| 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 |
| 3469.a.3469.1 |
3469.a |
\( 3469 \) |
\( 3469 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.007740\) |
\(25.513186\) |
\(0.197472\) |
$[164,2905,2669,444032]$ |
$[41,-51,1501,14735,3469]$ |
$[115856201/3469,-3514971/3469,2523181/3469]$ |
$y^2 + (x^3 + x + 1)y = x^5 - x^4 - 2x^3$ |
| 3571.a.3571.1 |
3571.a |
\( 3571 \) |
\( -3571 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.007530\) |
\(26.618205\) |
\(0.200441\) |
$[132,3849,30837,-457088]$ |
$[33,-115,1125,5975,-3571]$ |
$[-39135393/3571,4132755/3571,-1225125/3571]$ |
$y^2 + (x^3 + x + 1)y = -2x^4 + x^2 - x$ |
| 4989.a.14967.1 |
4989.a |
\( 3 \cdot 1663 \) |
\( 3^{2} \cdot 1663 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.005446\) |
\(22.834120\) |
\(0.248711\) |
$[452,7129,732301,1915776]$ |
$[113,235,2493,56621,14967]$ |
$[18424351793/14967,339080795/14967,3537013/1663]$ |
$y^2 + (x^3 + x + 1)y = x^5 - 2x^3 + x$ |
| 5170.b.10340.1 |
5170.b |
\( 2 \cdot 5 \cdot 11 \cdot 47 \) |
\( - 2^{2} \cdot 5 \cdot 11 \cdot 47 \) |
$2$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.15.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.024368\) |
\(23.616767\) |
\(0.287741\) |
$[460,9049,1961635,1323520]$ |
$[115,174,-11680,-343369,10340]$ |
$[4022714375/2068,26463225/1034,-7723400/517]$ |
$y^2 + (x^3 + x^2 + x)y = -2x^2 - x + 1$ |
| 5295.a.79425.1 |
5295.a |
\( 3 \cdot 5 \cdot 353 \) |
\( - 3^{2} \cdot 5^{2} \cdot 353 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.003932\) |
\(16.269634\) |
\(0.255908\) |
$[604,13993,2586683,10166400]$ |
$[151,367,-3501,-165835,79425]$ |
$[78502725751/79425,1263563017/79425,-8869589/8825]$ |
$y^2 + (x^3 + x^2 + 1)y = -x^3 + 3x + 2$ |
| 5331.a.15993.1 |
5331.a |
\( 3 \cdot 1777 \) |
\( 3^{2} \cdot 1777 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.005864\) |
\(21.887650\) |
\(0.256680\) |
$[68,8329,84469,2047104]$ |
$[17,-335,477,-26029,15993]$ |
$[1419857/15993,-1645855/15993,15317/1777]$ |
$y^2 + (x^3 + x + 1)y = -x^4 + x^3 + x^2 - x$ |
| 5547.b.16641.1 |
5547.b |
\( 3 \cdot 43^{2} \) |
\( 3^{2} \cdot 43^{2} \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$14$ |
$0$ |
2.30.2, 3.90.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.006279\) |
\(24.460380\) |
\(0.307178\) |
$[520,6292,896816,66564]$ |
$[260,1768,16776,308984,16641]$ |
$[1188137600000/16641,31074368000/16641,126006400/1849]$ |
$y^2 + y = x^6 - 3x^5 + x^4 + 3x^3 - x^2 - x$ |
| 5769.b.17307.1 |
5769.b |
\( 3^{2} \cdot 641 \) |
\( - 3^{3} \cdot 641 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.005378\) |
\(24.769580\) |
\(0.266444\) |
$[324,19881,1386405,-2215296]$ |
$[81,-555,613,-64593,-17307]$ |
$[-129140163/641,10924065/641,-148959/641]$ |
$y^2 + (x^3 + x + 1)y = x^5 - 3x^3$ |
| 6201.a.241839.1 |
6201.a |
\( 3^{2} \cdot 13 \cdot 53 \) |
\( - 3^{3} \cdot 13^{2} \cdot 53 \) |
$2$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.15.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.018010\) |
\(18.300731\) |
