| 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 |
| 10800.c.691200.1 |
10800.c |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{2} \) |
$0$ |
$3$ |
$\Z/6\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.720.4 |
✓ |
✓ |
$16$ |
\( 3 \) |
\(1.000000\) |
\(1.260320\) |
\(1.680427\) |
$[16284,58844169,168941442051,-86400]$ |
$[16284,-28180752,37273075200,-46800006682176,-691200]$ |
$[-41413482066587013/25,4401210479322021/25,-14299263969576]$ |
$y^2 + (x^3 + x)y = x^6 - 22x^4 - 37x^2 - 15$ |
| 12909.b.12909.1 |
12909.b |
\( 3 \cdot 13 \cdot 331 \) |
\( - 3 \cdot 13 \cdot 331 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1, 3.80.2 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.256000\) |
\(1.024000\) |
$[440404,9031346929,1037710064258297,-1652352]$ |
$[110101,128786803,185673432777,964197498804917,-12909]$ |
$[-16179172950033664730650501/12909,-171887839520406614907703/12909,-750258698110897566059/4303]$ |
$y^2 + (x^3 + 1)y = -x^6 + 15x^5 - 86x^4 + 105x^3 + 4x^2 - 27x - 6$ |
| 13108.a.26216.1 |
13108.a |
\( 2^{2} \cdot 29 \cdot 113 \) |
\( - 2^{3} \cdot 29 \cdot 113 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$16$ |
\( 2 \) |
\(1.000000\) |
\(0.166626\) |
\(1.333009\) |
$[820772,50411842105,10017594205453085,-3355648]$ |
$[205193,-346153119,589585052921,289185992647648,-26216]$ |
$[-363758127298659897236209193/26216,2990583083650009751283783/26216,-24823987675696299984329/26216]$ |
$y^2 + (x^2 + x)y = x^5 - 59x^4 - 21x^3 + 106x^2 + 5x - 63$ |
| 15680.b.250880.1 |
15680.b |
\( 2^{6} \cdot 5 \cdot 7^{2} \) |
\( - 2^{10} \cdot 5 \cdot 7^{2} \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.720.5 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.147456\) |
\(0.589826\) |
$[465924,5137879035,920713062008316,31360]$ |
$[465924,5619962884,-140971599964160,-24316508639809720324,250880]$ |
$[21442501652207789032006401/245,2220438389769740808604161/980,-121982000461178368032]$ |
$y^2 + (x^2 + 1)y = -112x^6 + 93x^4 - 2x^2 - 9$ |
| 16281.a.48843.1 |
16281.a |
\( 3^{5} \cdot 67 \) |
\( - 3^{6} \cdot 67 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$2$ |
$2$ |
2.30.3 |
✓ |
✓ |
$16$ |
\( 2 \) |
\(1.000000\) |
\(0.135280\) |
\(1.082243\) |
$[227136,3223424472,183048379784157,-804]$ |
$[340704,1497276,6741801,13780786932,-48843]$ |
$[-6297361629457597234937856/67,-81228050870875324416/67,-1073502019093504/67]$ |
$y^2 + (x^2 + 1)y = x^5 - 101x^4 + 9x^3 + 105x^2 - 5x - 28$ |
| 32820.a.65640.1 |
32820.a |
\( 2^{2} \cdot 3 \cdot 5 \cdot 547 \) |
\( - 2^{3} \cdot 3 \cdot 5 \cdot 547 \) |
$0$ |
$5$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
✓ |
✓ |
$16$ |
\( 2 \) |
\(1.000000\) |
\(0.230909\) |
\(1.847271\) |
$[485188,13649748793,1673023798993405,-8401920]$ |
$[121297,44300559,57553888489,1254643621084438,-65640]$ |
$[-26257314055897069582826257/65640,-26353489618907904425269/21880,-846788186319657112201/65640]$ |
$y^2 + (x^2 + x)y = -7x^6 - 5x^5 + 54x^4 + 59x^3 - 58x^2 - 64x - 14$ |
| 36356.b.72712.1 |
36356.b |
\( 2^{2} \cdot 61 \cdot 149 \) |
\( - 2^{3} \cdot 61 \cdot 149 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
✓ |
✓ |
$16$ |
\( 2 \) |
\(1.000000\) |
\(0.215551\) |
\(1.724407\) |
$[300572,17803426777,2607746940642355,9307136]$ |
$[75143,-506539847,-19752718572649,-435215287075836804,72712]$ |
