| Label |
Class |
Conductor |
Discriminant |
Rank* |
2-Selmer rank |
Torsion |
$\textrm{End}^0(J_{\overline\Q})$ |
$\textrm{End}^0(J)$ |
$\GL_2\textsf{-type}$ |
Sato-Tate |
Nonmaximal primes |
$\Q$-simple |
\(\overline{\Q}\)-simple |
\(\Aut(X)\) |
\(\Aut(X_{\overline{\Q}})\) |
$\Q$-points |
$\Q$-Weierstrass points |
mod-$\ell$ images |
Locally solvable |
Square Ш* |
Analytic Ш* |
Tamagawa |
Regulator |
Real period |
Leading coefficient |
Igusa-Clebsch invariants |
Igusa invariants |
G2-invariants |
Equation |
| 363.a.43923.1 |
363.a |
\( 3 \cdot 11^{2} \) |
\( - 3 \cdot 11^{4} \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1, 3.80.4 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(3.794119\) |
\(0.189706\) |
$[11096,25612,88274095,-175692]$ |
$[5548,1278244,392069161,135322995423,-43923]$ |
$[-5256325630316243968/43923,-1804005053317888/363,-99735603013264/363]$ |
$y^2 + x^2y = 11x^5 - 13x^4 - 7x^3 + 10x^2 + x - 2$ |
| 389.a.389.1 |
389.a |
\( 389 \) |
\( 389 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(19.798620\) |
\(0.197986\) |
$[2440,51100,45041351,1556]$ |
$[1220,53500,2084961,-79649395,389]$ |
$[2702708163200000/389,97147868000000/389,3103255952400/389]$ |
$y^2 + (x^3 + x)y = x^5 - 2x^4 - 8x^3 + 16x + 7$ |
| 389.a.389.2 |
389.a |
\( 389 \) |
\( 389 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(19.798620\) |
\(0.197986\) |
$[16,100,1775,1556]$ |
$[8,-14,-159,-367,389]$ |
$[32768/389,-7168/389,-10176/389]$ |
$y^2 + (x + 1)y = x^5 + 2x^4 + 2x^3 + x^2$ |
| 394.a.394.1 |
394.a |
\( 2 \cdot 197 \) |
\( 2 \cdot 197 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(20.078274\) |
\(0.200783\) |
$[11032,106300,393913607,1576]$ |
$[5516,1250044,371875905,122164372511,394]$ |
$[12960598758485504,532478222573696,28717744887720]$ |
$y^2 + (x^3 + x)y = 2x^5 + x^4 - 12x^3 + 17x - 9$ |
| 523.a.523.1 |
523.a |
\( 523 \) |
\( -523 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(24.819904\) |
\(0.248199\) |
$[120,-540,-29169,-2092]$ |
$[60,240,2241,19215,-523]$ |
$[-777600000/523,-51840000/523,-8067600/523]$ |
$y^2 + (x + 1)y = x^5 - x^4 - x^3$ |
| 576.a.576.1 |
576.a |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{6} \cdot 3^{2} \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\mathrm{M}_2(\Q)\) |
\(\mathsf{CM}\) |
✓ |
$E_2$ |
|
✓ |
|
$C_4$ |
$D_4$ |
$4$ |
$0$ |
2.180.4, 3.1080.16 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(22.396252\) |
\(0.223963\) |
$[68,124,2616,72]$ |
$[68,110,-36,-3637,576]$ |
$[22717712/9,540430/9,-289]$ |
$y^2 + (x^3 + x^2 + x + 1)y = -x^3 - x$ |
| 603.a.603.1 |
603.a |
\( 3^{2} \cdot 67 \) |
\( - 3^{2} \cdot 67 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(26.910016\) |
\(0.269100\) |
$[1672,75628,49887881,2412]$ |
$[836,16516,-1263521,-332270453,603]$ |
$[408348897330176/603,9649919856896/603,-883069772816/603]$ |
$y^2 + (x^2 + 1)y = x^5 + 8x^4 + 4x^3 + 4x^2 + 2x$ |
| 603.a.603.2 |
603.a |
\( 3^{2} \cdot 67 \) |
