| 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 |
| 2652.e1 |
2652d1 |
2652.e |
2652d |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$5304$ |
$48$ |
$0$ |
$0.788599490$ |
$1$ |
|
$5$ |
$960$ |
$0.397324$ |
$13478411517952/304317$ |
$0.96321$ |
$4.18678$ |
$[0, 1, 0, -1249, 16580]$ |
\(y^2=x^3+x^2-1249x+16580\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[(32, 102)]$ |
| 7956.f1 |
7956d1 |
7956.f |
7956d |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.22 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.946630$ |
$13478411517952/304317$ |
$0.96321$ |
$4.40857$ |
$[0, 0, 0, -11244, -458903]$ |
\(y^2=x^3-11244x-458903\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[]$ |
| 10608.a1 |
10608m1 |
10608.a |
10608m |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.397324$ |
$13478411517952/304317$ |
$0.96321$ |
$3.56062$ |
$[0, -1, 0, -1249, -16580]$ |
\(y^2=x^3-x^2-1249x-16580\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[]$ |
| 31824.bc1 |
31824bd1 |
31824.bc |
31824bd |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.22 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$0.946630$ |
$13478411517952/304317$ |
$0.96321$ |
$3.81910$ |
$[0, 0, 0, -11244, 458903]$ |
\(y^2=x^3-11244x+458903\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[]$ |
| 34476.r1 |
34476n1 |
34476.r |
34476n |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$5304$ |
$48$ |
$0$ |
$1.072659347$ |
$1$ |
|
$7$ |
$161280$ |
$1.679798$ |
$13478411517952/304317$ |
$0.96321$ |
$4.63192$ |
$[0, 1, 0, -211137, 37270728]$ |
\(y^2=x^3+x^2-211137x+37270728\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[(267, 51)]$ |
| 42432.bc1 |
42432e1 |
42432.bc |
42432e |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{4} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$0.743897$ |
$13478411517952/304317$ |
$0.96321$ |
$3.48769$ |
$[0, -1, 0, -4997, 137637]$ |
\(y^2=x^3-x^2-4997x+137637\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[]$ |
| 42432.ce1 |
42432ci1 |
42432.ce |
42432ci |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{4} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$0.743897$ |
$13478411517952/304317$ |
$0.96321$ |
$3.48769$ |
$[0, 1, 0, -4997, -137637]$ |
\(y^2=x^3+x^2-4997x-137637\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[]$ |
| 45084.g1 |
45084c1 |
45084.g |
45084c |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$276480$ |
$1.813931$ |
$13478411517952/304317$ |
$0.96321$ |
$4.66617$ |
$[0, -1, 0, -361057, 83623702]$ |
\(y^2=x^3-x^2-361057x+83623702\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 312.24.0.?, $\ldots$ |
$[]$ |
| 66300.i1 |
66300l1 |
66300.i |
66300l |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 13 \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$26520$ |
$48$ |
$0$ |
$1.392794662$ |
$1$ |
|
$19$ |
$122880$ |
$1.202044$ |
$13478411517952/304317$ |
$0.96321$ |
$3.84269$ |
$[0, -1, 0, -31233, 2134962]$ |
\(y^2=x^3-x^2-31233x+2134962\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 120.12.0.?, $\ldots$ |
$[(77, 425), (101, 23)]$ |
| 103428.f1 |
103428w1 |
103428.f |
103428w |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.24 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1290240$ |
$2.229107$ |
$13478411517952/304317$ |
$0.96321$ |
$4.76209$ |
$[0, 0, 0, -1900236, -1008209891]$ |
\(y^2=x^3-1900236x-1008209891\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[]$ |
| 127296.s1 |
127296dt1 |
127296.s |
127296dt |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{10} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.21 |
2B |
$1768$ |
$48$ |
$0$ |
$1.222245870$ |
$1$ |
|
$5$ |
$245760$ |
$1.293203$ |
$13478411517952/304317$ |
$0.96321$ |
$3.72250$ |
$[0, 0, 0, -44976, 3671224]$ |
\(y^2=x^3-44976x+3671224\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[(126, 68)]$ |
| 127296.bd1 |
127296br1 |
127296.bd |
