| 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 |
| 604.a.9664.2 |
604.a |
\( 2^{2} \cdot 151 \) |
\( 2^{6} \cdot 151 \) |
$0$ |
$0$ |
$\Z/27\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 3^{2} \) |
\(1.000000\) |
\(23.634831\) |
\(0.291788\) |
$[116,6265,95277,1236992]$ |
$[29,-226,836,-6708,9664]$ |
$[20511149/9664,-2755957/4832,175769/2416]$ |
$y^2 + (x^3 + 1)y = -x^4 + x^3 + x^2 - x$ |
| 971.a.971.1 |
971.a |
\( 971 \) |
\( -971 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.005970\) |
\(29.647111\) |
\(0.176998\) |
$[256,1024,80304,-3884]$ |
$[128,512,2000,-1536,-971]$ |
$[-34359738368/971,-1073741824/971,-32768000/971]$ |
$y^2 + y = x^5 - 2x^3 + x$ |
| 976.a.999424.1 |
976.a |
\( 2^{4} \cdot 61 \) |
\( 2^{14} \cdot 61 \) |
$0$ |
$0$ |
$\Z/29\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,29$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 29 \) |
\(1.000000\) |
\(12.900365\) |
\(0.444840\) |
$[152,1012,68714,-124928]$ |
$[152,288,-24464,-950368,-999424]$ |
$[-4952198/61,-61731/61,551969/976]$ |
$y^2 + (x + 1)y = x^6 - 2x^5 + 2x^3 - x^2$ |
| 997.b.997.1 |
997.b |
\( 997 \) |
\( 997 \) |
$1$ |
$1$ |
$\Z/3\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.081270\) |
\(19.932843\) |
\(0.179992\) |
$[32,16,-1680,-3988]$ |
$[16,8,208,816,-997]$ |
$[-1048576/997,-32768/997,-53248/997]$ |
$y^2 + y = x^5 - 2x^4 + 2x^3 - x^2$ |
| 1051.a.1051.1 |
1051.a |
\( 1051 \) |
\( -1051 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.007925\) |
\(23.437821\) |
\(0.185743\) |
$[96,-144,144,4204]$ |
$[48,120,-80,-4560,1051]$ |
$[254803968/1051,13271040/1051,-184320/1051]$ |
$y^2 + y = x^5 - x^4 + x^2 - x$ |
| 1091.a.1091.1 |
1091.a |
\( 1091 \) |
\( 1091 \) |
$1$ |
$1$ |
$\Z/7\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.339399\) |
\(27.506563\) |
\(0.190525\) |
$[276,1305,42813,139648]$ |
$[69,144,1208,15654,1091]$ |
$[1564031349/1091,47305296/1091,5751288/1091]$ |
$y^2 + (x^2 + x + 1)y = x^5 - 2x^3 - x^2$ |
| 1145.a.1145.1 |
1145.a |
\( 5 \cdot 229 \) |
\( 5 \cdot 229 \) |
$1$ |
$2$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.026504\) |
\(29.585150\) |
\(0.196028\) |
$[468,5337,771165,146560]$ |
$[117,348,224,-23724,1145]$ |
$[21924480357/1145,557361324/1145,3066336/1145]$ |
$y^2 + (x^3 + 1)y = -3x^4 + 3x^3 - x$ |
| 1205.a.1205.1 |
1205.a |
\( 5 \cdot 241 \) |
\( 5 \cdot 241 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.007111\) |
\(29.029132\) |
\(0.206427\) |
$[128,592,16064,4820]$ |
$[64,72,576,7920,1205]$ |
$[1073741824/1205,18874368/1205,2359296/1205]$ |
$y^2 + y = x^5 + 2x^4 - x^2$ |
| 1207.a.1207.1 |
1207.a |
\( 17 \cdot 71 \) |
