| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 88305.a1 |
88305b1 |
88305.a |
88305b |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{7} \cdot 5^{7} \cdot 7^{10} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$870$ |
$2$ |
$0$ |
$13.67155888$ |
$1$ |
|
$0$ |
$49392000$ |
$3.856552$ |
$-860232957686415069184/1399642790416171875$ |
$1.01525$ |
$6.12418$ |
$[0, -1, 1, -166632656, 1616417999612]$ |
\(y^2+y=x^3-x^2-166632656x+1616417999612\) |
870.2.0.? |
$[(2664009370/327, 125722772345888/327)]$ |
| 88305.b1 |
88305n1 |
88305.b |
88305n |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3 \cdot 5^{5} \cdot 7^{2} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$870$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1545600$ |
$1.833551$ |
$-508934139904/13321875$ |
$0.86691$ |
$4.14483$ |
$[0, 1, 1, -139886, -20634784]$ |
\(y^2+y=x^3+x^2-139886x-20634784\) |
870.2.0.? |
$[]$ |
| 88305.c1 |
88305s1 |
88305.c |
88305s |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{9} \cdot 5 \cdot 7^{2} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$870$ |
$2$ |
$0$ |
$0.218352915$ |
$1$ |
|
$6$ |
$1572480$ |
$1.927229$ |
$-5304438784/139847715$ |
$0.90308$ |
$4.07745$ |
$[0, 1, 1, -30556, 14017780]$ |
\(y^2+y=x^3+x^2-30556x+14017780\) |
870.2.0.? |
$[(425, 8830)]$ |
| 88305.d1 |
88305c1 |
88305.d |
88305c |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{5} \cdot 5 \cdot 7 \cdot 29^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$556800$ |
$1.780409$ |
$-313021969/8505$ |
$0.81984$ |
$4.08709$ |
$[1, 1, 1, -112291, -14866126]$ |
\(y^2+xy+y=x^3+x^2-112291x-14866126\) |
420.2.0.? |
$[]$ |
| 88305.e1 |
88305d1 |
88305.e |
88305d |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{3} \cdot 5^{2} \cdot 7^{7} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$84$ |
$2$ |
$0$ |
$0.647565841$ |
$1$ |
|
$4$ |
$2338560$ |
$2.609718$ |
$545196438191/555891525$ |
$0.92042$ |
$4.73834$ |
$[1, 1, 1, 1351049, -527035126]$ |
\(y^2+xy+y=x^3+x^2+1351049x-527035126\) |
84.2.0.? |
$[(2032, 102006)]$ |
| 88305.f1 |
88305e1 |
88305.f |
88305e |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{13} \cdot 5^{14} \cdot 7 \cdot 29^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$84$ |
$2$ |
$0$ |
$23.75851265$ |
$1$ |
|
$0$ |
$6639360$ |
$3.041805$ |
$115591090535065591151/68116827392578125$ |
$1.07561$ |
$5.23910$ |
$[1, 1, 1, 9041994, 1419286128]$ |
\(y^2+xy+y=x^3+x^2+9041994x+1419286128\) |
84.2.0.? |
$[(20026483824/731, 2835919974197872/731)]$ |
| 88305.g1 |
88305g1 |
88305.g |
88305g |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3 \cdot 5^{8} \cdot 7 \cdot 29^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$84$ |
$2$ |
$0$ |
$0.718135644$ |
$1$ |
|
$12$ |
$53760$ |
$0.567509$ |
$-95930521/8203125$ |
$0.92020$ |
$2.64442$ |
$[1, 1, 1, -90, 3972]$ |
\(y^2+xy+y=x^3+x^2-90x+3972\) |
84.2.0.? |
$[(32, 171), (-18, 21)]$ |
| 88305.h1 |
88305f4 |
88305.h |
88305f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{2} \cdot 5^{4} \cdot 7^{8} \cdot 29^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1160$ |
$48$ |
$0$ |
$3.042917179$ |
$1$ |
|
$12$ |
$3440640$ |
$2.675846$ |
$2040699095041321/940383163125$ |
$0.94521$ |
$4.86944$ |
