History of Regulators of elliptic curves over real quadratic fields

who	what
2026-09-17 13:36	bmatschke	one parameter `label` for conductor, class and curve. The column called conductor held `31.1`, a part of the LMFDB label, not the conductor (an ideal of norm 31). Rows are now addressed by the label without the field prefix, `31.1-a1`. Maintainer commit: no entry here was cited.	current reviewed
2026-09-17 08:13	zeta3	repair T293 critique: omit rank-zero rows and tighten regulator prose/digits
2026-09-17 08:11	zeta3	repair T293 critique: omit rank-zero rows and tighten regulator prose/digits
2026-09-17 08:10	zeta3	repair T293 critique: omit rank-zero rows and tighten regulator prose/digits
2026-09-17 07:52	zeta3	set measured range and regulator checks
2026-09-17 07:51	zeta3 with codex	elliptic-curve regulators over real quadratic fields from ecnf-data commit 10b28418e803 for conductor norm <= 60
2026-09-17 07:41	zeta3	claim real-quadratic elliptic regulator draft
from line 90 (4683 lines, 4681 more than before) @@ -90,2 +90,4683 @@
   - - class   - - curve+Numbers:+- params:+    D: '5'+    conductor: '31.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.5.1-31.1-a1 has conductor ideal $(5*w-2)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+w{x}$.+- params:+    D: '5'+    conductor: '31.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.5.1-31.1-a2 has conductor ideal $(5*w-2)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(133w-141\right){x}+737w-764$.+- params:+    D: '5'+    conductor: '31.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.5.1-31.1-a3 has conductor ideal $(5*w-2)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-12w-21\right){x}+42w+10$.+- params:+    D: '5'+    conductor: '31.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.5.1-31.1-a4 has conductor ideal $(5*w-2)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(31w-75\right){x}+141w-303$.+- params:+    D: '5'+    conductor: '31.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.5.1-31.1-a5 has conductor ideal $(5*w-2)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w-5\right){x}+3w-5$.+- params:+    D: '5'+    conductor: '31.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.5.1-31.1-a6 has conductor ideal $(5*w-2)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-18w+15\right){x}+171w-265$.+- params:+    D: '5'+    conductor: '31.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.5.1-31.2-a1 has conductor ideal $(5*w-3)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-30w-45\right){x}-111w-117$.+- params:+    D: '5'+    conductor: '31.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.5.1-31.2-a2 has conductor ideal $(5*w-3)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(16w-2\right){x}-172w-94$.+- params:+    D: '5'+    conductor: '31.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.5.1-31.2-a3 has conductor ideal $(5*w-3)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}$.+- params:+    D: '5'+    conductor: '31.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.5.1-31.2-a4 has conductor ideal $(5*w-3)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}-5{x}-3w+3$.+- params:+    D: '5'+    conductor: '31.2'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.5.1-31.2-a5 has conductor ideal $(5*w-3)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(10w-32\right){x}-43w+53$.+- params:+    D: '5'+    conductor: '31.2'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.5.1-31.2-a6 has conductor ideal $(5*w-3)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-135w-7\right){x}-738w-26$.+- params:+    D: '5'+    conductor: '36.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.5.1-36.1-a1 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+w{x}^{2}$.+- params:+    D: '5'+    conductor: '36.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.5.1-36.1-a2 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-5w-5\right){x}-51w-37$.+- params:+    D: '5'+    conductor: '36.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.5.1-36.1-a3 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(165w-331\right){x}+1352w-2408$.+- params:+    D: '5'+    conductor: '36.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.5.1-36.1-a4 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(10w-21\right){x}-31w+51$.+- params:+    D: '5'+    conductor: '41.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.5.1-41.1-a1 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+w{y}={x}^{3}-w{x}^{2}$.+- params:+    D: '5'+    conductor: '41.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.5.1-41.1-a2 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+w{y}={x}^{3}-w{x}^{2}+\left(10w-40\right){x}+31w-113$.+- params:+    D: '5'+    conductor: '41.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.5.1-41.2-a1 has conductor ideal $(w-7)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-10w-30\right){x}-32w-82$.+- params:+    D: '5'+    conductor: '41.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.5.1-41.2-a2 has conductor ideal $(w-7)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}-w$.+- params:+    D: '5'+    conductor: '45.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.5.1-45.1-a1 has conductor ideal $(-6*w+3)$, rank $0$, and+    equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-4364w-7739\right){x}-255406w-296465$.+- params:+    D: '5'+    conductor: '45.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.5.1-45.1-a2 has conductor ideal $(-6*w+3)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-110{x}-880$.+- params:+    D: '5'+    conductor: '45.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.5.1-45.1-a3 has conductor ideal $(-6*w+3)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}$.+- params:+    D: '5'+    conductor: '45.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.5.1-45.1-a4 has conductor ideal $(-6*w+3)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+35{x}-28$.+- params:+    D: '5'+    conductor: '45.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.5.1-45.1-a5 has conductor ideal $(-6*w+3)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-10{x}-10$.+- params:+    D: '5'+    conductor: '45.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.5.1-45.1-a6 has conductor ideal $(-6*w+3)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-5{x}+2$.+- params:+    D: '5'+    conductor: '45.1'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.5.1-45.1-a7 has conductor ideal $(-6*w+3)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-135{x}-660$.+- params:+    D: '5'+    conductor: '45.1'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.5.1-45.1-a8 has conductor ideal $(-6*w+3)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-80{x}+242$.+- params:+    D: '5'+    conductor: '45.1'+    class: a+    curve: '9'+  number: '1'+  comment: LMFDB curve 2.2.5.1-45.1-a9 has conductor ideal $(-6*w+3)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-2160{x}-39540$.+- params:+    D: '5'+    conductor: '45.1'+    class: a+    curve: '10'+  number: '1'+  comment: LMFDB curve 2.2.5.1-45.1-a10 has conductor ideal $(-6*w+3)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(4364w-12105\right){x}+243301w-535402$.+- params:+    D: '5'+    conductor: '49.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.5.1-49.1-a1 has conductor ideal $(7)$, rank $0$, and equation+    ${y}^2+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-30w-29\right){x}-102w-84$.+- params:+    D: '5'+    conductor: '49.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.5.1-49.1-a2 has conductor ideal $(7)$, rank $0$, and equation+    ${y}^2+{y}={x}^{3}+w{x}^{2}+{x}$.+- params:+    D: '5'+    conductor: '55.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.5.1-55.1-a1 has conductor ideal $(w+7)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(9w-25\right){x}-6w+44$.+- params:+    D: '5'+    conductor: '55.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.5.1-55.1-a2 has conductor ideal $(w+7)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+54w{x}-374w-198$.+- params:+    D: '5'+    conductor: '55.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.5.1-55.1-a3 has conductor ideal $(w+7)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}-w$.+- params:+    D: '5'+    conductor: '55.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.5.1-55.1-a4 has conductor ideal $(w+7)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-21w-25\right){x}-54w-58$.+- params:+    D: '5'+    conductor: '55.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.5.1-55.1-a5 has conductor ideal $(w+7)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-16w-210\right){x}+1110w-534$.+- params:+    D: '5'+    conductor: '55.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.5.1-55.1-a6 has conductor ideal $(w+7)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(4w-11\right){x}-9w+13$.+- params:+    D: '5'+    conductor: '55.1'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.5.1-55.1-a7 has conductor ideal $(w+7)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-6w-1\right){x}+w-17$.+- params:+    D: '5'+    conductor: '55.1'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.5.1-55.1-a8 has conductor ideal $(w+7)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-6w-26\right){x}+28w+8$.+- params:+    D: '5'+    conductor: '55.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.5.1-55.2-a1 has conductor ideal $(-w+8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}-w{x}$.+- params:+    D: '5'+    conductor: '55.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.5.1-55.2-a2 has conductor ideal $(-w+8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(4w-5\right){x}-2w-15$.+- params:+    D: '5'+    conductor: '55.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.5.1-55.2-a3 has conductor ideal $(-w+8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(4w-30\right){x}-29w+37$.+- params:+    D: '5'+    conductor: '55.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.5.1-55.2-a4 has conductor ideal $(-w+8)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-54w+54\right){x}+374w-572$.+- params:+    D: '5'+    conductor: '55.2'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.5.1-55.2-a5 has conductor ideal $(-w+8)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(21w-46\right){x}+54w-112$.+- params:+    D: '5'+    conductor: '55.2'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.5.1-55.2-a6 has conductor ideal $(-w+8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-6w-5\right){x}+8w+5$.+- params:+    D: '5'+    conductor: '55.2'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.5.1-55.2-a7 has conductor ideal $(-w+8)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(16w-226\right){x}-1110w+576$.+- params:+    D: '5'+    conductor: '55.2'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.5.1-55.2-a8 has conductor ideal $(-w+8)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-9w-16\right){x}+6w+38$.+- params:+    D: '8'+    conductor: '9.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-9.1-a1 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-40w-60\right){x}-153w-220$.+- params:+    D: '8'+    conductor: '9.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-9.1-a2 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}$.+- params:+    D: '8'+    conductor: '9.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.8.1-9.1-a3 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-2w-3\right){x}$.+- params:+    D: '8'+    conductor: '9.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.8.1-9.1-a4 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-162w-243\right){x}-1495w-2130$.+- params:+    D: '8'+    conductor: '17.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-17.1-a1 has conductor ideal $(-3*w-1)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-2w+1\right){x}-w$.+- params:+    D: '8'+    conductor: '17.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-17.1-a2 has conductor ideal $(-3*w-1)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(13w-19\right){x}+47w-69$.+- params:+    D: '8'+    conductor: '17.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.8.1-17.1-a3 has conductor ideal $(-3*w-1)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-34w-53\right){x}-113w-163$.+- params:+    D: '8'+    conductor: '17.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.8.1-17.1-a4 has conductor ideal $(-3*w-1)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w-1\right){x}-1$.+- params:+    D: '8'+    conductor: '17.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-17.2-a1 has conductor ideal $(3*w-1)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-14w-19\right){x}-48w-69$.+- params:+    D: '8'+    conductor: '17.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-17.2-a2 has conductor ideal $(3*w-1)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w+1\right){x}$.+- params:+    D: '8'+    conductor: '17.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.8.1-17.2-a3 has conductor ideal $(3*w-1)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-2w-1\right){x}-w-1$.+- params:+    D: '8'+    conductor: '17.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.8.1-17.2-a4 has conductor ideal $(3*w-1)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(33w-53\right){x}+112w-163$.+- params:+    D: '8'+    conductor: '28.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-28.1-a1 has conductor ideal $(-4*w+2)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-9w-18\right){x}-320w-467$.+- params:+    D: '8'+    conductor: '28.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-28.1-a2 has conductor ideal $(-4*w+2)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(w+2\right){x}+12w+17$.+- params:+    D: '8'+    conductor: '28.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.8.1-28.1-a3 has conductor ideal $(-4*w+2)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-19w-148\right){x}+318w-201$.+- params:+    D: '8'+    conductor: '28.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.8.1-28.1-a4 has conductor ideal $(-4*w+2)$, rank $0$, and+    equation ${y}^2={x}^{3}-{x}^{2}+\left(-2w+3\right){x}$.+- params:+    D: '8'+    conductor: '28.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.8.1-28.1-a5 has conductor ideal $(-4*w+2)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(2w-4\right){x}-w+1$.+- params:+    D: '8'+    conductor: '28.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.8.1-28.1-a6 has conductor ideal $(-4*w+2)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-34w-53\right){x}-133w-203$.+- params:+    D: '8'+    conductor: '28.1'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.8.1-28.1-a7 has conductor ideal $(-4*w+2)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(17w-29\right){x}+49w-66$.+- params:+    D: '8'+    conductor: '28.1'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.8.1-28.1-a8 has conductor ideal $(-4*w+2)$, rank $0$, and+    equation ${y}^2={x}^{3}-{x}^{2}+\left(18w-37\right){x}+68w-108$.+- params:+    D: '8'+    conductor: '28.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-28.2-a1 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2={x}^{3}-{x}^{2}+\left(-18w-37\right){x}-68w-108$.+- params:+    D: '8'+    conductor: '28.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-28.2-a2 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2={x}^{3}-{x}^{2}+\left(2w+3\right){x}$.+- params:+    D: '8'+    conductor: '28.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.8.1-28.2-a3 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(-2w-4\right){x}+w+1$.+- params:+    D: '8'+    conductor: '28.