\( 17 \cdot 71 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.008414\) |
\(24.022483\) |
\(0.202128\) |
$[76,889,37395,-154496]$ |
$[19,-22,-308,-1584,-1207]$ |
$[-2476099/1207,150898/1207,111188/1207]$ |
$y^2 + (x^2 + x + 1)y = -x^5 - x^4$ |
| 1269.a.1269.1 |
1269.a |
\( 3^{3} \cdot 47 \) |
\( 3^{3} \cdot 47 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1, 3.80.2 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.010333\) |
\(20.591707\) |
\(0.212768\) |
$[0,288,1008,-5076]$ |
$[0,-48,112,-576,1269]$ |
$[0,-1048576/6627,-1792/423]$ |
$y^2 + (x^3 + x^2 + x + 1)y = x^2 + x$ |
| 1327.a.1327.1 |
1327.a |
\( 1327 \) |
\( 1327 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.009412\) |
\(22.632739\) |
\(0.213013\) |
$[52,1321,277,169856]$ |
$[13,-48,200,74,1327]$ |
$[371293/1327,-105456/1327,33800/1327]$ |
$y^2 + (x^2 + x + 1)y = x^5 + 2x^4 + x^3$ |
| 1397.a.1397.1 |
1397.a |
\( 11 \cdot 127 \) |
\( 11 \cdot 127 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.008804\) |
\(24.985912\) |
\(0.219976\) |
$[24,0,-9000,5588]$ |
$[12,6,1004,3003,1397]$ |
$[248832/1397,10368/1397,144576/1397]$ |
$y^2 + y = x^5 - x^3$ |
| 1403.a.1403.1 |
1403.a |
\( 23 \cdot 61 \) |
\( - 23 \cdot 61 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.008805\) |
\(25.036358\) |
\(0.220455\) |
$[88,-32,-7416,-5612]$ |
$[44,86,956,8667,-1403]$ |
$[-164916224/1403,-7325824/1403,-1850816/1403]$ |
$y^2 + y = x^5 + x^4 - x^3 - x^2$ |
| 1415.a.1415.1 |
1415.a |
\( 5 \cdot 283 \) |
\( - 5 \cdot 283 \) |
$1$ |
$2$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.034409\) |
\(26.497058\) |
\(0.227936\) |
$[212,697,-48083,-181120]$ |
$[53,88,1440,17144,-1415]$ |
$[-418195493/1415,-13101176/1415,-808992/283]$ |
$y^2 + (x^2 + x + 1)y = x^5 - 3x^4 + x^3 - x$ |
| 1416.b.135936.1 |
1416.b |
\( 2^{3} \cdot 3 \cdot 59 \) |
\( - 2^{8} \cdot 3^{2} \cdot 59 \) |
$0$ |
$2$ |
$\Z/2\Z\oplus\Z/14\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$3$ |
2.120.3 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 7 \) |
\(1.000000\) |
\(15.707538\) |
\(0.560984\) |
$[192,-96,90660,543744]$ |
$[96,400,-8452,-242848,135936]$ |
$[3538944/59,153600/59,-33808/59]$ |
$y^2 + (x^3 + x)y = -2x^4 - x^3 + x + 1$ |
| 1499.a.1499.1 |
1499.a |
\( 1499 \) |
\( 1499 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.009040\) |
\(25.977263\) |
\(0.234847\) |
$[212,1417,50245,191872]$ |
$[53,58,516,5996,1499]$ |
$[418195493/1499,8634866/1499,1449444/1499]$ |
$y^2 + (x^3 + 1)y = -x^5 + x^2 - x$ |
| 1595.a.231275.1 |
1595.a |
\( 5 \cdot 11 \cdot 29 \) |
\( 5^{2} \cdot 11 \cdot 29^{2} \) |
$1$ |
$2$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.027213\) |
\(10.105207\) |
\(0.274996\) |