\( - 3^{2} \cdot 67 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(26.910016\) |
\(0.269100\) |
$[176,148,7375,-2412]$ |
$[88,298,1361,7741,-603]$ |
$[-5277319168/603,-203078656/603,-10539584/603]$ |
$y^2 + (x^2 + 1)y = x^5 - x^3 + x$ |
| 644.b.14812.1 |
644.b |
\( 2^{2} \cdot 7 \cdot 23 \) |
\( - 2^{2} \cdot 7 \cdot 23^{2} \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.90.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(15.435107\) |
\(0.308702\) |
$[1268,-40511,-17688719,-1895936]$ |
$[317,5875,170781,4905488,-14812]$ |
$[-3201078401357/14812,-187148201375/14812,-17161611909/14812]$ |
$y^2 + (x^3 + 1)y = x^5 - x^4 - 4x^3 + 5x^2 - x - 1$ |
| 688.a.704512.2 |
688.a |
\( 2^{4} \cdot 43 \) |
\( - 2^{14} \cdot 43 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(6.426825\) |
\(0.321341\) |
$[464,-248,-39602,-86]$ |
$[1856,146176,15688704,1937702912,-704512]$ |
$[-1344218660864/43,-57041383424/43,-3298550016/43]$ |
$y^2 = 2x^5 - 7x^4 - 8x^3 + 2x^2 + 4x + 1$ |
| 688.a.704512.1 |
688.a |
\( 2^{4} \cdot 43 \) |
\( 2^{14} \cdot 43 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(6.426825\) |
\(0.321341\) |
$[128,532,26830,86]$ |
$[512,5248,-408576,-59183104,704512]$ |
$[2147483648/43,42991616/43,-6537216/43]$ |
$y^2 = 2x^5 + 4x^3 + x^2 + 2x + 1$ |
| 708.a.2832.1 |
708.a |
\( 2^{2} \cdot 3 \cdot 59 \) |
\( 2^{4} \cdot 3 \cdot 59 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(16.267181\) |
\(0.325344\) |
$[148,2065,76361,362496]$ |
$[37,-29,-59,-756,2832]$ |
$[69343957/2832,-1468937/2832,-1369/48]$ |
$y^2 + (x^2 + x + 1)y = x^5$ |
| 708.a.19116.1 |
708.a |
\( 2^{2} \cdot 3 \cdot 59 \) |
\( - 2^{2} \cdot 3^{4} \cdot 59 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(16.267181\) |
\(0.325344\) |
$[908,-132815,8426215,2446848]$ |
$[227,7681,-438901,-39657072,19116]$ |
$[602738989907/19116,89845294523/19116,-383324231/324]$ |
$y^2 + (x^3 + 1)y = -x^5 + 4x^2 + 4x - 1$ |
| 726.a.1452.1 |
726.a |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( - 2^{2} \cdot 3 \cdot 11^{2} \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1, 3.90.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(15.124086\) |
\(0.302482\) |
$[760,-69236,-16142609,-5808]$ |
$[380,17556,702601,-10306189,-1452]$ |
$[-1980879200000/363,-7297976000/11,-25363896100/363]$ |
$y^2 + (x^2 + 1)y = 2x^5 + 2x^4 + 6x^3 - 2x^2 - x$ |
| 731.a.12427.1 |
731.a |
\( 17 \cdot 43 \) |
\( - 17^{2} \cdot 43 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(14.926779\) |
\(0.298536\) |
$[480,-21564,-3373785,-49708]$ |
$[240,5994,167265,1053891,-12427]$ |
$[-796262400000/12427,-82861056000/12427,-9634464000/12427]$ |
$y^2 + (x^3 + x^2)y = x^5 + 2x^4 - x - 3$ |
| 763.a.763.1 |
763.a |
\( 7 \cdot 109 \) |
\( - 7 \cdot 109 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(30.485750\) |
\(0.304858\) |
$[216,1116,75735,-3052]$ |
$[108,300,81,-20313,-763]$ |
$[-14693280768/763,-377913600/763,-944784/763]$ |
$y^2 + (x^3 + x)y = -2x^4 + 2x^2 - x$ |
| 847.b.9317.1 |
