| 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 |
| 363.a.43923.1 |
363.a |
\( 3 \cdot 11^{2} \) |
\( - 3 \cdot 11^{4} \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1, 3.80.4 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(3.794119\) |
\(0.189706\) |
$[11096,25612,88274095,-175692]$ |
$[5548,1278244,392069161,135322995423,-43923]$ |
$[-5256325630316243968/43923,-1804005053317888/363,-99735603013264/363]$ |
$y^2 + x^2y = 11x^5 - 13x^4 - 7x^3 + 10x^2 + x - 2$ |
| 394.a.394.1 |
394.a |
\( 2 \cdot 197 \) |
\( 2 \cdot 197 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(20.078274\) |
\(0.200783\) |
$[11032,106300,393913607,1576]$ |
$[5516,1250044,371875905,122164372511,394]$ |
$[12960598758485504,532478222573696,28717744887720]$ |
$y^2 + (x^3 + x)y = 2x^5 + x^4 - 12x^3 + 17x - 9$ |
| 461.a.461.1 |
461.a |
\( 461 \) |
\( 461 \) |
$0$ |
$0$ |
$\Z/7\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(12.048435\) |
\(0.245886\) |
$[1176,144,66456,1844]$ |
$[588,14382,467132,16957923,461]$ |
$[70288881159168/461,2923824242304/461,161508086208/461]$ |
$y^2 + x^3y = x^5 - 3x^3 + 3x - 2$ |
| 464.a.464.1 |
464.a |
\( 2^{4} \cdot 29 \) |
\( 2^{4} \cdot 29 \) |
$0$ |
$1$ |
$\Z/8\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(14.421431\) |
\(0.225335\) |
$[136,280,15060,1856]$ |
$[68,146,-64,-6417,464]$ |
$[90870848/29,2869192/29,-18496/29]$ |
$y^2 + (x + 1)y = -x^6 - 2x^5 - 2x^4 - x^3$ |
| 464.a.29696.2 |
464.a |
\( 2^{4} \cdot 29 \) |
\( - 2^{10} \cdot 29 \) |
$0$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$3$ |
2.120.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(1.802679\) |
\(0.225335\) |
$[45368,202225,3012190355,-3712]$ |
$[45368,85625826,215176422416,607585463496703,-29696]$ |
$[-187693059992988715232/29,-7808250185554819143/29,-432507850151022641/29]$ |
$y^2 + xy = 4x^5 + 33x^4 + 72x^3 + 16x^2 + x$ |
| 472.a.60416.1 |
472.a |
\( 2^{3} \cdot 59 \) |
\( 2^{10} \cdot 59 \) |
$0$ |
$1$ |
$\Z/8\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(7.278318\) |
\(0.227447\) |
$[152,17065,1592025,7552]$ |
$[152,-10414,-926656,-62325777,60416]$ |
$[79235168/59,-35714813/59,-20907676/59]$ |
$y^2 + (x + 1)y = 8x^5 + 5x^4 + 4x^3 + 2x^2$ |
| 597.a.597.1 |
597.a |
\( 3 \cdot 199 \) |
\( 3 \cdot 199 \) |
$0$ |
$0$ |
$\Z/7\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(14.411617\) |
\(0.294115\) |
$[120,192,9912,2388]$ |
$[60,118,-68,-4501,597]$ |
$[259200000/199,8496000/199,-81600/199]$ |
$y^2 + y = x^5 + 2x^4 + 3x^3 + 2x^2 + x$ |
| 688.a.704512.1 |
688.a |
\( 2^{4} \cdot 43 \) |
\( 2^{14} \cdot 43 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(6.426825\) |
\(0.321341\) |
$[128,532,26830,86]$ |
$[512,5248,-408576,-59183104,704512]$ |
$[2147483648/43,42991616/43,-6537216/43]$ |
$y^2 = 2x^5 + 4x^3 + x^2 + 2x + 1$ |
| 708.a.2832.1 |
708.a |
\( 2^{2} \cdot 3 \cdot 59 \) |
\( 2^{4} \cdot 3 \cdot 59 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(16.267181\) |
\(0.325344\) |