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.8.1-28.2-a4 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(9w-18\right){x}+320w-467$.+- params:+    D: '8'+    conductor: '28.2'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.8.1-28.2-a5 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(-17w-29\right){x}-49w-66$.+- params:+    D: '8'+    conductor: '28.2'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.8.1-28.2-a6 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-w+2\right){x}-12w+17$.+- params:+    D: '8'+    conductor: '28.2'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.8.1-28.2-a7 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(34w-53\right){x}+133w-203$.+- params:+    D: '8'+    conductor: '28.2'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.8.1-28.2-a8 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(19w-148\right){x}-318w-201$.+- params:+    D: '8'+    conductor: '31.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-31.1-a1 has conductor ideal $(-4*w-1)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-7w-21\right){x}-31w-52$.+- params:+    D: '8'+    conductor: '31.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-31.1-a2 has conductor ideal $(-4*w-1)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-2w-1\right){x}-w-2$.+- params:+    D: '8'+    conductor: '31.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.8.1-31.1-a3 has conductor ideal $(-4*w-1)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(10w-14\right){x}+21w-30$.+- params:+    D: '8'+    conductor: '31.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.8.1-31.1-a4 has conductor ideal $(-4*w-1)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(25w-49\right){x}-79w+100$.+- params:+    D: '8'+    conductor: '31.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-31.2-a1 has conductor ideal $(4*w-1)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}$.+- params:+    D: '8'+    conductor: '31.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-31.2-a2 has conductor ideal $(4*w-1)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-25w-49\right){x}+79w+100$.+- params:+    D: '8'+    conductor: '31.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.8.1-31.2-a3 has conductor ideal $(4*w-1)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-10w-14\right){x}-21w-30$.+- params:+    D: '8'+    conductor: '31.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.8.1-31.2-a4 has conductor ideal $(4*w-1)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(5w-20\right){x}+10w-40$.+- params:+    D: '8'+    conductor: '32.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-32.1-a1 has conductor ideal $(4*w)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+{x}^{2}+\left(15w-22\right){x}+46w-69$.+- params:+    D: '8'+    conductor: '32.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-32.1-a2 has conductor ideal $(4*w)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(15w-23\right){x}-31w+46$.+- params:+    D: '8'+    conductor: '32.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.8.1-32.1-a3 has conductor ideal $(4*w)$, rank $0$, and+    equation ${y}^2={x}^{3}+{x}$.+- params:+    D: '8'+    conductor: '32.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.8.1-32.1-a4 has conductor ideal $(4*w)$, rank $0$, and+    equation ${y}^2={x}^{3}-{x}$.+- params:+    D: '8'+    conductor: '32.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.8.1-32.1-a5 has conductor ideal $(4*w)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+{x}^{2}-2{x}-3$.+- params:+    D: '8'+    conductor: '32.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.8.1-32.1-a6 has conductor ideal $(4*w)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+{x}^{2}-3{x}$.+- params:+    D: '8'+    conductor: '32.1'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.8.1-32.1-a7 has conductor ideal $(4*w)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+{x}^{2}+\left(-15w-22\right){x}-46w-69$.+- params:+    D: '8'+    conductor: '32.1'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.8.1-32.1-a8 has conductor ideal $(4*w)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(-15w-23\right){x}+31w+46$.+- params:+    D: '8'+    conductor: '34.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-34.1-a1 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-16w+19\right){x}-25w+31$.+- params:+    D: '8'+    conductor: '34.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-34.1-a2 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(2w+4\right){x}$.+- params:+    D: '8'+    conductor: '34.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.8.1-34.1-a3 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-8w-16\right){x}-10w-4$.+- params:+    D: '8'+    conductor: '34.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.8.1-34.1-a4 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(64w-141\right){x}-457w+479$.+- params:+    D: '8'+    conductor: '34.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-34.2-a1 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-2w+4\right){x}$.+- params:+    D: '8'+    conductor: '34.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-34.2-a2 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(15w+20\right){x}+44w+62$.+- params:+    D: '8'+    conductor: '34.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.8.1-34.2-a3 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-65w-140\right){x}+316w+350$.+- params:+    D: '8'+    conductor: '34.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.8.1-34.2-a4 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(8w-16\right){x}+10w-4$.+- params:+    D: '8'+    conductor: '46.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-46.1-a1 has conductor ideal $(-5*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(15w-24\right){x}+46w-66$.+- params:+    D: '8'+    conductor: '46.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-46.1-a2 has conductor ideal $(-5*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+{x}-1$.+- params:+    D: '8'+    conductor: '46.1'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-46.1-b1 has conductor ideal $(-5*w+2)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-947w-1473\right){x}-20242w-29187$.+- params:+    D: '8'+    conductor: '46.1'+    class: b+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-46.1-b2 has conductor ideal $(-5*w+2)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-2w-3\right){x}+2w+3$.+- params:+    D: '8'+    conductor: '46.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-46.2-a1 has conductor ideal $(-5*w-2)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-16w-24\right){x}-46w-66$.+- params:+    D: '8'+    conductor: '46.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-46.2-a2 has conductor ideal $(-5*w-2)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-w+1\right){x}-1$.+- params:+    D: '8'+    conductor: '46.2'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-46.2-b1 has conductor ideal $(-5*w-2)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(946w-1473\right){x}+20242w-29187$.+- params:+    D: '8'+    conductor: '46.2'+    class: b+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-46.2-b2 has conductor ideal $(-5*w-2)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(w-3\right){x}-2w+3$.+- params:+    D: '8'+    conductor: '47.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-47.1-a1 has conductor ideal $(w+7)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-2{x}-18w-27$.+- params:+    D: '8'+    conductor: '47.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-47.1-a2 has conductor ideal $(w+7)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-3\right){x}+w-3$.+- params:+    D: '8'+    conductor: '47.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-47.2-a1 has conductor ideal $(w-7)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-2w-3\right){x}-2w-3$.+- params:+    D: '8'+    conductor: '47.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-47.2-a2 has conductor ideal $(w-7)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-w-2\right){x}+18w-27$.+- params:+    D: '8'+    conductor: '49.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-49.1-a1 has conductor ideal $(7)$, rank $0$, and equation+    ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(389w-919\right){x}+7231w-12956$.+- params:+    D: '8'+    conductor: '49.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-49.1-a2 has conductor ideal $(7)$, rank $0$, and equation+    ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(4w-9\right){x}+14w-27$.+- params:+    D: '8'+    conductor: '49.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.8.1-49.1-a3 has conductor ideal $(7)$, rank $0$, and equation+    ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-w+1\right){x}$.+- params:+    D: '8'+    conductor: '49.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.8.1-49.1-a4 has conductor ideal $(7)$, rank $0$, and equation+    ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+{x}$.+- params:+    D: '8'+    conductor: '49.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.8.1-49.1-a5 has conductor ideal $(7)$, rank $0$, and equation+    ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-5w-9\right){x}-14w-27$.+- params:+    D: '8'+    conductor: '49.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.8.1-49.1-a6 has conductor ideal $(7)$, rank $0$, and equation+    ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-390w-919\right){x}-7231w-12956$.+- params:+    D: '8'+    conductor: '56.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-56.1-a1 has conductor ideal $(2*w+8)$, rank $0$, and+    equation ${y}^2={x}^{3}+\left(w+1\right){x}^{2}+\left(2w-1\right){x}-w+2$.+- params:+    D: '8'+    conductor: '56.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-56.1-a2 has conductor ideal $(2*w+8)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(105w+134\right){x}-86w-139$.+- params:+    D: '8'+    conductor: '56.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.8.1-56.1-a3 has conductor ideal $(2*w+8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(10w-17\right){x}+31w-44$.+- params:+    D: '8'+    conductor: '56.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.8.1-56.1-a4 has conductor ideal $(2*w+8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}-w{x}^{2}-2{x}+w-1$.+- params:+    D: '8'+    conductor: '56.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.8.1-56.1-a5 has conductor ideal $(2*w+8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}-w{x}^{2}-27{x}+21w-74$.+- params:+    D: '8'+    conductor: '56.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.8.1-56.1-a6 has conductor ideal $(2*w+8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-10w-7\right){x}+15w+20$.+- params:+    D: '8'+    conductor: '56.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.8.1-56.2-a1 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}-27{x}-21w-74$.+- params:+    D: '8'+    conductor: '56.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.8.1-56.2-a2 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(10w-7\right){x}-15w+20$.+- params:+    D: '8'+    conductor: '56.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.8.1-56.2-a3 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}-2{x}-w-1$.+- params:+    D: '8'+    conductor: '56.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.8.1-56.2-a4 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2={x}^{3}+\left(-w+1\right){x}^{2}+\left(-2w-1\right){x}+w+2$.+- params:+    D: '8'+    conductor: '56.2'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.8.1-56.2-a5 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-10w-17\right){x}-31w-44$.+- params:+    D: '8'+    conductor: '56.2'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.8.1-56.2-a6 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}-w{x}^{2}+\left(-105w+134\right){x}+86w-139$.+- params:+    D: '12'+    conductor: '9.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-9.1-a1 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(25w-45\right){x}+72w-127$.+- params:+    D: '12'+    conductor: '9.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-9.1-a2 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(25w-45\right){x}-117w+202$.+- params:+    D: '12'+    conductor: '9.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-9.1-a3 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}$.+- params:+    D: '12'+    conductor: '9.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-9.1-a4 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-7w+13\right){x}+6w-10$.+- params:+    D: '12'+    conductor: '9.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.12.1-9.1-a5 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(88w-152\right){x}+564w-977$.+- params:+    D: '12'+    conductor: '9.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.12.1-9.1-a6 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(88w-152\right){x}-717w+1242$.+- params:+    D: '12'+    conductor: '16.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-16.1-a1 has conductor ideal $(4)$, rank $0$, and equation+    ${y}^2={x}^{3}-w{x}^{2}+{x}-3w-5$.+- params:+    D: '12'+    conductor: '16.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-16.1-a2 has conductor ideal $(4)$, rank $0$, and equation+    ${y}^2={x}^{3}+w{x}^{2}+{x}+3w+5$.+- params:+    D: '12'+    conductor: '16.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-16.1-a3 has conductor ideal $(4)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(4w-13\right){x}+11w-21$.+- params:+    D: '12'+    conductor: '16.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-16.1-a4 has conductor ideal $(4)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(4w-13\right){x}-12w+19$.+- params:+    D: '12'+    conductor: '16.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.12.1-16.1-a5 has conductor ideal $(4)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-w-3\right){x}-1$.+- params:+    D: '12'+    conductor: '16.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.12.1-16.1-a6 has conductor ideal $(4)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-w-3\right){x}-w-1$.+- params:+    D: '12'+    conductor: '16.1'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.12.1-16.1-a7 has conductor ideal $(4)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-6w-13\right){x}-12w-21$.+- params:+    D: '12'+    conductor: '16.1'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.12.1-16.1-a8 has conductor ideal $(4)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-6w-13\right){x}+11w+19$.+- params:+    D: '12'+    conductor: '22.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-22.1-a1 has conductor ideal $(w+5)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(14261w-24701\right){x}-1229141w+2128933$.+- params:+    D: '12'+    conductor: '22.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-22.1-a2 has conductor ideal $(w+5)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-23694w+41039\right){x}-5992615w+10379512$.+- params:+    D: '12'+    conductor: '22.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-22.1-a3 has conductor ideal $(w+5)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(18w-33\right){x}+83w-145$.+- params:+    D: '12'+    conductor: '22.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-22.1-a4 has conductor ideal $(w+5)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-2w+2\right){x}-w+1$.+- params:+    D: '12'+    conductor: '22.1'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-22.1-b1 has conductor ideal $(w+5)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(14261w-24702\right){x}+1229140w-2128935$.