$[1, 1, 1, -2222360, -576470788]$ |
\(y^2+xy+y=x^3+x^2-2222360x-576470788\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.5, 58.6.0.a.1, 116.24.0.?, $\ldots$ |
$[(3192, 156091), (-1013, 25736)]$ |
| 88305.h2 |
88305f2 |
88305.h |
88305f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{4} \cdot 5^{2} \cdot 7^{4} \cdot 29^{8} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$580$ |
$48$ |
$0$ |
$12.17166871$ |
$1$ |
|
$12$ |
$1720320$ |
$2.329269$ |
$264621653112601/4088963025$ |
$0.91296$ |
$4.69007$ |
$[1, 1, 1, -1124855, 452549900]$ |
\(y^2+xy+y=x^3+x^2-1124855x+452549900\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.3, 116.24.0.?, 580.48.0.? |
$[(308, 11483), (-231, 26575)]$ |
| 88305.h3 |
88305f1 |
88305.h |
88305f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 29^{7} \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1160$ |
$48$ |
$0$ |
$12.17166871$ |
$1$ |
|
$7$ |
$860160$ |
$1.982697$ |
$261665059972681/63945$ |
$0.91255$ |
$4.68908$ |
$[1, 1, 1, -1120650, 456151062]$ |
\(y^2+xy+y=x^3+x^2-1120650x+456151062\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.13, 232.24.0.?, 290.6.0.?, $\ldots$ |
$[(610, -337), (1075/2, 104593/2)]$ |
| 88305.h4 |
88305f3 |
88305.h |
88305f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{8} \cdot 5 \cdot 7^{2} \cdot 29^{10} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1160$ |
$48$ |
$0$ |
$12.17166871$ |
$1$ |
|
$8$ |
$3440640$ |
$2.675846$ |
$-157551496201/1136915307045$ |
$1.00854$ |
$4.86611$ |
$[1, 1, 1, -94630, 1251180320]$ |
\(y^2+xy+y=x^3+x^2-94630x+1251180320\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0.h.1, 40.24.0-20.h.1.5, $\ldots$ |
$[(-520, 34320), (16300, 2072904)]$ |
| 88305.i1 |
88305h1 |
88305.i |
88305h |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{11} \cdot 5 \cdot 7^{9} \cdot 29^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$57879360$ |
$4.085991$ |
$-181746843138841/35742602096145$ |
$1.05221$ |
$6.35182$ |
$[1, 1, 1, -88424860, -5908564148890]$ |
\(y^2+xy+y=x^3+x^2-88424860x-5908564148890\) |
420.2.0.? |
$[]$ |
| 88305.j1 |
88305i2 |
88305.j |
88305i |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{6} \cdot 5^{10} \cdot 7^{4} \cdot 29^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$0.669039370$ |
$1$ |
|
$10$ |
$1505280$ |
$2.077023$ |
$39217017445206749/17093056640625$ |
$1.00096$ |
$4.24196$ |
$[1, 1, 1, -205265, 17698322]$ |
\(y^2+xy+y=x^3+x^2-205265x+17698322\) |
2.3.0.a.1, 20.6.0.d.1, 58.6.0.a.1, 580.12.0.? |
$[(582, 9496)]$ |
| 88305.j2 |
88305i1 |
88305.j |
88305i |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{12} \cdot 5^{5} \cdot 7^{2} \cdot 29^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$1.338078740$ |
$1$ |
|
$7$ |
$752640$ |
$1.730450$ |
$4474913603501069/81376903125$ |
$0.97277$ |
$4.05136$ |
$[1, 1, 1, -99560, -11941360]$ |
\(y^2+xy+y=x^3+x^2-99560x-11941360\) |
2.3.0.a.1, 20.6.0.d.1, 116.6.0.?, 290.6.0.?, 580.12.0.? |
$[(-172, 448)]$ |
| 88305.k1 |
88305k4 |
88305.k |
88305k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3 \cdot 5^{4} \cdot 7 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24360$ |
$48$ |
$0$ |
$6.775581203$ |
$1$ |
|
$0$ |
$401408$ |
$1.517685$ |