\(0.329589\) |
$[1260,869193,638706267,30955392]$ |
$[315,-32082,-5629636,-700647516,241839]$ |
$[114865340625/8957,-37138925250/8957,-20688912300/8957]$ |
$y^2 + (x^3 + 1)y = 2x^5 - 13x^3 + 21x^2 - 12x + 2$ |
| 6291.e.56619.1 |
6291.e |
\( 3^{3} \cdot 233 \) |
\( - 3^{5} \cdot 233 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.004819\) |
\(20.215601\) |
\(0.292232\) |
$[132,20745,608373,-7247232]$ |
$[33,-819,-443,-171345,-56619]$ |
$[-161051/233,121121/233,53603/6291]$ |
$y^2 + (x^3 + x + 1)y = 2x^4 - x^2 - x$ |
| 7004.a.28016.1 |
7004.a |
\( 2^{2} \cdot 17 \cdot 103 \) |
\( 2^{4} \cdot 17 \cdot 103 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.005073\) |
\(22.353874\) |
\(0.340195\) |
$[72,789,10647,3502]$ |
$[72,-310,1920,10535,28016]$ |
$[120932352/1751,-7231680/1751,622080/1751]$ |
$y^2 + y = x^6 - 4x^4 - 4x^3 + x$ |
| 7389.a.22167.1 |
7389.a |
\( 3^{2} \cdot 821 \) |
\( 3^{3} \cdot 821 \) |
$2$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.15.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.039437\) |
\(18.389087\) |
\(0.362602\) |
$[588,9945,1746243,-2837376]$ |
$[147,486,20,-58314,-22167]$ |
$[-2542277241/821,-57177414/821,-48020/2463]$ |
$y^2 + (x^3 + x^2 + x)y = -2x^4 + x^2 - 2x + 1$ |
| 8204.a.32816.1 |
8204.a |
\( 2^{2} \cdot 7 \cdot 293 \) |
\( 2^{4} \cdot 7 \cdot 293 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.006769\) |
\(18.140318\) |
\(0.368388\) |
$[72,357,9729,-4102]$ |
$[72,-22,-3024,-54553,-32816]$ |
$[-120932352/2051,513216/2051,139968/293]$ |
$y^2 + y = x^6 - 2x^3 + 2x^2 - x$ |
| 8212.a.32848.1 |
8212.a |
\( 2^{2} \cdot 2053 \) |
\( - 2^{4} \cdot 2053 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.006501\) |
\(22.280189\) |
\(0.434516\) |
$[120,8016,496932,131392]$ |
$[60,-1186,-32448,-838369,32848]$ |
$[48600000/2053,-16011000/2053,-7300800/2053]$ |
$y^2 + (x^3 + x)y = 2x^3 - x^2 - 2x + 1$ |
| 8450.c.84500.1 |
8450.c |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{3} \cdot 13^{2} \) |
$2$ |
$3$ |
$\Z/6\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$14$ |
$0$ |
2.180.4, 3.720.4 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.109881\) |
\(20.369950\) |
\(0.373047\) |
$[1972,60889,35769757,10816000]$ |
$[493,7590,128000,1373975,84500]$ |
$[29122898485693/84500,90945776163/8450,62220544/169]$ |
$y^2 + (x^3 + 1)y = -5x^4 + 10x^3 - 5x^2$ |
| 8452.a.16904.1 |
8452.a |
\( 2^{2} \cdot 2113 \) |
\( 2^{3} \cdot 2113 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.006277\) |
\(23.655401\) |
\(0.445472\) |
$[900,20193,5380497,2163712]$ |
$[225,1268,4224,-164356,16904]$ |
$[576650390625/16904,3610828125/4226,26730000/2113]$ |
$y^2 + (x^3 + x + 1)y = x^5 - 2x^4 - 3x^3 + x^2 + x$ |
| 8588.a.34352.1 |
8588.a |
\( 2^{2} \cdot 19 \cdot 113 \) |
\( 2^{4} \cdot 19 \cdot 113 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.007661\) |
\(19.413626\) |
\(0.446187\) |
$[192,1644,150180,-137408]$ |
$[96,110,-7332,-178993,-34352]$ |
$[-509607936/2147,-6082560/2147,4223232/2147]$ |
$y^2 + (x^2 + 1)y = x^6 - x^4 - x^3 + x$ |