+- params:+    D: '12'+    conductor: '22.1'+    class: b+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-22.1-b2 has conductor ideal $(w+5)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-23694w+41038\right){x}+5992614w-10379514$.+- params:+    D: '12'+    conductor: '22.1'+    class: b+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-22.1-b3 has conductor ideal $(w+5)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(20w-32\right){x}-64w+112$.+- params:+    D: '12'+    conductor: '22.1'+    class: b+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-22.1-b4 has conductor ideal $(w+5)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+3{x}+1$.+- params:+    D: '12'+    conductor: '22.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-22.2-a1 has conductor ideal $(w-5)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(1813w-3142\right){x}-55168w+95554$.+- params:+    D: '12'+    conductor: '22.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-22.2-a2 has conductor ideal $(w-5)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-18w-33\right){x}-83w-145$.+- params:+    D: '12'+    conductor: '22.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-22.2-a3 has conductor ideal $(w-5)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(1688w-2922\right){x}-63194w+109458$.+- params:+    D: '12'+    conductor: '22.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-22.2-a4 has conductor ideal $(w-5)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(2w+2\right){x}+w+1$.+- params:+    D: '12'+    conductor: '22.2'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-22.2-b1 has conductor ideal $(w-5)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(1813w-3143\right){x}+55168w-95555$.+- params:+    D: '12'+    conductor: '22.2'+    class: b+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-22.2-b2 has conductor ideal $(w-5)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-20w-32\right){x}+64w+112$.+- params:+    D: '12'+    conductor: '22.2'+    class: b+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-22.2-b3 has conductor ideal $(w-5)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(1688w-2923\right){x}+63194w-109459$.+- params:+    D: '12'+    conductor: '22.2'+    class: b+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-22.2-b4 has conductor ideal $(w-5)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+3{x}+1$.+- params:+    D: '12'+    conductor: '24.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-24.1-a1 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}+\left(1035w-1791\right){x}-23450w+40617$.+- params:+    D: '12'+    conductor: '24.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-24.1-a2 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-15w+29\right){x}+322w-557$.+- params:+    D: '12'+    conductor: '24.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-24.1-a3 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2={x}^{3}+\left(w-1\right){x}^{2}+\left(-38w+66\right){x}-168w+291$.+- params:+    D: '12'+    conductor: '24.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-24.1-a4 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}+\left(5w-6\right){x}-3w+6$.+- params:+    D: '12'+    conductor: '24.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.12.1-24.1-a5 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}+\left(25w-41\right){x}+92w-159$.+- params:+    D: '12'+    conductor: '24.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.12.1-24.1-a6 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}+\left(65w-111\right){x}-348w+603$.+- params:+    D: '12'+    conductor: '24.1'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.12.1-24.1-a7 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}+\left(385w-671\right){x}+5582w-9681$.+- params:+    D: '12'+    conductor: '24.1'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.12.1-24.1-a8 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+{x}^{2}+\left(55w-111\right){x}-406w+717$.+- params:+    D: '12'+    conductor: '24.1'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-24.1-b1 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(1033w-1794\right){x}+24484w-42410$.+- params:+    D: '12'+    conductor: '24.1'+    class: b+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-24.1-b2 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-17w+26\right){x}-338w+584$.+- params:+    D: '12'+    conductor: '24.1'+    class: b+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-24.1-b3 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2={x}^{3}+\left(-w+1\right){x}^{2}+\left(-38w+66\right){x}+168w-291$.+- params:+    D: '12'+    conductor: '24.1'+    class: b+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-24.1-b4 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(3w-9\right){x}+7w-14$.+- params:+    D: '12'+    conductor: '24.1'+    class: b+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.12.1-24.1-b5 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(23w-44\right){x}-68w+116$.+- params:+    D: '12'+    conductor: '24.1'+    class: b+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.12.1-24.1-b6 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(63w-114\right){x}+412w-716$.+- params:+    D: '12'+    conductor: '24.1'+    class: b+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.12.1-24.1-b7 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(383w-674\right){x}-5198w+9008$.+- params:+    D: '12'+    conductor: '24.1'+    class: b+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.12.1-24.1-b8 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(53w-114\right){x}+460w-830$.+- params:+    D: '12'+    conductor: '33.1'+    class: d+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-d1 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+w{x}^{2}+\left(22985w-39809\right){x}+2481167w-4297507$.+- params:+    D: '12'+    conductor: '33.1'+    class: d+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-d2 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-w{x}^{2}+\left(5w-9\right){x}-6w+10$.+- params:+    D: '12'+    conductor: '33.1'+    class: d+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-d3 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(16w-29\right){x}-80w+138$.+- params:+    D: '12'+    conductor: '33.1'+    class: d+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-d4 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-w{x}^{2}+\left(57890w-100270\right){x}+25396786w-43988524$.+- params:+    D: '12'+    conductor: '33.1'+    class: c+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-c1 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-729w+1261\right){x}-20243w+35060$.+- params:+    D: '12'+    conductor: '33.1'+    class: c+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-c2 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+w{x}{y}+{y}={x}^{3}-{x}^{2}+\left(3362w-5824\right){x}-177111w+306765$.+- params:+    D: '12'+    conductor: '33.1'+    class: c+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-c3 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(20w-49\right){x}-100w+184$.+- params:+    D: '12'+    conductor: '33.1'+    class: c+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-c4 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(296w-514\right){x}-3378w+5849$.+- params:+    D: '12'+    conductor: '33.1'+    class: c+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-c5 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(316w-549\right){x}-2833w+4905$.+- params:+    D: '12'+    conductor: '33.1'+    class: c+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-c6 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(1681w-2919\right){x}+48497w-84006$.+- params:+    D: '12'+    conductor: '33.1'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-b1 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-727w+1262\right){x}+19515w-33800$.+- params:+    D: '12'+    conductor: '33.1'+    class: b+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-b2 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(3362w-5824\right){x}+177111w-306766$.+- params:+    D: '12'+    conductor: '33.1'+    class: b+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-b3 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}-w{x}^{2}+\left(20w-49\right){x}+100w-184$.+- params:+    D: '12'+    conductor: '33.1'+    class: b+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-b4 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(298w-513\right){x}+3675w-6364$.+- params:+    D: '12'+    conductor: '33.1'+    class: b+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-b5 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(318w-548\right){x}+3150w-5455$.+- params:+    D: '12'+    conductor: '33.1'+    class: b+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-b6 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(1683w-2918\right){x}-46815w+81086$.+- params:+    D: '12'+    conductor: '33.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-a1 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(22986w-39809\right){x}-2497992w+4326651$.+- params:+    D: '12'+    conductor: '33.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-a2 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(6w-8\right){x}+12w-19$.+- params:+    D: '12'+    conductor: '33.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-a3 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(15w-28\right){x}+96w-167$.+- params:+    D: '12'+    conductor: '33.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.1-a4 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(57891w-100269\right){x}-25338895w+43888254$.+- params:+    D: '12'+    conductor: '33.2'+    class: d+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-d1 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(5w-7\right){x}+w-1$.+- params:+    D: '12'+    conductor: '33.2'+    class: d+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-d2 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(460939w-798370\right){x}+224206774w-388337524$.+- params:+    D: '12'+    conductor: '33.2'+    class: d+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-d3 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(8272w-14332\right){x}+544260w-942688$.+- params:+    D: '12'+    conductor: '33.2'+    class: d+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-d4 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-6w-9\right){x}+6w+10$.+- params:+    D: '12'+    conductor: '33.2'+    class: c+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-c1 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+{x}$.+- params:+    D: '12'+    conductor: '33.2'+    class: c+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-c2 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(25w-29\right){x}+89w-138$.+- params:+    D: '12'+    conductor: '33.2'+    class: c+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-c3 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(20w-39\right){x}+84w-138$.+- params:+    D: '12'+    conductor: '33.2'+    class: c+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-c4 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(335w-609\right){x}+4719w-8214$.+- params:+    D: '12'+    conductor: '33.2'+    class: c+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-c5 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}-4{x}+4w+1$.+- params:+    D: '12'+    conductor: '33.2'+    class: c+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-c6 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-20w-49\right){x}+100w+184$.+- params:+    D: '12'+    conductor: '33.2'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-b1 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+w{x}^{2}+{x}$.+- params:+    D: '12'+    conductor: '33.2'+    class: b+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-b2 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+w{x}^{2}+\left(25w-29\right){x}-89w+138$.+- params:+    D: '12'+    conductor: '33.2'+    class: b+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-b3 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+w{x}^{2}+\left(20w-39\right){x}-84w+138$.+- params:+    D: '12'+    conductor: '33.2'+    class: b+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-b4 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+w{x}^{2}+\left(335w-609\right){x}-4719w+8214$.+- params:+    D: '12'+    conductor: '33.2'+    class: b+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-b5 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+w{x}^{2}-4{x}-4w-1$.+- params:+    D: '12'+    conductor: '33.2'+    class: b+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-b6 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+w{x}^{2}+\left(-20w-49\right){x}-100w-184$.+- params:+    D: '12'+    conductor: '33.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-a1 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(6w-5\right){x}-3w+8$.+- params:+    D: '12'+    conductor: '33.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-a2 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(460938w-798369\right){x}-223745835w+387539154$.+- params:+    D: '12'+    conductor: '33.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-a3 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+{x}^{2}+\left(8273w-14331\right){x}-535987w+928356$.+- params:+    D: '12'+    conductor: '33.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-33.2-a4 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-7w-8\right){x}-12w-19$.+- params:+    D: '12'+    conductor: '36.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-36.1-a1 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2={x}^{3}-1$.+- params:+    D: '12'+    conductor: '36.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-36.1-a2 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2={x}^{3}+1$.+- params:+    D: '12'+    conductor: '36.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-36.1-a3 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(239w-416\right){x}+2458w-4259$.+- params:+    D: '12'+    conductor: '36.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-36.1-a4 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(240w-414\right){x}-2874w+4978$.+- params:+    D: '12'+    conductor: '36.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.12.1-36.1-a5 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(14w-26\right){x}+28w-50$.+- params:+    D: '12'+    conductor: '36.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.12.1-36.1-a6 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(15w-24\right){x}-54w+94$.+- params:+    D: '12'+    conductor: '36.1'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.12.1-36.1-a7 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(29w-56\right){x}-92w+151$.+- params:+    D: '12'+    conductor: '36.1'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.12.1-36.1-a8 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(30w-54\right){x}+36w-62$.+- params:+    D: '12'+    conductor: '47.1'+    class: b+    curve: '1'+  number: '0.098568841514602893460165344842850895328'+  comment: LMFDB curve 2.2.12.1-47.1-b1 has conductor ideal $(-4*w-1)$, rank $1$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(w-1\right){x}$.+- params:+    D: '12'+    conductor: '47.1'+    class: b+    curve: '2'+  number: '0.049284420757301446730082672421425447664'+  comment: LMFDB curve 2.2.12.1-47.1-b2 has conductor ideal $(-4*w-1)$, rank $1$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(6w-11\right){x}-14w+24$.