| 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 |
| 4290.b4 |
4290b1 |
4290.b |
4290b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{44} \cdot 3 \cdot 5^{2} \cdot 11^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$168960$ |
$2.621063$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$6.54447$ |
$[1, 1, 0, -1749568, 325439488]$ |
\(y^2+xy=x^3+x^2-1749568x+325439488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$ |
$[ ]$ |
| 12870.bx4 |
12870by1 |
12870.bx |
12870by |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{44} \cdot 3^{7} \cdot 5^{2} \cdot 11^{3} \cdot 13^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1351680$ |
$3.170368$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$6.48126$ |
$[1, -1, 1, -15746117, -8802612291]$ |
\(y^2+xy+y=x^3-x^2-15746117x-8802612291\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.4, 66.6.0.a.1, 88.24.0.?, $\ldots$ |
$[ ]$ |
| 21450.cr4 |
21450cq1 |
21450.cr |
21450cq |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{44} \cdot 3 \cdot 5^{8} \cdot 11^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.081576794$ |
$1$ |
|
$3$ |
$4055040$ |
$3.425781$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$6.45661$ |
$[1, 0, 0, -43739213, 40767414417]$ |
\(y^2+xy=x^3-43739213x+40767414417\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.4, 60.12.0-4.c.1.2, $\ldots$ |
$[(7362, 339519)]$ |
| 34320.bl4 |
34320br1 |
34320.bl |
34320br |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{56} \cdot 3 \cdot 5^{2} \cdot 11^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$23.96589271$ |
$1$ |
|
$1$ |
$4055040$ |
$3.314209$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$6.03783$ |
$[0, 1, 0, -27993096, -20884113420]$ |
\(y^2=x^3+x^2-27993096x-20884113420\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.bb.1.10, $\ldots$ |
$[(-228246754388/8259, 105889961650995730/8259)]$ |
| 47190.bs4 |
47190bs1 |
47190.bs |
47190bs |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{44} \cdot 3 \cdot 5^{2} \cdot 11^{9} \cdot 13^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$20275200$ |
$3.820011$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$6.42316$ |
$[1, 1, 1, -211697791, -434218447387]$ |
\(y^2+xy+y=x^3+x^2-211697791x-434218447387\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.13, 66.6.0.a.1, 88.24.0.?, $\ldots$ |
$[ ]$ |
| 55770.ci4 |
55770cd1 |
55770.ci |
55770cd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{44} \cdot 3 \cdot 5^{2} \cdot 11^{3} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$4.843687389$ |
$1$ |
|
$5$ |
$28385280$ |
$3.903538$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$6.41669$ |
$[1, 1, 1, -295677080, 716468940377]$ |
\(y^2+xy+y=x^3+x^2-295677080x+716468940377\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 66.6.0.a.1, 88.12.0.?, $\ldots$ |
$[(-18043, 430781)]$ |
| 64350.bi4 |
64350be1 |
64350.bi |
64350be |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{44} \cdot 3^{7} \cdot 5^{8} \cdot 11^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$32.37610926$ |
$1$ |
|
$1$ |
$32440320$ |
$3.975090$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$6.41130$ |
$[1, -1, 0, -393652917, -1100720189259]$ |
\(y^2+xy=x^3-x^2-393652917x-1100720189259\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.bb.1, 66.6.0.a.1, $\ldots$ |
$[(6171149001859011/70043, 484508149576038250382376/70043)]$ |
| 102960.dk4 |
102960el1 |
102960.dk |
102960el |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{56} \cdot 3^{7} \cdot 5^{2} \cdot 11^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$6.533556743$ |
$1$ |
|
$3$ |
$32440320$ |
$3.863518$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$6.03423$ |
$[0, 0, 0, -251937867, 563619124474]$ |
\(y^2=x^3-251937867x+563619124474\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.12, 66.6.0.a.1, 88.24.0.?, $\ldots$ |
$[(-12922, 1288980)]$ |
| 137280.cz4 |
137280ch1 |
137280.cz |
137280ch |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{62} \cdot 3 \cdot 5^{2} \cdot 11^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$12.21383928$ |
$1$ |
|
$1$ |
$32440320$ |
$3.660786$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$5.68184$ |
$[0, -1, 0, -111972385, -166960934975]$ |
\(y^2=x^3-x^2-111972385x-166960934975\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.6, 66.6.0.a.1, $\ldots$ |
$[(7695585/8, 21264315215/8)]$ |
| 137280.gn4 |
137280el1 |
137280.gn |
137280el |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{62} \cdot 3 \cdot 5^{2} \cdot 11^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$32440320$ |
$3.660786$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$5.68184$ |
$[0, 1, 0, -111972385, 166960934975]$ |
\(y^2=x^3+x^2-111972385x+166960934975\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.14, 66.6.0.a.1, $\ldots$ |
$[ ]$ |
| 141570.ce4 |
141570dc1 |
141570.ce |
141570dc |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{44} \cdot 3^{7} \cdot 5^{2} \cdot 11^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$264$ |
