| 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 |
| 6081.b.164187.1 |
6081.b |
\( 3 \cdot 2027 \) |
\( 3^{4} \cdot 2027 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.003504\) |
\(20.379079\) |
\(0.285654\) |
$[804,62697,11560485,21015936]$ |
$[201,-929,4093,-10087,164187]$ |
$[4050375321/2027,-279408827/6081,18373477/18243]$ |
$y^2 + (x^3 + x^2 + 1)y = -2x^4 - 5x^3 + 5x + 2$ |
| 6400.f.64000.1 |
6400.f |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{3} \) |
$2$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\mathrm{M}_2(\Q)\) |
\(\mathsf{CM}\) |
✓ |
$E_4$ |
|
✓ |
|
$C_4$ |
$D_4$ |
$16$ |
$0$ |
2.90.6, 3.540.6 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.067032\) |
\(19.455210\) |
\(0.326031\) |
$[154,310,19480,250]$ |
$[308,3126,-164,-2455597,64000]$ |
$[5413568314/125,713561079/500,-243089/1000]$ |
$y^2 + x^3y = -2x^4 - 3x^3 + x^2 + 6x + 4$ |
| 12588.a.151056.1 |
12588.a |
\( 2^{2} \cdot 3 \cdot 1049 \) |
\( - 2^{4} \cdot 3^{2} \cdot 1049 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.004381\) |
\(17.910292\) |
\(0.470777\) |
$[8,1429,-857,-18882]$ |
$[8,-950,2880,-219865,-151056]$ |
$[-2048/9441,30400/9441,-1280/1049]$ |
$y^2 + y = x^6 - 2x^4 + 2x^2 - x$ |
| 12996.a.467856.1 |
12996.a |
\( 2^{2} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 19^{2} \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$16$ |
$0$ |
2.60.2, 3.90.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(0.002800\) |
\(14.972664\) |
\(0.503012\) |
$[56,1669,28353,58482]$ |
$[56,-982,-7488,-345913,467856]$ |
$[34420736/29241,-10778432/29241,-163072/3249]$ |
$y^2 + y = x^6 + 2x^4 - x^2$ |
| 13580.b.950600.1 |
13580.b |
\( 2^{2} \cdot 5 \cdot 7 \cdot 97 \) |
\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 97 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(0.003767\) |
\(12.504176\) |
\(0.565264\) |
$[252,-9903,2392839,-121676800]$ |
$[63,578,-39876,-711568,-950600]$ |
$[-20253807/19400,-1474767/9700,807489/4850]$ |
$y^2 + (x^3 + x + 1)y = 3x^5 + 3x^4 - x^2 - x$ |
| 22020.b.660600.1 |
22020.b |
\( 2^{2} \cdot 3 \cdot 5 \cdot 367 \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 367 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(0.003480\) |
\(17.866269\) |
\(0.746166\) |
$[1796,143761,68459737,-84556800]$ |
$[449,2410,5796,-801424,-660600]$ |
$[-18248690477249/660600,-21815042609/66060,-32457761/18350]$ |
$y^2 + (x^3 + x + 1)y = 2x^5 - 5x^3 + x$ |
| 26756.a.428096.1 |
26756.a |
\( 2^{2} \cdot 6689 \) |
\( 2^{6} \cdot 6689 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 3^{2} \) |
\(0.006498\) |
\(16.645858\) |
\(0.973447\) |
$[12,42297,2783283,-54796288]$ |
$[3,-1762,-37188,-804052,-428096]$ |
$[-243/428096,23787/214048,83673/107024]$ |
$y^2 + (x^3 + x^2 + x)y = x^4 - 3x^2 - x + 1$ |
| 38052.a.684936.1 |
38052.a |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 151 \) |