+- params:+    D: '12'+    conductor: '47.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-47.1-a1 has conductor ideal $(-4*w-1)$, rank $0$,+    and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(w-2\right){x}-1$.+- params:+    D: '12'+    conductor: '47.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-47.1-a2 has conductor ideal $(-4*w-1)$, rank $0$,+    and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(6w-12\right){x}+14w-25$.+- params:+    D: '12'+    conductor: '47.2'+    class: b+    curve: '1'+  number: '0.098568841514602893460165344842850895328'+  comment: LMFDB curve 2.2.12.1-47.2-b1 has conductor ideal $(4*w-1)$, rank $1$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-w-1\right){x}$.+- params:+    D: '12'+    conductor: '47.2'+    class: b+    curve: '2'+  number: '0.049284420757301446730082672421425447664'+  comment: LMFDB curve 2.2.12.1-47.2-b2 has conductor ideal $(4*w-1)$, rank $1$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-6w-11\right){x}+14w+24$.+- params:+    D: '12'+    conductor: '47.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-47.2-a1 has conductor ideal $(4*w-1)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-w-2\right){x}-1$.+- params:+    D: '12'+    conductor: '47.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-47.2-a2 has conductor ideal $(4*w-1)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-6w-12\right){x}-14w-25$.+- params:+    D: '12'+    conductor: '52.1'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-52.1-b1 has conductor ideal $(2*w+8)$, rank $0$, and+    equation ${y}^2={x}^{3}+\left(w+1\right){x}^{2}+2{x}+2w-3$.+- params:+    D: '12'+    conductor: '52.1'+    class: b+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-52.1-b2 has conductor ideal $(2*w+8)$, rank $0$, and+    equation ${y}^2={x}^{3}+\left(w+1\right){x}^{2}+\left(60w-98\right){x}+306w-527$.+- params:+    D: '12'+    conductor: '52.1'+    class: b+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-52.1-b3 has conductor ideal $(2*w+8)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(2w-54\right){x}+9w-124$.+- params:+    D: '12'+    conductor: '52.1'+    class: b+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-52.1-b4 has conductor ideal $(2*w+8)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(-8w-14\right){x}+7w+12$.+- params:+    D: '12'+    conductor: '52.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-52.1-a1 has conductor ideal $(2*w+8)$, rank $0$, and+    equation ${y}^2={x}^{3}+\left(-w-1\right){x}^{2}+2{x}-2w+3$.+- params:+    D: '12'+    conductor: '52.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-52.1-a2 has conductor ideal $(2*w+8)$, rank $0$, and+    equation ${y}^2={x}^{3}+\left(-w-1\right){x}^{2}+\left(60w-98\right){x}-306w+527$.+- params:+    D: '12'+    conductor: '52.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-52.1-a3 has conductor ideal $(2*w+8)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(3w-53\right){x}-61w+76$.+- params:+    D: '12'+    conductor: '52.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-52.1-a4 has conductor ideal $(2*w+8)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-7w-13\right){x}-29w-50$.+- params:+    D: '12'+    conductor: '52.2'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-52.2-b1 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2={x}^{3}+\left(w+1\right){x}^{2}+\left(-192w+334\right){x}+730w-1265$.+- params:+    D: '12'+    conductor: '52.2'+    class: b+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-52.2-b2 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2={x}^{3}+\left(w+1\right){x}^{2}+\left(28w-46\right){x}-126w+219$.+- params:+    D: '12'+    conductor: '52.2'+    class: b+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-52.2-b3 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+w{x}^{2}+\left(9w-12\right){x}-21w+37$.+- params:+    D: '12'+    conductor: '52.2'+    class: b+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-52.2-b4 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+w{x}^{2}+\left(-w-52\right){x}-63w-129$.+- params:+    D: '12'+    conductor: '52.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-52.2-a1 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2={x}^{3}+\left(-w-1\right){x}^{2}+\left(-192w+334\right){x}-730w+1265$.+- params:+    D: '12'+    conductor: '52.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-52.2-a2 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2={x}^{3}+\left(-w-1\right){x}^{2}+\left(28w-46\right){x}+126w-219$.+- params:+    D: '12'+    conductor: '52.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-52.2-a3 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(10w-11\right){x}+16w-25$.+- params:+    D: '12'+    conductor: '52.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.12.1-52.2-a4 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w+1\right){x}^{2}-51{x}+8w+71$.+- params:+    D: '12'+    conductor: '54.1'+    class: c+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-54.1-c1 has conductor ideal $(3*w+9)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(22w-41\right){x}-218w+377$.+- params:+    D: '12'+    conductor: '54.1'+    class: c+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-54.1-c2 has conductor ideal $(3*w+9)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-3w+4\right){x}+7w-14$.+- params:+    D: '12'+    conductor: '54.1'+    class: c+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-54.1-c3 has conductor ideal $(3*w+9)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(127w-221\right){x}+1000w-1734$.+- params:+    D: '12'+    conductor: '54.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-54.1-a1 has conductor ideal $(3*w+9)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-128w-221\right){x}-1001w-1734$.+- params:+    D: '12'+    conductor: '54.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-54.1-a2 has conductor ideal $(3*w+9)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-23w-41\right){x}+217w+377$.+- params:+    D: '12'+    conductor: '54.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-54.1-a3 has conductor ideal $(3*w+9)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(2w+4\right){x}-8w-14$.+- params:+    D: '12'+    conductor: '54.1'+    class: d+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-54.1-d1 has conductor ideal $(3*w+9)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-128w-222\right){x}+1000w+1732$.+- params:+    D: '12'+    conductor: '54.1'+    class: d+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-54.1-d2 has conductor ideal $(3*w+9)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-23w-42\right){x}-218w-379$.+- params:+    D: '12'+    conductor: '54.1'+    class: d+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-54.1-d3 has conductor ideal $(3*w+9)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(2w+3\right){x}+7w+12$.+- params:+    D: '12'+    conductor: '54.1'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.12.1-54.1-b1 has conductor ideal $(3*w+9)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(22w-42\right){x}+217w-379$.+- params:+    D: '12'+    conductor: '54.1'+    class: b+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.12.1-54.1-b2 has conductor ideal $(3*w+9)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-3w+3\right){x}-8w+12$.+- params:+    D: '12'+    conductor: '54.1'+    class: b+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.12.1-54.1-b3 has conductor ideal $(3*w+9)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(127w-222\right){x}-1001w+1732$.+- params:+    D: '13'+    conductor: '4.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-4.1-a1 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(-29w+2\right){x}-52w-106$.+- params:+    D: '13'+    conductor: '4.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-4.1-a2 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-2w-2\right){x}$.+- params:+    D: '13'+    conductor: '4.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.13.1-4.1-a3 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(75w-172\right){x}+507w-1170$.+- params:+    D: '13'+    conductor: '4.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.13.1-4.1-a4 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(w-3\right){x}-w+1$.+- params:+    D: '13'+    conductor: '4.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.13.1-4.1-a5 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+3{x}-w+4$.+- params:+    D: '13'+    conductor: '4.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.13.1-4.1-a6 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(28w-27\right){x}+51w-158$.+- params:+    D: '13'+    conductor: '9.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-9.1-a1 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+w{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+{x}$.+- params:+    D: '13'+    conductor: '9.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-9.1-a2 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-5w-40\right){x}-56w-157$.+- params:+    D: '13'+    conductor: '9.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.13.1-9.1-a3 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+w{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(265w-594\right){x}+3141w-7218$.+- params:+    D: '13'+    conductor: '9.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.13.1-9.1-a4 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}$.+- params:+    D: '13'+    conductor: '9.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.13.1-9.1-a5 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}-5{x}-3w-1$.+- params:+    D: '13'+    conductor: '9.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.13.1-9.1-a6 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+w{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(15w-39\right){x}+54w-117$.+- params:+    D: '13'+    conductor: '9.1'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.13.1-9.1-a7 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+w{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(5w-44\right){x}+51w-168$.+- params:+    D: '13'+    conductor: '9.1'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.13.1-9.1-a8 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(15w-65\right){x}-69w+182$.+- params:+    D: '13'+    conductor: '9.1'+    class: a+    curve: '9'+  number: '1'+  comment: LMFDB curve 2.2.13.1-9.1-a9 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-15w-25\right){x}-69w-88$.+- params:+    D: '13'+    conductor: '9.1'+    class: a+    curve: '10'+  number: '1'+  comment: LMFDB curve 2.2.13.1-9.1-a10 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+w{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}-4{x}+3w+1$.+- params:+    D: '13'+    conductor: '9.1'+    class: a+    curve: '11'+  number: '1'+  comment: LMFDB curve 2.2.13.1-9.1-a11 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-265w-330\right){x}-3406w-4407$.+- params:+    D: '13'+    conductor: '9.1'+    class: a+    curve: '12'+  number: '1'+  comment: LMFDB curve 2.2.13.1-9.1-a12 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+w{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-15w-49\right){x}+84w+163$.+- params:+    D: '13'+    conductor: '17.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-17.1-a1 has conductor ideal $(w+4)$, rank $0$, and+    equation ${y}^2+w{y}={x}^{3}+{x}^{2}+\left(-9w+18\right){x}+12w-32$.+- params:+    D: '13'+    conductor: '17.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-17.1-a2 has conductor ideal $(w+4)$, rank $0$, and+    equation ${y}^2+w{y}={x}^{3}+{x}^{2}+\left(w-2\right){x}-w+1$.+- params:+    D: '13'+    conductor: '17.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-17.2-a1 has conductor ideal $(w-5)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-w-1\right){x}$.+- params:+    D: '13'+    conductor: '17.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-17.2-a2 has conductor ideal $(w-5)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(9w+9\right){x}-13w-20$.+- params:+    D: '13'+    conductor: '23.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-23.1-a1 has conductor ideal $(-3*w-1)$, rank $0$,+    and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(w+1\right){x}$.+- params:+    D: '13'+    conductor: '23.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-23.1-a2 has conductor ideal $(-3*w-1)$, rank $0$,+    and equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(-4w-4\right){x}-13w-18$.+- params:+    D: '13'+    conductor: '23.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-23.2-a1 has conductor ideal $(3*w-4)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(8w-7\right){x}+10w-14$.+- params:+    D: '13'+    conductor: '23.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-23.2-a2 has conductor ideal $(3*w-4)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(3w+3\right){x}+2w+2$.+- params:+    D: '13'+    conductor: '27.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.1-a1 has conductor ideal $(-3*w)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-w+1\right){x}-2$.+- params:+    D: '13'+    conductor: '27.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.1-a2 has conductor ideal $(-3*w)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-59w-135\right){x}+766w+829$.+- params:+    D: '13'+    conductor: '27.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.1-a3 has conductor ideal $(-3*w)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(464w-989\right){x}+6420w-15050$.+- params:+    D: '13'+    conductor: '27.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.1-a4 has conductor ideal $(-3*w)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}+w+1$.+- params:+    D: '13'+    conductor: '27.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.1-a5 has conductor ideal $(-3*w)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-4w-15\right){x}+w+10$.+- params:+    D: '13'+    conductor: '27.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.1-a6 has conductor ideal $(-3*w)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(19w-74\right){x}+70w-224$.+- params:+    D: '13'+    conductor: '27.1'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.1-a7 has conductor ideal $(-3*w)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-26w-119\right){x}+340w+10$.+- params:+    D: '13'+    conductor: '27.1'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.1-a8 has conductor ideal $(-3*w)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-4w-150\right){x}-404w+118$.+- params:+    D: '13'+    conductor: '27.1'+    class: a+    curve: '9'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.1-a9 has conductor ideal $(-3*w)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-84w-120\right){x}+546w+718$.+- params:+    D: '13'+    conductor: '27.1'+    class: a+    curve: '10'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.1-a10 has conductor ideal $(-3*w)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-6w-14\right){x}-20w-26$.+- params:+    D: '13'+    conductor: '27.1'+    class: a+    curve: '11'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.1-a11 has conductor ideal $(-3*w)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-847w+1914\right){x}-19366w+44646$.+- params:+    D: '13'+    conductor: '27.1'+    class: a+    curve: '12'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.1-a12 has conductor ideal $(-3*w)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-111w-194\right){x}-1130w-1304$.+- params:+    D: '13'+    conductor: '27.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.2-a1 has conductor ideal $(-3*w+3)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-3w+1\right){x}-2w+2$.