079243
comment: LMFDB curve 2.2.21.1-240.1-a1 has conductor ideal $(4w+16)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(143w-408\right){x}-1484w+4156$.
21
240.1-a2:
0.18143051414466093903219607114359747
comment: LMFDB curve 2.2.21.1-240.1-a2 has conductor ideal $(4w+16)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(3w-8\right){x}$.
21
240.1-a3:
0.36286102828932187806439214228719495
comment: LMFDB curve 2.2.21.1-240.1-a3 has conductor ideal $(4w+16)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-12w+32\right){x}+12w-32$.
21
240.1-a4:
1.0885830848679656341931764268615848
comment: LMFDB curve 2.2.21.1-240.1-a4 has conductor ideal $(4w+16)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(108w-448\right){x}-1428w+4720$.
21
240.1-b1:
3.0737529269433917982416641397351981
comment: LMFDB curve 2.2.21.1-240.1-b1 has conductor ideal $(4w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w-1\right){x}^{2}+\left(-40w-98\right){x}-277w-530$.
21
240.1-b2:
1.0245843089811305994138880465783993
comment: LMFDB curve 2.2.21.1-240.1-b2 has conductor ideal $(4w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w-1\right){x}^{2}+2{x}-w-2$.
21
240.1-b3:
2.0491686179622611988277760931567987
comment: LMFDB curve 2.2.21.1-240.1-b3 has conductor ideal $(4w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w-1\right){x}^{2}+\left(-10w-13\right){x}-27w-51$.
21
240.1-b4:
6.1475058538867835964833282794703962
comment: LMFDB curve 2.2.21.1-240.1-b4 has conductor ideal $(4w+16)$, rank $1$, and equation ${y}^2={x}^{3}+\left(w-1\right){x}^{2}+\left(-730w-1333\right){x}-16875w-30267$.
21
240.2-a1:
1.0885830848679656341931764268615848
comment: LMFDB curve 2.2.21.1-240.2-a1 has conductor ideal $(-4w+20)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-108w-340\right){x}+1428w+3292$.
21
240.2-a2:
0.36286102828932187806439214228719495
comment: LMFDB curve 2.2.21.1-240.2-a2 has conductor ideal $(-4w+20)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(12w+20\right){x}-12w-20$.
21
240.2-a3:
0.18143051414466093903219607114359747
comment: LMFDB curve 2.2.21.1-240.2-a3 has conductor ideal $(-4w+20)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-3w-5\right){x}$.
21
240.2-a4:
0.54429154243398281709658821343079243
comment: LMFDB curve 2.2.21.1-240.2-a4 has conductor ideal $(-4w+20)$, rank $1$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-143w-265\right){x}+1484w+2672$.
21
240.2-b1:
6.1475058538867835964833282794703962
comment: LMFDB curve 2.2.21.1-240.2-b1 has conductor ideal $(-4w+20)$, rank $1$, and equation ${y}^2={x}^{3}-w{x}^{2}+\left(730w-2063\right){x}+16875w-47142$.
21
240.2-b2:
2.0491686179622611988277760931567987
comment: LMFDB curve 2.2.21.1-240.2-b2 has conductor ideal $(-4w+20)$, rank $1$, and equation ${y}^2={x}^{3}-w{x}^{2}+\left(10w-23\right){x}+27w-78$.
21
240.2-b3:
1.0245843089811305994138880465783993
comment: LMFDB curve 2.2.21.1-240.2-b3 has conductor ideal $(-4w+20)$, rank $1$, and equation ${y}^2={x}^{3}-w{x}^{2}+2{x}+w-3$.
21
240.2-b4:
3.0737529269433917982416641397351981
comment: LMFDB curve 2.2.21.1-240.2-b4 has conductor ideal $(-4w+20)$, rank $1$, and equation ${y}^2={x}^{3}-w{x}^{2}+\left(40w-138\right){x}+277w-807$.
21
249.1-h1:
1.2871373461513189933672303503923093
comment: LMFDB curve 2.2.21.1-249.1-h1 has conductor ideal $(5w+17)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-7w+20\right){x}+3w-12$.
21
249.1-h2:
0.18387676373590271333817576434175848
comment: LMFDB curve 2.2.21.1-249.1-h2 has conductor ideal $(5w+17)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(30w+35\right){x}+36664w+65714$.
21
249.1-d1:
0.22497440278455614730380363662494493
comment: LMFDB curve 2.2.21.1-249.1-d1 has conductor ideal $(5w+17)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+{x}-w-1$.
21
249.1-f1:
0.30559662478867618860356294484410094
comment: LMFDB curve 2.2.21.1-249.1-f1 has conductor ideal $(5w+17)$, rank $2$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(w-2\right){x}$.
21
249.1-f2:
0.076399156197169047150890736211025236
comment: LMFDB curve 2.2.21.1-249.1-f2 has conductor ideal $(5w+17)$, rank $2$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(6w-17\right){x}-18w+50$.