$157551496201/13125$ |
$0.96087$ |
$4.03798$ |
$[1, 1, 1, -94630, -11243098]$ |
\(y^2+xy+y=x^3+x^2-94630x-11243098\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 42.6.0.a.1, 84.12.0.?, $\ldots$ |
$[(20959/5, 2741342/5)]$ |
| 88305.k2 |
88305k2 |
88305.k |
88305k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$12180$ |
$48$ |
$0$ |
$3.387790601$ |
$1$ |
|
$6$ |
$200704$ |
$1.171112$ |
$47045881/11025$ |
$1.04751$ |
$3.32530$ |
$[1, 1, 1, -6325, -151990]$ |
\(y^2+xy+y=x^3+x^2-6325x-151990\) |
2.6.0.a.1, 20.12.0.a.1, 84.12.0.?, 116.12.0.?, 420.24.0.?, $\ldots$ |
$[(-32, 153)]$ |
| 88305.k3 |
88305k1 |
88305.k |
88305k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3 \cdot 5 \cdot 7 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24360$ |
$48$ |
$0$ |
$6.775581203$ |
$1$ |
|
$1$ |
$100352$ |
$0.824538$ |
$1771561/105$ |
$0.96659$ |
$3.03736$ |
$[1, 1, 1, -2120, 34712]$ |
\(y^2+xy+y=x^3+x^2-2120x+34712\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 168.12.0.?, 210.6.0.?, $\ldots$ |
$[(896/5, 7691/5)]$ |
| 88305.k4 |
88305k3 |
88305.k |
88305k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{4} \cdot 5 \cdot 7^{4} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24360$ |
$48$ |
$0$ |
$1.693895300$ |
$1$ |
|
$6$ |
$401408$ |
$1.517685$ |
$590589719/972405$ |
$0.94478$ |
$3.60125$ |
$[1, 1, 1, 14700, -925710]$ |
\(y^2+xy+y=x^3+x^2+14700x-925710\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 116.12.0.?, 168.12.0.?, $\ldots$ |
$[(60, 390)]$ |
| 88305.l1 |
88305x4 |
88305.l |
88305x |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{4} \cdot 5^{12} \cdot 7^{2} \cdot 29^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18063360$ |
$3.551128$ |
$25624056865771295207641/28100830078125$ |
$0.99778$ |
$6.30472$ |
$[1, 0, 0, -516540115, -4518641863708]$ |
\(y^2+xy=x^3-516540115x-4518641863708\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.5, 58.6.0.a.1, 116.24.0.?, $\ldots$ |
$[]$ |
| 88305.l2 |
88305x2 |
88305.l |
88305x |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{8} \cdot 5^{6} \cdot 7^{4} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$580$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$9031680$ |
$3.204556$ |
$6406263345210248521/207003753140625$ |
$0.96720$ |
$5.57644$ |
$[1, 0, 0, -32540410, -69426175525]$ |
\(y^2+xy=x^3-32540410x-69426175525\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.3, 116.24.0.?, 580.48.0.? |
$[]$ |
| 88305.l3 |
88305x1 |
88305.l |
88305x |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{16} \cdot 5^{3} \cdot 7^{2} \cdot 29^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$4515840$ |
$2.857983$ |
$22569455565127801/7646173817625$ |
$1.02268$ |
$5.08047$ |
$[1, 0, 0, -4951405, 2730108152]$ |
\(y^2+xy=x^3-4951405x+2730108152\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.13, 232.24.0.?, 290.6.0.?, $\ldots$ |
$[]$ |
| 88305.l4 |
88305x3 |
88305.l |
88305x |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{4} \cdot 5^{3} \cdot 7^{8} \cdot 29^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18063360$ |
$3.551128$ |
$187895234960241479/41283008937820125$ |
$1.01976$ |
$5.78784$ |
$[1, 0, 0, 10035215, -238102286650]$ |