+- params:+    D: '13'+    conductor: '27.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.2-a2 has conductor ideal $(-3*w+3)$, rank $0$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(26w-145\right){x}-340w+350$.+- params:+    D: '13'+    conductor: '27.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.2-a3 has conductor ideal $(-3*w+3)$, rank $0$,+    and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(849w+1064\right){x}+21278w+27823$.+- params:+    D: '13'+    conductor: '27.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.2-a4 has conductor ideal $(-3*w+3)$, rank $0$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+w{x}-2$.+- params:+    D: '13'+    conductor: '27.2'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.2-a5 has conductor ideal $(-3*w+3)$, rank $0$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(6w-20\right){x}+20w-46$.+- params:+    D: '13'+    conductor: '27.2'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.2-a6 has conductor ideal $(-3*w+3)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(82w-204\right){x}-547w+1264$.+- params:+    D: '13'+    conductor: '27.2'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.2-a7 has conductor ideal $(-3*w+3)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(57w-194\right){x}-767w+1595$.+- params:+    D: '13'+    conductor: '27.2'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.2-a8 has conductor ideal $(-3*w+3)$, rank $0$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(111w-305\right){x}+1130w-2434$.+- params:+    D: '13'+    conductor: '27.2'+    class: a+    curve: '9'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.2-a9 has conductor ideal $(-3*w+3)$, rank $0$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-19w-55\right){x}-70w-154$.+- params:+    D: '13'+    conductor: '27.2'+    class: a+    curve: '10'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.2-a10 has conductor ideal $(-3*w+3)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(2w-19\right){x}-2w+11$.+- params:+    D: '13'+    conductor: '27.2'+    class: a+    curve: '11'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.2-a11 has conductor ideal $(-3*w+3)$, rank $0$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-464w-525\right){x}-6420w-8630$.+- params:+    D: '13'+    conductor: '27.2'+    class: a+    curve: '12'+  number: '1'+  comment: LMFDB curve 2.2.13.1-27.2-a12 has conductor ideal $(-3*w+3)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(2w-154\right){x}+403w-286$.+- params:+    D: '13'+    conductor: '36.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.1-a1 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(1023w-2390\right){x}+24243w-55924$.+- params:+    D: '13'+    conductor: '36.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.1-a2 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-12w+25\right){x}-12w+26$.+- params:+    D: '13'+    conductor: '36.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.1-a3 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(48w-115\right){x}-96w+218$.+- params:+    D: '13'+    conductor: '36.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.1-a4 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-420w-565\right){x}-6327w-8227$.+- params:+    D: '13'+    conductor: '36.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.1-a5 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(418w-985\right){x}+6326w-14554$.+- params:+    D: '13'+    conductor: '36.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.1-a6 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-14305w-26645\right){x}-1473236w-2202528$.+- params:+    D: '13'+    conductor: '36.1'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.1-a7 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(16383w-38230\right){x}+1551027w-3576436$.+- params:+    D: '13'+    conductor: '36.1'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.1-a8 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(14303w-40950\right){x}+1473235w-3675764$.+- params:+    D: '13'+    conductor: '36.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.2-a1 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-113w-80\right){x}+590w+599$.+- params:+    D: '13'+    conductor: '36.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.2-a2 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(3w-8\right){x}+14w-35$.+- params:+    D: '13'+    conductor: '36.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.2-a3 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(124w-297\right){x}+1087w-2492$.+- params:+    D: '13'+    conductor: '36.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.2-a4 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(2w-5\right){x}-5w+11$.+- params:+    D: '13'+    conductor: '36.2'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.2-a5 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(-w+3\right){x}-3w+7$.+- params:+    D: '13'+    conductor: '36.2'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.2-a6 has conductor ideal $(2*w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(87w+6\right){x}+358w+111$.+- params:+    D: '13'+    conductor: '36.3'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.3-a1 has conductor ideal $(-2*w+8)$, rank $0$,+    and equation ${y}^2+w{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-85w+94\right){x}-352w+209$.+- params:+    D: '13'+    conductor: '36.3'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.3-a2 has conductor ideal $(-2*w+8)$, rank $0$,+    and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-w-1\right){x}$.+- params:+    D: '13'+    conductor: '36.3'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.3-a3 has conductor ideal $(-2*w+8)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}-w{x}^{2}+\left(-124w-173\right){x}-1087w-1405$.+- params:+    D: '13'+    conductor: '36.3'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.3-a4 has conductor ideal $(-2*w+8)$, rank $0$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-4w-4\right){x}-15w-20$.+- params:+    D: '13'+    conductor: '36.3'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.3-a5 has conductor ideal $(-2*w+8)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}-w{x}^{2}+\left(w+2\right){x}+3w+4$.+- params:+    D: '13'+    conductor: '36.3'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.13.1-36.3-a6 has conductor ideal $(-2*w+8)$, rank $0$,+    and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(114w-191\right){x}-670w+1528$.+- params:+    D: '13'+    conductor: '39.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-39.1-a1 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+w{x}{y}+{y}={x}^{3}-{x}^{2}+\left(34w+43\right){x}+323w+422$.+- params:+    D: '13'+    conductor: '39.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-39.1-a2 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(16w-27\right){x}+29w-60$.+- params:+    D: '13'+    conductor: '39.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.13.1-39.1-a3 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w+8\right){x}+5w-4$.+- params:+    D: '13'+    conductor: '39.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.13.1-39.1-a4 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(201w-462\right){x}+2061w-4746$.+- params:+    D: '13'+    conductor: '39.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-39.2-a1 has conductor ideal $(w-7)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(3w+4\right){x}$.+- params:+    D: '13'+    conductor: '39.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-39.2-a2 has conductor ideal $(w-7)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(-12w-16\right){x}-44w-57$.+- params:+    D: '13'+    conductor: '39.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.13.1-39.2-a3 has conductor ideal $(w-7)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-35w+77\right){x}-323w+745$.+- params:+    D: '13'+    conductor: '39.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.13.1-39.2-a4 has conductor ideal $(w-7)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+w{x}^{2}+\left(-197w-266\right){x}-2326w-3016$.+- params:+    D: '13'+    conductor: '48.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-48.1-a1 has conductor ideal $(-4*w)$, rank $0$, and+    equation ${y}^2={x}^{3}-{x}^{2}+\left(-3w-4\right){x}-4w-5$.+- params:+    D: '13'+    conductor: '48.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-48.1-a2 has conductor ideal $(-4*w)$, rank $0$, and+    equation ${y}^2={x}^{3}-{x}^{2}+\left(w+1\right){x}$.+- params:+    D: '13'+    conductor: '48.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.13.1-48.1-a3 has conductor ideal $(-4*w)$, rank $0$, and+    equation ${y}^2={x}^{3}-{x}^{2}+\left(-4w-4\right){x}+4w+4$.+- params:+    D: '13'+    conductor: '48.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.13.1-48.1-a4 has conductor ideal $(-4*w)$, rank $0$, and+    equation ${y}^2={x}^{3}-{x}^{2}+\left(9w-22\right){x}-67w+154$.+- params:+    D: '13'+    conductor: '48.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-48.2-a1 has conductor ideal $(-4*w+4)$, rank $0$,+    and equation ${y}^2={x}^{3}-{x}^{2}+\left(-9w-13\right){x}+67w+87$.+- params:+    D: '13'+    conductor: '48.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-48.2-a2 has conductor ideal $(-4*w+4)$, rank $0$,+    and equation ${y}^2={x}^{3}-{x}^{2}+\left(4w-8\right){x}-4w+8$.+- params:+    D: '13'+    conductor: '48.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.13.1-48.2-a3 has conductor ideal $(-4*w+4)$, rank $0$,+    and equation ${y}^2={x}^{3}-{x}^{2}+\left(-w+2\right){x}$.+- params:+    D: '13'+    conductor: '48.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.13.1-48.2-a4 has conductor ideal $(-4*w+4)$, rank $0$,+    and equation ${y}^2={x}^{3}-{x}^{2}+\left(3w-7\right){x}+4w-9$.+- params:+    D: '13'+    conductor: '51.1'+    class: c+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.1-c1 has conductor ideal $(-4*w+3)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-6w+6\right){x}-3w$.+- params:+    D: '13'+    conductor: '51.1'+    class: c+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.1-c2 has conductor ideal $(-4*w+3)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-16w-69\right){x}-78w-198$.+- params:+    D: '13'+    conductor: '51.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.1-a1 has conductor ideal $(-4*w+3)$, rank $0$,+    and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-2w-2\right){x}+11w+14$.+- params:+    D: '13'+    conductor: '51.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.1-a2 has conductor ideal $(-4*w+3)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-w+3\right){x}$.+- params:+    D: '13'+    conductor: '51.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.1-a3 has conductor ideal $(-4*w+3)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(4w-12\right){x}+5w-15$.+- params:+    D: '13'+    conductor: '51.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.1-a4 has conductor ideal $(-4*w+3)$, rank $0$,+    and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-57w-77\right){x}+359w+464$.+- params:+    D: '13'+    conductor: '51.1'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.1-b1 has conductor ideal $(-4*w+3)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-w{x}^{2}+\left(w-4\right){x}-w+2$.+- params:+    D: '13'+    conductor: '51.1'+    class: b+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.1-b2 has conductor ideal $(-4*w+3)$, rank $0$,+    and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-107w-152\right){x}-323w-403$.+- params:+    D: '13'+    conductor: '51.1'+    class: b+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.1-b3 has conductor ideal $(-4*w+3)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-w{x}^{2}+\left(26w-64\right){x}-93w+212$.+- params:+    D: '13'+    conductor: '51.1'+    class: b+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.1-b4 has conductor ideal $(-4*w+3)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-w{x}^{2}+\left(16w-79\right){x}-117w+164$.+- params:+    D: '13'+    conductor: '51.2'+    class: a+    curve: '1'+  number: '0.034450165062797493363476807161562966660'+  comment: LMFDB curve 2.2.13.1-51.2-a1 has conductor ideal $(-2*w+9)$, rank $1$,+    and equation ${y}^2+w{y}={x}^{3}-{x}^{2}+\left(-2w+4\right){x}+w-3$.+- params:+    D: '13'+    conductor: '51.2'+    class: a+    curve: '2'+  number: '0.011483388354265831121158935720520988885'+  comment: LMFDB curve 2.2.13.1-51.2-a2 has conductor ideal $(-2*w+9)$, rank $1$,+    and equation ${y}^2+w{y}={x}^{3}-{x}^{2}+\left(w-1\right){x}-w+1$.+- params:+    D: '13'+    conductor: '51.3'+    class: a+    curve: '1'+  number: '0.011483388354265831121158935720520988885'+  comment: LMFDB curve 2.2.13.1-51.3-a1 has conductor ideal $(2*w+7)$, rank $1$, and+    equation ${y}^2+\left(w+1\right){y}={x}^{3}-{x}^{2}-w{x}$.+- params:+    D: '13'+    conductor: '51.3'+    class: a+    curve: '2'+  number: '0.034450165062797493363476807161562966660'+  comment: LMFDB curve 2.2.13.1-51.3-a2 has conductor ideal $(2*w+7)$, rank $1$, and+    equation ${y}^2+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(2w+2\right){x}-2w-2$.+- params:+    D: '13'+    conductor: '51.4'+    class: c+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.4-c1 has conductor ideal $(4*w-1)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(5w+1\right){x}+2w-2$.+- params:+    D: '13'+    conductor: '51.4'+    class: c+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.4-c2 has conductor ideal $(4*w-1)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(15w-84\right){x}+77w-275$.+- params:+    D: '13'+    conductor: '51.4'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.4-b1 has conductor ideal $(4*w-1)$, rank $0$, and+    equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-2w-2\right){x}+w+1$.+- params:+    D: '13'+    conductor: '51.4'+    class: b+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.4-b2 has conductor ideal $(4*w-1)$, rank $0$, and+    equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-17w-62\right){x}+117w+47$.+- params:+    D: '13'+    conductor: '51.4'+    class: b+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.4-b3 has conductor ideal $(4*w-1)$, rank $0$, and+    equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-27w-37\right){x}+93w+119$.+- params:+    D: '13'+    conductor: '51.4'+    class: b+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.4-b4 has conductor ideal $(4*w-1)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(108w-262\right){x}+61w-140$.+- params:+    D: '13'+    conductor: '51.4'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.4-a1 has conductor ideal $(4*w-1)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+{x}^{2}+\left(2w-4\right){x}-9w+21$.+- params:+    D: '13'+    conductor: '51.4'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.4-a2 has conductor ideal $(4*w-1)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(w+2\right){x}$.+- params:+    D: '13'+    conductor: '51.4'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.4-a3 has conductor ideal $(4*w-1)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-4w-8\right){x}-5w-10$.+- params:+    D: '13'+    conductor: '51.4'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.13.1-51.4-a4 has conductor ideal $(4*w-1)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+{x}^{2}+\left(57w-134\right){x}-302w+689$.