$[432,22212,2142441,-925100]$ |
$[216,-1758,7399,-373095,-231275]$ |
$[-470184984576/231275,17716589568/231275,-345207744/231275]$ |
$y^2 + (x^3 + x)y = x^4 - x^3 + 2x^2 - 4x + 1$ |
| 1637.a.1637.1 |
1637.a |
\( 1637 \) |
\( 1637 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.012103\) |
\(20.489120\) |
\(0.247972\) |
$[40,-800,-7256,-6548]$ |
$[20,150,84,-5205,-1637]$ |
$[-3200000/1637,-1200000/1637,-33600/1637]$ |
$y^2 + y = x^5 - x^4 + x^3 - x^2$ |
| 1643.a.1643.1 |
1643.a |
\( 31 \cdot 53 \) |
\( - 31 \cdot 53 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.011228\) |
\(21.316178\) |
\(0.239346\) |
$[40,-1088,-3752,6572]$ |
$[20,198,-572,-12661,1643]$ |
$[3200000/1643,1584000/1643,-228800/1643]$ |
$y^2 + y = x^5 + x^4 - 5x^3 + 5x^2 - 2x$ |
| 1655.a.1655.1 |
1655.a |
\( 5 \cdot 331 \) |
\( - 5 \cdot 331 \) |
$1$ |
$2$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.036902\) |
\(26.848074\) |
\(0.247686\) |
$[76,1417,134171,211840]$ |
$[19,-44,-1536,-7780,1655]$ |
$[2476099/1655,-301796/1655,-554496/1655]$ |
$y^2 + (x^3 + x^2 + x)y = x^3 - x$ |
| 1706.a.3412.1 |
1706.a |
\( 2 \cdot 853 \) |
\( 2^{2} \cdot 853 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.005601\) |
\(25.509541\) |
\(0.285782\) |
$[304,1816,196969,-13648]$ |
$[152,660,-977,-146026,-3412]$ |
$[-20284203008/853,-579448320/853,5643152/853]$ |
$y^2 + (x + 1)y = x^6 - x^5 - x^4$ |
| 1757.a.1757.1 |
1757.a |
\( 7 \cdot 251 \) |
\( 7 \cdot 251 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.010713\) |
\(24.064792\) |
\(0.257806\) |
$[8,592,2392,-7028]$ |
$[4,-98,-156,-2557,-1757]$ |
$[-1024/1757,896/251,2496/1757]$ |
$y^2 + (x^3 + x^2 + x + 1)y = x^3 + x^2$ |
| 1797.a.5391.1 |
1797.a |
\( 3 \cdot 599 \) |
\( 3^{2} \cdot 599 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.006312\) |
\(20.515245\) |
\(0.258986\) |
$[1300,-8375,-4993627,690048]$ |
$[325,4750,117316,3891300,5391]$ |
$[3625908203125/5391,163058593750/5391,12391502500/5391]$ |
$y^2 + (x^2 + x + 1)y = x^5 - 4x^4 + 2x^3 + x^2$ |
| 1811.a.1811.1 |
1811.a |
\( 1811 \) |
\( -1811 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.011980\) |
\(22.443314\) |
\(0.268874\) |
$[12,-1095,39603,231808]$ |
$[3,46,-588,-970,1811]$ |
$[243/1811,1242/1811,-5292/1811]$ |
$y^2 + (x^3 + 1)y = -x^4 + x^3 - x$ |
| 1835.a.1835.1 |
1835.a |
\( 5 \cdot 367 \) |
\( - 5 \cdot 367 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.008962\) |
\(30.141383\) |
\(0.270112\) |
$[64,1648,6240,-7340]$ |
$[32,-232,1824,1136,-1835]$ |
$[-33554432/1835,7602176/1835,-1867776/1835]$ |
$y^2 + y = x^5 - 4x^3 + 5x^2 - 2x$ |
| 1876.a.7504.1 |
1876.a |
\( 2^{2} \cdot 7 \cdot 67 \) |