| 8649.a.77841.1 |
8649.a |
\( 3^{2} \cdot 31^{2} \) |
\( 3^{4} \cdot 31^{2} \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\mathsf{RM}\) |
\(\mathsf{RM}\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.120.2, 3.432.4 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.004685\) |
\(18.142300\) |
\(0.339965\) |
$[92,17689,603507,-9963648]$ |
$[23,-715,-3645,-148765,-77841]$ |
$[-6436343/77841,8699405/77841,23805/961]$ |
$y^2 + (x^3 + x + 1)y = x^3 + x^2 - 2x$ |
| 9188.a.18376.1 |
9188.a |
\( 2^{2} \cdot 2297 \) |
\( - 2^{3} \cdot 2297 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.006963\) |
\(22.329987\) |
\(0.466430\) |
$[228,7233,84993,-2352128]$ |
$[57,-166,4020,50396,-18376]$ |
$[-601692057/18376,15371019/9188,-3265245/4594]$ |
$y^2 + (x^3 + x + 1)y = x^4 - 2x^2 - x$ |
| 9585.a.86265.1 |
9585.a |
\( 3^{3} \cdot 5 \cdot 71 \) |
\( - 3^{5} \cdot 5 \cdot 71 \) |
$2$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.15.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.033545\) |
\(17.208694\) |
\(0.432943\) |
$[1260,9,6592635,11041920]$ |
$[315,4134,-19180,-5782914,86265]$ |
$[2552563125/71,106347150/71,-4699100/213]$ |
$y^2 + (x^3 + 1)y = -2x^4 + 3x^3 - 3x^2 + 2$ |
| 9771.a.29313.1 |
9771.a |
\( 3 \cdot 3257 \) |
\( - 3^{2} \cdot 3257 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.010535\) |
\(19.729950\) |
\(0.415702\) |
$[364,17689,1923203,3752064]$ |
$[91,-392,-6336,-182560,29313]$ |
$[6240321451/29313,-295399832/29313,-5829824/3257]$ |
$y^2 + (x^2 + x + 1)y = x^6 + x^3 - x^2 - x$ |
| 10005.b.450225.1 |
10005.b |
\( 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( 3^{3} \cdot 5^{2} \cdot 23 \cdot 29 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.20.2 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.003683\) |
\(16.517374\) |
\(0.365023\) |
$[444,108777,21372411,-57628800]$ |
$[111,-4019,-153925,-8309509,-450225]$ |
$[-624095613/16675,203574407/16675,8428933/2001]$ |
$y^2 + (x^3 + x + 1)y = -2x^4 + 3x^2 + x + 2$ |
| 10996.a.43984.1 |
10996.a |
\( 2^{2} \cdot 2749 \) |
\( - 2^{4} \cdot 2749 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.007712\) |
\(18.109572\) |
\(0.419006\) |
$[72,69,8433,5498]$ |
$[72,170,-5712,-110041,43984]$ |
$[120932352/2749,3965760/2749,-1850688/2749]$ |
$y^2 + (x^3 + x^2 + x + 1)y = -x^4 - 2x$ |
| 11079.b.33237.1 |
11079.b |
\( 3^{2} \cdot 1231 \) |
\( - 3^{3} \cdot 1231 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.006363\) |
\(21.219427\) |
\(0.405043\) |
$[484,9673,1060021,-4254336]$ |
$[121,207,2925,77769,-33237]$ |
$[-25937424601/33237,-40745903/3693,-4758325/3693]$ |
$y^2 + (x^3 + x + 1)y = 3x^5 + 5x^4 + 2x^3$ |
| 11529.a.726327.1 |
11529.a |
\( 3^{3} \cdot 7 \cdot 61 \) |
\( 3^{5} \cdot 7^{2} \cdot 61 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.003877\) |
\(17.730933\) |
\(0.412497\) |
$[1572,162441,61761429,92969856]$ |
$[393,-333,21589,2093397,726327]$ |
$[38579489651/2989,-83179367/2989,370488829/80703]$ |
$y^2 + (x^3 + x + 1)y = -3x^4 + 5x^2$ |