\( 2^{3} \cdot 3^{4} \cdot 7 \cdot 151 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(0.004642\) |
\(17.743981\) |
\(0.988401\) |
$[1348,111937,37067937,87671808]$ |
$[337,68,10368,872348,684936]$ |
$[4346598285457/684936,650636801/171234,1817104/1057]$ |
$y^2 + (x^3 + x + 1)y = 8x^3 + 16x^2 + 10x + 2$ |
| 39017.a.39017.1 |
39017.a |
\( 11 \cdot 3547 \) |
\( - 11 \cdot 3547 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.027877\) |
\(18.010487\) |
\(0.502077\) |
$[604,-1943,386715,4994176]$ |
$[151,1031,-797,-295827,39017]$ |
$[78502725751/39017,3549682481/39017,-18172397/39017]$ |
$y^2 + (x^3 + x + 1)y = -x^5 + x$ |
| 44543.a.44543.1 |
44543.a |
\( 44543 \) |
\( 44543 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.030217\) |
\(17.639210\) |
\(0.533002\) |
$[36,7497,-26955,5701504]$ |
$[9,-309,1157,-21267,44543]$ |
$[59049/44543,-225261/44543,93717/44543]$ |
$y^2 + (x^3 + x + 1)y = x^4 - x^2$ |
| 53623.a.53623.1 |
53623.a |
\( 53623 \) |
\( -53623 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.041051\) |
\(16.386560\) |
\(0.672678\) |
$[204,-24519,1305075,6863744]$ |
$[51,1130,-32292,-730948,53623]$ |
$[345025251/53623,149895630/53623,-83991492/53623]$ |
$y^2 + (x^2 + x + 1)y = x^6 - 2x^4 + x^3 - 2x$ |
| 56473.a.56473.1 |
56473.a |
\( 56473 \) |
\( 56473 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.037876\) |
\(18.143501\) |
\(0.687194\) |
$[652,6841,1976179,-7228544]$ |
$[163,822,-4516,-352948,-56473]$ |
$[-115063617043/56473,-3559874034/56473,119985604/56473]$ |
$y^2 + (x^3 + x^2 + x)y = -2x^4 + x^3 - 2x + 1$ |
| 56629.a.56629.1 |
56629.a |
\( 56629 \) |
\( 56629 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.049000\) |
\(14.841003\) |
\(0.727209\) |
$[460,10153,1182123,-7248512]$ |
$[115,128,616,13614,-56629]$ |
$[-20113571875/56629,-194672000/56629,-8146600/56629]$ |
$y^2 + (x^2 + x + 1)y = x^6 - x^2$ |
| 59411.a.59411.1 |
59411.a |
\( 11^{2} \cdot 491 \) |
\( - 11^{2} \cdot 491 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.039854\) |
\(17.372656\) |
\(0.692363\) |
$[56,2068,17600,237644]$ |
$[28,-312,776,-18904,59411]$ |
$[17210368/59411,-6849024/59411,608384/59411]$ |
$y^2 + y = x^6 - x^5 - x^3 + 2x^2 - x$ |
| 61099.a.61099.1 |
61099.a |
\( 61099 \) |
\( -61099 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.032786\) |
\(21.855339\) |
\(0.716544\) |
$[1236,54105,18692061,-7820672]$ |
$[309,1724,2184,-574330,-61099]$ |
$[-2817036000549/61099,-50864256396/61099,-208530504/61099]$ |
$y^2 + (x^3 + 1)y = -3x^4 + 3x^3 + 2x^2 - 2x$ |
| 64829.a.64829.1 |
64829.a |
\( 241 \cdot 269 \) |
\( 241 \cdot 269 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.042084\) |
\(13.638482\) |
\(0.573956\) |
$[252,8745,455643,-8298112]$ |
$[63,-199,627,-25,-64829]$ |
$[-992436543/64829,49759353/64829,-2488563/64829]$ |
$y^2 + (x^3 + x + 1)y = x^4 + x^3 + x^2 + x$ |
| 65167.b.65167.1 |
65167.b |
\( 65167 \) |