+- params:+    D: '13'+    conductor: '52.1'+    class: b+    curve: '1'+  number: '1.3834480278188076609662078599889399999'+  comment: LMFDB curve 2.2.13.1-52.1-b1 has conductor ideal $(-4*w+2)$, rank $1$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-213{x}-1257$.+- params:+    D: '13'+    conductor: '52.1'+    class: b+    curve: '2'+  number: '0.19763543254554395156660112285556285713'+  comment: LMFDB curve 2.2.13.1-52.1-b2 has conductor ideal $(-4*w+2)$, rank $1$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-3{x}+3$.+- params:+    D: '13'+    conductor: '52.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.13.1-52.1-a1 has conductor ideal $(-4*w+2)$, rank $0$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-460{x}-3830$.+- params:+    D: '13'+    conductor: '52.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.13.1-52.1-a2 has conductor ideal $(-4*w+2)$, rank $0$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-5{x}-8$.+- params:+    D: '13'+    conductor: '52.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.13.1-52.1-a3 has conductor ideal $(-4*w+2)$, rank $0$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}$.+- params:+    D: '13'+    conductor: '53.1'+    class: a+    curve: '1'+  number: '0.047438850434816421561347347750918711795'+  comment: LMFDB curve 2.2.13.1-53.1-a1 has conductor ideal $(w+7)$, rank $1$, and+    equation ${y}^2+w{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-w+1\right){x}$.+- params:+    D: '13'+    conductor: '53.2'+    class: a+    curve: '1'+  number: '0.047438850434816421561347347750918711795'+  comment: LMFDB curve 2.2.13.1-53.2-a1 has conductor ideal $(w-8)$, rank $1$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}-{x}^{2}$.+- params:+    D: '17'+    conductor: '4.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-4.1-a1 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+{x}{y}+{y}={x}^{3}+\left(-9w+22\right){x}+106w-272$.+- params:+    D: '17'+    conductor: '4.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-4.1-a2 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-2\right){x}+4w+6$.+- params:+    D: '17'+    conductor: '4.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-4.1-a3 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+{x}{y}+{y}={x}^{3}+\left(9w+13\right){x}-106w-166$.+- params:+    D: '17'+    conductor: '4.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-4.1-a4 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-3\right){x}-4w+10$.+- params:+    D: '17'+    conductor: '4.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-4.1-a5 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}-2w{x}$.+- params:+    D: '17'+    conductor: '4.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-4.1-a6 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(981w-2517\right){x}+23628w-60528$.+- params:+    D: '17'+    conductor: '4.1'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.17.1-4.1-a7 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(61w-157\right){x}+348w-896$.+- params:+    D: '17'+    conductor: '4.1'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.17.1-4.1-a8 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(w-2\right){x}-w$.+- params:+    D: '17'+    conductor: '4.1'+    class: a+    curve: '9'+  number: '1'+  comment: LMFDB curve 2.2.17.1-4.1-a9 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-12w-20\right){x}-28w-44$.+- params:+    D: '17'+    conductor: '4.1'+    class: a+    curve: '10'+  number: '1'+  comment: LMFDB curve 2.2.17.1-4.1-a10 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-62w-95\right){x}-349w-547$.+- params:+    D: '17'+    conductor: '4.1'+    class: a+    curve: '11'+  number: '1'+  comment: LMFDB curve 2.2.17.1-4.1-a11 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+w{x}^{2}+\left(11w-32\right){x}+27w-72$.+- params:+    D: '17'+    conductor: '4.1'+    class: a+    curve: '12'+  number: '1'+  comment: LMFDB curve 2.2.17.1-4.1-a12 has conductor ideal $(2)$, rank $0$, and equation+    ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-982w-1535\right){x}-23629w-36899$.+- params:+    D: '17'+    conductor: '8.3'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-8.3-a1 has conductor ideal $(-w-3)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(4w+7\right){x}-34w-53$.+- params:+    D: '17'+    conductor: '8.3'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-8.3-a2 has conductor ideal $(-w-3)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}-{x}^{2}+\left(80w+125\right){x}+1186w+1852$.+- params:+    D: '17'+    conductor: '8.3'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-8.3-a3 has conductor ideal $(-w-3)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(12w-37\right){x}+46w-121$.+- params:+    D: '17'+    conductor: '8.3'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-8.3-a4 has conductor ideal $(-w-3)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(w+3\right){x}$.+- params:+    D: '17'+    conductor: '8.3'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-8.3-a5 has conductor ideal $(-w-3)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-5w-8\right){x}+2w+3$.+- params:+    D: '17'+    conductor: '8.3'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-8.3-a6 has conductor ideal $(-w-3)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-4w-12\right){x}-29w-31$.+- params:+    D: '17'+    conductor: '8.4'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-8.4-a1 has conductor ideal $(w-4)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(3w-11\right){x}-3w+6$.+- params:+    D: '17'+    conductor: '8.4'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-8.4-a2 has conductor ideal $(w-4)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-6w+13\right){x}+33w-86$.+- params:+    D: '17'+    conductor: '8.4'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-8.4-a3 has conductor ideal $(w-4)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+2w{x}+w$.+- params:+    D: '17'+    conductor: '8.4'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-8.4-a4 has conductor ideal $(w-4)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-14w-23\right){x}-47w-74$.+- params:+    D: '17'+    conductor: '8.4'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-8.4-a5 has conductor ideal $(w-4)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(7w-20\right){x}+15w-40$.+- params:+    D: '17'+    conductor: '8.4'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-8.4-a6 has conductor ideal $(w-4)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}-w{x}^{2}+\left(-80w+205\right){x}-1186w+3038$.+- params:+    D: '17'+    conductor: '9.1'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-9.1-b1 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+{y}={x}^{3}-w{x}^{2}+\left(795w-2035\right){x}+17928w-45924$.+- params:+    D: '17'+    conductor: '9.1'+    class: b+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-9.1-b2 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+{y}={x}^{3}-w{x}^{2}+\left(-5w+15\right){x}+2w-6$.+- params:+    D: '17'+    conductor: '9.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-9.1-a1 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(48w-123\right){x}+291w-749$.+- params:+    D: '17'+    conductor: '9.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-9.1-a2 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(32w-79\right){x}-131w+330$.+- params:+    D: '17'+    conductor: '9.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-9.1-a3 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(58w+92\right){x}+322w+503$.+- params:+    D: '17'+    conductor: '9.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-9.1-a4 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-22w-33\right){x}+71w+111$.+- params:+    D: '17'+    conductor: '9.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-9.1-a5 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(2w-4\right){x}-2w+3$.+- params:+    D: '17'+    conductor: '9.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-9.1-a6 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-w-2\right){x}-1$.+- params:+    D: '17'+    conductor: '9.1'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.17.1-9.1-a7 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-49w-74\right){x}-292w-457$.+- params:+    D: '17'+    conductor: '9.1'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.17.1-9.1-a8 has conductor ideal $(3)$, rank $0$, and equation+    ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-31w-47\right){x}+99w+152$.+- params:+    D: '17'+    conductor: '16.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-16.1-a1 has conductor ideal $(4)$, rank $0$, and equation+    ${y}^2={x}^{3}+\left(w+1\right){x}^{2}+\left(-38w-77\right){x}-268w-444$.+- params:+    D: '17'+    conductor: '16.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-16.1-a2 has conductor ideal $(4)$, rank $0$, and equation+    ${y}^2={x}^{3}+\left(w+1\right){x}^{2}+\left(2w+3\right){x}$.+- params:+    D: '17'+    conductor: '16.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-16.1-a3 has conductor ideal $(4)$, rank $0$, and equation+    ${y}^2={x}^{3}+\left(-w-1\right){x}^{2}+4{x}+w-4$.+- params:+    D: '17'+    conductor: '16.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-16.1-a4 has conductor ideal $(4)$, rank $0$, and equation+    ${y}^2={x}^{3}+\left(-w-1\right){x}^{2}+\left(40w-116\right){x}+229w-596$.+- params:+    D: '17'+    conductor: '16.4'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-16.4-a1 has conductor ideal $(w+4)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(-w-3\right){x}-6w-10$.+- params:+    D: '17'+    conductor: '16.4'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-16.4-a2 has conductor ideal $(w+4)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+{x}^{2}$.+- params:+    D: '17'+    conductor: '16.4'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-16.4-a3 has conductor ideal $(w+4)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-9w-15\right){x}-6w-10$.+- params:+    D: '17'+    conductor: '16.4'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-16.4-a4 has conductor ideal $(w+4)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+w{x}$.+- params:+    D: '17'+    conductor: '16.4'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-16.4-a5 has conductor ideal $(w+4)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-124w-195\right){x}+916w+1430$.+- params:+    D: '17'+    conductor: '16.4'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-16.4-a6 has conductor ideal $(w+4)$, rank $0$, and+    equation ${y}^2+w{x}{y}={x}^{3}+\left(w-1\right){x}^{2}-4w{x}-5w-20$.+- params:+    D: '17'+    conductor: '16.5'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-16.5-a1 has conductor ideal $(-w+5)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}-2w{x}-w$.+- params:+    D: '17'+    conductor: '16.5'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-16.5-a2 has conductor ideal $(-w+5)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+w{x}^{2}+\left(7w-2\right){x}+5w-5$.+- params:+    D: '17'+    conductor: '16.5'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-16.5-a3 has conductor ideal $(-w+5)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}={x}^{3}+w{x}^{2}+\left(2w+3\right){x}$.+- params:+    D: '17'+    conductor: '16.5'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-16.5-a4 has conductor ideal $(-w+5)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(12w-22\right){x}-7w+26$.+- params:+    D: '17'+    conductor: '16.5'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-16.5-a5 has conductor ideal $(-w+5)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-w-4\right){x}+5w-16$.+- params:+    D: '17'+    conductor: '16.5'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-16.5-a6 has conductor ideal $(-w+5)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(127w-317\right){x}-1109w+2848$.+- params:+    D: '17'+    conductor: '17.1'+    class: a+    curve: '1'+  number: '6.0705123554606643216641072065434946721'+  comment: LMFDB curve 2.2.17.1-17.1-a1 has conductor ideal $(-2*w+1)$, rank $1$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(330w-936\right){x}+4996w-13110$.+- params:+    D: '17'+    conductor: '17.1'+    class: a+    curve: '2'+  number: '0.75881404443258304020801340081793683401'+  comment: LMFDB curve 2.2.17.1-17.1-a2 has conductor ideal $(-2*w+1)$, rank $1$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-{x}-14$.+- params:+    D: '17'+    conductor: '17.1'+    class: a+    curve: '3'+  number: '0.37940702221629152010400670040896841701'+  comment: LMFDB curve 2.2.17.1-17.1-a3 has conductor ideal $(-2*w+1)$, rank $1$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(6w+9\right){x}+4w+6$.+- params:+    D: '17'+    conductor: '17.1'+    class: a+    curve: '4'+  number: '0.75881404443258304020801340081793683401'+  comment: LMFDB curve 2.2.17.1-17.1-a4 has conductor ideal $(-2*w+1)$, rank $1$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-{x}$.+- params:+    D: '17'+    conductor: '17.1'+    class: a+    curve: '5'+  number: '1.5176280888651660804160268016358736680'+  comment: LMFDB curve 2.2.17.1-17.1-a5 has conductor ideal $(-2*w+1)$, rank $1$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-6{x}-4$.+- params:+    D: '17'+    conductor: '17.1'+    class: a+    curve: '6'+  number: '0.37940702221629152010400670040896841701'+  comment: LMFDB curve 2.2.17.1-17.1-a6 has conductor ideal $(-2*w+1)$, rank $1$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-6w+15\right){x}-4w+10$.+- params:+    D: '17'+    conductor: '17.1'+    class: a+    curve: '7'+  number: '3.0352561777303321608320536032717473360'+  comment: LMFDB curve 2.2.17.1-17.1-a7 has conductor ideal $(-2*w+1)$, rank $1$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-91{x}-310$.+- params:+    D: '17'+    conductor: '17.1'+    class: a+    curve: '8'+  number: '6.0705123554606643216641072065434946201'+  comment: LMFDB curve 2.2.17.1-17.1-a8 has conductor ideal $(-2*w+1)$, rank $1$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-330w-606\right){x}-4996w-8114$.+- params:+    D: '17'+    conductor: '18.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-18.1-a1 has conductor ideal $(-3*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(304w-779\right){x}+4017w-10293$.+- params:+    D: '17'+    conductor: '18.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-18.1-a2 has conductor ideal $(-3*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}+\left(w+1\right){x}-2w-3$.+- params:+    D: '17'+    conductor: '18.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-18.1-a3 has conductor ideal $(-3*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}-2w{x}+1$.+- params:+    D: '17'+    conductor: '18.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-18.1-a4 has conductor ideal $(-3*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(4w-9\right){x}-7w+17$.+- params:+    D: '17'+    conductor: '18.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-18.1-a5 has conductor ideal $(-3*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(19w-49\right){x}+53w-139$.+- params:+    D: '17'+    conductor: '18.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-18.1-a6 has conductor ideal $(-3*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-26w+41\right){x}+269w-769$.+- params:+    D: '17'+    conductor: '18.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-18.2-a1 has conductor ideal $(-3*w-3)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(25w+15\right){x}-270w-500$.+- params:+    D: '17'+    conductor: '18.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-18.2-a2 has conductor ideal $(-3*w-3)$, rank $0$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(w-1\right){x}-w+2$.