\(y^2+xy=x^3+10035215x-238102286650\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0.h.1, 40.24.0-20.h.1.5, $\ldots$ |
$[]$ |
| 88305.m1 |
88305l1 |
88305.m |
88305l |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{13} \cdot 5^{5} \cdot 7^{4} \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$870$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18578560$ |
$3.724331$ |
$20646593446445056/11962404759375$ |
$1.13552$ |
$5.95967$ |
$[0, -1, 1, 139391265, -21840888994]$ |
\(y^2+y=x^3-x^2+139391265x-21840888994\) |
870.2.0.? |
$[]$ |
| 88305.n1 |
88305y1 |
88305.n |
88305y |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{13} \cdot 5^{5} \cdot 7^{4} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$870$ |
$2$ |
$0$ |
$0.074736782$ |
$1$ |
|
$10$ |
$640640$ |
$2.040684$ |
$20646593446445056/11962404759375$ |
$1.13552$ |
$4.18563$ |
$[0, 1, 1, 165745, -838369]$ |
\(y^2+y=x^3+x^2+165745x-838369\) |
870.2.0.? |
$[(2455, 123322)]$ |
| 88305.o1 |
88305a4 |
88305.o |
88305a |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3 \cdot 5 \cdot 7^{4} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24360$ |
$48$ |
$0$ |
$12.30984159$ |
$1$ |
|
$0$ |
$1290240$ |
$2.147594$ |
$1382804639990929/1044435$ |
$0.92311$ |
$4.83526$ |
$[1, 1, 0, -1951978, 1048875037]$ |
\(y^2+xy=x^3+x^2-1951978x+1048875037\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 580.12.0.?, $\ldots$ |
$[(6610503/22, 16838622113/22)]$ |
| 88305.o2 |
88305a2 |
88305.o |
88305a |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$12180$ |
$48$ |
$0$ |
$6.154920798$ |
$1$ |
|
$4$ |
$645120$ |
$1.801022$ |
$344324701729/9272025$ |
$0.86171$ |
$4.10663$ |
$[1, 1, 0, -122803, 16122832]$ |
\(y^2+xy=x^3+x^2-122803x+16122832\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 140.12.0.?, 420.24.0.?, 580.12.0.?, $\ldots$ |
$[(13632, 1584356)]$ |
| 88305.o3 |
88305a1 |
88305.o |
88305a |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3 \cdot 5^{4} \cdot 7 \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24360$ |
$48$ |
$0$ |
$12.30984159$ |
$1$ |
|
$1$ |
$322560$ |
$1.454449$ |
$1027243729/380625$ |
$0.81389$ |
$3.59606$ |
$[1, 1, 0, -17678, -549993]$ |
\(y^2+xy=x^3+x^2-17678x-549993\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 280.12.0.?, 812.12.0.?, $\ldots$ |
$[(-836591/88, 266469779/88)]$ |
| 88305.o4 |
88305a3 |
88305.o |
88305a |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{4} \cdot 5 \cdot 7 \cdot 29^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24360$ |
$48$ |
$0$ |
$3.077460399$ |
$4$ |
$2$ |
$4$ |
$1290240$ |
$2.147594$ |
$2691419471/2005141635$ |
$0.95015$ |
$4.30930$ |
$[1, 1, 0, 24372, 52533927]$ |
\(y^2+xy=x^3+x^2+24372x+52533927\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 70.6.0.a.1, 140.12.0.?, $\ldots$ |
$[(-346, 1855)]$ |
| 88305.p1 |
88305j1 |
88305.p |
88305j |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{5} \cdot 5^{10} \cdot 7^{3} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12180$ |
$12$ |
$0$ |
$4.137143331$ |
$1$ |
|
$3$ |
$8064000$ |
$3.142361$ |
$13263598743074512561/23604697265625$ |
$0.96973$ |
$5.64034$ |
$[1, 1, 0, -41473932, 102628742139]$ |
\(y^2+xy=x^3+x^2-41473932x+102628742139\) |
2.3.0.a.1, 20.6.0.b.1, 1218.6.0.?, 12180.12.0.? |