127296br |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{10} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.21 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$1.293203$ |
$13478411517952/304317$ |
$0.96321$ |
$3.72250$ |
$[0, 0, 0, -44976, -3671224]$ |
\(y^2=x^3-44976x-3671224\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[]$ |
| 129948.q1 |
129948t1 |
129948.q |
129948t |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{6} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$37128$ |
$48$ |
$0$ |
$12.32831545$ |
$1$ |
|
$1$ |
$345600$ |
$1.370279$ |
$13478411517952/304317$ |
$0.96321$ |
$3.79453$ |
$[0, -1, 0, -61217, -5809362]$ |
\(y^2=x^3-x^2-61217x-5809362\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 168.12.0.?, $\ldots$ |
$[(1883441/80, 642651561/80)]$ |
| 135252.g1 |
135252e1 |
135252.g |
135252e |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1768$ |
$48$ |
$0$ |
$2.516047054$ |
$1$ |
|
$3$ |
$2211840$ |
$2.363235$ |
$13478411517952/304317$ |
$0.96321$ |
$4.79020$ |
$[0, 0, 0, -3249516, -2254590439]$ |
\(y^2=x^3-3249516x-2254590439\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 104.24.0.?, $\ldots$ |
$[(11356, 1193859)]$ |
| 137904.bk1 |
137904bx1 |
137904.bk |
137904bx |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$645120$ |
$1.679798$ |
$13478411517952/304317$ |
$0.96321$ |
$4.08933$ |
$[0, -1, 0, -211137, -37270728]$ |
\(y^2=x^3-x^2-211137x-37270728\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[]$ |
| 180336.cy1 |
180336v1 |
180336.cy |
180336v |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$5304$ |
$48$ |
$0$ |
$16.23767770$ |
$1$ |
|
$1$ |
$1105920$ |
$1.813931$ |
$13478411517952/304317$ |
$0.96321$ |
$4.13168$ |
$[0, 1, 0, -361057, -83623702]$ |
\(y^2=x^3+x^2-361057x-83623702\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 312.24.0.?, $\ldots$ |
$[(1786134914/205, 75480167664438/205)]$ |
| 198900.v1 |
198900bh1 |
198900.v |
198900bh |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$8840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$983040$ |
$1.751348$ |
$13478411517952/304317$ |
$0.96321$ |
$4.03695$ |
$[0, 0, 0, -281100, -57362875]$ |
\(y^2=x^3-281100x-57362875\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 40.12.0-4.b.1.2, 52.12.0.e.1, $\ldots$ |
$[]$ |
| 265200.gj1 |
265200gj1 |
265200.gj |
265200gj |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$26520$ |
$48$ |
$0$ |
$8.774147609$ |
$1$ |
|
$1$ |
$491520$ |
$1.202044$ |
$13478411517952/304317$ |
$0.96321$ |
$3.41612$ |
$[0, 1, 0, -31233, -2134962]$ |
\(y^2=x^3+x^2-31233x-2134962\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 120.12.0.?, $\ldots$ |
$[(118537/12, 39805075/12)]$ |
| 320892.n1 |
320892n1 |
320892.n |
320892n |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 11^{6} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$58344$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1344000$ |
$1.596272$ |
$13478411517952/304317$ |
$0.96321$ |
$3.73788$ |
$[0, 1, 0, -151169, -22672608]$ |
\(y^2=x^3+x^2-151169x-22672608\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 264.12.0.?, $\ldots$ |
$[]$ |
| 389844.s1 |
389844s1 |
389844.s |
389844s |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 7^{6} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$12376$ |
$48$ |
$0$ |
$1.337279643$ |
$1$ |
|
$7$ |
$2764800$ |
$1.919586$ |
$13478411517952/304317$ |
$0.96321$ |
$3.98274$ |
$[0, 0, 0, -550956, 157403729]$ |
\(y^2=x^3-550956x+157403729\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 56.12.0-4.b.1.2, $\ldots$ |
$[(424, 153)]$ |
| 413712.bj1 |
413712bj1 |
413712.bj |
413712bj |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.24 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5160960$ |
$2.229107$ |
$13478411517952/304317$ |
$0.96321$ |
$4.25163$ |
$[0, 0, 0, -1900236, 1008209891]$ |
\(y^2=x^3-1900236x+1008209891\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[]$ |
