| 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 |
| 1062.a.6372.1 |
1062.a |
\( 2 \cdot 3^{2} \cdot 59 \) |
\( 2^{2} \cdot 3^{3} \cdot 59 \) |
$1$ |
$2$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.008698\) |
\(21.575863\) |
\(0.187677\) |
$[300,2601,306603,-815616]$ |
$[75,126,-1024,-23169,-6372]$ |
$[-87890625/236,-984375/118,160000/177]$ |
$y^2 + (x^3 + 1)y = x^5 - x^4 + x^2 - x$ |
| 2148.a.77328.1 |
2148.a |
\( 2^{2} \cdot 3 \cdot 179 \) |
\( 2^{4} \cdot 3^{3} \cdot 179 \) |
$1$ |
$1$ |
$\Z/3\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 3^{2} \) |
\(0.021348\) |
\(15.754531\) |
\(0.336321\) |
$[96,1596,63636,-309312]$ |
$[48,-170,-3268,-46441,-77328]$ |
$[-589824/179,43520/179,52288/537]$ |
$y^2 + (x^3 + x)y = x^4 - 3x^3 + 3x^2 - x$ |
| 3456.a.248832.1 |
3456.a |
\( 2^{7} \cdot 3^{3} \) |
\( - 2^{10} \cdot 3^{5} \) |
$1$ |
$2$ |
$\Z/6\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.60.1, 3.2880.5 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(0.083835\) |
\(15.671354\) |
\(0.437937\) |
$[72,144,-38412,-31104]$ |
$[72,120,36928,661104,-248832]$ |
$[-7776,-180,-2308/3]$ |
$y^2 + xy = x^6 + x^4 - 2x^3 - x^2 + x$ |
| 3492.a.670464.1 |
3492.a |
\( 2^{2} \cdot 3^{2} \cdot 97 \) |
\( 2^{8} \cdot 3^{3} \cdot 97 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 13 \) |
\(0.001224\) |
\(15.925988\) |
\(0.506944\) |
$[180,44505,-604035,85819392]$ |
$[45,-1770,31780,-425700,670464]$ |
$[6834375/24832,-2986875/12416,595875/6208]$ |
$y^2 + (x^3 + 1)y = x^5 - 3x^3 + 3x + 2$ |
| 4512.b.324864.1 |
4512.b |
\( 2^{5} \cdot 3 \cdot 47 \) |
\( 2^{8} \cdot 3^{3} \cdot 47 \) |
$1$ |
$1$ |
$\Z/3\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(0.019713\) |
\(18.747892\) |
\(0.492779\) |
$[312,4512,357234,40608]$ |
$[312,1048,13456,774992,324864]$ |
$[427729536/47,4604912/47,568516/141]$ |
$y^2 + xy = x^6 - 3x^4 + 3x^2 - x$ |
| 5532.a.265536.1 |
5532.a |
\( 2^{2} \cdot 3 \cdot 461 \) |
\( 2^{6} \cdot 3^{2} \cdot 461 \) |
$1$ |
$1$ |
$\Z/3\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3^{2} \) |
\(0.021061\) |
\(15.074844\) |
\(0.634985\) |
$[460,14857,2631131,-33988608]$ |
$[115,-68,-13248,-382036,-265536]$ |
$[-20113571875/265536,25854875/66384,304175/461]$ |
$y^2 + (x^3 + x^2 + x)y = x^3 - x^2 - x + 1$ |
| 6443.a.6443.1 |
6443.a |
\( 17 \cdot 379 \) |
\( - 17 \cdot 379 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.013845\) |
\(24.118331\) |
\(0.333926\) |
$[320,1360,111776,-25772]$ |
$[160,840,7136,109040,-6443]$ |
$[-104857600000/6443,-3440640000/6443,-182681600/6443]$ |
$y^2 + y = x^5 - x^4 - 2x^3 + x^2 + x$ |
| 6672.a.720576.1 |
6672.a |
\( 2^{4} \cdot 3 \cdot 139 \) |
\( - 2^{6} \cdot 3^{4} \cdot 139 \) |
$1$ |
$3$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$3$ |
2.120.3 |
✓ |
✓ |
$1$ |
\( 2^{4} \) |
\(0.157524\) |