847.b |
\( 7 \cdot 11^{2} \) |
\( 7 \cdot 11^{3} \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1, 3.80.4 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(16.827271\) |
\(0.336545\) |
$[304,5932,452465,-37268]$ |
$[152,-26,-401,-15407,-9317]$ |
$[-81136812032/9317,91307008/9317,9264704/9317]$ |
$y^2 + (x^2 + 1)y = x^5 + 2x^4 - 3x^3 + 2x^2 - x$ |
| 970.a.1940.1 |
970.a |
\( 2 \cdot 5 \cdot 97 \) |
\( 2^{2} \cdot 5 \cdot 97 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(17.375772\) |
\(0.347515\) |
$[24,684,4887,7760]$ |
$[12,-108,-159,-3393,1940]$ |
$[62208/485,-46656/485,-5724/485]$ |
$y^2 + (x + 1)y = x^5 + x^4 + x^3 + x^2$ |
| 1047.a.3141.1 |
1047.a |
\( 3 \cdot 349 \) |
\( 3^{2} \cdot 349 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(17.821680\) |
\(0.356434\) |
$[8,604,1017,-12564]$ |
$[4,-100,-1,-2501,-3141]$ |
$[-1024/3141,6400/3141,16/3141]$ |
$y^2 + (x^3 + x)y = x$ |
| 1104.a.17664.1 |
1104.a |
\( 2^{4} \cdot 3 \cdot 23 \) |
\( 2^{8} \cdot 3 \cdot 23 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(8.907497\) |
\(0.445375\) |
$[88,160,4888,69]$ |
$[176,864,-1280,-242944,17664]$ |
$[659664896/69,6133248/23,-154880/69]$ |
$y^2 = x^5 - 2x^4 + 4x^3 - 4x^2 + 3x - 1$ |
| 1142.a.2284.1 |
1142.a |
\( 2 \cdot 571 \) |
\( - 2^{2} \cdot 571 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(16.871340\) |
\(0.337427\) |
$[472,-2876,-427657,-9136]$ |
$[236,2800,46521,784739,-2284]$ |
$[-183020620544/571,-9200979200/571,-647758404/571]$ |
$y^2 + (x^3 + x^2)y = -x^4 - x^3 + x^2 - x - 2$ |
| 1148.a.8036.1 |
1148.a |
\( 2^{2} \cdot 7 \cdot 41 \) |
\( 2^{2} \cdot 7^{2} \cdot 41 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.90.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(22.531311\) |
\(0.450626\) |
$[3540,152577,168647985,1028608]$ |
$[885,26277,825045,9921024,8036]$ |
$[542895639553125/8036,18214010942625/8036,646195870125/8036]$ |
$y^2 + (x^3 + 1)y = x^5 - x^4 - 6x^3 + x^2 + 5x - 1$ |
| 1148.a.47068.1 |
1148.a |
\( 2^{2} \cdot 7 \cdot 41 \) |
\( - 2^{2} \cdot 7 \cdot 41^{2} \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.90.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(22.531311\) |
\(0.450626\) |
$[1236,129537,36025137,-6024704]$ |
$[309,-1419,31221,1908432,-47068]$ |
$[-2817036000549/47068,41865649551/47068,-2981012301/47068]$ |
$y^2 + (x^2 + x + 1)y = x^5 + 2x^4 - 5x^3 + x$ |
| 1197.a.10773.1 |
1197.a |
\( 3^{2} \cdot 7 \cdot 19 \) |
\( 3^{4} \cdot 7 \cdot 19 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(18.778043\) |
\(0.375561\) |
$[520,10900,1557089,-43092]$ |
$[260,1000,-1121,-322865,-10773]$ |
$[-1188137600000/10773,-17576000000/10773,3988400/567]$ |
$y^2 + (x^3 + x^2)y = -x^3 - x^2 - x + 2$ |
| 1197.a.410571.1 |
1197.a |
\( 3^{2} \cdot 7 \cdot 19 \) |
\( - 3^{2} \cdot 7^{4} \cdot 19 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(18.778043\) |
\(0.375561\) |
$[3296,706780,578353015,-1642284]$ |
$[1648,-4634,23921,4486963,-410571]$ |