\( 65167 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.031573\) |
\(19.721382\) |
\(0.622665\) |
$[1220,34009,12962829,8341376]$ |
$[305,2459,5693,-1077579,65167]$ |
$[2639363440625/65167,69768284875/65167,529591325/65167]$ |
$y^2 + (x^3 + x + 1)y = x^5 - x^4 - 5x^3 - 2x^2 + x$ |
| 66601.a.66601.1 |
66601.a |
\( 66601 \) |
\( 66601 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.034274\) |
\(22.822020\) |
\(0.782194\) |
$[2420,465193,269934933,8524928]$ |
$[605,-4132,20936,-1101786,66601]$ |
$[81054451878125/66601,-915011256500/66601,7663099400/66601]$ |
$y^2 + (x^3 + 1)y = -x^4 + 5x^3 + 16x^2 + 11x + 2$ |
| 71957.a.71957.1 |
71957.a |
\( 47 \cdot 1531 \) |
\( 47 \cdot 1531 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.035808\) |
\(16.997971\) |
\(0.608668\) |
$[132,5001,-172491,9210496]$ |
$[33,-163,4389,29567,71957]$ |
$[39135393/71957,-5857731/71957,4779621/71957]$ |
$y^2 + (x^3 + x + 1)y = 3x^3 + 5x^2 + 2x$ |
| 73753.a.73753.1 |
73753.a |
\( 131 \cdot 563 \) |
\( - 131 \cdot 563 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.055489\) |
\(13.892777\) |
\(0.770898\) |
$[108,-18471,-201501,9440384]$ |
$[27,800,-2928,-179764,73753]$ |
$[14348907/73753,15746400/73753,-2134512/73753]$ |
$y^2 + (x^3 + 1)y = -x^4 - 2x$ |
| 76414.a.152828.1 |
76414.a |
\( 2 \cdot 13 \cdot 2939 \) |
\( 2^{2} \cdot 13 \cdot 2939 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.027400\) |
\(17.522760\) |
\(0.960235\) |
$[360,6576,902493,-611312]$ |
$[180,254,-31977,-1455094,-152828]$ |
$[-47239200000/38207,-370332000/38207,259013700/38207]$ |
$y^2 + (x^3 + x)y = x^5 - 4x^3 - 7x^2 + 4$ |
| 78193.b.78193.1 |
78193.b |
\( 78193 \) |
\( 78193 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.037531\) |
\(21.391787\) |
\(0.802860\) |
$[400,20836,1612552,312772]$ |
$[200,-1806,32272,798191,78193]$ |
$[320000000000/78193,-14448000000/78193,1290880000/78193]$ |
$y^2 + y = x^6 - 5x^5 + 7x^4 - 5x^2 + 2x$ |
| 78947.b.78947.1 |
78947.b |
\( 11 \cdot 7177 \) |
\( - 11 \cdot 7177 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.034250\) |
\(20.157150\) |
\(0.690386\) |
$[92,50425,3709475,10105216]$ |
$[23,-2079,-38069,-1299457,78947]$ |
$[6436343/78947,-2299563/7177,-20138501/78947]$ |
$y^2 + (x^3 + x^2 + 1)y = 2x^3 + 3x^2 - x$ |
| 79337.a.79337.1 |
79337.a |
\( 79337 \) |
\( 79337 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.039917\) |
\(18.569755\) |
\(0.741243\) |
$[1020,28713,10231131,-10155136]$ |
$[255,1513,-18973,-1781821,-79337]$ |
$[-1078203909375/79337,-25087620375/79337,1233719325/79337]$ |
$y^2 + (x^3 + x + 1)y = -x^4 + x^3 - x^2 - 3x + 2$ |
| 81443.a.81443.1 |
81443.a |
\( 23 \cdot 3541 \) |
\( - 23 \cdot 3541 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.052277\) |
\(15.882842\) |
\(0.830306\) |
$[272,-2252,-60808,325772]$ |
$[136,1146,-1600,-382729,81443]$ |
$[46525874176/81443,2882712576/81443,-29593600/81443]$ |