| 11751.b.105759.1 |
11751.b |
\( 3 \cdot 3917 \) |
\( - 3^{3} \cdot 3917 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.006222\) |
\(20.723528\) |
\(0.386795\) |
$[516,41385,4850661,-13537152]$ |
$[129,-1031,-611,-285445,-105759]$ |
$[-1323075987/3917,81971717/3917,1129739/11751]$ |
$y^2 + (x^3 + x + 1)y = -2x^4 + 3x^2 - x$ |
| 11944.a.95552.1 |
11944.a |
\( 2^{3} \cdot 1493 \) |
\( - 2^{6} \cdot 1493 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.004657\) |
\(19.235030\) |
\(0.537436\) |
$[40,5536,15052,-382208]$ |
$[20,-906,3472,-187849,-95552]$ |
$[-50000/1493,113250/1493,-21700/1493]$ |
$y^2 + (x^3 + x)y = x^5 - 2x^3 - x^2 + x + 1$ |
| 12105.a.181575.1 |
12105.a |
\( 3^{2} \cdot 5 \cdot 269 \) |
\( 3^{3} \cdot 5^{2} \cdot 269 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.004726\) |
\(14.737062\) |
\(0.417877\) |
$[100,4009,-513275,23241600]$ |
$[25,-141,8325,47061,181575]$ |
$[390625/7263,-29375/2421,23125/807]$ |
$y^2 + (x^3 + x + 1)y = -x^4 + 3x^2 + 2x$ |
| 12700.a.25400.1 |
12700.a |
\( 2^{2} \cdot 5^{2} \cdot 127 \) |
\( 2^{3} \cdot 5^{2} \cdot 127 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
3.40.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.008095\) |
\(22.455917\) |
\(0.545362\) |
$[708,14865,2575065,3251200]$ |
$[177,686,7524,215288,25400]$ |
$[173726604657/25400,1902014919/12700,58929849/6350]$ |
$y^2 + (x^3 + x + 1)y = x^5 - 3x^3 - x^2 + x$ |
| 13006.b.832384.1 |
13006.b |
\( 2 \cdot 7 \cdot 929 \) |
\( - 2^{7} \cdot 7 \cdot 929 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 7 \) |
\(0.005091\) |
\(15.777628\) |
\(0.562269\) |
$[168,13020,467967,-3329536]$ |
$[84,-1876,9,-879655,-832384]$ |
$[-4667544/929,1240974/929,-567/7432]$ |
$y^2 + (x^3 + x)y = -2x^4 + 4x^2 - 3x + 1$ |
| 13016.a.104128.1 |
13016.a |
\( 2^{3} \cdot 1627 \) |
\( - 2^{6} \cdot 1627 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.005609\) |
\(16.719158\) |
\(0.562656\) |
$[192,3804,219300,416512]$ |
$[96,-250,-5412,-145513,104128]$ |
$[127401984/1627,-3456000/1627,-779328/1627]$ |
$y^2 + (x^3 + x)y = x^3 - x^2 - x + 1$ |
| 14724.a.88344.1 |
14724.a |
\( 2^{2} \cdot 3^{2} \cdot 409 \) |
\( 2^{3} \cdot 3^{3} \cdot 409 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.006321\) |
\(16.321469\) |
\(0.618998\) |
$[132,7569,34137,11308032]$ |
$[33,-270,2500,2400,88344]$ |
$[1449459/3272,-179685/1636,75625/2454]$ |
$y^2 + (x^3 + x + 1)y = -x^5 - x^4 + x^2 - x$ |
| 15256.a.122048.1 |
15256.a |
\( 2^{3} \cdot 1907 \) |
\( 2^{6} \cdot 1907 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.005663\) |
\(17.793229\) |
\(0.604627\) |
$[96,4236,213492,-488192]$ |
$[48,-610,-14052,-261649,-122048]$ |
$[-3981312/1907,1054080/1907,505872/1907]$ |
$y^2 + (x + 1)y = x^6 - x^4 + 2x^2 + x$ |
| 16034.a.32068.1 |
16034.a |
\( 2 \cdot 8017 \) |
\( 2^{2} \cdot 8017 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.012634\) |
\(18.780890\) |
\(0.474559\) |
$[460,4297,917851,-4104704]$ |
$[115,372,-3508,-135451,-32068]$ |
$[-20113571875/32068,-141441375/8017,11598325/8017]$ |