$[-12155869717331968/410571,2962986082304/58653,-3419323136/21609]$ |
$y^2 + (x^2 + 1)y = x^5 + 12x^4 - 7x^3 - 3x^2 + x$ |
| 1258.a.21386.1 |
1258.a |
\( 2 \cdot 17 \cdot 37 \) |
\( 2 \cdot 17^{2} \cdot 37 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(20.931527\) |
\(0.418631\) |
$[2360,51148,37529695,85544]$ |
$[1180,49492,2427545,103761259,21386]$ |
$[1143878878400000/10693,40658469872000/10693,1690056829000/10693]$ |
$y^2 + xy = x^5 + 4x^4 - 5x^3 - 4x^2 + 5x - 1$ |
| 1269.b.102789.1 |
1269.b |
\( 3^{3} \cdot 47 \) |
\( - 3^{7} \cdot 47 \) |
$0$ |
$2$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
|
|
$2$ |
\( 5 \) |
\(1.000000\) |
\(4.110305\) |
\(0.411030\) |
$[91192,19900,603982075,1692]$ |
$[136788,779593356,5923938871071,50639487394179303,102789]$ |
$[197075993647247827966976/423,2737061778548953841408/141,152047414479420367856/141]$ |
$y^2 + (x^3 + x)y = -2x^6 - x^5 - 21x^4 - 8x^3 - 80x^2 - 16x - 103$ |
| 1269.b.102789.2 |
1269.b |
\( 3^{3} \cdot 47 \) |
\( 3^{7} \cdot 47 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(8.220609\) |
\(0.411030\) |
$[80,-140,-1027,1692]$ |
$[120,810,81,-161595,102789]$ |
$[102400000/423,640000/47,1600/141]$ |
$y^2 + xy = x^5 - x^4 + x^2 + x$ |
| 1284.a.5136.1 |
1284.a |
\( 2^{2} \cdot 3 \cdot 107 \) |
\( 2^{4} \cdot 3 \cdot 107 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(23.787277\) |
\(0.475746\) |
$[460,3457,746415,-657408]$ |
$[115,407,-2245,-105956,-5136]$ |
$[-20113571875/5136,-618996125/5136,29690125/5136]$ |
$y^2 + (x^3 + 1)y = -x^4 + x^2 - 2x + 1$ |
| 1333.a.41323.1 |
1333.a |
\( 31 \cdot 43 \) |
\( - 31^{2} \cdot 43 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(19.771386\) |
\(0.395428\) |
$[360,8964,-70065,-165292]$ |
$[180,-144,95985,4314141,-41323]$ |
$[-188956800000/41323,839808000/41323,-3109914000/41323]$ |
$y^2 + (x^2 + 1)y = x^5 - 2x^3 + 3x^2 + 2x$ |
| 1345.a.6725.1 |
1345.a |
\( 5 \cdot 269 \) |
\( 5^{2} \cdot 269 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(19.841417\) |
\(0.396828\) |
$[144,-1476,-33615,-26900]$ |
$[72,462,-321,-59139,-6725]$ |
$[-1934917632/6725,-172440576/6725,1664064/6725]$ |
$y^2 + (x^2 + 1)y = x^5 + x^3 - x$ |
| 1462.a.11696.1 |
1462.a |
\( 2 \cdot 17 \cdot 43 \) |
\( - 2^{4} \cdot 17 \cdot 43 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(9.232591\) |
\(0.369304\) |
$[13264,-519236,-2177178649,-46784]$ |
$[6632,1919182,757711065,335470058489,-11696]$ |
$[-801867487713585152/731,-34988855092435136/731,-2082920440086660/731]$ |
$y^2 + (x^3 + x)y = 2x^5 - 27x^3 - 38x^2 + 94x + 148$ |
| 1611.a.14499.1 |
1611.a |
\( 3^{2} \cdot 179 \) |
\( - 3^{4} \cdot 179 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(8.432415\) |
\(0.421621\) |
$[2224,-1580,-1264985,-57996]$ |
$[1112,51786,3242169,230875533,-14499]$ |
$[-1700293663096832/14499,-2637320827904/537,-445453847104/1611]$ |
$y^2 + (x + 1)y = 3x^5 - 8x^4 - 6x^3 + x^2 + x$ |
| 1660.a.6640.1 |
1660.a |
\( 2^{2} \cdot 5 \cdot 83 \) |