$y^2 + y = x^6 - x^5 - 2x^4 + x^2 + x$ |
| 87379.a.87379.1 |
87379.a |
\( 59 \cdot 1481 \) |
\( 59 \cdot 1481 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.061074\) |
\(14.605566\) |
\(0.892022\) |
$[76,-11495,337251,-11184512]$ |
$[19,494,-7196,-95190,-87379]$ |
$[-2476099/87379,-3388346/87379,2597756/87379]$ |
$y^2 + (x^3 + 1)y = -2x^4 + 2x^3 - x^2 + x$ |
| 87767.a.87767.1 |
87767.a |
\( 87767 \) |
\( 87767 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.045308\) |
\(14.461198\) |
\(0.655214\) |
$[188,-3047,45203,-11234176]$ |
$[47,219,-2045,-36019,-87767]$ |
$[-229345007/87767,-22737237/87767,4517405/87767]$ |
$y^2 + (x^3 + x + 1)y = -x^4 + x^3 - 3x^2 + x$ |
| 88015.a.440075.1 |
88015.a |
\( 5 \cdot 29 \cdot 607 \) |
\( - 5^{2} \cdot 29 \cdot 607 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.038024\) |
\(11.772061\) |
\(0.895240\) |
$[1004,28873,8855963,56329600]$ |
$[251,1422,-2516,-663400,440075]$ |
$[996250626251/440075,22486442922/440075,-158510516/440075]$ |
$y^2 + (x^2 + x + 1)y = x^6 + 2x^5 + 2x^4 - x$ |
| 88034.a.176068.1 |
88034.a |
\( 2 \cdot 44017 \) |
\( 2^{2} \cdot 44017 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.023188\) |
\(19.365591\) |
\(0.898085\) |
$[3028,146233,127602253,22536704]$ |
$[757,17784,513140,18044081,176068]$ |
$[248587563395557/176068,1928666321478/44017,73513590965/44017]$ |
$y^2 + (x^3 + 1)y = 2x^5 - 10x^4 + 11x^3 - 2x^2 - x$ |
| 88149.a.264447.1 |
88149.a |
\( 3 \cdot 29383 \) |
\( - 3^{2} \cdot 29383 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.038490\) |
\(11.188037\) |
\(0.861250\) |
$[440,3796,427888,1057788]$ |
$[220,1384,15768,388376,264447]$ |
$[515363200000/264447,14736832000/264447,84796800/29383]$ |
$y^2 + y = x^6 - x^5 + 3x^4 - 3x^3 + 3x^2 - x$ |
| 88377.a.265131.1 |
88377.a |
\( 3 \cdot 89 \cdot 331 \) |
\( 3^{2} \cdot 89 \cdot 331 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.022099\) |
\(17.854900\) |
\(0.789150\) |
$[2588,159529,160738747,-33936768]$ |
$[647,10795,-410917,-95598831,-265131]$ |
$[-113376071188007/265131,-2923718048285/265131,172013554453/265131]$ |
$y^2 + (x^3 + x^2 + 1)y = -2x^3 - 5x^2 + x + 6$ |
| 88405.a.88405.1 |
88405.a |
\( 5 \cdot 17681 \) |
\( 5 \cdot 17681 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.042428\) |
\(20.763402\) |
\(0.880955\) |
$[200,12148,456080,353620]$ |
$[100,-1608,7880,-449416,88405]$ |
$[2000000000/17681,-321600000/17681,15760000/17681]$ |
$y^2 + y = x^6 - x^5 - 2x^4 + x^3 + 2x^2 - x$ |
| 89339.a.89339.1 |
89339.a |
\( 41 \cdot 2179 \) |
\( - 41 \cdot 2179 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.046208\) |
\(19.102183\) |
\(0.882677\) |
$[140,16633,2297747,11435392]$ |
$[35,-642,-25076,-322456,89339]$ |
$[52521875/89339,-27525750/89339,-30718100/89339]$ |
$y^2 + (x^3 + 1)y = 2x^5 + 4x^4 + x^3 - x^2 - x$ |
| 91427.a.91427.1 |
91427.a |
\( 7 \cdot 37 \cdot 353 \) |