$[148,2065,76361,362496]$ |
$[37,-29,-59,-756,2832]$ |
$[69343957/2832,-1468937/2832,-1369/48]$ |
$y^2 + (x^2 + x + 1)y = x^5$ |
| 726.a.1452.1 |
726.a |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( - 2^{2} \cdot 3 \cdot 11^{2} \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1, 3.90.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(15.124086\) |
\(0.302482\) |
$[760,-69236,-16142609,-5808]$ |
$[380,17556,702601,-10306189,-1452]$ |
$[-1980879200000/363,-7297976000/11,-25363896100/363]$ |
$y^2 + (x^2 + 1)y = 2x^5 + 2x^4 + 6x^3 - 2x^2 - x$ |
| 784.c.614656.1 |
784.c |
\( 2^{4} \cdot 7^{2} \) |
\( 2^{8} \cdot 7^{4} \) |
$0$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\mathrm{M}_2(\Q)\) |
\(\mathsf{CM}\) |
✓ |
$E_3$ |
|
✓ |
|
$C_6$ |
$D_6$ |
$3$ |
$3$ |
2.240.1, 3.5760.7 |
✓ |
✓ |
$1$ |
\( 3^{2} \) |
\(1.000000\) |
\(5.731485\) |
\(0.358218\) |
$[398,9016,912086,2401]$ |
$[796,2358,-2348,-1857293,614656]$ |
$[1248318403996/2401,9291226221/4802,-23245787/9604]$ |
$y^2 = x^5 - 4x^4 - 13x^3 - 9x^2 - x$ |
| 797.a.797.1 |
797.a |
\( 797 \) |
\( 797 \) |
$0$ |
$0$ |
$\Z/7\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(17.440989\) |
\(0.355939\) |
$[24,528,7608,3188]$ |
$[12,-82,-548,-3325,797]$ |
$[248832/797,-141696/797,-78912/797]$ |
$y^2 + y = x^5 - x^4 + x^3$ |
| 832.a.832.1 |
832.a |
\( 2^{6} \cdot 13 \) |
\( - 2^{6} \cdot 13 \) |
$0$ |
$1$ |
$\Z/8\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(21.148215\) |
\(0.330441\) |
$[272,-131,-12402,-104]$ |
$[272,3170,51008,956319,-832]$ |
$[-23262937088/13,-996749440/13,-58965248/13]$ |
$y^2 + (x^3 + x)y = x^5 - x^3 + x^2 + 2x - 1$ |
| 834.a.1668.1 |
834.a |
\( 2 \cdot 3 \cdot 139 \) |
\( 2^{2} \cdot 3 \cdot 139 \) |
$0$ |
$1$ |
$\Z/8\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(11.763516\) |
\(0.367610\) |
$[372,3345,401289,213504]$ |
$[93,221,-111,-14791,1668]$ |
$[2318961231/556,59254299/556,-320013/556]$ |
$y^2 + (x^3 + 1)y = -x^2 + x - 1$ |
| 847.b.9317.1 |
847.b |
\( 7 \cdot 11^{2} \) |
\( 7 \cdot 11^{3} \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1, 3.80.4 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(16.827271\) |
\(0.336545\) |
$[304,5932,452465,-37268]$ |
$[152,-26,-401,-15407,-9317]$ |
$[-81136812032/9317,91307008/9317,9264704/9317]$ |
$y^2 + (x^2 + 1)y = x^5 + 2x^4 - 3x^3 + 2x^2 - x$ |
| 847.c.9317.1 |
847.c |
\( 7 \cdot 11^{2} \) |
\( 7 \cdot 11^{3} \) |
$0$ |
$1$ |
$\Z/8\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(9.983400\) |
\(0.311981\) |
$[424,3520,581427,37268]$ |
$[212,1286,-7999,-837396,9317]$ |
$[428232184832/9317,12253172608/9317,-359507056/9317]$ |
$y^2 + (x^3 + x^2)y = x^4 + x^3 - x - 2$ |
| 862.b.862.1 |
862.b |
\( 2 \cdot 431 \) |
\( 2 \cdot 431 \) |
$0$ |
$0$ |
$\Z/9\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.6.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(27.488991\) |
\(0.339370\) |
$[552,696,112755,3448]$ |
$[276,3058,45033,769436,862]$ |