\( - 2^{4} \cdot 5 \cdot 83 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(28.296181\) |
\(0.565924\) |
$[628,20161,3232241,-849920]$ |
$[157,187,701,18772,-6640]$ |
$[-95388992557/6640,-723669991/6640,-17278949/6640]$ |
$y^2 + (x^3 + 1)y = x^5 - 4x^3 - 2x^2 + 2x + 1$ |
| 1708.a.47824.1 |
1708.a |
\( 2^{2} \cdot 7 \cdot 61 \) |
\( - 2^{4} \cdot 7^{2} \cdot 61 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(13.590757\) |
\(0.543630\) |
$[3852,-342207,134606799,6121472]$ |
$[963,52899,-3616461,-1570239036,47824]$ |
$[828192771461043/47824,6748826814279/6832,-3353793821109/47824]$ |
$y^2 + (x^2 + x + 1)y = -7x^5 + 8x^4 - 3x^3 + x$ |
| 1718.a.3436.1 |
1718.a |
\( 2 \cdot 859 \) |
\( - 2^{2} \cdot 859 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(22.829274\) |
\(0.456585\) |
$[240,-180,-41769,-13744]$ |
$[120,630,7641,130005,-3436]$ |
$[-6220800000/859,-272160000/859,-27507600/859]$ |
$y^2 + (x + 1)y = x^5 + 2x^2 + x$ |
| 1776.a.7104.1 |
1776.a |
\( 2^{4} \cdot 3 \cdot 37 \) |
\( - 2^{6} \cdot 3 \cdot 37 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$2$ |
$0$ |
2.15.1 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(10.045934\) |
\(0.502297\) |
$[1472,256,116104,888]$ |
$[1472,90112,7349696,674644992,7104]$ |
$[107983916761088/111,4490824515584/111,248831307776/111]$ |
$y^2 + x^3y = x^5 + 4x^4 + 8x^3 + 15x^2 + 14x + 12$ |
| 1872.b.29952.1 |
1872.b |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 13 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.90.3 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(11.489427\) |
\(0.574471\) |
$[32,-32,16,117]$ |
$[64,256,-1024,-32768,29952]$ |
$[4194304/117,262144/117,-16384/117]$ |
$y^2 = x^5 - x^4 + 2x^3 - 2x^2 + x$ |
| 1872.b.479232.1 |
1872.b |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{2} \cdot 13 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.90.3 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(11.489427\) |
\(0.574471\) |
$[1424,8128,4058620,1872]$ |
$[2848,316288,41758976,4722866176,479232]$ |
$[45744615006208/117,1783785880576/117,82693212224/117]$ |
$y^2 + y = 4x^5 - 15x^4 - 8x^3 + 3x^2 + 2x$ |
| 2056.c.8224.1 |
2056.c |
\( 2^{3} \cdot 257 \) |
\( 2^{5} \cdot 257 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(13.375796\) |
\(0.668790\) |
$[10984,848956,3239469452,32896]$ |
$[5492,1115260,239363076,17694286448,8224]$ |
$[156135861726018976/257,5773215027610840/257,225615138048402/257]$ |
$y^2 + (x + 1)y = 2x^5 - 15x^4 + 19x^3 + 3x^2 - 3x$ |
| 2102.b.67264.1 |
2102.b |
\( 2 \cdot 1051 \) |
\( - 2^{6} \cdot 1051 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(8.040496\) |
\(0.482430\) |
$[4824,27252,81832167,-269056]$ |
$[2412,237864,26433081,1794327219,-67264]$ |
$[-1275576599091888/1051,-52153163179128/1051,-9611306149329/4204]$ |
$y^2 + xy = x^5 + 4x^4 + x^3 - 14x^2 + 8x$ |
| 2480.a.39680.1 |
2480.a |
\( 2^{4} \cdot 5 \cdot 31 \) |
\( - 2^{8} \cdot 5 \cdot 31 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(11.344400\) |