\( - 7 \cdot 37 \cdot 353 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.032619\) |
\(19.952425\) |
\(0.650824\) |
$[164,27097,559661,-11702656]$ |
$[41,-1059,5245,-226609,-91427]$ |
$[-115856201/91427,206763/259,-8816845/91427]$ |
$y^2 + (x^3 + x^2 + 1)y = 2x^4 + 3x^3 - x$ |
| 91457.a.91457.1 |
91457.a |
\( 91457 \) |
\( -91457 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.045057\) |
\(15.992222\) |
\(0.720563\) |
$[164,-2903,-701499,-11706496]$ |
$[41,191,8525,78261,-91457]$ |
$[-115856201/91457,-13163911/91457,-14330525/91457]$ |
$y^2 + (x^3 + x + 1)y = x^3 - 3x^2$ |
| 92482.a.184964.1 |
92482.a |
\( 2 \cdot 13 \cdot 3557 \) |
\( - 2^{2} \cdot 13 \cdot 3557 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.027437\) |
\(15.035062\) |
\(0.825032\) |
$[268,18025,956587,23675392]$ |
$[67,-564,1388,-56275,184964]$ |
$[1350125107/184964,-42407583/46241,1557683/46241]$ |
$y^2 + (x^3 + x^2 + x)y = x^4 + x^3 + x + 1$ |
| 93154.a.186308.1 |
93154.a |
\( 2 \cdot 47 \cdot 991 \) |
\( - 2^{2} \cdot 47 \cdot 991 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.036834\) |
\(12.451677\) |
\(0.917281\) |
$[524,7657,520811,23847424]$ |
$[131,396,9580,274541,186308]$ |
$[38579489651/186308,222561009/46577,41100595/46577]$ |
$y^2 + (x^3 + x^2 + x)y = 2x^2 + x + 1$ |
| 93253.a.93253.1 |
93253.a |
\( 93253 \) |
\( 93253 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.037080\) |
\(19.599707\) |
\(0.726752\) |
$[892,44713,16179867,-11936384]$ |
$[223,209,-83645,-4674129,-93253]$ |
$[-551473077343/93253,-2317719503/93253,4159582205/93253]$ |
$y^2 + (x^3 + x + 1)y = -3x^2 - x + 2$ |
| 93953.a.93953.1 |
93953.a |
\( 47 \cdot 1999 \) |
\( 47 \cdot 1999 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.032640\) |
\(20.851336\) |
\(0.680580\) |
$[516,36393,4187301,12025984]$ |
$[129,-823,1149,-132277,93953]$ |
$[35723051649/93953,-1766725047/93953,19120509/93953]$ |
$y^2 + (x^3 + x + 1)y = 4x^3 + 5x^2 + x$ |
| 97693.b.97693.1 |
97693.b |
\( 211 \cdot 463 \) |
\( 211 \cdot 463 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.045561\) |
\(21.553603\) |
\(0.981995\) |
$[384,16176,1423968,390772]$ |
$[192,-1160,1952,-242704,97693]$ |
$[260919263232/97693,-8210350080/97693,71958528/97693]$ |
$y^2 + x^3y = 6x^3 + 13x^2 + 9x + 2$ |
| 98837.a.98837.1 |
98837.a |
\( 98837 \) |
\( 98837 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.053668\) |
\(16.452150\) |
\(0.882953\) |
$[240,3156,252552,-395348]$ |
$[120,74,-6528,-197209,-98837]$ |
$[-24883200000/98837,-127872000/98837,94003200/98837]$ |
$y^2 + x^3y = 2x^2 - 3x + 1$ |
| 99361.a.99361.1 |
99361.a |
\( 67 \cdot 1483 \) |
\( - 67 \cdot 1483 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.058110\) |
\(16.470420\) |
\(0.957095\) |
$[300,26937,1704339,12718208]$ |
$[75,-888,688,-184236,99361]$ |
$[2373046875/99361,-374625000/99361,3870000/99361]$ |
$y^2 + (x^2 + x + 1)y = x^6 - x^4 + x^3 - x$ |
