History of Special $L$-values of genus 2 curves over $\mathbb{Q}$

   - - label   - - rank+Numbers:+- params:+    label: 169.a+    rank: '0'+  number: '0.09049039083242962911358975725801541226473'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/169/a/169/1}[LMFDB+    169.a.169.1], $y^2 + (x^3 + x + 1)y = x^5 + x^4$.+- params:+    label: 249.a+    rank: '0'+  number: '0.1315495070114787592134013430121752606933'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/249/a/249/1}[LMFDB+    249.a.249.1], $y^2 + (x^3 + 1)y = x^2 + x$. The LMFDB class has 2 curves in this+    range.+- params:+    label: 277.a+    rank: '0'+  number: '0.1431366605510114901557152099923829602232'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/277/a/277/1}[LMFDB+    277.a.277.1], $y^2 + (x^3 + x^2 + x + 1)y = -x^2 - x$. The LMFDB class has 2 curves+    in this range.+- params:+    label: 295.a+    rank: '0'+  number: '0.1492683688832182090588207138996158657800'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/295/a/295/1}[LMFDB+    295.a.295.1], $y^2 + (x^3 + 1)y = -x^2$. The LMFDB class has 2 curves in this+    range.+- params:+    label: 349.a+    rank: '0'+  number: '0.1656123320984078287720952736293483346028'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/349/a/349/1}[LMFDB+    349.a.349.1], $y^2 + (x^3 + x^2 + x + 1)y = -x^3 - x^2$.+- params:+    label: 353.a+    rank: '0'+  number: '0.1859131786554872680710289056816858155417'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/353/a/353/1}[LMFDB+    353.a.353.1], $y^2 + (x^3 + x + 1)y = x^2$.+- params:+    label: 363.a+    rank: '0'+  number: '0.1897059599534884032426437150258731309382'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/363/a/11979/1}[LMFDB+    363.a.11979.1], $y^2 + (x^2 + 1)y = x^5 + 2 x^3 + 4 x^2 + 2 x$. The LMFDB class+    has 2 curves in this range.+- params:+    label: 389.a+    rank: '0'+  number: '0.1979862013008733330350209978381275022945'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/389/a/389/1}[LMFDB+    389.a.389.1], $y^2 + (x^3 + x)y = x^5 - 2 x^4 - 8 x^3 + 16 x + 7$. The LMFDB class+    has 2 curves in this range.+- params:+    label: 427.a+    rank: '0'+  number: '0.1899303686308920817263923619718777416327'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/427/a/2989/1}[LMFDB+    427.a.2989.1], $y^2 + (x^3 + 1)y = x^5 - x^4 - 5 x^3 + 4 x^2 + 4 x - 4$.+- params:+    label: 461.a+    rank: '0'+  number: '0.2458864264726567276756390789225886309417'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/461/a/461/1}[LMFDB+    461.a.461.1], $y^2 + (x^3)y = x^5 - 3 x^3 + 3 x - 2$. The LMFDB class has 2 curves+    in this range.+- params:+    label: 523.a+    rank: '0'+  number: '0.2481990412677571630041171344077874577287'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/523/a/523/1}[LMFDB+    523.a.523.1], $y^2 + (x + 1)y = x^5 - x^4 - x^3$. The LMFDB class has 2 curves+    in this range.+- params:+    label: 529.a+    rank: '0'+  number: '0.2484318665905996812072503393142383906699'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/529/a/529/1}[LMFDB+    529.a.529.1], $y^2 + (x^3 + x + 1)y = -x^5$.+- params:+    label: 555.a+    rank: '0'+  number: '0.2569247202971451430840301627276747947597'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/555/a/8325/1}[LMFDB+    555.a.8325.1], $y^2 + (x + 1)y = 3 x^5 - 2 x^4 - 4 x^3 + x^2 + x$.