$[(87698, 25858951)]$ |
| 88305.p2 |
88305j2 |
88305.p |
88305j |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{10} \cdot 5^{5} \cdot 7^{6} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12180$ |
$12$ |
$0$ |
$2.068571665$ |
$1$ |
|
$4$ |
$16128000$ |
$3.488937$ |
$-4228901316132262561/18257731027003125$ |
$0.98905$ |
$5.72748$ |
$[1, 1, 0, -28333307, 168833839014]$ |
\(y^2+xy=x^3+x^2-28333307x+168833839014\) |
2.3.0.a.1, 20.6.0.a.1, 2436.6.0.?, 12180.12.0.? |
$[(-6842, 209466)]$ |
| 88305.q1 |
88305m1 |
88305.q |
88305m |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{5} \cdot 5 \cdot 7 \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19200$ |
$0.096761$ |
$-313021969/8505$ |
$0.81984$ |
$2.31305$ |
$[1, 0, 1, -134, -619]$ |
\(y^2+xy+y=x^3-134x-619\) |
420.2.0.? |
$[]$ |
| 88305.r1 |
88305r1 |
88305.r |
88305r |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{13} \cdot 5^{14} \cdot 7 \cdot 29^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$84$ |
$2$ |
$0$ |
$21.62214160$ |
$1$ |
|
$0$ |
$192541440$ |
$4.725456$ |
$115591090535065591151/68116827392578125$ |
$1.07561$ |
$7.01314$ |
$[1, 0, 1, 7604316936, 34523717576887]$ |
\(y^2+xy+y=x^3+7604316936x+34523717576887\) |
84.2.0.? |
$[(13116076001/857, 8345092781180310/857)]$ |
| 88305.s1 |
88305o1 |
88305.s |
88305o |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3 \cdot 5^{2} \cdot 7 \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12180$ |
$12$ |
$0$ |
$15.11332693$ |
$1$ |
|
$1$ |
$215040$ |
$1.221691$ |
$148035889/15225$ |
$0.88914$ |
$3.42596$ |
$[1, 0, 1, -9269, 310667]$ |
\(y^2+xy+y=x^3-9269x+310667\) |
2.3.0.a.1, 20.6.0.b.1, 1218.6.0.?, 12180.12.0.? |
$[(-3623969/246, 12457588619/246)]$ |
| 88305.s2 |
88305o2 |
88305.s |
88305o |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{2} \cdot 5 \cdot 7^{2} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12180$ |
$12$ |
$0$ |
$7.556663469$ |
$1$ |
|
$0$ |
$430080$ |
$1.568266$ |
$302111711/1854405$ |
$0.83805$ |
$3.68726$ |
$[1, 0, 1, 11756, 1521707]$ |
\(y^2+xy+y=x^3+11756x+1521707\) |
2.3.0.a.1, 20.6.0.a.1, 2436.6.0.?, 12180.12.0.? |
$[(38481/13, 8541430/13)]$ |
| 88305.t1 |
88305p1 |
88305.t |
88305p |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{3} \cdot 5^{2} \cdot 7^{7} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$84$ |
$2$ |
$0$ |
$0.435016784$ |
$1$ |
|
$4$ |
$80640$ |
$0.926068$ |
$545196438191/555891525$ |
$0.92042$ |
$2.96429$ |
$[1, 0, 1, 1606, -21499]$ |
\(y^2+xy+y=x^3+1606x-21499\) |
84.2.0.? |
$[(21, 136)]$ |
| 88305.u1 |
88305q4 |
88305.u |
88305q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3 \cdot 5^{8} \cdot 7 \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$28.43242397$ |
$1$ |
|
$0$ |
$1720320$ |
$2.350384$ |
$3835168345623889/237890625$ |
$0.92921$ |
$4.92484$ |
$[1, 0, 1, -2742519, 1747802701]$ |
\(y^2+xy+y=x^3-2742519x+1747802701\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.ba.1, 168.24.0.?, $\ldots$ |
$[(66621481008109/80860, 534315688260883196303/80860)]$ |
| 88305.u2 |
88305q3 |
88305.u |
88305q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{4} \cdot 5^{2} \cdot 7 \cdot 29^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$7.108105992$ |