\(15.891057\) |
\(0.625807\) |
$[728,15256,3297276,-2882304]$ |
$[364,2978,2368,-2001633,-720576]$ |
$[-99845143216/11259,-2244134438/11259,-4902352/11259]$ |
$y^2 + xy = 2x^5 - 4x^4 - x^3 + 5x^2 - 2x$ |
| 7211.a.7211.1 |
7211.a |
\( 7211 \) |
\( -7211 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.018551\) |
\(19.324188\) |
\(0.358483\) |
$[76,-1415,40659,923008]$ |
$[19,74,-860,-5454,7211]$ |
$[2476099/7211,507566/7211,-310460/7211]$ |
$y^2 + (x^3 + 1)y = -x^4 + 2x^3 - 2x^2$ |
| 7403.a.7403.1 |
7403.a |
\( 11 \cdot 673 \) |
\( - 11 \cdot 673 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.015338\) |
\(23.405457\) |
\(0.358995\) |
$[320,2224,231584,-29612]$ |
$[160,696,224,-112144,-7403]$ |
$[-104857600000/7403,-2850816000/7403,-5734400/7403]$ |
$y^2 + y = x^5 + x^4 - 2x^3 - x^2 + x$ |
| 7445.a.7445.1 |
7445.a |
\( 5 \cdot 1489 \) |
\( 5 \cdot 1489 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.015640\) |
\(23.017149\) |
\(0.359986\) |
$[96,864,13248,29780]$ |
$[48,-48,704,7872,7445]$ |
$[254803968/7445,-5308416/7445,1622016/7445]$ |
$y^2 + y = x^5 + 3x^4 + 2x^3$ |
| 7627.a.7627.1 |
7627.a |
\( 29 \cdot 263 \) |
\( 29 \cdot 263 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.016411\) |
\(22.363297\) |
\(0.366999\) |
$[340,2329,42109,976256]$ |
$[85,204,3128,56066,7627]$ |
$[4437053125/7627,125281500/7627,22599800/7627]$ |
$y^2 + (x^2 + x + 1)y = x^5 - x^4 - 2x^3$ |
| 7877.d.7877.1 |
7877.d |
\( 7877 \) |
\( 7877 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.015587\) |
\(24.779850\) |
\(0.386237\) |
$[800,6736,1665008,31508]$ |
$[400,5544,87888,1104816,7877]$ |
$[10240000000000/7877,354816000000/7877,14062080000/7877]$ |
$y^2 + y = x^5 + 3x^4 - 5x^2 - x + 2$ |
| 8864.a.17728.1 |
8864.a |
\( 2^{5} \cdot 277 \) |
\( 2^{6} \cdot 277 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.010058\) |
\(19.887941\) |
\(0.400081\) |
$[20,304,3416,-2216]$ |
$[20,-186,-1892,-18109,-17728]$ |
$[-50000/277,23250/277,11825/277]$ |
$y^2 + (x^3 + x^2 + x + 1)y = x^3 - x$ |
| 9446.a.18892.1 |
9446.a |
\( 2 \cdot 4723 \) |
\( - 2^{2} \cdot 4723 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.011800\) |
\(17.348829\) |
\(0.409436\) |
$[300,-3159,-79893,2418176]$ |
$[75,366,-656,-45789,18892]$ |
$[2373046875/18892,77203125/9446,-922500/4723]$ |
$y^2 + (x^3 + 1)y = x^5 + x^4 - x^2 - x$ |
| 9589.b.9589.1 |
9589.b |
\( 43 \cdot 223 \) |
\( 43 \cdot 223 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.019356\) |
\(21.754649\) |
\(0.421077\) |
$[536,5248,961160,38356]$ |
$[268,2118,2876,-928789,9589]$ |
$[1382528109568/9589,40769026176/9589,206565824/9589]$ |
$y^2 + y = x^5 - 3x^3 + 2x$ |
| 10073.a.10073.1 |
10073.a |
\( 7 \cdot 1439 \) |
\( - 7 \cdot 1439 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.017404\) |
\(24.245966\) |
\(0.421984\) |