$[800784050688/431,32146576704/431,1715216904/431]$ |
$y^2 + (x^3 + x)y = -2x^4 + 3x^2 - x - 1$ |
| 997.a.997.1 |
997.a |
\( 997 \) |
\( 997 \) |
$0$ |
$2$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$3$ |
2.120.3 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(21.589621\) |
\(0.337338\) |
$[6112,48064,98113399,3988]$ |
$[3056,381120,61964417,11027700988,997]$ |
$[266542673508171776/997,10877317101649920/997,578694117523712/997]$ |
$y^2 + xy = x^5 - 8x^4 + 16x^3 - x$ |
| 1042.a.1042.1 |
1042.a |
\( 2 \cdot 521 \) |
\( 2 \cdot 521 \) |
$0$ |
$0$ |
$\Z/9\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.6.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(30.423017\) |
\(0.375593\) |
$[480,3912,728889,-4168]$ |
$[240,1748,-5521,-1095136,-1042]$ |
$[-398131200000/521,-12082176000/521,159004800/521]$ |
$y^2 + (x^3 + x)y = -x^4 - x^3 - x^2 + 2x + 2$ |
| 1051.b.1051.2 |
1051.b |
\( 1051 \) |
\( -1051 \) |
$0$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$3$ |
2.120.3 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(5.832930\) |
\(0.364558\) |
$[6176,-50240,-103225225,-4204]$ |
$[3088,405696,72449921,14784027908,-1051]$ |
$[-280793117300359168/1051,-11946277554880512/1051,-690863899476224/1051]$ |
$y^2 + xy = x^5 + 8x^4 + 16x^3 + x$ |
| 1055.a.1055.1 |
1055.a |
\( 5 \cdot 211 \) |
\( - 5 \cdot 211 \) |
$0$ |
$1$ |
$\Z/6\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(15.577626\) |
\(0.432712\) |
$[500,-3023,-525127,-135040]$ |
$[125,777,7441,81599,-1055]$ |
$[-6103515625/211,-303515625/211,-23253125/211]$ |
$y^2 + (x^3 + 1)y = -x^4 + x^2 - x - 1$ |
| 1069.a.1069.1 |
1069.a |
\( 1069 \) |
\( 1069 \) |
$0$ |
$0$ |
$\Z/7\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(14.937046\) |
\(0.304838\) |
$[244,3193,263789,136832]$ |
$[61,22,-884,-13602,1069]$ |
$[844596301/1069,4993582/1069,-3289364/1069]$ |
$y^2 + (x^2 + x + 1)y = x^5 + x^3$ |
| 1077.b.1077.1 |
1077.b |
\( 3 \cdot 359 \) |
\( 3 \cdot 359 \) |
$0$ |
$0$ |
$\Z/5\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(10.157286\) |
\(0.406291\) |
$[320,544,55360,4308]$ |
$[160,976,7360,56256,1077]$ |
$[104857600000/1077,3997696000/1077,188416000/1077]$ |
$y^2 + x^3y = x^5 + x^4 - x - 2$ |
| 1104.a.17664.1 |
1104.a |
\( 2^{4} \cdot 3 \cdot 23 \) |
\( 2^{8} \cdot 3 \cdot 23 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(1.000000\) |
\(8.907497\) |
\(0.445375\) |
$[88,160,4888,69]$ |
$[176,864,-1280,-242944,17664]$ |
$[659664896/69,6133248/23,-154880/69]$ |
$y^2 = x^5 - 2x^4 + 4x^3 - 4x^2 + 3x - 1$ |
| 1109.b.1109.1 |
1109.b |
\( 1109 \) |
\( 1109 \) |
$0$ |
$0$ |
$\Z/7\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(21.606017\) |
\(0.440939\) |
$[248,-32,-10424,4436]$ |
$[124,646,5388,62699,1109]$ |
$[29316250624/1109,1231679104/1109,82845888/1109]$ |
$y^2 + y = x^5 - x^4 - x^3 + x^2 + x$ |
| 1109.c.1109.1 |
1109.c |
\( 1109 \) |
\( 1109 \) |
$0$ |
$0$ |
$\Z/5\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(9.552149\) |