21
249.1-a1:
0.62848799082467768091218882503469628
comment: LMFDB curve 2.2.21.1-249.1-a1 has conductor ideal $(5w+17)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-24w-42\right){x}+9w+17$.
21
249.1-a2:
1.2569759816493553618243776500693925
comment: LMFDB curve 2.2.21.1-249.1-a2 has conductor ideal $(5w+17)$, rank $1$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-19w-32\right){x}+53w+94$.
21
249.1-g1:
0.33965851399184939983538912008429748
comment: LMFDB curve 2.2.21.1-249.1-g1 has conductor ideal $(5w+17)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}-w{x}^{2}+{x}$.
21
249.1-b1:
2.0453165555472427955100810809082843
comment: LMFDB curve 2.2.21.1-249.1-b1 has conductor ideal $(5w+17)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-3w-3\right){x}+6w+12$.
21
249.1-b2:
14.317215888830699568570567566357990
comment: LMFDB curve 2.2.21.1-249.1-b2 has conductor ideal $(5w+17)$, rank $1$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(97w-263\right){x}+491w-2908$.
21
249.1-e1:
0.14754518875618809562105554157680938
comment: LMFDB curve 2.2.21.1-249.1-e1 has conductor ideal $(5w+17)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(9w-30\right){x}+15w-46$.
21
249.1-e2:
0.29509037751237619124211108315361877
comment: LMFDB curve 2.2.21.1-249.1-e2 has conductor ideal $(5w+17)$, rank $1$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(4w-15\right){x}-9w+20$.
21
249.2-d1:
0.22497440278455614730380363662494493
comment: LMFDB curve 2.2.21.1-249.2-d1 has conductor ideal $(5w-22)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+w{x}^{2}+{x}-1$.
21
249.2-h1:
0.18387676373590271333817576434175848
comment: LMFDB curve 2.2.21.1-249.2-h1 has conductor ideal $(5w-22)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}-{x}^{2}+\left(-30w+65\right){x}-36665w+102379$.
21
249.2-h2:
1.2871373461513189933672303503923093
comment: LMFDB curve 2.2.21.1-249.2-h2 has conductor ideal $(5w-22)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+w{x}^{2}+\left(7w+13\right){x}-4w-8$.
21
249.2-f1:
0.30559662478867618860356294484410094
comment: LMFDB curve 2.2.21.1-249.2-f1 has conductor ideal $(5w-22)$, rank $2$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-w-1\right){x}$.
21
249.2-f2:
0.076399156197169047150890736211025236
comment: LMFDB curve 2.2.21.1-249.2-f2 has conductor ideal $(5w-22)$, rank $2$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-6w-11\right){x}+18w+32$.
21
249.2-a1:
0.62848799082467768091218882503469628
comment: LMFDB curve 2.2.21.1-249.2-a1 has conductor ideal $(5w-22)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(23w-66\right){x}-10w+26$.
21
249.2-a2:
1.2569759816493553618243776500693925
comment: LMFDB curve 2.2.21.1-249.2-a2 has conductor ideal $(5w-22)$, rank $1$, and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(18w-51\right){x}-54w+147$.
21
249.2-b1:
14.317215888830699568570567566357990
comment: LMFDB curve 2.2.21.1-249.2-b1 has conductor ideal $(5w-22)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-97w-166\right){x}-492w-2416$.
21
249.2-b2:
2.0453165555472427955100810809082843
comment: LMFDB curve 2.2.21.1-249.2-b2 has conductor ideal $(5w-22)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(3w-6\right){x}-7w+19$.
21
249.2-g1:
0.33965851399184939983538912008429748
comment: LMFDB curve 2.2.21.1-249.2-g1 has conductor ideal $(5w-22)$, rank $1$, and equation ${y}^2+w{y}={x}^{3}+\left(w-1\right){x}^{2}+{x}-w+1$.
21
249.2-e1:
0.14754518875618809562105554157680938
comment: LMFDB curve 2.2.21.1-249.2-e1 has conductor ideal $(5w-22)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-10w-21\right){x}-15w-31$.
21
249.2-e2:
0.29509037751237619124211108315361877
comment: LMFDB curve 2.2.21.1-249.2-e2 has conductor ideal $(5w-22)$, rank $1$, and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-5w-11\right){x}+9w+11$.
Definition
Let $K=\mathbb{Q}(\sqrt{D})$ and let $E/K$ be an LMFDB-labelled elliptic curve of positive Mordell-Weil rank $r$. This table gives the regulator $R_{E/K}$, the determinant of the absolute Néron-Tate height pairing on $E(K)$ modulo torsion.