$[2395756355737264147483943/72712,-214921174005143784551329/72712,-111533141707876038149401/72712]$ |
$y^2 + (x^2 + x)y = -3x^6 - 13x^5 + 11x^4 + 53x^3 - 37x^2 + 28x - 65$ |
| 37375.b.37375.1 |
37375.b |
\( 5^{3} \cdot 13 \cdot 23 \) |
\( - 5^{3} \cdot 13 \cdot 23 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.246968\) |
\(0.987873\) |
$[257880,2610109020,179813868068775,-149500]$ |
$[128940,257711980,563839089025,1571486875840775,-37375]$ |
$[-285120416236542387379200/299,-4419647090497858786560/299,-74992960649501107920/299]$ |
$y^2 + (x^3 + x)y = -x^6 - x^5 + 21x^4 + 26x^3 - 155x^2 - 166x + 3$ |
| 38267.a.38267.1 |
38267.a |
\( 17 \cdot 2251 \) |
\( 17 \cdot 2251 \) |
$0$ |
$3$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(2.048021\) |
\(2.048021\) |
$[10064,90454132,590204970799,153068]$ |
$[5032,-14020646,-44210924447,-104761971518655,38267]$ |
$[189781659896938496/2251,-105085065703005184/2251,-65850934057921984/2251]$ |
$y^2 + xy = 18x^6 - 35x^5 + 55x^4 - 54x^3 + 34x^2 - 17x + 2$ |
| 65563.d.65563.1 |
65563.d |
\( 65563 \) |
\( -65563 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$2$ |
$2$ |
2.30.3 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.308699\) |
\(1.234795\) |
$[130816,1069940608,34989216779255,-262252]$ |
$[65408,-64832,66561,37608416,-65563]$ |
$[-1197165930283573358624768/65563,18141869085854531584/65563,-284761700450304/65563]$ |
$y^2 + x^2y = x^5 - 224x^4 - 352x^3 - 198x^2 - 47x - 4$ |
| 65563.d.65563.2 |
65563.d |
\( 65563 \) |
\( -65563 \) |
$0$ |
$3$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$2$ |
$2$ |
2.30.3 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(1.234795\) |
\(1.234795\) |
$[1581568,3934648,2071108059239,-262252]$ |
$[790784,26055149836,1144609158248721,56566943905036440092,-65563]$ |
$[-309235516577965841354193895424/65563,-12884488904706476133941510144/65563,-715769129460419404302974976/65563]$ |
$y^2 + xy = x^5 + 32x^4 + 262x^3 + 32x^2 + x$ |
| 72000.b.72000.1 |
72000.b |
\( 2^{6} \cdot 3^{2} \cdot 5^{3} \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{3} \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.902143\) |
\(3.608572\) |
$[980,3667195,3538898400,9000]$ |
$[980,-2404780,-2477980800,-2052847008100,72000]$ |
$[112990099600/9,-282919962220/9,-33053510560]$ |
$y^2 + (x^3 + x)y = -x^6 - 7x^4 + 21x^2 - 15$ |
| 74900.a.749000.1 |
74900.a |
\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 107 \) |
\( - 2^{3} \cdot 5^{3} \cdot 7 \cdot 107 \) |
$0$ |
$5$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$16$ |
\( 2^{2} \) |
\(1.000000\) |
\(0.110203\) |
\(1.763247\) |
$[2028164,263458424809,133008458848994213,-95872000]$ |
$[507041,-265327047,522743883809,48663534930164740,-749000]$ |
$[-33513160918850173734709991201/749000,34586829947697195971053287/749000,-19198932288882512149847/107000]$ |
$y^2 + (x^2 + x)y = 2x^5 - 61x^4 - 93x^3 + 195x^2 + 155x - 220$ |
| 80730.a.242190.1 |
80730.a |
\( 2 \cdot 3^{3} \cdot 5 \cdot 13 \cdot 23 \) |
\( - 2 \cdot 3^{4} \cdot 5 \cdot 13 \cdot 23 \) |
$0$ |
$5$ |
$\Z/6\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.720.4 |
✓ |
✓ |
$16$ |
\( 3 \) |
\(1.000000\) |
\(1.634278\) |
\(2.179038\) |
$[1383708,529321905,240082995537783,31000320]$ |
$[345927,4964006976,94607776497780,2021504760692719371,242190]$ |
$[61155748183150678705726647/2990,1268442398497298567605984/1495,46745472021699944598]$ |