\(0.567220\) |
$[1528,-656,-334528,-155]$ |
$[3056,390880,66959616,12960353024,-39680]$ |
$[-1041182318391296/155,-8715524532736/31,-2442753751296/155]$ |
$y^2 = x^5 + 8x^4 - 16x^2 - 13x - 3$ |
| 2488.a.9952.1 |
2488.a |
\( 2^{3} \cdot 311 \) |
\( - 2^{5} \cdot 311 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(16.097547\) |
\(0.804877\) |
$[480,-720,-97956,-39808]$ |
$[240,2520,34884,505440,-9952]$ |
$[-24883200000/311,-1088640000/311,-62791200/311]$ |
$y^2 + (x + 1)y = 2x^5 + 2x^2 + x$ |
| 2496.a.29952.1 |
2496.a |
\( 2^{6} \cdot 3 \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 13 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 5 \) |
\(1.000000\) |
\(8.119604\) |
\(0.811960\) |
$[140,271,20648,3744]$ |
$[140,636,-4976,-275284,29952]$ |
$[210087500/117,2272375/39,-380975/117]$ |
$y^2 + (x + 1)y = -x^6 - x^4 + x^3$ |
| 2676.a.72252.1 |
2676.a |
\( 2^{2} \cdot 3 \cdot 223 \) |
\( 2^{2} \cdot 3^{4} \cdot 223 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(16.855632\) |
\(0.674225\) |
$[8660,1842961,4632909705,9248256]$ |
$[2165,118511,5325085,-629012024,72252]$ |
$[47565219304353125/72252,1202630918075875/72252,24959871539125/72252]$ |
$y^2 + (x^2 + x + 1)y = 9x^5 - 10x^3 - x^2 + x$ |
| 2736.a.10944.1 |
2736.a |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{2} \cdot 19 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(13.738900\) |
\(0.686945\) |
$[352,-560,-64360,-1368]$ |
$[352,5536,121664,3044608,-10944]$ |
$[-84437106688/171,-3772628992/171,-235541504/171]$ |
$y^2 + y = 2x^5 - 3x^4 - 4x^3 + x$ |
| 3222.a.6444.1 |
3222.a |
\( 2 \cdot 3^{2} \cdot 179 \) |
\( - 2^{2} \cdot 3^{2} \cdot 179 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(27.700172\) |
\(0.554003\) |
$[464,8212,1050367,-25776]$ |
$[232,874,401,-167711,-6444]$ |
$[-168027332608/1611,-2728446208/1611,-5395856/1611]$ |
$y^2 + xy = x^5 - x^4 - 4x^3 + 6x^2 - 2x$ |
| 3434.a.6868.1 |
3434.a |
\( 2 \cdot 17 \cdot 101 \) |
\( 2^{2} \cdot 17 \cdot 101 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(22.113734\) |
\(0.442275\) |
$[8944,451972,1246354847,27472]$ |
$[4472,757954,162115521,37621585949,6868]$ |
$[447145622133137408/1717,16946821010632448/1717,810528321881616/1717]$ |
$y^2 + (x^3 + x^2)y = -4x^4 - 6x^3 + 16x^2 + 17x - 12$ |
| 3776.a.15104.1 |
3776.a |
\( 2^{6} \cdot 59 \) |
\( - 2^{8} \cdot 59 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(17.382209\) |
\(0.869110\) |
$[1148,211,74638,-1888]$ |
$[1148,54772,3480720,248973644,-15104]$ |
$[-7788780680828/59,-323701191779/59,-17918964105/59]$ |
$y^2 + (x^2 + 1)y = 2x^5 - 6x^4 + 4x^2 + 2x$ |
| 3792.b.15168.1 |
3792.b |
\( 2^{4} \cdot 3 \cdot 79 \) |
\( 2^{6} \cdot 3 \cdot 79 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(19.816306\) |
\(0.990815\) |
$[1744,4792,2745900,60672]$ |
$[872,30884,1423204,71803108,15168]$ |
$[7877754649088/237,319965405088/237,16909086724/237]$ |
$y^2 + (x^3 + x)y = -3x^4 - x^3 + 6x^2 + 3x - 3$ |
