| 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 |
| 11310.i1 |
11310i4 |
11310.i |
11310i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2 \cdot 3^{5} \cdot 5^{3} \cdot 13 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$414720$ |
$2.450428$ |
$8351005675201800382877041/395069604635949750$ |
$1.00404$ |
$6.14826$ |
$[1, 1, 1, -4226735, 3342790415]$ |
\(y^2+xy+y=x^3+x^2-4226735x+3342790415\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.5, 156.12.0.?, $\ldots$ |
$[]$ |
| 33930.a1 |
33930l4 |
33930.a |
33930l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \) |
\( 2 \cdot 3^{11} \cdot 5^{3} \cdot 13 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3317760$ |
$2.999733$ |
$8351005675201800382877041/395069604635949750$ |
$1.00404$ |
$6.13265$ |
$[1, -1, 0, -38040615, -90293381825]$ |
\(y^2+xy=x^3-x^2-38040615x-90293381825\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 52.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 56550.bc1 |
56550t4 |
56550.bc |
56550t |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2 \cdot 3^{5} \cdot 5^{9} \cdot 13 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$9953280$ |
$3.255146$ |
$8351005675201800382877041/395069604635949750$ |
$1.00404$ |
$6.12645$ |
$[1, 0, 1, -105668376, 418060138648]$ |
\(y^2+xy+y=x^3-105668376x+418060138648\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 312.24.0.?, $\ldots$ |
$[]$ |
| 90480.cc1 |
90480ca4 |
90480.cc |
90480ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{13} \cdot 3^{5} \cdot 5^{3} \cdot 13 \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1560$ |
$48$ |
$0$ |
$3.648431083$ |
$4$ |
$2$ |
$3$ |
$9953280$ |
$3.143574$ |
$8351005675201800382877041/395069604635949750$ |
$1.00404$ |
$5.75684$ |
$[0, 1, 0, -67627760, -214073842092]$ |
\(y^2=x^3+x^2-67627760x-214073842092\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.13, 156.12.0.?, $\ldots$ |
$[(-4724, 630)]$ |
| 147030.h1 |
147030cm3 |
147030.h |
147030cm |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 29 \) |
\( 2 \cdot 3^{5} \cdot 5^{3} \cdot 13^{7} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$33.96713574$ |
$1$ |
|
$0$ |
$69672960$ |
$3.732903$ |
$8351005675201800382877041/395069604635949750$ |
$1.00404$ |
$6.11630$ |
$[1, 1, 0, -714318218, 7347682133238]$ |
\(y^2+xy=x^3+x^2-714318218x+7347682133238\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[(576361033669653/49028, 13740389211295887014853/49028)]$ |
| 169650.fp1 |
169650bq4 |
169650.fp |
169650bq |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2 \cdot 3^{11} \cdot 5^{9} \cdot 13 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$79626240$ |
$3.804451$ |
$8351005675201800382877041/395069604635949750$ |
$1.00404$ |
$6.11492$ |
$[1, -1, 1, -951015380, -11287623743503]$ |
\(y^2+xy+y=x^3-x^2-951015380x-11287623743503\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 271440.cc1 |
271440cc3 |
271440.cc |
271440cc |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{13} \cdot 3^{11} \cdot 5^{3} \cdot 13 \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$3.217157939$ |
$1$ |
|
$3$ |
$79626240$ |
$3.692883$ |
$8351005675201800382877041/395069604635949750$ |
$1.00404$ |
$5.77819$ |
$[0, 0, 0, -608649843, 5779385086642]$ |
\(y^2=x^3-608649843x+5779385086642\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(11969, 457272)]$ |
| 327990.p1 |
327990p3 |
327990.p |
327990p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29^{2} \) |
\( 2 \cdot 3^{5} \cdot 5^{3} \cdot 13 \cdot 29^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$348364800$ |
$4.134079$ |
$8351005675201800382877041/395069604635949750$ |
$1.00404$ |
$6.10895$ |
$[1, 0, 1, -3554684153, 81569971645598]$ |
\(y^2+xy+y=x^3-3554684153x+81569971645598\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 232.12.0.?, 312.12.0.?, $\ldots$ |
$[]$ |
| 361920.bo1 |
361920bo4 |
361920.bo |
361920bo |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{19} \cdot 3^{5} \cdot 5^{3} \cdot 13 \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1560$ |
$48$ |
$0$ |
$19.50150059$ |
$1$ |
|
$1$ |
$79626240$ |
$3.490150$ |
$8351005675201800382877041/395069604635949750$ |
$1.00404$ |
$5.45825$ |
$[0, -1, 0, -270511041, -1712320225695]$ |
\(y^2=x^3-x^2-270511041x-1712320225695\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.bb.1.1, $\ldots$ |
$[(42961267961/568, 8833154160149011/568)]$ |
| 361920.db1 |
361920db3 |
361920.db |
361920db |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{19} \cdot 3^{5} \cdot 5^{3} \cdot 13 \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1560$ |
$48$ |
$0$ |
$4.379400012$ |
$1$ |
|
$3$ |
$79626240$ |
$3.490150$ |
$8351005675201800382877041/395069604635949750$ |
$1.00404$ |
$5.45825$ |
$[0, 1, 0, -270511041, 1712320225695]$ |
\(y^2=x^3+x^2-270511041x+1712320225695\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.9, $\ldots$ |
$[(63369, 15460944)]$ |
| 441090.ed1 |
441090ed4 |
441090.ed |
441090ed |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 29 \) |
\( 2 \cdot 3^{11} \cdot 5^{3} \cdot 13^{7} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$21.33853798$ |
$1$ |
|
$0$ |
$557383680$ |
$4.282211$ |
$8351005675201800382877041/395069604635949750$ |
$1.00404$ |
$6.10647$ |
$[1, -1, 1, -6428863967, -198393846461391]$ |
\(y^2+xy+y=x^3-x^2-6428863967x-198393846461391\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.7, 312.24.0.?, 1560.48.0.? |
$[(-1193939761153/5074, 14078047905159939/5074)]$ |
| 452400.k1 |
452400k4 |
452400.k |
452400k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{13} \cdot 3^{5} \cdot 5^{9} \cdot 13 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$238878720$ |
$3.948296$ |
$8351005675201800382877041/395069604635949750$ |
$1.00404$ |
$5.78690$ |
$[0, -1, 0, -1690694008, -26755848873488]$ |
\(y^2=x^3-x^2-1690694008x-26755848873488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.6, 312.24.0.?, $\ldots$ |
$[]$ |