$y^2 + (x^3 + 1)y = x^5 + x^4 + x^3 + x^2 - x$ |
| 16180.a.161800.1 |
16180.a |
\( 2^{2} \cdot 5 \cdot 809 \) |
\( 2^{3} \cdot 5^{2} \cdot 809 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.005576\) |
\(19.517026\) |
\(0.652985\) |
$[484,69361,6564553,20710400]$ |
$[121,-2280,10064,-995164,161800]$ |
$[25937424601/161800,-100978977/4045,18418378/20225]$ |
$y^2 + (x^3 + x + 1)y = x^5 + 4x^4 - x^2$ |
| 16719.a.451413.1 |
16719.a |
\( 3 \cdot 5573 \) |
\( - 3^{4} \cdot 5573 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.007582\) |
\(16.023546\) |
\(0.485972\) |
$[100,32713,608309,-57780864]$ |
$[25,-1337,1053,-440311,-451413]$ |
$[-9765625/451413,20890625/451413,-8125/5573]$ |
$y^2 + (x^3 + x + 1)y = -x^4 + 3x^2 - 2x$ |
| 16767.b.452709.1 |
16767.b |
\( 3^{6} \cdot 23 \) |
\( - 3^{9} \cdot 23 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.005722\) |
\(14.051090\) |
\(0.482384\) |
$[404,4401,553881,238464]$ |
$[303,2175,-4405,-1516335,452709]$ |
$[10510100501/1863,746968225/5589,-44935405/50301]$ |
$y^2 + (x^3 + x^2 + 1)y = -x^2 - x + 2$ |
| 17364.a.937656.1 |
17364.a |
\( 2^{2} \cdot 3 \cdot 1447 \) |
\( 2^{3} \cdot 3^{4} \cdot 1447 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(0.004697\) |
\(12.514330\) |
\(0.705312\) |
$[348,30225,3242247,-120019968]$ |
$[87,-944,-13072,-507100,-937656]$ |
$[-61533447/11576,2877902/4341,1374194/13023]$ |
$y^2 + (x^3 + x + 1)y = x^5 + 2x^4 - x^2 - 2x$ |
| 18080.c.723200.1 |
18080.c |
\( 2^{5} \cdot 5 \cdot 113 \) |
\( - 2^{8} \cdot 5^{2} \cdot 113 \) |
$2$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.90.1 |
✓ |
✓ |
$1$ |
\( 2^{3} \) |
\(0.022197\) |
\(14.767439\) |
\(0.655575\) |
$[148,2917,148783,90400]$ |
$[148,-1032,-44800,-1923856,723200]$ |
$[277375828/2825,-13068474/2825,-153328/113]$ |
$y^2 + xy = x^6 - 2x^5 + x^3 + x^2 - 2x + 1$ |
| 18252.a.328536.1 |
18252.a |
\( 2^{2} \cdot 3^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{5} \cdot 13^{2} \) |
$2$ |
$2$ |
$\Z/3\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
3.960.1 |
✓ |
✓ |
$1$ |
\( 3^{2} \) |
\(0.041339\) |
\(17.410898\) |
\(0.719748\) |
$[324,46449,-287703,42052608]$ |
$[81,-1662,48772,297072,328536]$ |
$[14348907/1352,-1817397/676,329211/338]$ |
$y^2 + (x^3 + x + 1)y = -x^4 + 2x^3 + 2x^2 - 3x$ |
| 18624.b.446976.1 |
18624.b |
\( 2^{6} \cdot 3 \cdot 97 \) |
\( - 2^{9} \cdot 3^{2} \cdot 97 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 2^{3} \) |
\(0.005490\) |
\(16.051741\) |
\(0.704939\) |
$[52,2809,60767,55872]$ |
$[52,-1760,-26640,-1120720,446976]$ |
$[742586/873,-483340/873,-31265/194]$ |
$y^2 + (x^3 + x)y = -x^4 + 4x^2 - 4x + 1$ |
| 19881.b.536787.1 |
19881.b |
\( 3^{2} \cdot 47^{2} \) |
\( - 3^{5} \cdot 47^{2} \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$14$ |
$0$ |
2.15.2, 3.270.3 |
✓ |
✓ |
$1$ |
\( 7 \) |
\(0.006845\) |
\(14.077459\) |
\(0.674567\) |
$[440,1012,425408,2147148]$ |
$[220,1848,-12312,-1530936,536787]$ |
$[515363200000/536787,6559168000/178929,-7356800/6627]$ |
$y^2 + y = x^6 - 3x^5 + 2x^4 + x^3 - 2x^2 + x$ |