$1$ |
|
$0$ |
$1720320$ |
$2.350384$ |
$143622619359409/10025708175$ |
$0.91018$ |
$4.63641$ |
$[1, 0, 1, -917549, -317309803]$ |
\(y^2+xy+y=x^3-917549x-317309803\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0.h.1, 116.12.0.?, $\ldots$ |
$[(-110289/13, 4916575/13)]$ |
| 88305.u3 |
88305q2 |
88305.u |
88305q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2436$ |
$48$ |
$0$ |
$14.21621198$ |
$1$ |
|
$2$ |
$860160$ |
$2.003811$ |
$1114835073409/231800625$ |
$0.87761$ |
$4.20980$ |
$[1, 0, 1, -181674, 23841847]$ |
\(y^2+xy+y=x^3-181674x+23841847\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.a.1, 84.24.0.?, 116.12.0.?, $\ldots$ |
$[(42846319/65, 278825775292/65)]$ |
| 88305.u4 |
88305q1 |
88305.u |
88305q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3 \cdot 5^{2} \cdot 7^{4} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$7.108105992$ |
$1$ |
|
$1$ |
$430080$ |
$1.657238$ |
$2691419471/5222175$ |
$0.84163$ |
$3.75577$ |
$[1, 0, 1, 24371, 2248331]$ |
\(y^2+xy+y=x^3+24371x+2248331\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.ba.1, 116.12.0.?, $\ldots$ |
$[(6883/6, 784733/6)]$ |
| 88305.v1 |
88305w2 |
88305.v |
88305w |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{6} \cdot 5^{10} \cdot 7^{4} \cdot 29^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43653120$ |
$3.760670$ |
$39217017445206749/17093056640625$ |
$1.00096$ |
$6.01600$ |
$[1, 0, 1, -172627883, 433715914181]$ |
\(y^2+xy+y=x^3-172627883x+433715914181\) |
2.3.0.a.1, 20.6.0.d.1, 58.6.0.a.1, 580.12.0.? |
$[]$ |
| 88305.v2 |
88305w1 |
88305.v |
88305w |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{12} \cdot 5^{5} \cdot 7^{2} \cdot 29^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21826560$ |
$3.414097$ |
$4474913603501069/81376903125$ |
$0.97277$ |
$5.82540$ |
$[1, 0, 1, -83729978, -290233064977]$ |
\(y^2+xy+y=x^3-83729978x-290233064977\) |
2.3.0.a.1, 20.6.0.d.1, 116.6.0.?, 290.6.0.?, 580.12.0.? |
$[]$ |
| 88305.w1 |
88305v1 |
88305.w |
88305v |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{11} \cdot 5 \cdot 7^{9} \cdot 29^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1995840$ |
$2.402344$ |
$-181746843138841/35742602096145$ |
$1.05221$ |
$4.57777$ |
$[1, 0, 1, -105143, -242270737]$ |
\(y^2+xy+y=x^3-105143x-242270737\) |
420.2.0.? |
$[]$ |
| 88305.x1 |
88305t8 |
88305.x |
88305t |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{16} \cdot 5 \cdot 7^{4} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.111 |
2B |
$97440$ |
$768$ |
$13$ |
$10.61472788$ |
$1$ |
|
$0$ |
$34406400$ |
$3.740177$ |
$708102767635831683894241/14986500682545$ |
$1.00805$ |
$6.59615$ |
$[1, 0, 1, -1561661328, -23753672726807]$ |
\(y^2+xy+y=x^3-1561661328x-23753672726807\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 16.48.0-16.g.1.9, 20.12.0-4.c.1.1, $\ldots$ |
$[(72890087/7, 621827218944/7)]$ |
| 88305.x2 |
88305t6 |
88305.x |
88305t |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{8} \cdot 5^{2} \cdot 7^{8} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.143 |
2Cs |
$48720$ |
$768$ |
$13$ |
$21.22945576$ |
$1$ |
|
$2$ |
$17203200$ |
$3.393600$ |
$173449931524273005841/795225618065025$ |
$0.98016$ |
$5.86608$ |