\( 2^{4} \cdot 7 \cdot 67 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.005298\) |
\(19.004957\) |
\(0.302059\) |
$[88,592,16804,-30016]$ |
$[44,-18,-464,-5185,-7504]$ |
$[-10307264/469,95832/469,56144/469]$ |
$y^2 + (x^2 + 1)y = x^5 - x^4 + x^2 - x$ |
| 1919.a.1919.1 |
1919.a |
\( 19 \cdot 101 \) |
\( 19 \cdot 101 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.010215\) |
\(26.183269\) |
\(0.267466\) |
$[12,4089,17427,-245632]$ |
$[3,-170,-100,-7300,-1919]$ |
$[-243/1919,4590/1919,900/1919]$ |
$y^2 + (x^3 + 1)y = x^3 + x^2$ |
| 1961.a.1961.1 |
1961.a |
\( 37 \cdot 53 \) |
\( - 37 \cdot 53 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.011881\) |
\(23.748421\) |
\(0.282163\) |
$[108,-1479,76563,251008]$ |
$[27,92,-1480,-12106,1961]$ |
$[14348907/1961,1810836/1961,-29160/53]$ |
$y^2 + (x^3 + 1)y = -x^2 - x$ |
| 1991.a.1991.1 |
1991.a |
\( 11 \cdot 181 \) |
\( 11 \cdot 181 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.009738\) |
\(27.939134\) |
\(0.272062\) |
$[148,3097,71101,254848]$ |
$[37,-72,456,2922,1991]$ |
$[69343957/1991,-3647016/1991,624264/1991]$ |
$y^2 + (x^3 + 1)y = -x^4 + 2x^2 + x$ |
| 2031.a.6093.1 |
2031.a |
\( 3 \cdot 677 \) |
\( 3^{2} \cdot 677 \) |
$1$ |
$1$ |
$\Z/3\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.063837\) |
\(20.086028\) |
\(0.284939\) |
$[64,976,18592,-24372]$ |
$[32,-120,-544,-7952,-6093]$ |
$[-33554432/6093,1310720/2031,557056/6093]$ |
$y^2 + (x^3 + x^2 + x + 1)y = -x^4 - x$ |
| 2059.a.2059.1 |
2059.a |
\( 29 \cdot 71 \) |
\( - 29 \cdot 71 \) |
$1$ |
$1$ |
$\Z/3\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.096037\) |
\(26.891157\) |
\(0.286948\) |
$[224,1024,71584,-8236]$ |
$[112,352,608,-13952,-2059]$ |
$[-17623416832/2059,-494534656/2059,-7626752/2059]$ |
$y^2 + y = x^5 - 4x^4 + 4x^3 - x$ |
| 2061.a.6183.1 |
2061.a |
\( 3^{2} \cdot 229 \) |
\( - 3^{3} \cdot 229 \) |
$1$ |
$2$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.033357\) |
\(17.335371\) |
\(0.289124\) |
$[108,-4455,-78525,791424]$ |
$[27,216,-256,-13392,6183]$ |
$[531441/229,157464/229,-6912/229]$ |
$y^2 + (x^3 + 1)y = -x^4 - x$ |
| 2075.a.10375.1 |
2075.a |
\( 5^{2} \cdot 83 \) |
\( - 5^{3} \cdot 83 \) |
$1$ |
$2$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.037752\) |
\(15.293009\) |
\(0.288670\) |
$[148,-6215,-372115,-1328000]$ |
$[37,316,2624,-692,-10375]$ |
$[-69343957/10375,-16006348/10375,-3592256/10375]$ |
$y^2 + (x^3 + 1)y = -2x^4 + x^2 - x$ |
| 2085.a.6255.1 |
2085.a |
\( 3 \cdot 5 \cdot 139 \) |
\( - 3^{2} \cdot 5 \cdot 139 \) |
$1$ |
$2$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.028935\) |
\(20.000293\) |
\(0.289359\) |
$[564,-2967,-773067,-800640]$ |