$[500,7801,1091757,-1289344]$ |
$[125,326,644,-6444,-10073]$ |
$[-30517578125/10073,-636718750/10073,-1437500/1439]$ |
$y^2 + (x^2 + x + 1)y = -x^5 + 2x^4 - 3x^2$ |
| 10328.a.20656.1 |
10328.a |
\( 2^{3} \cdot 1291 \) |
\( 2^{4} \cdot 1291 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.011007\) |
\(23.258292\) |
\(0.512017\) |
$[1136,12580,4237796,82624]$ |
$[568,11346,284132,8163815,20656]$ |
$[3695061710848/1291,129947462592/1291,5729237648/1291]$ |
$y^2 + xy = 2x^5 + x^4 - 4x^3 - 2x^2 + 2x + 1$ |
| 10681.a.117491.1 |
10681.a |
\( 11 \cdot 971 \) |
\( - 11^{2} \cdot 971 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.020228\) |
\(10.934822\) |
\(0.442377\) |
$[376,-7952,-514680,-469964]$ |
$[188,2798,3356,-1799469,-117491]$ |
$[-234849287168/117491,-18591792256/117491,-118614464/117491]$ |
$y^2 + y = x^5 - 23x^3 + 69x^2 - 77x + 30$ |
| 10895.a.54475.1 |
10895.a |
\( 5 \cdot 2179 \) |
\( 5^{2} \cdot 2179 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.016051\) |
\(13.690159\) |
\(0.439486\) |
$[76,-8039,-186909,-6972800]$ |
$[19,350,844,-26616,-54475]$ |
$[-2476099/54475,-96026/2179,-304684/54475]$ |
$y^2 + (x^2 + x + 1)y = -x^5 + 2x^4 - 3x^3$ |
| 11016.c.793152.1 |
11016.c |
\( 2^{3} \cdot 3^{4} \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 17 \) |
$1$ |
$1$ |
$\Z/3\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1, 3.640.2 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \cdot 5 \) |
\(0.015048\) |
\(16.518071\) |
\(0.828529\) |
$[96,2124,39492,13056]$ |
$[144,-2322,15876,-776385,793152]$ |
$[1327104/17,-148608/17,7056/17]$ |
$y^2 + (x + 1)y = x^6 - 3x^4 - 2x^3 + 2x^2 + x$ |
| 11061.a.33183.1 |
11061.a |
\( 3^{2} \cdot 1229 \) |
\( - 3^{3} \cdot 1229 \) |
$2$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.059028\) |
\(15.646446\) |
\(0.461790\) |
$[300,-3591,-87309,4247424]$ |
$[75,384,-928,-54264,33183]$ |
$[87890625/1229,6000000/1229,-580000/3687]$ |
$y^2 + (x^2 + x + 1)y = -x^5 - x^4 + x^2 + x$ |
| 11168.a.22336.1 |
11168.a |
\( 2^{5} \cdot 349 \) |
\( 2^{6} \cdot 349 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.009800\) |
\(23.022907\) |
\(0.451271\) |
$[268,1312,96520,2792]$ |
$[268,2118,23876,478211,22336]$ |
$[21602001712/349,637016034/349,26794841/349]$ |
$y^2 + y = 2x^5 - 3x^3 + x$ |
| 11347.b.11347.1 |
11347.b |
\( 7 \cdot 1621 \) |
\( 7 \cdot 1621 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.018000\) |
\(24.941710\) |
\(0.448940\) |
$[148,14185,19285,1452416]$ |
$[37,-534,5924,-16492,11347]$ |
$[69343957/11347,-27048702/11347,8109956/11347]$ |
$y^2 + (x^3 + 1)y = x^5 + 3x^4 + 3x^3 - x$ |
| 11519.a.11519.1 |
11519.a |
\( 11519 \) |
\( 11519 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.028983\) |
\(15.427997\) |
\(0.447146\) |
$[12,-3303,-34461,-1474432]$ |
$[3,138,364,-4488,-11519]$ |
$[-243/11519,-3726/11519,-3276/11519]$ |