$y^2 + (x^2 + x)y = 22x^6 + 7x^5 + 61x^4 + 14x^3 + 61x^2 + 7x + 22$ |
| 102016.b.102016.1 |
102016.b |
\( 2^{7} \cdot 797 \) |
\( - 2^{7} \cdot 797 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
|
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.788942\) |
\(3.155766\) |
$[7136,6263821,9655704450,-12752]$ |
$[7136,-2054110,535839248,-98904754593,-102016]$ |
$[-144565358387003392/797,5831472760414720/797,-213173999710336/797]$ |
$y^2 + xy = -x^6 - 8x^5 - 8x^4 + 32x^3 - 16x^2 + x - 1$ |
| 106015.b.742105.1 |
106015.b |
\( 5 \cdot 7 \cdot 13 \cdot 233 \) |
\( 5 \cdot 7^{2} \cdot 13 \cdot 233 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$2$ |
$2$ |
2.180.3 |
✓ |
✓ |
$16$ |
\( 2 \) |
\(1.000000\) |
\(1.342071\) |
\(2.684142\) |
$[56420,191694265,2720673249853,94989440]$ |
$[14105,302365,3247101,-11406058405,742105]$ |
$[175289545829295625/233,266404375271125/233,202830163965/233]$ |
$y^2 + (x^2 + x)y = 7x^5 - 66x^4 + 52x^3 - 9x^2 - x$ |
| 111989.a.111989.2 |
111989.a |
\( 53 \cdot 2113 \) |
\( 53 \cdot 2113 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$3$ |
2.120.3 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(2.154971\) |
\(2.154971\) |
$[16976,7208980,34342392335,447956]$ |
$[8488,1800426,432614081,107623634513,111989]$ |
$[44058210592401031168/111989,1101010317277135872/111989,31168176376153664/111989]$ |
$y^2 + xy = x^5 + 5x^4 - 8x^3 - 48x^2 + x$ |
| 121077.a.121077.1 |
121077.a |
\( 3^{2} \cdot 11 \cdot 1223 \) |
\( 3^{2} \cdot 11 \cdot 1223 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
|
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(1.324041\) |
\(5.296165\) |
$[280468,202372345,17960645748237,15497856]$ |
$[70117,196417556,712749098088,2848993051405790,121077]$ |
$[1694792881814644976830357/121077,67709605216733368757828/121077,389350574186698351848/13453]$ |
$y^2 + (x^3 + 1)y = x^6 - 9x^5 + x^4 + 40x^3 - 2x^2 - 51x - 23$ |
| 143039.a.143039.1 |
143039.a |
\( 13 \cdot 11003 \) |
\( - 13 \cdot 11003 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.380625\) |
\(1.522501\) |
$[132020,1851612817,54920704394825,-18308992]$ |
$[33005,-31761783,27758139425,-23163366904241,-143039]$ |
$[-39165050010611353128125/143039,1141942103010688147875/143039,-30237774713788735625/143039]$ |
$y^2 + (x^2 + x + 1)y = -5x^6 - 34x^5 - 47x^4 + 39x^3 - 6x - 1$ |
| 149688.a.299376.1 |
149688.a |
\( 2^{3} \cdot 3^{5} \cdot 7 \cdot 11 \) |
\( - 2^{4} \cdot 3^{5} \cdot 7 \cdot 11 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$16$ |
\( 2 \) |
\(1.000000\) |
\(0.439731\) |
\(3.517849\) |
$[10709280,255376080,910184353854876,-1197504]$ |
$[5354640,1194631167720,355353717454751236,118911900685964597084160,-299376]$ |
$[-1132205169121716742666444800000/77,-47173534667132877160047360000/77,-2620566365698612668618091200/77]$ |
$y^2 + (x^3 + x^2)y = -x^6 + 22x^5 - 216x^4 + 636x^3 + 72x^2 + 2x$ |
| 150729.a.150729.1 |
150729.a |
\( 3 \cdot 47 \cdot 1069 \) |
\( - 3 \cdot 47 \cdot 1069 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
|
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.942481\) |
\(3.769923\) |
$[20360,9892912,87374246589,602916]$ |
$[10180,2669198,-2603678521,-8407516326746,150729]$ |
$[109329884676956800000/150729,2815944719218736000/150729,-269825453959680400/150729]$ |