$[141,952,12384,209960,-6255]$ |
$[-6192315189/695,-296518488/695,-27356256/695]$ |
$y^2 + (x^2 + x + 1)y = -x^6 + 2x^4 - x^2$ |
| 2101.a.2101.1 |
2101.a |
\( 11 \cdot 191 \) |
\( 11 \cdot 191 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.014084\) |
\(20.473997\) |
\(0.288349\) |
$[0,-192,3600,-8404]$ |
$[0,32,400,-256,2101]$ |
$[0,33554432/4414201,12800/2101]$ |
$y^2 + y = x^5 - x^4$ |
| 2243.a.2243.1 |
2243.a |
\( 2243 \) |
\( -2243 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.011686\) |
\(23.741245\) |
\(0.277430\) |
$[56,16,-3640,-8972]$ |
$[28,30,476,3107,-2243]$ |
$[-17210368/2243,-658560/2243,-373184/2243]$ |
$y^2 + y = x^5 - 3x^4 + 3x^3 - x$ |
| 2290.a.4580.1 |
2290.a |
\( 2 \cdot 5 \cdot 229 \) |
\( 2^{2} \cdot 5 \cdot 229 \) |
$1$ |
$2$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.026440\) |
\(23.104645\) |
\(0.305443\) |
$[1876,10921,6688661,586240]$ |
$[469,8710,205184,5091799,4580]$ |
$[22691552673349/4580,89853848539/458,49271264/5]$ |
$y^2 + (x^3 + 1)y = -2x^4 + 4x^2 - x - 2$ |
| 2295.a.11475.1 |
2295.a |
\( 3^{3} \cdot 5 \cdot 17 \) |
\( - 3^{3} \cdot 5^{2} \cdot 17 \) |
$1$ |
$2$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.038412\) |
\(18.128756\) |
\(0.348182\) |
$[720,-13932,-1117575,45900]$ |
$[360,7722,-25,-14909571,11475]$ |
$[8957952000/17,533744640/17,-4800/17]$ |
$y^2 + (x^2 + 1)y = 5x^5 - 2x^4 + x^3 - x$ |
| 2301.a.6903.1 |
2301.a |
\( 3 \cdot 13 \cdot 59 \) |
\( - 3^{2} \cdot 13 \cdot 59 \) |
$1$ |
$2$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.027262\) |
\(21.332487\) |
\(0.290788\) |
$[332,-2423,132763,883584]$ |
$[83,388,-2848,-96732,6903]$ |
$[3939040643/6903,221853356/6903,-19619872/6903]$ |
$y^2 + (x^3 + 1)y = x^5 + x^4 + x^3 - x$ |
| 2309.a.2309.1 |
2309.a |
\( 2309 \) |
\( 2309 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.013967\) |
\(21.861690\) |
\(0.305335\) |
$[20,1417,-17979,295552]$ |
$[5,-58,332,-426,2309]$ |
$[3125/2309,-7250/2309,8300/2309]$ |
$y^2 + (x^2 + x + 1)y = x^5 - 2x^4 - x$ |
| 2345.a.2345.1 |
2345.a |
\( 5 \cdot 7 \cdot 67 \) |
\( 5 \cdot 7 \cdot 67 \) |
$1$ |
$2$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.048055\) |
\(25.716655\) |
\(0.308951\) |
$[500,4777,758613,300160]$ |
$[125,452,896,-23076,2345]$ |
$[6103515625/469,176562500/469,400000/67]$ |
$y^2 + (x^3 + 1)y = x^5 - 3x^3 - x^2 + x$ |
| 2349.a.2349.1 |
2349.a |
\( 3^{4} \cdot 29 \) |
\( 3^{4} \cdot 29 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.009610\) |
\(30.535491\) |
\(0.293460\) |
$[180,15993,288045,300672]$ |
$[45,-582,4540,-33606,2349]$ |
$[2278125/29,-654750/29,113500/29]$ |
$y^2 + (x^3 + 1)y = x^4 + 2x^3 - x$ |
| 2357.a.2357.1 |