$y^2 + (x^2 + x + 1)y = x^5 - 2x^4 + x^3 - 2x^2$ |
| 11667.a.105003.1 |
11667.a |
\( 3 \cdot 3889 \) |
\( - 3^{3} \cdot 3889 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.009929\) |
\(16.556153\) |
\(0.493144\) |
$[160,256,109632,420012]$ |
$[80,224,-10048,-213504,105003]$ |
$[3276800000/105003,114688000/105003,-64307200/105003]$ |
$y^2 + y = x^5 + 2x^4 - x$ |
| 11749.a.11749.1 |
11749.a |
\( 31 \cdot 379 \) |
\( 31 \cdot 379 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.022390\) |
\(20.614144\) |
\(0.461548\) |
$[88,544,-5496,46996]$ |
$[44,-10,1916,21051,11749]$ |
$[164916224/11749,-851840/11749,3709376/11749]$ |
$y^2 + y = x^5 - x^4 - x^3 + x^2$ |
| 11914.a.548044.1 |
11914.a |
\( 2 \cdot 7 \cdot 23 \cdot 37 \) |
\( - 2^{2} \cdot 7 \cdot 23^{2} \cdot 37 \) |
$2$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.047346\) |
\(11.655766\) |
\(0.551852\) |
$[312,-48240,-2904723,2192176]$ |
$[156,9054,-16865,-21151464,548044]$ |
$[23097394944/137011,8593187616/137011,-102606660/137011]$ |
$y^2 + (x^3 + x)y = -2x^4 - x^2 - 5x + 1$ |
| 11971.b.11971.1 |
11971.b |
\( 11971 \) |
\( -11971 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.024349\) |
\(20.052181\) |
\(0.488259\) |
$[184,400,24104,-47884]$ |
$[92,286,828,-1405,-11971]$ |
$[-6590815232/11971,-222704768/11971,-7008192/11971]$ |
$y^2 + y = x^5 + x^4 - x^3 + x$ |
| 12092.a.48368.1 |
12092.a |
\( 2^{2} \cdot 3023 \) |
\( - 2^{4} \cdot 3023 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.008974\) |
\(20.615179\) |
\(0.555019\) |
$[608,7228,1342988,-193472]$ |
$[304,2646,17540,-417289,-48368]$ |
$[-162273624064/3023,-4646121984/3023,-101311040/3023]$ |
$y^2 + (x^2 + 1)y = x^5 - x^4 - 3x^3 + x^2 + 2x$ |
| 12761.a.89327.1 |
12761.a |
\( 7 \cdot 1823 \) |
\( 7^{2} \cdot 1823 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.010977\) |
\(21.401953\) |
\(0.469878\) |
$[1044,64953,16315821,11433856]$ |
$[261,132,10760,697734,89327]$ |
$[1211162837301/89327,2346904692/89327,732981960/89327]$ |
$y^2 + (x^2 + x + 1)y = x^5 - 5x^3 + 2x^2$ |
| 12890.a.25780.1 |
12890.a |
\( 2 \cdot 5 \cdot 1289 \) |
\( 2^{2} \cdot 5 \cdot 1289 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.015717\) |
\(18.328662\) |
\(0.576127\) |
$[136,-392,32749,-103120]$ |
$[68,258,-4145,-87106,-25780]$ |
$[-363483392/6445,-20280864/6445,958324/1289]$ |
$y^2 + (x + 1)y = x^6 + x^5 - x^3 - x^2$ |
| 12949.a.12949.1 |
12949.a |
\( 23 \cdot 563 \) |
\( 23 \cdot 563 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.020631\) |
\(23.283865\) |
\(0.480367\) |
$[280,2368,196632,51796]$ |
$[140,422,-148,-49701,12949]$ |
$[53782400000/12949,1157968000/12949,-2900800/12949]$ |
$y^2 + y = x^5 + 2x^4 - x^3 - 2x^2$ |
| 12961.a.168493.1 |
12961.a |
\( 13 \cdot 997 \) |
\( 13^{2} \cdot 997 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.011482\) |
