| 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 |
| 5915.b1 |
5915j1 |
5915.b |
5915j |
$1$ |
$1$ |
\( 5 \cdot 7 \cdot 13^{2} \) |
\( - 5 \cdot 7^{3} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30888$ |
$1.445999$ |
$-692224/1715$ |
$0.81808$ |
$4.69317$ |
$[0, 1, 1, -9520, 818484]$ |
\(y^2+y=x^3+x^2-9520x+818484\) |
70.2.0.a.1 |
$[]$ |
| 5915.j1 |
5915d1 |
5915.j |
5915d |
$1$ |
$1$ |
\( 5 \cdot 7 \cdot 13^{2} \) |
\( - 5 \cdot 7^{3} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2376$ |
$0.163525$ |
$-692224/1715$ |
$0.81808$ |
$2.92123$ |
$[0, 1, 1, -56, 355]$ |
\(y^2+y=x^3+x^2-56x+355\) |
70.2.0.a.1 |
$[]$ |
| 29575.c1 |
29575g1 |
29575.c |
29575g |
$1$ |
$1$ |
\( 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 5^{7} \cdot 7^{3} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.243833630$ |
$1$ |
|
$8$ |
$57024$ |
$0.968244$ |
$-692224/1715$ |
$0.81808$ |
$3.40256$ |
$[0, -1, 1, -1408, 47218]$ |
\(y^2+y=x^3-x^2-1408x+47218\) |
70.2.0.a.1 |
$[(22, 162)]$ |
| 29575.u1 |
29575m1 |
29575.u |
29575m |
$1$ |
$1$ |
\( 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 5^{7} \cdot 7^{3} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$741312$ |
$2.250717$ |
$-692224/1715$ |
$0.81808$ |
$4.89747$ |
$[0, -1, 1, -238008, 102786543]$ |
\(y^2+y=x^3-x^2-238008x+102786543\) |
70.2.0.a.1 |
$[]$ |
| 41405.b1 |
41405k1 |
41405.b |
41405k |
$1$ |
$1$ |
\( 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 5 \cdot 7^{9} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1482624$ |
$2.418953$ |
$-692224/1715$ |
$0.81808$ |
$4.93237$ |
$[0, -1, 1, -466496, -281673078]$ |
\(y^2+y=x^3-x^2-466496x-281673078\) |
70.2.0.a.1 |
$[]$ |
| 41405.r1 |
41405r1 |
41405.r |
41405r |
$1$ |
$1$ |
\( 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 5 \cdot 7^{9} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$2.733532327$ |
$1$ |
|
$0$ |
$114048$ |
$1.136480$ |
$-692224/1715$ |
$0.81808$ |
$3.48476$ |
$[0, -1, 1, -2760, -127359]$ |
\(y^2+y=x^3-x^2-2760x-127359\) |
70.2.0.a.1 |
$[(1977/4, 75771/4)]$ |
| 53235.c1 |
53235bo1 |
53235.c |
53235bo |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7^{3} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$71280$ |
$0.712831$ |
$-692224/1715$ |
$0.81808$ |
$2.93713$ |
$[0, 0, 1, -507, -10098]$ |
\(y^2+y=x^3-507x-10098\) |
70.2.0.a.1 |
$[]$ |
| 53235.bn1 |
53235l1 |
53235.bn |
53235l |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7^{3} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$926640$ |
$1.995306$ |
$-692224/1715$ |
$0.81808$ |
$4.35131$ |
$[0, 0, 1, -85683, -22184757]$ |
\(y^2+y=x^3-85683x-22184757\) |
70.2.0.a.1 |
$[]$ |
| 94640.o1 |
94640bu1 |
94640.o |
94640bu |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 5 \cdot 7^{3} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$95040$ |
$0.856672$ |
$-692224/1715$ |
$0.81808$ |
$2.94029$ |
$[0, -1, 0, -901, -23635]$ |
\(y^2=x^3-x^2-901x-23635\) |
70.2.0.a.1 |
$[]$ |
| 94640.bj1 |
94640db1 |
94640.bj |
94640db |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 5 \cdot 7^{3} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1235520$ |
$2.139145$ |
$-692224/1715$ |
$0.81808$ |
$4.28345$ |
$[0, -1, 0, -152325, -52535315]$ |
\(y^2=x^3-x^2-152325x-52535315\) |
70.2.0.a.1 |
$[]$ |
| 207025.j1 |
207025j1 |
207025.j |
207025j |
$1$ |
$1$ |
\( 5^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 5^{7} \cdot 7^{9} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2737152$ |
$1.941198$ |
$-692224/1715$ |
$0.81808$ |
$3.81548$ |
$[0, 1, 1, -69008, -16057856]$ |
\(y^2+y=x^3+x^2-69008x-16057856\) |
70.2.0.a.1 |
$[]$ |
| 207025.cr1 |
207025cs1 |
207025.cr |
207025cs |
$1$ |
$1$ |
\( 5^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 5^{7} \cdot 7^{9} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$35582976$ |