2357.a |
\( 2357 \) |
\( -2357 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.018536\) |
\(16.607962\) |
\(0.307852\) |
$[308,-7511,-481323,-301696]$ |
$[77,560,1048,-58226,-2357]$ |
$[-2706784157/2357,-255658480/2357,-6213592/2357]$ |
$y^2 + (x^3 + 1)y = -x^5 + x^3 - x^2 - x$ |
| 2405.a.2405.1 |
2405.a |
\( 5 \cdot 13 \cdot 37 \) |
\( 5 \cdot 13 \cdot 37 \) |
$1$ |
$2$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.198183\) |
\(28.171495\) |
\(0.348945\) |
$[2016,157104,84858903,9620]$ |
$[1008,16152,273569,3717612,2405]$ |
$[1040645140512768/2405,16542757453824/2405,277963612416/2405]$ |
$y^2 + x^2y = x^5 + 4x^4 - 8x^2 - x + 4$ |
| 2507.a.2507.1 |
2507.a |
\( 23 \cdot 109 \) |
\( - 23 \cdot 109 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.015764\) |
\(20.605487\) |
\(0.324820\) |
$[40,-896,-568,10028]$ |
$[20,166,-748,-10629,2507]$ |
$[3200000/2507,1328000/2507,-299200/2507]$ |
$y^2 + y = x^5 - 2x^4 + 3x^3 - 2x^2$ |
| 2528.a.161792.1 |
2528.a |
\( 2^{5} \cdot 79 \) |
\( 2^{11} \cdot 79 \) |
$1$ |
$2$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.081851\) |
\(17.463105\) |
\(0.357342\) |
$[4308,41769,57202227,20224]$ |
$[4308,745440,167549072,41530152144,161792]$ |
$[1449033801989157/158,29101128101235/79,12146564220993/632]$ |
$y^2 + xy = 8x^5 + 27x^4 + 25x^3 - x^2 - 6x + 1$ |
| 2542.a.5084.1 |
2542.a |
\( 2 \cdot 31 \cdot 41 \) |
\( 2^{2} \cdot 31 \cdot 41 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.012668\) |
\(13.950340\) |
\(0.353443\) |
$[72,936,33003,20336]$ |
$[36,-102,-1999,-20592,5084]$ |
$[15116544/1271,-1189728/1271,-647676/1271]$ |
$y^2 + (x + 1)y = x^5 - 2x^4 + 3x^3 - 2x^2$ |
| 2547.a.7641.1 |
2547.a |
\( 3^{2} \cdot 283 \) |
\( 3^{3} \cdot 283 \) |
$1$ |
$2$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.035721\) |
\(17.122163\) |
\(0.305812\) |
$[108,5913,154755,-978048]$ |
$[27,-216,-256,-13392,-7641]$ |
$[-531441/283,157464/283,6912/283]$ |
$y^2 + (x^3 + 1)y = x^4 + x$ |
| 2563.a.2563.1 |
2563.a |
\( 11 \cdot 233 \) |
\( 11 \cdot 233 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.019415\) |
\(16.672027\) |
\(0.323687\) |
$[212,-6023,-240627,328064]$ |
$[53,368,-8,-33962,2563]$ |
$[418195493/2563,54786736/2563,-22472/2563]$ |
$y^2 + (x^2 + x + 1)y = -x^5 - 2x^2 - x$ |
| 2592.a.5184.1 |
2592.a |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{6} \cdot 3^{4} \) |
$1$ |
$2$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$7$ |
$1$ |
2.120.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.047254\) |
\(15.766665\) |
\(0.372519\) |
$[0,-45,792,648]$ |
$[0,30,704,-225,-5184]$ |
$[0,3125/3456,-110/27]$ |
$y^2 + (x^3 + x)y = -x^4 - x^3 - x^2 - x$ |