$y^2 + xy = -3x^6 - 3x^5 - 2x^4 + x^3 + 13x^2 + 4x - 7$ |
| 154541.a.154541.1 |
154541.a |
\( 29 \cdot 73^{2} \) |
\( 29 \cdot 73^{2} \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
|
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.741544\) |
\(2.966177\) |
$[723640,514135012,120130506765671,618164]$ |
$[361820,5369048848,104910698371881,2283025838175964079,154541]$ |
$[6201015922137685796643200000/154541,254316807481986887905664000/154541,13734248994339577481024400/154541]$ |
$y^2 + (x^3 + x)y = -x^6 + 17x^5 - 101x^4 + 38x^3 + 93x^2 + 32x + 3$ |
| 171204.a.684816.1 |
171204.a |
\( 2^{2} \cdot 3 \cdot 11 \cdot 1297 \) |
\( - 2^{4} \cdot 3 \cdot 11 \cdot 1297 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.620523\) |
\(2.482094\) |
$[1976,65358304,220883243364,2739264]$ |
$[988,-10852378,-21550812880,-34766577845081,684816]$ |
$[58838926464448/42801,-654147616649176/42801,-1314793542995920/42801]$ |
$y^2 + (x + 1)y = -3x^6 - 6x^5 + 4x^4 - 9x^3 - 29x^2 + 9x - 1$ |
| 187200.a.748800.1 |
187200.a |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.450513\) |
\(1.802052\) |
$[59140,58967011,1313372871528,93600]$ |
$[59140,106419476,-42837889536,-3464634414818404,748800]$ |
$[113038562752503278500/117,3439419132213547085/117,-200089763665312]$ |
$y^2 + (x^3 + x)y = -x^6 + 2x^4 + 37x^2 - 156$ |
| 190320.a.190320.1 |
190320.a |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 61 \) |
\( - 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 61 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(3.445827\) |
\(3.445827\) |
$[4569720,260088,396145934220,761280]$ |
$[2284860,217524340802,27611803738758720,3943066762298901743999,190320]$ |
$[259469749161717708229059240000/793,10811237393953973522937313800/793,757407390106451204721600]$ |
$y^2 + (x^3 + x)y = x^6 + 46x^4 + 576x^2 + 2379$ |
| 194850.a.194850.1 |
194850.a |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 433 \) |
\( - 2 \cdot 3^{2} \cdot 5^{2} \cdot 433 \) |
$0$ |
$5$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.837463\) |
\(3.349852\) |
$[519280,15095956,2569600991223,-779400]$ |
$[259640,2806356074,40412366838153,654258127945337861,-194850]$ |
$[-23598695579567459227648000/3897,-982398229407257350469120/3897,-6054035645843961740064/433]$ |
$y^2 + xy = 30x^6 - 39x^5 - 47x^4 + 50x^3 + 31x^2 - 17x - 9$ |
| 206320.a.206320.1 |
206320.a |
\( 2^{4} \cdot 5 \cdot 2579 \) |
\( - 2^{4} \cdot 5 \cdot 2579 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(1.104843\) |
\(4.419371\) |
$[58960,-30220712,-309167612820,-825280]$ |
$[29480,41248052,52412289380,-39071875718076,-206320]$ |
$[-278321918217544960000/2579,-13209789397242204800/2579,-569374616204904400/2579]$ |
$y^2 + (x^3 + x)y = x^6 - 5x^5 - 19x^4 - x^3 + 35x^2 + 4x - 17$ |
| 217488.a.217488.1 |
217488.a |
\( 2^{4} \cdot 3 \cdot 23 \cdot 197 \) |
\( - 2^{4} \cdot 3 \cdot 23 \cdot 197 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.705811\) |
\(2.823243\) |
$[10704,38416920,52203349932,-869952]$ |
$[5352,-5209324,4073352996,-1334117825596,-217488]$ |
$[-91482765854275584/4531,16637514486539904/4531,-2430765253657008/4531]$ |
$y^2 + (x + 1)y = -x^6 - 12x^5 - 30x^4 + 36x^3 - 9x^2 + x - 1$ |
| 220191.a.220191.1 |
220191.a |
\( 3 \cdot 19 \cdot 3863 \) |
\( 3 \cdot 19 \cdot 3863 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.671542\) |
\(2.686169\) |
