| 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 |
| 249.a.249.1 |
249.a |
\( 3 \cdot 83 \) |
\( 3 \cdot 83 \) |
$0$ |
$1$ |
$\Z/14\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$5$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(25.783703\) |
\(0.131550\) |
$[108,57,2259,-31872]$ |
$[27,28,32,20,-249]$ |
$[-4782969/83,-183708/83,-7776/83]$ |
$y^2 + (x^3 + 1)y = x^2 + x$ |
| 295.a.295.1 |
295.a |
\( 5 \cdot 59 \) |
\( - 5 \cdot 59 \) |
$0$ |
$1$ |
$\Z/14\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$5$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(29.256600\) |
\(0.149268\) |
$[108,-39,20835,37760]$ |
$[27,32,-256,-1984,295]$ |
$[14348907/295,629856/295,-186624/295]$ |
$y^2 + (x^3 + 1)y = -x^2$ |
| 427.a.2989.1 |
427.a |
\( 7 \cdot 61 \) |
\( - 7^{2} \cdot 61 \) |
$0$ |
$1$ |
$\Z/14\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(18.613176\) |
\(0.189930\) |
$[4564,-22439,-35962915,-382592]$ |
$[1141,55180,3641688,277583402,-2989]$ |
$[-39466820645749/61,-1672794336220/61,-96756008472/61]$ |
$y^2 + (x^3 + 1)y = x^5 - x^4 - 5x^3 + 4x^2 + 4x - 4$ |
| 1136.a.9088.1 |
1136.a |
\( 2^{4} \cdot 71 \) |
\( - 2^{7} \cdot 71 \) |
$0$ |
$1$ |
$\Z/14\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$0$ |
2.15.1 |
✓ |
✓ |
$1$ |
\( 7 \) |
\(1.000000\) |
\(13.476708\) |
\(0.481311\) |
$[432,1368,174708,36352]$ |
$[216,1716,17596,214020,9088]$ |
$[3673320192/71,135104112/71,6413742/71]$ |
$y^2 + (x^3 + x)y = x^4 - x^3 + 2x^2 - x + 1$ |
| 1136.a.290816.1 |
1136.a |
\( 2^{4} \cdot 71 \) |
\( 2^{12} \cdot 71 \) |
$0$ |
$1$ |
$\Z/14\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 7 \) |
\(1.000000\) |
\(13.476708\) |
\(0.481311\) |
$[9252,17217,52921881,36352]$ |
$[9252,3555168,1815712832,1039938903360,290816]$ |
$[66203075280122793/284,1374792164318403/142,151781365064097/284]$ |
$y^2 + (x^3 + x^2)y = -5x^4 - 9x^3 + 25x^2 + 40x - 24$ |
| 1521.a.41067.1 |
1521.a |
\( 3^{2} \cdot 13^{2} \) |
\( - 3^{5} \cdot 13^{2} \) |
$0$ |
$1$ |
$\Z/14\Z$ |
\(\mathsf{RM}\) |
\(\mathsf{RM}\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$0$ |
2.180.4, 3.72.2 |
✓ |
✓ |
$1$ |
\( 7 \) |
\(1.000000\) |
\(10.697133\) |
\(0.382040\) |
$[1484,34537,14709515,5256576]$ |
$[371,4296,62208,1155888,41067]$ |
$[7028611650851/41067,73124809352/13689,35236096/169]$ |
$y^2 + (x^3 + 1)y = x^4 + x^3 + 4x^2 + 3x + 2$ |
| 1684.a.215552.1 |
1684.a |
\( 2^{2} \cdot 421 \) |
\( 2^{9} \cdot 421 \) |
$0$ |
$1$ |
$\Z/14\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2 \cdot 7 \) |
\(1.000000\) |
\(7.860279\) |
\(0.561449\) |
$[868,5449,2905493,27590656]$ |
$[217,1735,-3015,-916120,215552]$ |
$[481170140857/215552,17728773055/215552,-141973335/215552]$ |
$y^2 + (x^2 + x)y = x^5 - x^4 + 2x^3 - x^2 + 2x$ |
| 2848.b.364544.1 |
2848.b |
\( 2^{5} \cdot 89 \) |
\( 2^{12} \cdot 89 \) |
$0$ |
$1$ |
$\Z/14\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$5$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 7 \) |
\(1.000000\) |
\(11.423636\) |
\(0.815974\) |
$[36,-1119,-11655,-45568]$ |
$[36,800,3008,-132928,-364544]$ |
$[-59049/356,-18225/178,-3807/356]$ |
$y^2 + (x + 1)y = x^6 - x^4 + x^3 + 2x^2 + x$ |
| 4136.c.132352.1 |
4136.c |
\( 2^{3} \cdot 11 \cdot 47 \) |
\( - 2^{8} \cdot 11 \cdot 47 \) |
$0$ |
$1$ |
$\Z/14\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2 \cdot 7 \) |
\(1.000000\) |
\(14.568029\) |
\(1.040574\) |
$[3296,4528,4834012,-529408]$ |
$[1648,112408,10169028,1030749920,-132352]$ |
$[-47483866083328/517,-1965300105856/517,-107883218052/517]$ |
$y^2 + (x + 1)y = 2x^5 + 8x^4 - 12x^2 - 9x - 2$ |
| 4344.a.834048.1 |
4344.a |
\( 2^{3} \cdot 3 \cdot 181 \) |
\( - 2^{9} \cdot 3^{2} \cdot 181 \) |
$0$ |
$1$ |
$\Z/14\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3 |
✓ |
✓ |
$1$ |
\( 2 \cdot 7 \) |
\(1.000000\) |
\(12.023519\) |
\(0.858823\) |
$[2532,-411,-630483,-104256]$ |
$[2532,267400,37943440,6142507520,-834048]$ |
$[-22584268910754/181,-941976431025/181,-105579993265/362]$ |
$y^2 + (x + 1)y = 4x^5 - 7x^4 + 3x^3 + 7x^2 + 2x$ |
| 4648.c.148736.1 |
4648.c |
\( 2^{3} \cdot 7 \cdot 83 \) |
\( 2^{8} \cdot 7 \cdot 83 \) |
$0$ |
$1$ |
$\Z/14\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$5$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 7 \) |
\(1.000000\) |
\(13.958750\) |
\(0.997054\) |
$[288,3408,264996,-594944]$ |
$[144,296,188,-15136,-148736]$ |
$[-241864704/581,-3452544/581,-15228/581]$ |
$y^2 + (x^3 + x)y = x^3 + 2x^2 + 3x + 1$ |
| 5088.b.651264.1 |
5088.b |
\( 2^{5} \cdot 3 \cdot 53 \) |
\( - 2^{12} \cdot 3 \cdot 53 \) |
$0$ |
$1$ |
$\Z/14\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$5$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 7 \) |
\(1.000000\) |
\(12.939431\) |
\(0.924245\) |
$[84,-1383,25797,81408]$ |
$[84,1216,-43072,-1274176,651264]$ |
$[1361367/212,58653/53,-98931/212]$ |
$y^2 + (x + 1)y = x^6 - 3x^4 + x^3$ |
