| 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 |
| 2738.a2 |
2738b2 |
2738.a |
2738b |
$2$ |
$3$ |
\( 2 \cdot 37^{2} \) |
\( - 2^{18} \cdot 37^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.3, 9.24.0.4 |
3B.1.2 |
$1332$ |
$288$ |
$6$ |
$1.572764501$ |
$1$ |
|
$2$ |
$63936$ |
$2.133091$ |
$212207543/262144$ |
$0.98476$ |
$6.08804$ |
$[1, 0, 1, 188893, 33674718]$ |
\(y^2+xy+y=x^3+188893x+33674718\) |
3.8.0-3.a.1.1, 4.4.0-4.a.1.1, 9.24.0-9.b.1.1, 12.32.0-12.b.2.4, 36.96.0-36.b.2.2, $\ldots$ |
$[(114, 7472)]$ |
| 2738.c2 |
2738d2 |
2738.c |
2738d |
$2$ |
$3$ |
\( 2 \cdot 37^{2} \) |
\( - 2^{18} \cdot 37^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$1332$ |
$288$ |
$6$ |
$0.169511029$ |
$1$ |
|
$26$ |
$1728$ |
$0.327632$ |
$212207543/262144$ |
$0.98476$ |
$3.35076$ |
$[1, 0, 0, 138, 676]$ |
\(y^2+xy=x^3+138x+676\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0.b.2, 36.48.0.b.2, $\ldots$ |
$[(12, 58), (44, 282)]$ |
| 21904.m2 |
21904j2 |
21904.m |
21904j |
$2$ |
$3$ |
\( 2^{4} \cdot 37^{2} \) |
\( - 2^{30} \cdot 37^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$1332$ |
$288$ |
$6$ |
$1$ |
$4$ |
$2$ |
$0$ |
$41472$ |
$1.020779$ |
$212207543/262144$ |
$0.98476$ |
$3.48584$ |
$[0, -1, 0, 2208, -43264]$ |
\(y^2=x^3-x^2+2208x-43264\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0.b.2, 36.48.0.b.2, $\ldots$ |
$[ ]$ |
| 21904.n2 |
21904i2 |
21904.n |
21904i |
$2$ |
$3$ |
\( 2^{4} \cdot 37^{2} \) |
\( - 2^{30} \cdot 37^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.3, 9.12.0.2 |
3B |
$1332$ |
$288$ |
$6$ |
$1$ |
$16$ |
$2$ |
$0$ |
$1534464$ |
$2.826237$ |
$212207543/262144$ |
$0.98476$ |
$5.65360$ |
$[0, -1, 0, 3022296, -2155181968]$ |
\(y^2=x^3-x^2+3022296x-2155181968\) |
3.4.0.a.1, 4.4.0-4.a.1.1, 6.8.0-3.a.1.2, 9.12.0.b.1, 12.32.0-12.b.2.2, $\ldots$ |
$[ ]$ |
| 24642.j2 |
24642h2 |
24642.j |
24642h |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 37^{2} \) |
\( - 2^{18} \cdot 3^{6} \cdot 37^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$1332$ |
$288$ |
$6$ |
$1$ |
$1$ |
|
$0$ |
$41472$ |
$0.876938$ |
$212207543/262144$ |
$0.98476$ |
$3.27455$ |
$[1, -1, 0, 1242, -18252]$ |
\(y^2+xy=x^3-x^2+1242x-18252\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0.b.2, 36.48.0.b.2, $\ldots$ |
$[ ]$ |
| 24642.l2 |
24642t2 |
24642.l |
24642t |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 37^{2} \) |
\( - 2^{18} \cdot 3^{6} \cdot 37^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 9.24.0.2 |
3B.1.1 |
$1332$ |
$288$ |
$6$ |
$5.696020831$ |
$1$ |
|
$4$ |
$1534464$ |
$2.682396$ |
$212207543/262144$ |
$0.98476$ |
$5.41706$ |
$[1, -1, 1, 1700041, -909217393]$ |
\(y^2+xy+y=x^3-x^2+1700041x-909217393\) |
3.8.0-3.a.1.2, 4.2.0.a.1, 9.24.0-9.b.1.2, 12.32.0-12.b.2.3, 36.96.0-36.b.2.4, $\ldots$ |
$[(667, 22494)]$ |
| 68450.t2 |
68450g2 |
68450.t |
68450g |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 37^{2} \) |
\( - 2^{18} \cdot 5^{6} \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$6660$ |