$[111608,764408740,21393267744047,880764]$ |
$[55804,2352144,99382369,3338080735,220191]$ |
$[541161198849242721025024/220191,136250668399996982272/73397,16288699225936816/11589]$ |
$y^2 + (x^3 + x)y = -x^6 + 20x^4 - 20x^3 - 123x^2 + 203x - 82$ |
| 225306.a.675918.1 |
225306.a |
\( 2 \cdot 3^{2} \cdot 12517 \) |
\( - 2 \cdot 3^{3} \cdot 12517 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
|
✓ |
$16$ |
\( 2 \) |
\(1.000000\) |
\(0.482109\) |
\(3.856870\) |
$[171316,705280969,33578458771557,-86517504]$ |
$[42829,47043428,65101552236,143787565681115,-675918]$ |
$[-144108524516655156245149/675918,-1847918307350689464346/337959,-6634293905092795382/37551]$ |
$y^2 + (x^3 + 1)y = -x^6 + 19x^4 + 9x^3 - 107x^2 - 162x - 65$ |
| 249939.a.249939.1 |
249939.a |
\( 3^{3} \cdot 9257 \) |
\( - 3^{3} \cdot 9257 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$2$ |
$2$ |
2.30.3 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(1.118839\) |
\(4.475354\) |
$[135960,222901920,11622651537195,-999756]$ |
$[67980,155403030,137325968145,-3703670604670950,-249939]$ |
$[-53770247694745718400000/9257,-1808169747850400880000/9257,-23504511296278254000/9257]$ |
$y^2 + x^2y = x^5 + x^4 - 45x^3 - 10x^2 + 541x - 357$ |
| 270438.a.270438.1 |
270438.a |
\( 2 \cdot 3 \cdot 7 \cdot 47 \cdot 137 \) |
\( - 2 \cdot 3 \cdot 7 \cdot 47 \cdot 137 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
|
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(1.418182\) |
\(5.672730\) |
$[11860,9607321,28052443421,-34616064]$ |
$[2965,-34004,416332,19538091,-270438]$ |
$[-229151913706853125/270438,443173828089250/135219,-261433449050/19317]$ |
$y^2 + (x^3 + 1)y = -x^6 - 4x^5 + 27x^3 + 26x^2 - 47x - 59$ |
| 270720.b.270720.1 |
270720.b |
\( 2^{7} \cdot 3^{2} \cdot 5 \cdot 47 \) |
\( - 2^{7} \cdot 3^{2} \cdot 5 \cdot 47 \) |
$0$ |
$6$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(3.383512\) |
\(3.383512\) |
$[3249520,48397,52421227290,33840]$ |
$[3249520,439974144002,79428031708101120,16131432551454029721599,270720]$ |
$[566129906277843097800186880000/423,23588744365074445774311454400/423,3098074718373623337958400]$ |
$y^2 + xy = 3x^6 + 70x^4 + 544x^2 + 1410$ |
| 274688.a.274688.1 |
274688.a |
\( 2^{8} \cdot 29 \cdot 37 \) |
\( - 2^{8} \cdot 29 \cdot 37 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$2$ |
$2$ |
2.30.3 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.783612\) |
\(3.134449\) |
$[8144,6441502,12034879778,-34336]$ |
$[8144,-1530804,267412496,-41388379748,-274688]$ |
$[-139942252386504704/1073,3229928570273856/1073,-69281496876176/1073]$ |
$y^2 + x^2y = x^5 - 32x^4 - 80x^3 - 66x^2 - 20x - 2$ |
| 276083.a.276083.2 |
276083.a |
\( 276083 \) |
\( -276083 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$2$ |
$2$ |
2.30.3 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(1.196177\) |
\(4.784709\) |
$[13976,4744408,25551167045,1104332]$ |
$[6988,1243938,-514209569,-1285169554004,276083]$ |
$[16663433074005511168/276083,424480186886987136/276083,-25109955719585936/276083]$ |
$y^2 + (x^3 + x)y = -x^6 - x^5 + 4x^4 + 8x^3 - 16x - 25$ |
| 293712.a.293712.1 |
293712.a |
\( 2^{4} \cdot 3 \cdot 29 \cdot 211 \) |
\( - 2^{4} \cdot 3 \cdot 29 \cdot 211 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.211647\) |
\(0.846589\) |
$[211560,4586651160,198747415326036,-1174848]$ |