$[1, 0, 1, -97711603, -370296559327]$ |
\(y^2+xy+y=x^3-97711603x-370296559327\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.1, 20.24.0-4.b.1.2, 40.96.0-40.bc.1.13, $\ldots$ |
$[(-6412587881/1086, 23629324873255/1086)]$ |
| 88305.x3 |
88305t7 |
88305.x |
88305t |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{4} \cdot 5 \cdot 7^{16} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.111 |
2B |
$97440$ |
$768$ |
$13$ |
$42.45891152$ |
$1$ |
|
$0$ |
$34406400$ |
$3.740177$ |
$-20980751961338245441/390320769539963745$ |
$1.00949$ |
$5.98802$ |
$[1, 0, 1, -48323878, -744418453747]$ |
\(y^2+xy+y=x^3-48323878x-744418453747\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 16.48.0-16.g.1.9, 20.12.0-4.c.1.2, $\ldots$ |
$[(2708284309750883119/2698710, 4452523081199413708791914827/2698710)]$ |
| 88305.x4 |
88305t4 |
88305.x |
88305t |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 29^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.43 |
2Cs |
$48720$ |
$768$ |
$13$ |
$10.61472788$ |
$1$ |
|
$2$ |
$8601600$ |
$3.047028$ |
$149620653479787841/85970447600625$ |
$1.00893$ |
$5.24655$ |
$[1, 0, 1, -9301478, 919873523]$ |
\(y^2+xy+y=x^3-9301478x+919873523\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.1, 40.96.0-40.b.1.22, 116.48.0.?, $\ldots$ |
$[(-55841/6, 23447635/6)]$ |
| 88305.x5 |
88305t2 |
88305.x |
88305t |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.82 |
2Cs |
$48720$ |
$768$ |
$13$ |
$5.307363940$ |
$1$ |
|
$4$ |
$4300800$ |
$2.700455$ |
$55254534707337841/144875390625$ |
$0.94400$ |
$5.15908$ |
$[1, 0, 1, -6673353, 6619751023]$ |
\(y^2+xy+y=x^3-6673353x+6619751023\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.3, 80.96.0.?, 84.24.0.?, $\ldots$ |
$[(1369, 6395)]$ |
| 88305.x6 |
88305t1 |
88305.x |
88305t |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 3 \cdot 5^{4} \cdot 7 \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.86 |
2B |
$97440$ |
$768$ |
$13$ |
$10.61472788$ |
$1$ |
|
$1$ |
$2150400$ |
$2.353882$ |
$55150149867714721/380625$ |
$0.94394$ |
$5.15892$ |
$[1, 0, 1, -6669148, 6628529381]$ |
\(y^2+xy+y=x^3-6669148x+6628529381\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.g.1.1, 84.12.0.?, $\ldots$ |
$[(5192475/59, -163583662/59)]$ |
| 88305.x7 |
88305t3 |
88305.x |
88305t |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3 \cdot 5^{16} \cdot 7 \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.86 |
2B |
$97440$ |
$768$ |
$13$ |
$10.61472788$ |
$1$ |
|
$0$ |
$8601600$ |
$3.047028$ |
$-12931706531187361/92926025390625$ |
$0.96987$ |
$5.25956$ |
$[1, 0, 1, -4112508, 11757830431]$ |
\(y^2+xy+y=x^3-4112508x+11757830431\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.g.1.1, 84.12.0.?, $\ldots$ |
$[(599785/8, 454495129/8)]$ |
| 88305.x8 |
88305t5 |
88305.x |
88305t |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.61 |
2B |
$97440$ |
$768$ |
$13$ |
$21.22945576$ |
$1$ |
|
$0$ |
$17203200$ |
$3.393600$ |
$9462467906178230159/5515216702895025$ |
$1.02448$ |
$5.61069$ |
$[1, 0, 1, 37058647, 7354658873]$ |
\(y^2+xy+y=x^3+37058647x+7354658873\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.q.1, 16.48.0-8.q.1.1, 40.48.0.bf.2, $\ldots$ |
$[(1739861959/654, 132239227420735/654)]$ |