| 20096.b.160768.1 |
20096.b |
\( 2^{7} \cdot 157 \) |
\( - 2^{10} \cdot 157 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.10.1, 3.40.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.010124\) |
\(16.853673\) |
\(0.682515\) |
$[24,1680,7572,20096]$ |
$[24,-1096,768,-295696,160768]$ |
$[7776/157,-14796/157,432/157]$ |
$y^2 + (x^2 + 1)y = x^6 - 2x^4 - x^3 + x^2 + x$ |
| 20172.b.968256.1 |
20172.b |
\( 2^{2} \cdot 3 \cdot 41^{2} \) |
\( - 2^{6} \cdot 3^{2} \cdot 41^{2} \) |
$2$ |
$3$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$14$ |
$2$ |
2.90.3, 3.90.1 |
✓ |
✓ |
$1$ |
\( 2^{3} \) |
\(0.017832\) |
\(16.482904\) |
\(0.587846\) |
$[68,193729,-27415199,-123936768]$ |
$[17,-8060,418896,-14460592,-968256]$ |
$[-1419857/968256,9899695/242064,-840701/6724]$ |
$y^2 + (x^2 + x)y = x^6 - x^5 - 2x^4 + 4x^3 - 3x + 1$ |
| 20532.b.123192.1 |
20532.b |
\( 2^{2} \cdot 3 \cdot 29 \cdot 59 \) |
\( 2^{3} \cdot 3^{2} \cdot 29 \cdot 59 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.006940\) |
\(17.274510\) |
\(0.719338\) |
$[988,11089,6525479,-15768576]$ |
$[247,2080,-24048,-2566564,-123192]$ |
$[-919358226007/123192,-3917997980/15399,20377006/1711]$ |
$y^2 + (x^3 + x + 1)y = 2x^6 - 3x^4 - x$ |
| 22112.b.353792.1 |
22112.b |
\( 2^{5} \cdot 691 \) |
\( 2^{9} \cdot 691 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2^{3} \) |
\(0.006891\) |
\(15.848051\) |
\(0.873731\) |
$[84,1113,12381,44224]$ |
$[84,-448,7680,111104,353792]$ |
$[8168202/691,-518616/691,105840/691]$ |
$y^2 + y = x^6 - 6x^4 - 9x^3 - 4x^2$ |
| 22131.a.199179.1 |
22131.a |
\( 3^{2} \cdot 2459 \) |
\( - 3^{4} \cdot 2459 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 5 \) |
\(0.006175\) |
\(18.615626\) |
\(0.574736\) |
$[508,73225,17430667,25494912]$ |
$[127,-2379,-129717,-5533425,199179]$ |
$[33038369407/199179,-1624367719/66393,-232467277/22131]$ |
$y^2 + (x^3 + x + 1)y = 2x^6 - 4x^4 + x^2 - x$ |
| 22556.a.721792.1 |
22556.a |
\( 2^{2} \cdot 5639 \) |
\( - 2^{7} \cdot 5639 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 11 \) |
\(0.004973\) |
\(16.481143\) |
\(0.901630\) |
$[468,62745,2790333,-92389376]$ |
$[117,-2044,49920,415676,-721792]$ |
$[-21924480357/721792,818424243/180448,-5338710/5639]$ |
$y^2 + (x^3 + 1)y = 3x^3 + 2x^2 - 2x$ |
| 23412.a.140472.1 |
23412.a |
\( 2^{2} \cdot 3 \cdot 1951 \) |
\( - 2^{3} \cdot 3^{2} \cdot 1951 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.006487\) |
\(19.453485\) |
\(0.757177\) |
$[548,27745,3116593,-17980416]$ |
$[137,-374,6660,193136,-140472]$ |
$[-48261724457/140472,480843011/70236,-3472265/3902]$ |
$y^2 + (x^3 + x + 1)y = 2x^4 + x^3 - 2x^2 - x$ |
| 24704.a.790528.1 |
24704.a |
\( 2^{7} \cdot 193 \) |
\( - 2^{12} \cdot 193 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$14$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 2^{3} \) |
\(0.007472\) |
\(15.422385\) |
\(0.921871\) |
$[24,852,10344,3088]$ |
$[48,-2176,-43008,-1699840,790528]$ |
$[62208/193,-58752/193,-24192/193]$ |
$y^2 + x^3y = 6x^3 + 14x^2 + 12x + 4$ |