\(0.382086\) |
$[392,292,36703,4436]$ |
$[196,1552,16001,181873,1109]$ |
$[289254654976/1109,11685839872/1109,614694416/1109]$ |
$y^2 + (x^3 + x)y = x^5 - 2x^3 - 2x^2 - 1$ |
| 1125.a.151875.1 |
1125.a |
\( 3^{2} \cdot 5^{3} \) |
\( - 3^{5} \cdot 5^{4} \) |
$0$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2$ |
$C_2$ |
$3$ |
$3$ |
2.120.3, 3.80.4 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(1.964402\) |
\(0.491100\) |
$[8600,612100,1556297975,-607500]$ |
$[4300,668400,132975225,31258726875,-151875]$ |
$[-2352135088000000/243,-28342655360000/81,-437104339600/27]$ |
$y^2 + xy = 15x^5 + 50x^4 + 55x^3 + 22x^2 + 3x$ |
| 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 |
✓ |
✓ |
$1$ |
\( 7 \) |
\(1.000000\) |
\(13.476708\) |
\(0.481311\) |
$[9252,17217,52921881,36352]$ |
$[9252,3555168,1815712832,1039938903360,290816]$ |
$[66203075280122793/284,1374792164318403/142,151781365064097/284]$ |
$y^2 + (x^3 + x^2)y = -5x^4 - 9x^3 + 25x^2 + 40x - 24$ |
| 1137.a.1137.1 |
1137.a |
\( 3 \cdot 379 \) |
\( 3 \cdot 379 \) |
$0$ |
$1$ |
$\Z/6\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(15.522353\) |
\(0.431176\) |
$[148,-191,28401,145536]$ |
$[37,65,-359,-4377,1137]$ |
$[69343957/1137,3292445/1137,-491471/1137]$ |
$y^2 + (x^2 + x + 1)y = x^5 + x^4 + x^3$ |
| 1147.a.35557.1 |
1147.a |
\( 31 \cdot 37 \) |
\( 31^{2} \cdot 37 \) |
$0$ |
$2$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$3$ |
2.120.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(11.458568\) |
\(0.358080\) |
$[3712,11944,14677639,142228]$ |
$[1856,141540,14195057,1578113548,35557]$ |
$[22023678539595776/35557,904926084464640/35557,48898223869952/35557]$ |
$y^2 + xy = x^5 + 8x^4 + 18x^3 + 8x^2 + x$ |
| 1147.a.35557.2 |
1147.a |
\( 31 \cdot 37 \) |
\( 31^{2} \cdot 37 \) |
$0$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$3$ |
2.120.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(2.864642\) |
\(0.358080\) |
$[12352,2309104,8338761079,142228]$ |
$[6176,1204440,279006977,68117844088,35557]$ |
$[8985379753611493376/35557,283731159059005440/35557,10642156427543552/35557]$ |
$y^2 + xy = x^5 + 6x^4 - 32x^2 + x$ |
| 1164.a.1164.1 |
1164.a |
\( 2^{2} \cdot 3 \cdot 97 \) |
\( 2^{2} \cdot 3 \cdot 97 \) |
$0$ |
$0$ |
$\Z/5\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(11.402119\) |
\(0.456085\) |
$[500,-47,46665,148992]$ |
$[125,653,3805,12304,1164]$ |
$[30517578125/1164,1275390625/1164,59453125/1164]$ |
$y^2 + (x^3 + 1)y = -x^4 + x^2 - 1$ |
| 1197.a.10773.1 |
1197.a |
\( 3^{2} \cdot 7 \cdot 19 \) |
\( 3^{4} \cdot 7 \cdot 19 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(18.778043\) |
\(0.375561\) |
$[520,10900,1557089,-43092]$ |
$[260,1000,-1121,-322865,-10773]$ |
$[-1188137600000/10773,-17576000000/10773,3988400/567]$ |
$y^2 + (x^3 + x^2)y = -x^3 - x^2 - x + 2$ |
| 1216.a.1216.1 |
1216.a |
\( 2^{6} \cdot 19 \) |
\( - 2^{6} \cdot 19 \) |
$0$ |
$1$ |
$\Z/6\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(14.632279\) |