+- params:+    D: '17'+    conductor: '18.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-18.2-a3 has conductor ideal $(-3*w-3)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-5w-5\right){x}+6w+10$.+- params:+    D: '17'+    conductor: '18.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-18.2-a4 has conductor ideal $(-3*w-3)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-20w-30\right){x}-54w-86$.+- params:+    D: '17'+    conductor: '18.2'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-18.2-a5 has conductor ideal $(-3*w-3)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}+\left(-w+2\right){x}+2w-5$.+- params:+    D: '17'+    conductor: '18.2'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-18.2-a6 has conductor ideal $(-3*w-3)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-305w-475\right){x}-4018w-6276$.+- params:+    D: '17'+    conductor: '26.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.1-a1 has conductor ideal $(w+5)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(13w-32\right){x}-28w+71$.+- params:+    D: '17'+    conductor: '26.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.1-a2 has conductor ideal $(w+5)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w+1\right){x}$.+- params:+    D: '17'+    conductor: '26.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.1-a3 has conductor ideal $(w+5)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}-w{x}^{2}+\left(-17w-26\right){x}+66w+103$.+- params:+    D: '17'+    conductor: '26.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.1-a4 has conductor ideal $(w+5)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-4w-4\right){x}-13w-21$.+- params:+    D: '17'+    conductor: '26.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.2-a1 has conductor ideal $(-3*w+5)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(139w-356\right){x}-1316w+3371$.+- params:+    D: '17'+    conductor: '26.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.2-a2 has conductor ideal $(-3*w+5)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(w-2\right){x}+2w-5$.+- params:+    D: '17'+    conductor: '26.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.2-a3 has conductor ideal $(-3*w+5)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-20w+52\right){x}+15w-39$.+- params:+    D: '17'+    conductor: '26.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.2-a4 has conductor ideal $(-3*w+5)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(5w-13\right){x}$.+- params:+    D: '17'+    conductor: '26.2'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.2-a5 has conductor ideal $(-3*w+5)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-10w-16\right){x}+25w+39$.+- params:+    D: '17'+    conductor: '26.2'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.2-a6 has conductor ideal $(-3*w+5)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-14w-23\right){x}-39w-60$.+- params:+    D: '17'+    conductor: '26.2'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.2-a7 has conductor ideal $(-3*w+5)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-155w-251\right){x}+1582w+2462$.+- params:+    D: '17'+    conductor: '26.2'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.2-a8 has conductor ideal $(-3*w+5)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-229w-358\right){x}-2654w-4143$.+- params:+    D: '17'+    conductor: '26.3'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.3-a1 has conductor ideal $(3*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-w-1\right){x}-2w-3$.+- params:+    D: '17'+    conductor: '26.3'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.3-a2 has conductor ideal $(3*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(229w-587\right){x}+2654w-6797$.+- params:+    D: '17'+    conductor: '26.3'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.3-a3 has conductor ideal $(3*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(20w+32\right){x}-15w-24$.+- params:+    D: '17'+    conductor: '26.3'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.3-a4 has conductor ideal $(3*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-5w-8\right){x}$.+- params:+    D: '17'+    conductor: '26.3'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.3-a5 has conductor ideal $(3*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(14w-37\right){x}+39w-99$.+- params:+    D: '17'+    conductor: '26.3'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.3-a6 has conductor ideal $(3*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(10w-26\right){x}-25w+64$.+- params:+    D: '17'+    conductor: '26.3'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.3-a7 has conductor ideal $(3*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-139w-217\right){x}+1316w+2055$.+- params:+    D: '17'+    conductor: '26.3'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.3-a8 has conductor ideal $(3*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(155w-406\right){x}-1582w+4044$.+- params:+    D: '17'+    conductor: '26.4'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.4-a1 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(6w-10\right){x}+8w-25$.+- params:+    D: '17'+    conductor: '26.4'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.4-a2 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+w{x}-1$.+- params:+    D: '17'+    conductor: '26.4'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.4-a3 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-13w-19\right){x}+28w+43$.+- params:+    D: '17'+    conductor: '26.4'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-26.4-a4 has conductor ideal $(w-6)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(17w-43\right){x}-66w+169$.+- params:+    D: '17'+    conductor: '32.3'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.3-a1 has conductor ideal $(-2*w-6)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-60w+146\right){x}+1782w-4567$.+- params:+    D: '17'+    conductor: '32.3'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.3-a2 has conductor ideal $(-2*w-6)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-4w-6\right){x}-16w-25$.+- params:+    D: '17'+    conductor: '32.3'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.3-a3 has conductor ideal $(-2*w-6)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(21w+29\right){x}+404w+627$.+- params:+    D: '17'+    conductor: '32.3'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.3-a4 has conductor ideal $(-2*w-6)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(5w-19\right){x}-68w+171$.+- params:+    D: '17'+    conductor: '32.3'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.3-a5 has conductor ideal $(-2*w-6)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}-2{x}-4w-5$.+- params:+    D: '17'+    conductor: '32.3'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.3-a6 has conductor ideal $(-2*w-6)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(6440w-16514\right){x}+410032w-1050341$.+- params:+    D: '17'+    conductor: '32.3'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.3-a7 has conductor ideal $(-2*w-6)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(400w-1034\right){x}+6672w-17093$.+- params:+    D: '17'+    conductor: '32.3'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.3-a8 has conductor ideal $(-2*w-6)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(5w-19\right){x}+6w-19$.+- params:+    D: '17'+    conductor: '32.3'+    class: a+    curve: '9'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.3-a9 has conductor ideal $(-2*w-6)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-20w-62\right){x}+44w+139$.+- params:+    D: '17'+    conductor: '32.3'+    class: a+    curve: '10'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.3-a10 has conductor ideal $(-2*w-6)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-145w-237\right){x}+1100w+1707$.+- params:+    D: '17'+    conductor: '32.3'+    class: a+    curve: '11'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.3-a11 has conductor ideal $(-2*w-6)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(75w-209\right){x}+618w-1607$.+- params:+    D: '17'+    conductor: '32.3'+    class: a+    curve: '12'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.3-a12 has conductor ideal $(-2*w-6)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-2385w-3757\right){x}+86220w+134699$.+- params:+    D: '17'+    conductor: '32.4'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.4-a1 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(-23w+52\right){x}-405w+1032$.+- params:+    D: '17'+    conductor: '32.4'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.4-a2 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(-7w-12\right){x}+67w+104$.+- params:+    D: '17'+    conductor: '32.4'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.4-a3 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(58w+88\right){x}-1783w-2784$.+- params:+    D: '17'+    conductor: '32.4'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.4-a4 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}-{x}^{2}+\left(2w-8\right){x}+15w-40$.+- params:+    D: '17'+    conductor: '32.4'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.4-a5 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(-7w-12\right){x}-7w-12$.+- params:+    D: '17'+    conductor: '32.4'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.4-a6 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(2388w-6147\right){x}-92365w+236610$.+- params:+    D: '17'+    conductor: '32.4'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.4-a7 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(148w-387\right){x}-1485w+3778$.+- params:+    D: '17'+    conductor: '32.4'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.4-a8 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(3w-7\right){x}-w+2$.+- params:+    D: '17'+    conductor: '32.4'+    class: a+    curve: '9'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.4-a9 has conductor ideal $(2*w-8)$, rank $0$, and+    equation ${y}^2+w{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(-77w-132\right){x}-619w-988$.+- params:+    D: '17'+    conductor: '32.4'+    class: a+    curve: '10'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.4-a10 has conductor ideal $(2*w-8)$, rank $0$,+    and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(-402w-632\right){x}-6673w-10420$.+- params:+    D: '17'+    conductor: '32.4'+    class: a+    curve: '11'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.4-a11 has conductor ideal $(2*w-8)$, rank $0$,+    and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(23w-87\right){x}-129w+354$.+- params:+    D: '17'+    conductor: '32.4'+    class: a+    curve: '12'+  number: '1'+  comment: LMFDB curve 2.2.17.1-32.4-a12 has conductor ideal $(2*w-8)$, rank $0$,+    and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(-6442w-10072\right){x}-410033w-640308$.+- params:+    D: '17'+    conductor: '34.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-34.1-a1 has conductor ideal $(3*w-10)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}-{x}^{2}-3{x}+85w-219$.+- params:+    D: '17'+    conductor: '34.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-34.1-a2 has conductor ideal $(3*w-10)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(45w+71\right){x}+183w+285$.+- params:+    D: '17'+    conductor: '34.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-34.2-a1 has conductor ideal $(3*w+7)$, rank $0$, and+    equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-43w+117\right){x}-112w+290$.+- params:+    D: '17'+    conductor: '34.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-34.2-a2 has conductor ideal $(3*w+7)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-w{x}^{2}+\left(-2w-2\right){x}-86w-134$.+- params:+    D: '17'+    conductor: '36.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-36.2-a1 has conductor ideal $(3*w)$, rank $0$, and+    equation ${y}^2+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(2w+3\right){x}+10w+15$.+- params:+    D: '17'+    conductor: '36.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-36.1-a1 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(1914w-5087\right){x}+68090w-175221$.+- params:+    D: '17'+    conductor: '36.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-36.1-a2 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(4w-7\right){x}+4w-13$.+- params:+    D: '17'+    conductor: '36.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-36.1-a3 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-3w-3\right){x}-9w-11$.+- params:+    D: '17'+    conductor: '36.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-36.1-a4 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-174w-270\right){x}+1819w+2840$.+- params:+    D: '17'+    conductor: '36.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-36.1-a5 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-19854w-31020\right){x}-2108519w-3292606$.+- params:+    D: '17'+    conductor: '36.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-36.1-a6 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-2734w-4270\right){x}+113851w+177784$.+- params:+    D: '17'+    conductor: '36.1'+    class: a+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.17.1-36.1-a7 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-19694w-30770\right){x}-2145537w-3350412$.+- params:+    D: '17'+    conductor: '36.1'+    class: a+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.17.1-36.1-a8 has conductor ideal $(6)$, rank $0$, and equation+    ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-1913w-3173\right){x}-70005w-110303$.+- params:+    D: '17'+    conductor: '36.3'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-36.3-a1 has conductor ideal $(3*w-3)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+4{x}-10w+21$.+- params:+    D: '17'+    conductor: '38.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-38.1-a1 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(w+3\right){x}+w+1$.+- params:+    D: '17'+    conductor: '38.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-38.1-a2 has conductor ideal $(w+6)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(21w-47\right){x}+54w-135$.+- params:+    D: '17'+    conductor: '38.2'+    class: a+    curve: '1'+  number: '0.085387436507748877571154453414499536608'+  comment: LMFDB curve 2.2.17.1-38.2-a1 has conductor ideal $(-3*w+2)$, rank $1$,+    and equation ${y}^2+{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(3w-7\right){x}-2w+5$.+- params:+    D: '17'+    conductor: '38.2'+    class: a+    curve: '2'+  number: '0.17077487301549775514230890682899907322'+  comment: LMFDB curve 2.2.17.1-38.2-a2 has conductor ideal $(-3*w+2)$, rank $1$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(-4w-5\right){x}+w+1$.+- params:+    D: '17'+    conductor: '38.2'+    class: a+    curve: '3'+  number: '0.34154974603099551028461781365799814643'+  comment: LMFDB curve 2.2.17.1-38.2-a3 has conductor ideal $(-3*w+2)$, rank $1$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-5\right){x}+w-6$.+- params:+    D: '17'+    conductor: '38.2'+    class: a+    curve: '4'+  number: '0.085387436507748877571154453414499536611'+  comment: LMFDB curve 2.2.17.1-38.2-a4 has conductor ideal $(-3*w+2)$, rank $1$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(-49w-75\right){x}+243w+379$.+- params:+    D: '17'+    conductor: '38.3'+    class: a+    curve: '1'+  number: '0.085387436507748877571154453414499536611'+  comment: LMFDB curve 2.2.17.1-38.3-a1 has conductor ideal $(3*w-1)$, rank $1$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(48w-124\right){x}-244w+622$.