\(21.240430\) |
\(0.487784\) |
$[760,37744,7078728,673972]$ |
$[380,-274,4508,409491,168493]$ |
$[7923516800000/168493,-15034928000/168493,650955200/168493]$ |
$y^2 + y = x^5 + 3x^4 - 5x^3 + x$ |
| 13078.a.26156.1 |
13078.a |
\( 2 \cdot 13 \cdot 503 \) |
\( - 2^{2} \cdot 13 \cdot 503 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.011869\) |
\(24.426633\) |
\(0.579855\) |
$[368,31360,1939463,-104624]$ |
$[184,-3816,66065,-601474,-26156]$ |
$[-52726521856/6539,5942946816/6539,-559174160/6539]$ |
$y^2 + xy = x^6 - 5x^5 + 7x^4 - 5x^2 + x + 1$ |
| 13227.a.13227.1 |
13227.a |
\( 3 \cdot 4409 \) |
\( - 3 \cdot 4409 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.029762\) |
\(16.803945\) |
\(0.500123\) |
$[64,-704,-784,52908]$ |
$[32,160,-880,-13440,13227]$ |
$[33554432/13227,5242880/13227,-901120/13227]$ |
$y^2 + y = x^5 - 2x^4 + 2x^3 - x$ |
| 13298.a.26596.1 |
13298.a |
\( 2 \cdot 61 \cdot 109 \) |
\( 2^{2} \cdot 61 \cdot 109 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.016597\) |
\(17.608694\) |
\(0.584505\) |
$[248,1456,110781,-106384]$ |
$[124,398,463,-25248,-26596]$ |
$[-7329062656/6649,-189709088/6649,-1779772/6649]$ |
$y^2 + (x^3 + x)y = 2x^3 + 3x^2 + 3x + 1$ |
| 13418.a.26836.1 |
13418.a |
\( 2 \cdot 6709 \) |
\( - 2^{2} \cdot 6709 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.016027\) |
\(18.293710\) |
\(0.586392\) |
$[216,-72,34605,107344]$ |
$[108,498,-1289,-96804,26836]$ |
$[3673320192/6709,156834144/6709,-3758724/6709]$ |
$y^2 + (x + 1)y = -x^5 + x^3 + 2x^2 + x$ |
| 14067.e.126603.1 |
14067.e |
\( 3^{3} \cdot 521 \) |
\( - 3^{5} \cdot 521 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.008767\) |
\(19.505911\) |
\(0.513046\) |
$[1920,47664,27309600,-506412]$ |
$[960,30456,1132000,39788016,-126603]$ |
$[-3355443200000/521,-110886912000/521,-115916800000/14067]$ |
$y^2 + y = x^5 - 3x^4 - 2x^3 + 7x^2 + 3x$ |
| 14138.a.28276.1 |
14138.a |
\( 2 \cdot 7069 \) |
\( 2^{2} \cdot 7069 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.013726\) |
\(21.892255\) |
\(0.601003\) |
$[136,4648,368005,-113104]$ |
$[68,-582,-25529,-518674,-28276]$ |
$[-363483392/7069,45749856/7069,29511524/7069]$ |
$y^2 + (x + 1)y = x^6 - x^5 - 2x^4 + x^3 + x^2$ |
| 14237.a.14237.1 |
14237.a |
\( 23 \cdot 619 \) |
\( 23 \cdot 619 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.020786\) |
\(25.000090\) |
\(0.519643\) |
$[500,16825,1911373,1822336]$ |
$[125,-50,2316,71750,14237]$ |
$[30517578125/14237,-97656250/14237,36187500/14237]$ |
$y^2 + (x^2 + x + 1)y = x^5 + x^4 - 3x^3 - x^2$ |
| 14481.a.43443.1 |
14481.a |
\( 3^{2} \cdot 1609 \) |
\( - 3^{3} \cdot 1609 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.016149\) |
\(15.058574\) |
\(0.486365\) |
$[96,-1152,-3744,173772]$ |
$[48,288,-1888,-43392,43443]$ |