\(0.406452\) |
$[156,-165,-8886,-152]$ |
$[156,1124,11920,149036,-1216]$ |
$[-1443587184/19,-66674556/19,-4532580/19]$ |
$y^2 + (x + 1)y = -x^6 + x^4 - x^3 - x^2$ |
| 1225.a.6125.1 |
1225.a |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{3} \cdot 7^{2} \) |
$0$ |
$1$ |
$\Z/8\Z$ |
\(\mathsf{RM}\) |
\(\mathsf{RM}\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1, 3.72.2 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(11.927897\) |
\(0.372747\) |
$[320,14344,962481,-24500]$ |
$[160,-1324,8791,-86604,-6125]$ |
$[-838860800/49,43384832/49,-9001984/245]$ |
$y^2 + (x^3 + x^2)y = 2x^3 + x^2 + x + 2$ |
| 1231.a.1231.1 |
1231.a |
\( 1231 \) |
\( 1231 \) |
$0$ |
$0$ |
$\Z/7\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(16.048501\) |
\(0.327520\) |
$[1108,361,95637,157568]$ |
$[277,3182,49028,863908,1231]$ |
$[1630793025157/1231,67630014806/1231,3761869412/1231]$ |
$y^2 + (x^3 + 1)y = -x^4 + 2x^2 - x - 2$ |
| 1239.a.8673.1 |
1239.a |
\( 3 \cdot 7 \cdot 59 \) |
\( 3 \cdot 7^{2} \cdot 59 \) |
$0$ |
$1$ |
$\Z/6\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(8.456793\) |
\(0.469822\) |
$[500,4273,628857,1110144]$ |
$[125,473,1969,5599,8673]$ |
$[30517578125/8673,923828125/8673,30765625/8673]$ |
$y^2 + (x^2 + x + 1)y = -x^6 - x^2 - x$ |
| 1258.a.21386.1 |
1258.a |
\( 2 \cdot 17 \cdot 37 \) |
\( 2 \cdot 17^{2} \cdot 37 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(20.931527\) |
\(0.418631\) |
$[2360,51148,37529695,85544]$ |
$[1180,49492,2427545,103761259,21386]$ |
$[1143878878400000/10693,40658469872000/10693,1690056829000/10693]$ |
$y^2 + xy = x^5 + 4x^4 - 5x^3 - 4x^2 + 5x - 1$ |
| 1284.a.5136.1 |
1284.a |
\( 2^{2} \cdot 3 \cdot 107 \) |
\( 2^{4} \cdot 3 \cdot 107 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(23.787277\) |
\(0.475746\) |
$[460,3457,746415,-657408]$ |
$[115,407,-2245,-105956,-5136]$ |
$[-20113571875/5136,-618996125/5136,29690125/5136]$ |
$y^2 + (x^3 + 1)y = -x^4 + x^2 - 2x + 1$ |
| 1285.a.1285.1 |
1285.a |
\( 5 \cdot 257 \) |
\( 5 \cdot 257 \) |
$0$ |
$0$ |
$\Z/7\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(24.221343\) |
\(0.494313\) |
$[56,-1376,-87560,5140]$ |
$[28,262,7996,38811,1285]$ |
$[17210368/1285,5751424/1285,6268864/1285]$ |
$y^2 + y = x^5 - 2x^4 + 3x^3 - x$ |
| 1296.a.20736.1 |
1296.a |
\( 2^{4} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{4} \) |
$0$ |
$2$ |
$\Z/2\Z\oplus\Z/6\Z$ |
\(\mathrm{M}_2(\Q)\) |
\(\mathsf{CM}\) |
✓ |
$E_3$ |
|
✓ |
|
$C_6$ |
$D_6$ |
$3$ |
$3$ |
2.240.1, 3.1920.3 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(23.235042\) |
\(0.484063\) |
$[78,216,4806,81]$ |
$[156,438,-428,-64653,20736]$ |
$[4455516,160381/2,-18083/36]$ |
$y^2 = x^5 - x^4 - 3x^3 + 4x^2 - x$ |
| 1309.a.9163.1 |
1309.a |
\( 7 \cdot 11 \cdot 17 \) |
\( - 7^{2} \cdot 11 \cdot 17 \) |
$0$ |
$1$ |
$\Z/8\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(13.545616\) |
\(0.423301\) |
$[1696,-7904,-4279929,-36652]$ |