+- params:+    label: 587.a+    rank: '1'+  number: '0.1113515110642202373191027362087235867524'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/587/a/587/1}[LMFDB+    587.a.587.1], $y^2 + (x^3 + x + 1)y = -x^2 - x$.+- params:+    label: 597.a+    rank: '0'+  number: '0.2941146301882136359236849987869052563808'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/597/a/597/1}[LMFDB+    597.a.597.1], $y^2 + (1)y = x^5 + 2 x^4 + 3 x^3 + 2 x^2 + x$.+- params:+    label: 603.a+    rank: '0'+  number: '0.2691001556363177690790850827729359332812'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/603/a/603/1}[LMFDB+    603.a.603.1], $y^2 + (x^2 + 1)y = x^5 + 8 x^4 + 4 x^3 + 4 x^2 + 2 x$. The LMFDB+    class has 2 curves in this range.+- params:+    label: 691.a+    rank: '0'+  number: '0.2939463892598192424091021283086475110620'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/691/a/691/1}[LMFDB+    691.a.691.1], $y^2 + (x + 1)y = x^5 - x^3 - x^2$.+- params:+    label: 709.a+    rank: '0'+  number: '0.2868931505071272731308297049624563478404'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/709/a/709/1}[LMFDB+    709.a.709.1], $y^2 + (x)y = x^5 - 2 x^2 + x$.+- params:+    label: 713.a+    rank: '1'+  number: '0.1283949912472834590170543474773248575796'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/713/a/713/1}[LMFDB+    713.a.713.1], $y^2 + (x^3 + x + 1)y = -x^5 - x$.+- params:+    label: 713.b+    rank: '0'+  number: '0.2858010009469617170226097264141850097689'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/713/b/713/1}[LMFDB+    713.b.713.1], $y^2 + (x^3 + x + 1)y = -x^4$.+- params:+    label: 731.a+    rank: '0'+  number: '0.2985355886872414062863189873478987786819'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/731/a/12427/1}[LMFDB+    731.a.12427.1], $y^2 + (x^3 + x^2)y = x^5 + 2 x^4 - x - 3$.+- params:+    label: 741.a+    rank: '0'+  number: '0.2930756651264371996923859602312386579243'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/741/a/28899/1}[LMFDB+    741.a.28899.1], $y^2 + (x + 1)y = -3 x^5 - x^4 + 2 x^2 + x$.+- params:+    label: 743.a+    rank: '1'+  number: '0.1316557503846215116289169353731506251281'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/743/a/743/1}[LMFDB+    743.a.743.1], $y^2 + (x^3 + x + 1)y = -x^4 + x^2$.+- params:+    label: 745.a+    rank: '0'+  number: '0.3033683921052660240631287058786037771056'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/745/a/745/1}[LMFDB+    745.a.745.1], $y^2 + (x^3 + x + 1)y = -x$.+- params:+    label: 763.a+    rank: '0'+  number: '0.3048575004522535920085251501905636550504'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/763/a/763/1}[LMFDB+    763.a.763.1], $y^2 + (x^3 + x)y = -2 x^4 + 2 x^2 - x$.+- params:+    label: 797.a+    rank: '0'+  number: '0.3559385607403319429724872658598941145485'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/797/a/797/1}[LMFDB+    797.a.797.1], $y^2 + (1)y = x^5 - x^4 + x^3$.+- params:+    label: 807.a+    rank: '0'+  number: '0.3050356332174254142944032925074203061351'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/807/a/2421/1}[LMFDB+    807.a.2421.1], $y^2 + (x^3 + x)y = x^5 - 2 x^3 - x^2 + 2 x - 1$.+- params:+    label: 841.a+    rank: '0'+  number: '0.2915215656991529771681413103312969859954'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/841/a/841/1}[LMFDB+    841.a.841.1], $y^2 + (x^3 + x^2 + x)y = x^4 + x^3 + 3 x^2 + x + 2$.