$[105780,-298216510,3118654812496,60239554807311695,-293712]$ |
$[-275915803478661696600000/6119,7353619157135452365000/6119,-726997965742565986800/6119]$ |
$y^2 + xy = -13x^6 - 12x^5 + 63x^4 + 23x^3 - 81x^2 + 27x - 6$ |
| 300429.a.300429.1 |
300429.a |
\( 3^{4} \cdot 3709 \) |
\( 3^{4} \cdot 3709 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(1.084052\) |
\(4.336206\) |
$[101940,450614601,12131994576069,38454912]$ |
$[25485,8286276,2730854248,233362640526,300429]$ |
$[132720549385392178125/3709,1693278092783388500/3709,197072165078276200/33381]$ |
$y^2 + (x^2 + x + 1)y = -3x^6 + 26x^4 - 18x^3 - 28x^2 + 9x - 1$ |
| 305408.b.305408.1 |
305408.b |
\( 2^{8} \cdot 1193 \) |
\( - 2^{8} \cdot 1193 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$2$ |
$2$ |
2.30.3 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(1.221758\) |
\(4.887031\) |
$[53048,861982,14699447690,-38176]$ |
$[53048,116679108,340961546816,1118328472954876,-305408]$ |
$[-1640986881539126035328/1193,-68039353714246297656/1193,-3748033527077139344/1193]$ |
$y^2 + x^2y = x^5 + 16x^4 + 72x^3 + 17x^2 - 4x - 1$ |
| 323375.a.323375.1 |
323375.a |
\( 5^{3} \cdot 13 \cdot 199 \) |
\( - 5^{3} \cdot 13 \cdot 199 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.687406\) |
\(2.749623\) |
$[49256,23881480,574290197005,1293500]$ |
$[24628,21292186,-2002408209,-125668123507462,323375]$ |
$[9060365643842583098368/323375,318058997757850118272/323375,-1214537439195194256/323375]$ |
$y^2 + xy = -5x^6 - 5x^5 + 4x^4 - x^3 + 11x^2 + 4x - 9$ |
| 335104.b.335104.1 |
335104.b |
\( 2^{8} \cdot 7 \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 7 \cdot 11 \cdot 17 \) |
$0$ |
$5$ |
$\Z/6\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.720.4 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(2.377955\) |
\(1.056869\) |
$[1010856,1920990,646395434454,41888]$ |
$[1010856,42574963204,2390810114147840,151034314231268751356,335104]$ |
$[53544611964800069000350848/17,2230958391037332607800072/17,7290277486569622258560]$ |
$y^2 + x^2y = 7x^6 + 63x^4 + 189x^2 + 187$ |
| 373030.a.746060.1 |
373030.a |
\( 2 \cdot 5 \cdot 7 \cdot 73^{2} \) |
\( - 2^{2} \cdot 5 \cdot 7 \cdot 73^{2} \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$2$ |
$2$ |
2.30.3 |
✓ |
✓ |
$16$ |
\( 2 \) |
\(1.000000\) |
\(0.517258\) |
\(4.138063\) |
$[5704,134067688,-285708924629,-2984240]$ |
$[2852,-22005702,49501035185,-85768492041296,-746060]$ |
$[-47172361122507008/186515,127621486742193504/186515,-2875976200681516/5329]$ |
$y^2 + x^2y = 2x^5 - 22x^4 - 51x^3 - 35x^2 - 25x - 18$ |
| 417152.a.417152.1 |
417152.a |
\( 2^{7} \cdot 3259 \) |
\( - 2^{7} \cdot 3259 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
|
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.691503\) |
\(2.766014\) |
$[5468,10622470,7817476501,-52144]$ |
$[5468,-5835854,4185810564,-2792294936341,-417152]$ |
$[-38188496456892856/3259,7453838285890001/3259,-1955494539257649/6518]$ |
$y^2 + (x^3 + x)y = -x^6 - 7x^5 - 15x^4 + 12x^3 + 16x^2 + x - 9$ |
| 434048.a.434048.1 |
434048.a |
\( 2^{7} \cdot 3391 \) |
\( 2^{7} \cdot 3391 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
|
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.909244\) |
\(3.636977\) |
$[31808,56868925,460055176656,54256]$ |
$[31808,4243586,535790144,-241402309761,434048]$ |