+- params:+    D: '17'+    conductor: '38.3'+    class: a+    curve: '2'+  number: '0.17077487301549775514230890682899907322'+  comment: LMFDB curve 2.2.17.1-38.3-a2 has conductor ideal $(3*w-1)$, rank $1$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(3w-9\right){x}-2w+2$.+- params:+    D: '17'+    conductor: '38.3'+    class: a+    curve: '3'+  number: '0.085387436507748877571154453414499536608'+  comment: LMFDB curve 2.2.17.1-38.3-a3 has conductor ideal $(3*w-1)$, rank $1$, and+    equation ${y}^2+{x}{y}={x}^{3}+w{x}^{2}+\left(-3w-4\right){x}+2w+3$.+- params:+    D: '17'+    conductor: '38.3'+    class: a+    curve: '4'+  number: '0.34154974603099551028461781365799814643'+  comment: LMFDB curve 2.2.17.1-38.3-a4 has conductor ideal $(3*w-1)$, rank $1$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-2w-3\right){x}-2w-4$.+- params:+    D: '17'+    conductor: '38.4'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-38.4-a1 has conductor ideal $(w-7)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-19w-29\right){x}-103w-163$.+- params:+    D: '17'+    conductor: '38.4'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-38.4-a2 has conductor ideal $(w-7)$, rank $0$, and+    equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w+1\right){x}$.+- params:+    D: '17'+    conductor: '43.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-43.1-a1 has conductor ideal $(-4*w+7)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(8w+12\right){x}-26w-41$.+- params:+    D: '17'+    conductor: '43.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-43.1-a2 has conductor ideal $(-4*w+7)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-2w-3\right){x}$.+- params:+    D: '17'+    conductor: '43.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-43.1-a3 has conductor ideal $(-4*w+7)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(3w-7\right){x}-7w+18$.+- params:+    D: '17'+    conductor: '43.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-43.1-a4 has conductor ideal $(-4*w+7)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-w+7\right){x}-w+4$.+- params:+    D: '17'+    conductor: '43.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-43.2-a1 has conductor ideal $(4*w+3)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(3w+4\right){x}-w-2$.+- params:+    D: '17'+    conductor: '43.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-43.2-a2 has conductor ideal $(4*w+3)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(4w-6\right){x}+3w-6$.+- params:+    D: '17'+    conductor: '43.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-43.2-a3 has conductor ideal $(4*w+3)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-6w+19\right){x}+19w-48$.+- params:+    D: '17'+    conductor: '43.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-43.2-a4 has conductor ideal $(4*w+3)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}-w{x}^{2}+\left(-3w-4\right){x}+7w+11$.+- params:+    D: '17'+    conductor: '47.1'+    class: a+    curve: '1'+  number: '0.047398169405353604132198011561955181896'+  comment: LMFDB curve 2.2.17.1-47.1-a1 has conductor ideal $(-2*w+9)$, rank $1$,+    and equation ${y}^2+{y}={x}^{3}+\left(w-1\right){x}^{2}+{x}$.+- params:+    D: '17'+    conductor: '47.2'+    class: a+    curve: '1'+  number: '0.047398169405353604132198011561955181896'+  comment: LMFDB curve 2.2.17.1-47.2-a1 has conductor ideal $(2*w+7)$, rank $1$, and+    equation ${y}^2+{y}={x}^{3}-w{x}^{2}+{x}$.+- params:+    D: '17'+    conductor: '50.1'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-50.1-b1 has conductor ideal $(-5*w+10)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+{x}^{2}+\left(6w-14\right){x}+13w-32$.+- params:+    D: '17'+    conductor: '50.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-50.1-a1 has conductor ideal $(-5*w+10)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(14w-34\right){x}-24w+57$.+- params:+    D: '17'+    conductor: '50.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-50.1-a2 has conductor ideal $(-5*w+10)$, rank $0$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(111w-33\right){x}+97w-1131$.+- params:+    D: '17'+    conductor: '50.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-50.1-a3 has conductor ideal $(-5*w+10)$, rank $0$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-14w-33\right){x}-3w-31$.+- params:+    D: '17'+    conductor: '50.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-50.1-a4 has conductor ideal $(-5*w+10)$, rank $0$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-9w-13\right){x}+27w+41$.+- params:+    D: '17'+    conductor: '50.1'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-50.1-a5 has conductor ideal $(-5*w+10)$, rank $0$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-219w-353\right){x}-2403w-3779$.+- params:+    D: '17'+    conductor: '50.1'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-50.1-a6 has conductor ideal $(-5*w+10)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-w+2\right){x}+7w-21$.+- params:+    D: '17'+    conductor: '50.1'+    class: c+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-50.1-c1 has conductor ideal $(-5*w+10)$, rank $0$,+    and equation ${y}^2+\left(w+1\right){x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-33w-52\right){x}-250w-391$.+- params:+    D: '17'+    conductor: '50.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-50.2-a1 has conductor ideal $(-5*w-5)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(218w-572\right){x}+2402w-6182$.+- params:+    D: '17'+    conductor: '50.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-50.2-a2 has conductor ideal $(-5*w-5)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+2w{x}-10w-14$.+- params:+    D: '17'+    conductor: '50.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-50.2-a3 has conductor ideal $(-5*w-5)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-13w-20\right){x}+9w+14$.+- params:+    D: '17'+    conductor: '50.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-50.2-a4 has conductor ideal $(-5*w-5)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(8w-22\right){x}-28w+68$.+- params:+    D: '17'+    conductor: '50.2'+    class: a+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-50.2-a5 has conductor ideal $(-5*w-5)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(13w-47\right){x}+2w-34$.+- params:+    D: '17'+    conductor: '50.2'+    class: a+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-50.2-a6 has conductor ideal $(-5*w-5)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-112w+78\right){x}-98w-1034$.+- params:+    D: '17'+    conductor: '50.2'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-50.2-b1 has conductor ideal $(-5*w-5)$, rank $0$,+    and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-6w-8\right){x}-7w-11$.+- params:+    D: '17'+    conductor: '50.2'+    class: c+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-50.2-c1 has conductor ideal $(-5*w-5)$, rank $0$,+    and equation ${y}^2+w{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(37w-91\right){x}+160w-409$.+- params:+    D: '17'+    conductor: '52.3'+    class: b+    curve: '1'+  number: '0.011548536804434145224328626608586774846'+  comment: LMFDB curve 2.2.17.1-52.3-b1 has conductor ideal $(w+7)$, rank $1$, and+    equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(-16w-25\right){x}+50w+78$.+- params:+    D: '17'+    conductor: '52.3'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.3-a1 has conductor ideal $(w+7)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(301w-771\right){x}+4140w-10608$.+- params:+    D: '17'+    conductor: '52.3'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.3-a2 has conductor ideal $(w+7)$, rank $0$, and+    equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-2w-3\right){x}-7w-11$.+- params:+    D: '17'+    conductor: '52.1'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.1-b1 has conductor ideal $(-4*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(532w-1365\right){x}-3584w+9177$.+- params:+    D: '17'+    conductor: '52.1'+    class: b+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.1-b2 has conductor ideal $(-4*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(167w+263\right){x}+2745w+4287$.+- params:+    D: '17'+    conductor: '52.1'+    class: b+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.1-b3 has conductor ideal $(-4*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(22w-81\right){x}+113w-312$.+- params:+    D: '17'+    conductor: '52.1'+    class: b+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.1-b4 has conductor ideal $(-4*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(27w-70\right){x}-99w+252$.+- params:+    D: '17'+    conductor: '52.1'+    class: b+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.1-b5 has conductor ideal $(-4*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-2w-3\right){x}-5w-8$.+- params:+    D: '17'+    conductor: '52.1'+    class: b+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.1-b6 has conductor ideal $(-4*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(282w-725\right){x}+3796w-9727$.+- params:+    D: '17'+    conductor: '52.1'+    class: b+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.1-b7 has conductor ideal $(-4*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-3w-6\right){x}+3w+4$.+- params:+    D: '17'+    conductor: '52.1'+    class: b+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.1-b8 has conductor ideal $(-4*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-197w-308\right){x}-2355w-3682$.+- params:+    D: '17'+    conductor: '52.1'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.1-a1 has conductor ideal $(-4*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(31w-81\right){x}+1377w-3529$.+- params:+    D: '17'+    conductor: '52.1'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.1-a2 has conductor ideal $(-4*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-4w+9\right){x}-51w+129$.+- params:+    D: '17'+    conductor: '52.1'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.1-a3 has conductor ideal $(-4*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}-2{x}-w-1$.+- params:+    D: '17'+    conductor: '52.1'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.1-a4 has conductor ideal $(-4*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-5w-42\right){x}-20w-125$.+- params:+    D: '17'+    conductor: '52.1'+    class: c+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.1-c1 has conductor ideal $(-4*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(5998w-15400\right){x}+359411w-920755$.+- params:+    D: '17'+    conductor: '52.1'+    class: c+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.1-c2 has conductor ideal $(-4*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-12w+30\right){x}-153w+389$.+- params:+    D: '17'+    conductor: '52.1'+    class: c+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.1-c3 has conductor ideal $(-4*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-5w-13\right){x}+19w+33$.+- params:+    D: '17'+    conductor: '52.1'+    class: c+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.1-c4 has conductor ideal $(-4*w+6)$, rank $0$,+    and equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-775w-3673\right){x}-26663w-89359$.+- params:+    D: '17'+    conductor: '52.2'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.2-a1 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(-32w-50\right){x}-1378w-2152$.+- params:+    D: '17'+    conductor: '52.2'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.2-a2 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(3w+5\right){x}+50w+78$.+- params:+    D: '17'+    conductor: '52.2'+    class: a+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.2-a3 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(-w-1\right){x}-1$.+- params:+    D: '17'+    conductor: '52.2'+    class: a+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.2-a4 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+{x}^{2}+\left(4w-46\right){x}+19w-144$.+- params:+    D: '17'+    conductor: '52.2'+    class: b+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.2-b1 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(197w-505\right){x}+2355w-6037$.+- params:+    D: '17'+    conductor: '52.2'+    class: b+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.2-b2 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(2w-5\right){x}+5w-13$.+- params:+    D: '17'+    conductor: '52.2'+    class: b+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.2-b3 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-533w-833\right){x}+3583w+5593$.+- params:+    D: '17'+    conductor: '52.2'+    class: b+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.2-b4 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(2w-8\right){x}-4w+8$.+- params:+    D: '17'+    conductor: '52.2'+    class: b+    curve: '5'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.2-b5 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-28w-43\right){x}+98w+153$.+- params:+    D: '17'+    conductor: '52.2'+    class: b+    curve: '6'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.2-b6 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(-283w-443\right){x}-3797w-5931$.+- params:+    D: '17'+    conductor: '52.2'+    class: b+    curve: '7'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.2-b7 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}={x}^{3}+w{x}^{2}+\left(-167w+430\right){x}-2745w+7032$.+- params:+    D: '17'+    conductor: '52.2'+    class: b+    curve: '8'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.2-b8 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-23w-58\right){x}-114w-198$.+- params:+    D: '17'+    conductor: '52.2'+    class: c+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.2-c1 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(-5999w-9401\right){x}-359412w-561343$.+- params:+    D: '17'+    conductor: '52.2'+    class: c+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.2-c2 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+w{y}={x}^{3}-w{x}^{2}+\left(11w+19\right){x}+152w+237$.+- params:+    D: '17'+    conductor: '52.2'+    class: c+    curve: '3'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.2-c3 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(6w-18\right){x}-15w+35$.+- params:+    D: '17'+    conductor: '52.2'+    class: c+    curve: '4'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.2-c4 has conductor ideal $(4*w+2)$, rank $0$, and+    equation ${y}^2+{x}{y}+\left(w+1\right){y}={x}^{3}+\left(w+1\right){x}^{2}+\left(776w-4448\right){x}+27437w-120469$.+- params:+    D: '17'+    conductor: '52.6'+    class: b+    curve: '1'+  number: '0.011548536804434145224328626608586774846'+  comment: LMFDB curve 2.2.17.1-52.6-b1 has conductor ideal $(w-8)$, rank $1$, and+    equation ${y}^2+w{y}={x}^{3}+\left(16w-41\right){x}-51w+129$.+- params:+    D: '17'+    conductor: '52.6'+    class: a+    curve: '1'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.6-a1 has conductor ideal $(w-8)$, rank $0$, and+    equation ${y}^2+w{y}={x}^{3}-{x}^{2}+\left(-301w-470\right){x}-4141w-6467$.+- params:+    D: '17'+    conductor: '52.6'+    class: a+    curve: '2'+  number: '1'+  comment: LMFDB curve 2.2.17.1-52.6-a2 has conductor ideal $(w-8)$, rank $0$, and+    equation ${y}^2+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(4w-6\right){x}+9w-23$.
History of Regulators of elliptic curves over real quadratic fields

What changed between 2026-09-17 07:41 and 2026-09-17 07:51