$[848,31280,1576817,89675604,-9163]$ |
$[-438509757267968/9163,-1122032353280/539,-103081401088/833]$ |
$y^2 + (x^2 + 1)y = 7x^5 - x^4 - 5x^3 - x^2 + x$ |
| 1376.b.176128.1 |
1376.b |
\( 2^{5} \cdot 43 \) |
\( 2^{12} \cdot 43 \) |
$0$ |
$1$ |
$\Z/6\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(8.781442\) |
\(0.487858\) |
$[122,2512,59936,-688]$ |
$[244,-4218,61436,-700285,-176128]$ |
$[-844596301/172,478702929/1376,-57150839/2752]$ |
$y^2 + y = 4x^5 + 4x^4 + x^3 + 2x^2$ |
| 1408.a.180224.1 |
1408.a |
\( 2^{7} \cdot 11 \) |
\( 2^{14} \cdot 11 \) |
$0$ |
$1$ |
$\Z/6\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(9.349938\) |
\(0.519441\) |
$[93,744,16206,-22]$ |
$[372,-2170,17276,429443,-180224]$ |
$[-6956883693/176,872727345/1408,-37355031/2816]$ |
$y^2 + (x^3 + x^2 + x + 1)y = x^4 - x^3 - 5x + 1$ |
| 1408.b.180224.1 |
1408.b |
\( 2^{7} \cdot 11 \) |
\( 2^{14} \cdot 11 \) |
$0$ |
$1$ |
$\Z/8\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(7.656364\) |
\(0.478523\) |
$[80,280,8718,22]$ |
$[320,1280,-154624,-12779520,180224]$ |
$[204800000/11,2560000/11,-966400/11]$ |
$y^2 = 2x^5 + 2x^4 + 4x^3 + 3x^2 + 2x + 1$ |
| 1408.b.720896.2 |
1408.b |
\( 2^{7} \cdot 11 \) |
\( - 2^{16} \cdot 11 \) |
$0$ |
$2$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$3$ |
2.120.3 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(7.656364\) |
\(0.478523\) |
$[32,-80,-1240,-88]$ |
$[128,1536,45056,851968,-720896]$ |
$[-524288/11,-49152/11,-1024]$ |
$y^2 = x^5 + 2x^3 - 4x^2 + x$ |
| 1462.a.11696.1 |
1462.a |
\( 2 \cdot 17 \cdot 43 \) |
\( - 2^{4} \cdot 17 \cdot 43 \) |
$0$ |
$1$ |
$\Z/10\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(9.232591\) |
\(0.369304\) |
$[13264,-519236,-2177178649,-46784]$ |
$[6632,1919182,757711065,335470058489,-11696]$ |
$[-801867487713585152/731,-34988855092435136/731,-2082920440086660/731]$ |
$y^2 + (x^3 + x)y = 2x^5 - 27x^3 - 38x^2 + 94x + 148$ |
| 1472.a.5888.1 |
1472.a |
\( 2^{6} \cdot 23 \) |
\( - 2^{8} \cdot 23 \) |
$0$ |
$2$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$3$ |
2.120.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(15.717638\) |
\(0.491176\) |
$[2,-56,74,23]$ |
$[4,150,-692,-6317,5888]$ |
$[4/23,75/46,-173/92]$ |
$y^2 = x^5 + x^4 - x^3 - 2x^2 - x$ |
| 1472.a.94208.1 |
1472.a |
\( 2^{6} \cdot 23 \) |
\( - 2^{12} \cdot 23 \) |
$0$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$3$ |
2.120.3 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(3.929409\) |
\(0.491176\) |
$[1168,1204,381076,-368]$ |
$[2336,224160,28881152,4304666368,-94208]$ |
$[-16982602489856/23,-697616405760/23,-38476914752/23]$ |
$y^2 = 4x^5 - 3x^4 - 4x^3 - x^2 + 7x - 3$ |
| 1473.a.1473.1 |
1473.a |
\( 3 \cdot 491 \) |
\( 3 \cdot 491 \) |
$0$ |
$1$ |
$\Z/6\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(18.434758\) |
\(0.512077\) |
$[76,2833,32247,-188544]$ |
$[19,-103,191,-1745,-1473]$ |
$[-2476099/1473,706477/1473,-68951/1473]$ |
$y^2 + (x^2 + x + 1)y = x^5 - x^4 - x$ |