| 101254.a.202508.1 |
101254.a |
\( 2 \cdot 50627 \) |
\( - 2^{2} \cdot 50627 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.034215\) |
\(15.956164\) |
\(1.091875\) |
$[752,14104,3343865,810032]$ |
$[376,3540,-2977,-3412738,202508]$ |
$[1878794297344/50627,47044277760/50627,-105219088/50627]$ |
$y^2 + xy = x^6 - x^5 - x^4 + 2x^3 - x^2 - x + 1$ |
| 101291.a.101291.1 |
101291.a |
\( 199 \cdot 509 \) |
\( - 199 \cdot 509 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.039402\) |
\(20.813000\) |
\(0.820069\) |
$[64,67360,-4243856,-405164]$ |
$[32,-11184,571408,-26699200,-101291]$ |
$[-33554432/101291,366477312/101291,-585121792/101291]$ |
$y^2 + (x^3 + x^2 + x + 1)y = 4x^3 + 5x^2 - 3x$ |
| 101833.a.101833.1 |
101833.a |
\( 101833 \) |
\( -101833 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
2.10.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.047163\) |
\(19.007974\) |
\(0.896464\) |
$[2892,140937,148622235,13034624]$ |
$[723,15908,-9984,-65070724,101833]$ |
$[197556574179843/101833,6012159229836/101833,-5218926336/101833]$ |
$y^2 + (x^3 + 1)y = -x^4 + x^3 - 6x + 6$ |
| 102347.a.716429.1 |
102347.a |
\( 7 \cdot 14621 \) |
\( 7^{2} \cdot 14621 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.029282\) |
\(14.721064\) |
\(0.862131\) |
$[168,5460,15312,2865716]$ |
$[84,-616,20904,344120,716429]$ |
$[85349376/14621,-7451136/14621,3010176/14621]$ |
$y^2 + x^3y = -x^4 - x^3 + 6x^2 - 5x + 1$ |
| 102553.a.102553.1 |
102553.a |
\( 11 \cdot 9323 \) |
\( 11 \cdot 9323 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.042057\) |
\(17.980070\) |
\(0.756180\) |
$[68,14281,-71979,13126784]$ |
$[17,-583,3821,-68733,102553]$ |
$[1419857/102553,-260389/9323,1104269/102553]$ |
$y^2 + (x^3 + x + 1)y = 2x^4 + 3x^3 + x^2$ |
| 102775.a.513875.1 |
102775.a |
\( 5^{2} \cdot 4111 \) |
\( - 5^{3} \cdot 4111 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.025750\) |
\(18.277956\) |
\(0.941328\) |
$[584,61780,7174640,-2055500]$ |
$[292,-6744,95624,-4389832,-513875]$ |
$[-2122825311232/513875,167905961472/513875,-8153284736/513875]$ |
$y^2 + y = x^6 - 5x^5 + 6x^4 + x^3 - x$ |
| 104948.a.209896.1 |
104948.a |
\( 2^{2} \cdot 26237 \) |
\( - 2^{3} \cdot 26237 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.028811\) |
\(13.171990\) |
\(1.138512\) |
$[348,-8751,-196377,26866688]$ |
$[87,680,-4560,-214780,209896]$ |
$[4984209207/209896,55972755/26237,-4314330/26237]$ |
$y^2 + (x^3 + x + 1)y = x^5 - 2x^4 + x^2 - 2x$ |
| 106823.a.106823.1 |
106823.a |
\( 106823 \) |
\( -106823 \) |
$3$ |
$3$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$16$ |
$0$ |
|
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.054855\) |
\(18.214817\) |
\(0.999169\) |
$[80,2980,251304,427292]$ |
$[40,-430,-22256,-268785,106823]$ |
$[102400000/106823,-27520000/106823,-35609600/106823]$ |
$y^2 + x^3y = -x^4 - 2x^3 + x^2 + 3x + 1$ |