$[9437184/1609,1179648/1609,-483328/4827]$ |
$y^2 + y = 3x^5 - 6x^4 + 4x^3 - x$ |
| 14529.a.392283.1 |
14529.a |
\( 3 \cdot 29 \cdot 167 \) |
\( - 3^{4} \cdot 29 \cdot 167 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.010794\) |
\(12.891991\) |
\(0.556641\) |
$[340,-8471,-1484651,-50212224]$ |
$[85,654,13708,184366,-392283]$ |
$[-4437053125/392283,-133879250/130761,-99040300/392283]$ |
$y^2 + (x^3 + 1)y = x^5 + 2x^4 - 3x^2 - x$ |
| 14558.a.29116.1 |
14558.a |
\( 2 \cdot 29 \cdot 251 \) |
\( 2^{2} \cdot 29 \cdot 251 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.017920\) |
\(17.027281\) |
\(0.610241\) |
$[88,160,21493,-116464]$ |
$[44,54,-1865,-21244,-29116]$ |
$[-41229056/7279,-1149984/7279,902660/7279]$ |
$y^2 + (x + 1)y = -x^5 + 2x^4 - x^3$ |
| 14752.a.29504.1 |
14752.a |
\( 2^{5} \cdot 461 \) |
\( 2^{6} \cdot 461 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.015439\) |
\(16.178711\) |
\(0.499551\) |
$[12,288,-648,3688]$ |
$[12,-186,1220,-4989,29504]$ |
$[3888/461,-5022/461,2745/461]$ |
$y^2 + (x^3 + x^2 + x + 1)y = -x^3 + x$ |
| 14890.a.29780.1 |
14890.a |
\( 2 \cdot 5 \cdot 1489 \) |
\( 2^{2} \cdot 5 \cdot 1489 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.015048\) |
\(20.309791\) |
\(0.611232\) |
$[48,5472,69849,-119120]$ |
$[24,-888,-1649,-207030,-29780]$ |
$[-1990656/7445,3068928/7445,237456/7445]$ |
$y^2 + (x + 1)y = x^6 + x^5 - x^4 - 2x^3$ |
| 14891.a.14891.1 |
14891.a |
\( 14891 \) |
\( -14891 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.024513\) |
\(20.628963\) |
\(0.505673\) |
$[788,10969,2965533,-1906048]$ |
$[197,1160,1520,-261540,-14891]$ |
$[-296709280757/14891,-8868632680/14891,-58989680/14891]$ |
$y^2 + (x^2 + x + 1)y = x^5 - 3x^3 - x^2 + x$ |
| 14899.b.14899.1 |
14899.b |
\( 47 \cdot 317 \) |
\( - 47 \cdot 317 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.020822\) |
\(25.087772\) |
\(0.522377\) |
$[312,5904,428760,-59596]$ |
$[156,30,3788,147507,-14899]$ |
$[-92389579776/14899,-113892480/14899,-92184768/14899]$ |
$y^2 + y = x^5 - x^4 - 3x^3 + 4x^2 - x$ |
| 14998.a.29996.1 |
14998.a |
\( 2 \cdot 7499 \) |
\( 2^{2} \cdot 7499 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.016116\) |
\(20.098309\) |
\(0.647805\) |
$[776,3112,642299,119984]$ |
$[388,5754,119745,3338136,29996]$ |
$[2198359105792/7499,84024327072/7499,4506722820/7499]$ |
$y^2 + xy = x^5 - x^4 - 3x^3 + x^2 + 3x + 1$ |
| 15334.a.521356.1 |
15334.a |
\( 2 \cdot 11 \cdot 17 \cdot 41 \) |
\( - 2^{2} \cdot 11 \cdot 17^{2} \cdot 41 \) |
$2$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$11$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.046725\) |
\(13.317965\) |
\(0.622287\) |
$[264,135432,-63999477,-2085424]$ |
$[132,-21846,7944017,142840632,-521356]$ |
$[-910787328/11849,1141934112/11849,-3145830732/11849]$ |
$y^2 + (x^3 + x^2)y = -4x^4 + 9x^3 - 9x + 4$ |