$288$ |
$6$ |
$7.584859640$ |
$1$ |
|
$0$ |
$186624$ |
$1.132351$ |
$212207543/262144$ |
$0.98476$ |
$3.24935$ |
$[1, 1, 0, 3450, 84500]$ |
\(y^2+xy=x^3+x^2+3450x+84500\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0.b.2, 36.48.0.b.2, $\ldots$ |
$[(1229/4, 55145/4)]$ |
| 68450.bo2 |
68450z2 |
68450.bo |
68450z |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 37^{2} \) |
\( - 2^{18} \cdot 5^{6} \cdot 37^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$6660$ |
$288$ |
$6$ |
$1$ |
$4$ |
$2$ |
$0$ |
$6905088$ |
$2.937809$ |
$212207543/262144$ |
$0.98476$ |
$5.19527$ |
$[1, 1, 1, 4722337, 4209339781]$ |
\(y^2+xy+y=x^3+x^2+4722337x+4209339781\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0.b.2, 15.8.0-3.a.1.1, $\ldots$ |
$[ ]$ |
| 87616.g2 |
87616bp2 |
87616.g |
87616bp |
$2$ |
$3$ |
\( 2^{6} \cdot 37^{2} \) |
\( - 2^{36} \cdot 37^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.4.0.2, 9.12.0.2 |
3B |
$2664$ |
$288$ |
$6$ |
$1$ |
$4$ |
$2$ |
$0$ |
$12275712$ |
$3.172813$ |
$212207543/262144$ |
$0.98476$ |
$5.33036$ |
$[0, 1, 0, 12089183, -17229366561]$ |
\(y^2=x^3+x^2+12089183x-17229366561\) |
3.4.0.a.1, 4.2.0.a.1, 8.4.0-4.a.1.1, 9.12.0.b.1, 12.16.0.b.2, $\ldots$ |
$[ ]$ |
| 87616.k2 |
87616bn2 |
87616.k |
87616bn |
$2$ |
$3$ |
\( 2^{6} \cdot 37^{2} \) |
\( - 2^{36} \cdot 37^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$2664$ |
$288$ |
$6$ |
$1$ |
$4$ |
$2$ |
$0$ |
$331776$ |
$1.367353$ |
$212207543/262144$ |
$0.98476$ |
$3.42666$ |
$[0, 1, 0, 8831, -337281]$ |
\(y^2=x^3+x^2+8831x-337281\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0.b.2, 36.48.0.b.2, $\ldots$ |
$[ ]$ |
| 87616.bm2 |
87616l2 |
87616.bm |
87616l |
$2$ |
$3$ |
\( 2^{6} \cdot 37^{2} \) |
\( - 2^{36} \cdot 37^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.4.0.2, 9.12.0.2 |
3B |
$2664$ |
$288$ |
$6$ |
$24.97202192$ |
$1$ |
|
$0$ |
$12275712$ |
$3.172813$ |
$212207543/262144$ |
$0.98476$ |
$5.33036$ |
$[0, -1, 0, 12089183, 17229366561]$ |
\(y^2=x^3-x^2+12089183x+17229366561\) |
3.4.0.a.1, 4.2.0.a.1, 8.4.0-4.a.1.1, 9.12.0.b.1, 12.16.0.b.2, $\ldots$ |
$[(138681695995/843, 51653175815028068/843)]$ |
| 87616.bq2 |
87616k2 |
87616.bq |
87616k |
$2$ |
$3$ |
\( 2^{6} \cdot 37^{2} \) |
\( - 2^{36} \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$2664$ |
$288$ |
$6$ |
$7.272614154$ |
$1$ |
|
$0$ |
$331776$ |
$1.367353$ |
$212207543/262144$ |
$0.98476$ |
$3.42666$ |
$[0, -1, 0, 8831, 337281]$ |
\(y^2=x^3-x^2+8831x+337281\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0.b.2, 36.48.0.b.2, $\ldots$ |
$[(-309/5, 59436/5)]$ |
| 134162.b2 |
134162e2 |
134162.b |
134162e |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 37^{2} \) |
\( - 2^{18} \cdot 7^{6} \cdot 37^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$9324$ |
$288$ |
$6$ |
$14.17996036$ |
$1$ |
|
$4$ |
$18413568$ |
$3.106045$ |
$212207543/262144$ |
$0.98476$ |
$5.07014$ |