$[254373487305614688256/3391,1066920663724396544/3391,4235039605737472/3391]$ |
$y^2 + xy = -x^6 + 16x^5 - 80x^4 + 128x^3 - 64x^2 - 2x + 2$ |
| 438837.b.438837.1 |
438837.b |
\( 3 \cdot 7 \cdot 20897 \) |
\( 3 \cdot 7 \cdot 20897 \) |
$0$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.329271\) |
\(5.268339\) |
$[7136,51719056,-458896265,1755348]$ |
$[3568,-8089400,8699355841,-8599772679828,438837]$ |
$[578261433548013568/438837,-367443735715020800/438837,110748228253974784/438837]$ |
$y^2 + (x + 1)y = -28x^6 - 47x^5 - 43x^4 + 2x^3 + 11x^2 - 1$ |
| 439280.a.439280.1 |
439280.a |
\( 2^{4} \cdot 5 \cdot 17^{2} \cdot 19 \) |
\( - 2^{4} \cdot 5 \cdot 17^{2} \cdot 19 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.535599\) |
\(2.142397\) |
$[6984,118069752,-152783750124,-1757120]$ |
$[3492,-19170206,36162484160,-60304350848929,-439280]$ |
$[-32452726709477952/27455,51018713390580408/27455,-290110293582912/289]$ |
$y^2 + (x^2 + 1)y = -x^6 - 13x^4 + 36x^2 - 24$ |
| 456960.c.913920.1 |
456960.c |
\( 2^{8} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{9} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
$1$ |
$6$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
✓ |
$16$ |
\( 1 \) |
\(0.519810\) |
\(1.587454\) |
\(3.300700\) |
$[2757032,14577118,13377979235542,114240]$ |
$[2757032,316708008964,48506712556968960,8357648948106035343356,913920]$ |
$[311127982838559560387716745536/1785,12963268178085404526178374196/1785,403438438743571080790912]$ |
$y^2 + xy = -5x^6 - 79x^4 - 413x^2 - 714$ |
| 483552.a.483552.1 |
483552.a |
\( 2^{5} \cdot 3^{2} \cdot 23 \cdot 73 \) |
\( 2^{5} \cdot 3^{2} \cdot 23 \cdot 73 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(4.625150\) |
\(4.625150\) |
$[11607752,391864,1516173091284,1934208]$ |
$[5803876,1403540627330,452554166887189632,164160493832666167421183,483552]$ |
$[205797761914146968633542599227168/15111,8574906347408441043142078203940/15111,31525619855581992833940416]$ |
$y^2 + (x + 1)y = -x^6 + 30x^5 - 278x^4 + 805x^3 - 228x^2 + 22x - 1$ |
| 494451.a.494451.1 |
494451.a |
\( 3^{3} \cdot 18313 \) |
\( - 3^{3} \cdot 18313 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$2$ |
$2$ |
2.30.3 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(1.087879\) |
\(4.351516\) |
$[18024,6915240,47677377285,1977804]$ |
$[9012,2231466,-718035561,-2862594246222,494451]$ |
$[2201618931874569216/18313,60490901801917824/18313,-2159854797010992/18313]$ |
$y^2 + (x^2 + 1)y = x^5 - 24x^4 - 12x^3 - 14x^2 - 6x - 1$ |
| 523925.a.523925.1 |
523925.a |
\( 5^{2} \cdot 19 \cdot 1103 \) |
\( 5^{2} \cdot 19 \cdot 1103 \) |
$0$ |
$3$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(3.349375\) |
\(3.349375\) |
$[10640,1775404,7085263351,2095700]$ |
$[5320,883366,-1437239,-196995400359,523925]$ |
$[8971489472512000/1103,280015432238080/1103,-85636448576/1103]$ |
$y^2 + xy = -6x^6 - 19x^5 - 29x^4 - 24x^3 - 8x^2 + 2x + 3$ |
| 530822.a.530822.1 |
530822.a |
\( 2 \cdot 19 \cdot 61 \cdot 229 \) |
\( - 2 \cdot 19 \cdot 61 \cdot 229 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$16$ |
\( 1 \) |
\(1.000000\) |
\(0.791761\) |
\(3.167043\) |
$[25784,-6938048,76697264989,2123288]$ |
$[12892,8081494,-7702956897,-41154266397040,530822]$ |
$[178062098997602479616/265411,8658099045737827136/265411,-640129829957735304/265411]$ |
$y^2 + xy = x^5 + 9x^4 + 35x^3 - 344x - 578$ |