$48$ |
$0$ |
$14.92388443$ |
$1$ |
|
$1$ |
$162201600$ |
$4.369316$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$6.38396$ |
$[1, -1, 0, -1905280119, 11721992799325]$ |
\(y^2+xy=x^3-x^2-1905280119x+11721992799325\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.15, $\ldots$ |
$[(-17838025/23, 74837398270/23)]$ |
| 167310.q4 |
167310eh1 |
167310.q |
167310eh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{44} \cdot 3^{7} \cdot 5^{2} \cdot 11^{3} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$7.817187816$ |
$1$ |
|
$3$ |
$227082240$ |
$4.452843$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$6.37863$ |
$[1, -1, 0, -2661093720, -19347322483904]$ |
\(y^2+xy=x^3-x^2-2661093720x-19347322483904\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 52.12.0-4.c.1.2, 66.6.0.a.1, $\ldots$ |
$[(83123, 18228146)]$ |
| 171600.cg4 |
171600ei1 |
171600.cg |
171600ei |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{56} \cdot 3 \cdot 5^{8} \cdot 11^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$39.93314680$ |
$1$ |
|
$1$ |
$97320960$ |
$4.118927$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$6.03278$ |
$[0, -1, 0, -699827408, -2609114522688]$ |
\(y^2=x^3-x^2-699827408x-2609114522688\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.4, 60.12.0-4.c.1.1, $\ldots$ |
$[(3728532869378431633/4249177, 7139163233527843105916867500/4249177)]$ |
| 210210.ck4 |
210210de1 |
210210.ck |
210210de |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{44} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 11^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$64880640$ |
$3.594017$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$5.41893$ |
$[1, 0, 1, -85728858, -111882930932]$ |
\(y^2+xy+y=x^3-85728858x-111882930932\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.4, 66.6.0.a.1, $\ldots$ |
$[ ]$ |
| 235950.di4 |
235950di1 |
235950.di |
235950di |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{44} \cdot 3 \cdot 5^{8} \cdot 11^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$51.18208068$ |
$1$ |
|
$1$ |
$486604800$ |
$4.624733$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$6.36811$ |
$[1, 0, 1, -5292444776, -54266721033802]$ |
\(y^2+xy+y=x^3-5292444776x-54266721033802\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.bb.1, 66.6.0.a.1, $\ldots$ |
$[(-2835357818504874779345266/6758777573, 1839009354517656913315806892855998414/6758777573)]$ |
| 278850.db4 |
278850db1 |
278850.db |
278850db |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{44} \cdot 3 \cdot 5^{8} \cdot 11^{3} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$64$ |
$2$ |
$1$ |
$681246720$ |
$4.708260$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$6.36320$ |
$[1, 0, 1, -7391927001, 89573401401148]$ |
\(y^2+xy+y=x^3-7391927001x+89573401401148\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 66.6.0.a.1, 88.12.0.?, $\ldots$ |
$[ ]$ |
| 377520.ex4 |
377520ex1 |
377520.ex |
377520ex |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{56} \cdot 3 \cdot 5^{2} \cdot 11^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$49.84525470$ |
$1$ |
|
$1$ |
$486604800$ |
$4.513161$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$6.03077$ |
$[0, 1, 0, -3387164656, 27783206303444]$ |
\(y^2=x^3+x^2-3387164656x+27783206303444\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.5, 66.6.0.a.1, 88.24.0.?, $\ldots$ |
$[(-3310765999339227940535/485142504, 973226352776150434031049345114853/485142504)]$ |
| 411840.dd4 |
411840dd1 |
411840.dd |
411840dd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{62} \cdot 3^{7} \cdot 5^{2} \cdot 11^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$259522560$ |
$4.210091$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$5.70888$ |
$[0, 0, 0, -1007751468, 4508952995792]$ |
\(y^2=x^3-1007751468x+4508952995792\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.bb.1.8, 66.6.0.a.1, $\ldots$ |
$[ ]$ |
| 411840.dr4 |
411840dr1 |
411840.dr |
411840dr |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{62} \cdot 3^{7} \cdot 5^{2} \cdot 11^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$259522560$ |
$4.210091$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$5.70888$ |
$[0, 0, 0, -1007751468, -4508952995792]$ |
\(y^2=x^3-1007751468x-4508952995792\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 66.6.0.a.1, $\ldots$ |
$[ ]$ |
| 446160.ii4 |
446160ii1 |
446160.ii |
446160ii |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{56} \cdot 3 \cdot 5^{2} \cdot 11^{3} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$59.70811051$ |
$1$ |
|
$1$ |
$681246720$ |
$4.596687$ |
$592265697637387401314569/296787655248366796800$ |
$1.03329$ |
$6.03037$ |
$[0, 1, 0, -4730833280, -45863473850700]$ |
\(y^2=x^3+x^2-4730833280x-45863473850700\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 66.6.0.a.1, 88.12.0.?, $\ldots$ |
$[(11735793777387110916979399515/123201126863, 1266257488597505665747092591538745220752580/123201126863)]$ |