Parameters
$D$
—   field discriminant (positive fundamental discriminant)
label
—   LMFDB curve label, without the field prefix (the LMFDB curve label with the field label $2.2.D.1$ removed: 31.1-a1 for the curve 2.2.5.1-31.1-a1)
Formulas
(1)
The Birch and Swinnerton-Dyer formula [3], with the $L$-function normalised as in the Definition, is $L^*(E/K,1)=2^r\Omega_{E/K}R_{E/K}|\operatorname{Sha}(E/K)| \prod_{\mathfrak p}c_{\mathfrak p}/(|E(K)_{\mathrm{tors}}|^2\sqrt{D})$. Here $L^*(E/K,1)=L^{(r)}(E/K,1)/r!$ and the order of vanishing is $r$, as the conjecture predicts; $\Omega_{E/K}$ is the product, over the two real embeddings of $K$, of the real period of $E$ times the number of connected components of $E(\mathbb{R})$ at that embedding; $R_{E/K}$ is the regulator for the absolute Néron-Tate height; $\operatorname{Sha}(E/K)$ is the Tate-Shafarevich group; and $c_{\mathfrak p}$ is the Tamagawa number at $\mathfrak p$.
Comments
(2)
The label of a row is the LMFDB [2] curve label with the field label removed: the row with $D=12$ and label 47.1-b1 is the curve 2.2.12.1-47.1-b1, where 47.1 labels the conductor ideal, of norm $47$, b is the isogeny class and 1 the curve in it. There is one row per curve rather than one row per isogeny class, since the regulator is attached to the Mordell-Weil lattice of the curve. A curve and its Galois conjugate have the same regulator, so over $D=13$ the rows whose conductor ideals are labelled 51.2 and 51.3 repeat one another with the curve numbers exchanged. Curves in one isogeny class have regulators in a rational ratio; in the class 17.1-a over $D=17$ the ratios are powers of $2$.
(3)
The generator $w$ of $K$ follows the LMFDB [2] convention used in ecnf-data [1]: it satisfies $w^2-w-1=0$ for $D=5$, $w^2-2=0$ for $D=8$, $w^2-3=0$ for $D=12$, $w^2-w-3=0$ for $D=13$, $w^2-w-4=0$ for $D=17$, and $w^2-w-5=0$ for $D=21$.
(4)
Rank $0$ curves are not listed; their regulator is the determinant of the empty height-pairing matrix, so it is $1$.
(5)
The height pairing is absolute. In PARI, ellheightmatrix over a quadratic field gives twice this height; the ecnf-data reg field and this table use the absolute convention that appears in (1).
(6)
If $P_1,\dots,P_r$ is a basis of $E(K)$ modulo torsion, then $R_{E/K}=\det(\langle P_i,P_j\rangle)_{1\leq i,j\leq r}$; changing the basis does not change this determinant.
(7)
In the pinned ecnf-data source, the smallest conductor norm among positive-rank curves is $199$ over $D=5$ and $103$ over $D=8$, so the bound of $250$ leaves $17$ rows over $D=5$ and $348$ over $D=21$.
Links
Similar tables
Regulators of elliptic curves over $\mathbb{Q}$ of rank $1$ —   the same height-pairing regulator for elliptic curves over $\mathbb{Q}$ of rank $1$
Regulators of elliptic curves over $\mathbb{Q}$ of rank $2$ —   the same height-pairing regulator for elliptic curves over $\mathbb{Q}$ of rank $2$
Regulators of elliptic curves over $\mathbb{Q}$ of rank $3$ —   the same height-pairing regulator for elliptic curves over $\mathbb{Q}$ of rank $3$
Special $L$-values of elliptic curves over real quadratic fields —   the $L^*(E/K,1)$ side of the Birch and Swinnerton-Dyer formula for elliptic curves from the same ecnf-data source
Regulators of real quadratic fields —   a different regulator, of the unit group of the base field
Data properties
Entries are of type: real number
Sources of data: [1]
Table is complete: no (it holds every positive-rank curve in ecnf-data over the six real quadratic fields of smallest discriminant, $D\in\{5,8,12,13,17,21\}$, with conductor norm at most $250$; the cutoff has to be at least $199$ for $\mathbb{Q}(\sqrt5)$ to be represented, since that is the smallest conductor norm at which ecnf-data has a positive-rank curve over $D=5$; this reaches the first curves of rank $2$ among those fields, at conductor norm $235$ over $D=21$, and the same source gives $1213$ entries at conductor norm $N\leq255$, exceeding the $1200$-entry soft limit)
How they were obtained:

Entries are transcribed from the ecnf-data reg field at commit 10b28418e80392032b106ea00e6c5aa109d28e7b and kept to $35$ significant digits, because equality checks among Galois-conjugate curves and same-regulator curves in this table show that the final source digits are not stable.

more

The rows over $D\in\{5,8,12,13,17\}$ all have rank $1$; over $D=21$ the table includes rank $1$ and rank $2$ curves. For rank $1$ rows, the regulator is checked against the source height of the recorded generator. For the rank $2$ rows over $D=21$, the determinant of the height-pairing matrix was recomputed in Sage from the recorded generators and equations and compared with the source regulator at Sage's ordinary height-computation precision. The generator also checks that the Birch and Swinnerton-Dyer quotient in (1) gives $|\operatorname{Sha}(E/K)|$, the analytic order of the Tate-Shafarevich group recorded by ecnf-data for each source row.