+- params:+    label: 847.a+    rank: '1'+  number: '0.1592441888803194513955584463536559869689'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/847/a/847/1}[LMFDB+    847.a.847.1], $y^2 + (x^3 + x^2 + x + 1)y = x^4 + x^3 + x^2$.+- params:+    label: 847.b+    rank: '0'+  number: '0.3365454249762917676170118858324423791181'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/847/b/9317/1}[LMFDB+    847.b.9317.1], $y^2 + (x^2 + 1)y = x^5 + 2 x^4 - 3 x^3 + 2 x^2 - x$.+- params:+    label: 847.c+    rank: '0'+  number: '0.3119812484526625370039160119138202568854'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/847/c/9317/1}[LMFDB+    847.c.9317.1], $y^2 + (x^3 + x^2)y = x^4 + x^3 - x - 2$.+- params:+    label: 847.d+    rank: '0'+  number: '0.2621188089061351721920136796692074600710'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/847/d/456533/1}[LMFDB+    847.d.456533.1], $y^2 + (1)y = -x^6 - 9 x^5 - 22 x^4 + 3 x^3 + 37 x^2 - 24 x ++    4$. The LMFDB class has 2 curves in this range.+- params:+    label: 893.a+    rank: '1'+  number: '0.1504585378200966582669018264044790617402'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/893/a/893/1}[LMFDB+    893.a.893.1], $y^2 + (x^3 + x + 1)y = -x^4 - x^2$.+- params:+    label: 909.a+    rank: '0'+  number: '0.3407116942606920617569877403142908280531'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/909/a/8181/1}[LMFDB+    909.a.8181.1], $y^2 + (x)y = 3 x^5 - 7 x^4 + x^3 + 6 x^2 - 3 x$. The LMFDB class+    has 2 curves in this range.+- params:+    label: 925.a+    rank: '0'+  number: '0.3262333436965224143091586365531384380133'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/925/a/23125/1}[LMFDB+    925.a.23125.1], $y^2 + (x)y = 5 x^5 + x^4 - 19 x^3 + 18 x^2 - 5 x$. The LMFDB+    class has 2 curves in this range.+- params:+    label: 953.a+    rank: '1'+  number: '0.1561935793455555266041051297046358534815'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/953/a/953/1}[LMFDB+    953.a.953.1], $y^2 + (x^3 + x + 1)y = x^3 + x^2$.+- params:+    label: 961.a+    rank: '0'+  number: '0.4492877238760407861133296681879239133411'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/961/a/923521/1}[LMFDB+    961.a.923521.1], $y^2 + (x^3 + x^2 + 1)y = -5 x^4 + 4 x^3 + 3 x^2 - 2 x - 3$.+    The LMFDB class has 4 curves in this range.+- params:+    label: 971.a+    rank: '1'+  number: '0.1769981337951764400226500892472379175742'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/971/a/971/1}[LMFDB+    971.a.971.1], $y^2 + (1)y = x^5 - 2 x^3 + x$.+- params:+    label: 975.a+    rank: '0'+  number: '0.3987858446601027745461990966212669516994'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/975/a/63375/1}[LMFDB+    975.a.63375.1], $y^2 + (x^3 + 1)y = -x^5 + x^3 + 2 x^2 + x - 1$.+- params:+    label: 997.a+    rank: '0'+  number: '0.3373378289933834996066688066442920811665'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/997/a/997/1}[LMFDB+    997.a.997.1], $y^2 + (x)y = x^5 - 8 x^4 + 16 x^3 - x$. The LMFDB class has 2 curves+    in this range.+- params:+    label: 997.b+    rank: '1'+  number: '0.1799924859492394396660740920629892328536'+  comment: Representative curve HREF{https://www.lmfdb.org/Genus2Curve/Q/997/b/997/1}[LMFDB+    997.b.997.1], $y^2 + (1)y = x^5 - 2 x^4 + 2 x^3 - x^2$.