$3.223675$ |
$-692224/1715$ |
$0.81808$ |
$5.07274$ |
$[0, 1, 1, -11662408, -35232459531]$ |
\(y^2+y=x^3+x^2-11662408x-35232459531\) |
70.2.0.a.1 |
$[]$ |
| 266175.s1 |
266175s1 |
266175.s |
266175s |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{6} \cdot 5^{7} \cdot 7^{3} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$5.723244024$ |
$1$ |
|
$2$ |
$22239360$ |
$2.800026$ |
$-692224/1715$ |
$0.81808$ |
$4.56372$ |
$[0, 0, 1, -2142075, -2773094594]$ |
\(y^2+y=x^3-2142075x-2773094594\) |
70.2.0.a.1 |
$[(7355, 615912)]$ |
| 266175.ee1 |
266175ee1 |
266175.ee |
266175ee |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{6} \cdot 5^{7} \cdot 7^{3} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1710720$ |
$1.517550$ |
$-692224/1715$ |
$0.81808$ |
$3.33175$ |
$[0, 0, 1, -12675, -1262219]$ |
\(y^2+y=x^3-12675x-1262219\) |
70.2.0.a.1 |
$[]$ |
| 372645.b1 |
372645b1 |
372645.b |
372645b |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7^{9} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.485839692$ |
$1$ |
|
$4$ |
$3421440$ |
$1.685785$ |
$-692224/1715$ |
$0.81808$ |
$3.40173$ |
$[0, 0, 1, -24843, 3463528]$ |
\(y^2+y=x^3-24843x+3463528\) |
70.2.0.a.1 |
$[(-91, 2229)]$ |
| 372645.fn1 |
372645fn1 |
372645.fn |
372645fn |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7^{9} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$44478720$ |
$2.968262$ |
$-692224/1715$ |
$0.81808$ |
$4.60139$ |
$[0, 0, 1, -4198467, 7609371565]$ |
\(y^2+y=x^3-4198467x+7609371565\) |
70.2.0.a.1 |
$[]$ |
| 378560.cd1 |
378560cd1 |
378560.cd |
378560cd |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 5 \cdot 7^{3} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$16.13748868$ |
$1$ |
|
$0$ |
$2471040$ |
$1.792574$ |
$-692224/1715$ |
$0.81808$ |
$3.49733$ |
$[0, -1, 0, -38081, 6585955]$ |
\(y^2=x^3-x^2-38081x+6585955\) |
70.2.0.a.1 |
$[(-3764730/173, 15849196085/173)]$ |
| 378560.cz1 |
378560cz1 |
378560.cz |
378560cz |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 5 \cdot 7^{3} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.376916930$ |
$1$ |
|
$4$ |
$190080$ |
$0.510098$ |
$-692224/1715$ |
$0.81808$ |
$2.29914$ |
$[0, -1, 0, -225, 3067]$ |
\(y^2=x^3-x^2-225x+3067\) |
70.2.0.a.1 |
$[(22, 91)]$ |
| 378560.gc1 |
378560gc1 |
378560.gc |
378560gc |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 5 \cdot 7^{3} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$16.12445524$ |
$1$ |
|
$0$ |
$2471040$ |
$1.792574$ |
$-692224/1715$ |
$0.81808$ |
$3.49733$ |
$[0, 1, 0, -38081, -6585955]$ |
\(y^2=x^3+x^2-38081x-6585955\) |
70.2.0.a.1 |
$[(27277316/263, 114882514453/263)]$ |
| 378560.hc1 |
378560hc1 |
378560.hc |
378560hc |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 5 \cdot 7^{3} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$7.043907208$ |
$1$ |
|
$0$ |
$190080$ |
$0.510098$ |
$-692224/1715$ |
$0.81808$ |
$2.29914$ |
$[0, 1, 0, -225, -3067]$ |
\(y^2=x^3+x^2-225x-3067\) |
70.2.0.a.1 |
$[(5812/7, 440999/7)]$ |
| 473200.fr1 |
473200fr1 |
473200.fr |
473200fr |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 5^{7} \cdot 7^{3} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$29652480$ |
$2.943867$ |
$-692224/1715$ |
$0.81808$ |
$4.49487$ |
$[0, 1, 0, -3808133, -6574530637]$ |
\(y^2=x^3+x^2-3808133x-6574530637\) |
70.2.0.a.1 |
$[]$ |
| 473200.fs1 |
473200fs1 |
473200.fs |
473200fs |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 5^{7} \cdot 7^{3} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.824411580$ |
$1$ |
|
$2$ |
$2280960$ |
$1.661390$ |
$-692224/1715$ |
$0.81808$ |
$3.31714$ |
$[0, 1, 0, -22533, -2999437]$ |
\(y^2=x^3+x^2-22533x-2999437\) |
70.2.0.a.1 |
$[(238, 2275)]$ |