$[1, 1, 0, 9255781, -11541172579]$ |
\(y^2+xy=x^3+x^2+9255781x-11541172579\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0.b.2, 21.8.0-3.a.1.2, $\ldots$ |
$[(1939, 116080), (8518, 823645)]$ |
| 134162.e2 |
134162c2 |
134162.e |
134162c |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 37^{2} \) |
\( - 2^{18} \cdot 7^{6} \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$9324$ |
$288$ |
$6$ |
$1.594484769$ |
$1$ |
|
$2$ |
$497664$ |
$1.300587$ |
$212207543/262144$ |
$0.98476$ |
$3.23514$ |
$[1, 1, 1, 6761, -225107]$ |
\(y^2+xy+y=x^3+x^2+6761x-225107\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0.b.2, 36.48.0.b.2, $\ldots$ |
$[(43, 362)]$ |
| 197136.h2 |
197136c2 |
197136.h |
197136c |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 37^{2} \) |
\( - 2^{30} \cdot 3^{6} \cdot 37^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$1332$ |
$288$ |
$6$ |
$8.202996535$ |
$1$ |
|
$2$ |
$36827136$ |
$3.375546$ |
$212207543/262144$ |
$0.98476$ |
$5.17536$ |
$[0, 0, 0, 27200661, 58162712474]$ |
\(y^2=x^3+27200661x+58162712474\) |
3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.1, 9.12.0.b.1, 12.32.0-12.b.2.1, $\ldots$ |
$[(1727, 332098)]$ |
| 197136.ck2 |
197136ba2 |
197136.ck |
197136ba |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 37^{2} \) |
\( - 2^{30} \cdot 3^{6} \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$1332$ |
$288$ |
$6$ |
$8.120556126$ |
$1$ |
|
$0$ |
$995328$ |
$1.570086$ |
$212207543/262144$ |
$0.98476$ |
$3.39828$ |
$[0, 0, 0, 19869, 1148258]$ |
\(y^2=x^3+19869x+1148258\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0.b.2, 36.48.0.b.2, $\ldots$ |
$[(3839/5, 349562/5)]$ |
| 331298.a2 |
331298a2 |
331298.a |
331298a |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 37^{2} \) |
\( - 2^{18} \cdot 11^{6} \cdot 37^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$14652$ |
$288$ |
$6$ |
$1$ |
$1$ |
|
$0$ |
$1866240$ |
$1.526579$ |
$212207543/262144$ |
$0.98476$ |
$3.21842$ |
$[1, 0, 1, 16695, -883060]$ |
\(y^2+xy+y=x^3+16695x-883060\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0.b.2, 36.48.0.b.2, $\ldots$ |
$[ ]$ |
| 331298.p2 |
331298p2 |
331298.p |
331298p |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 37^{2} \) |
\( - 2^{18} \cdot 11^{6} \cdot 37^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$14652$ |
$288$ |
$6$ |
$2.697352739$ |
$1$ |
|
$2$ |
$69050880$ |
$3.332039$ |
$212207543/262144$ |
$0.98476$ |
$4.92292$ |
$[1, 0, 0, 22856111, -44798193879]$ |
\(y^2+xy=x^3+22856111x-44798193879\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0.b.2, 33.8.0-3.a.1.1, $\ldots$ |
$[(32970, 6029019)]$ |
| 462722.a2 |
462722a2 |
462722.a |
462722a |
$2$ |
$3$ |
\( 2 \cdot 13^{2} \cdot 37^{2} \) |
\( - 2^{18} \cdot 13^{6} \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$17316$ |
$288$ |
$6$ |
$3.000883573$ |
$1$ |
|
$0$ |
$3981312$ |
$1.610107$ |
$212207543/262144$ |
$0.98476$ |
$3.21282$ |
$[1, 0, 1, 23318, 1461852]$ |
\(y^2+xy+y=x^3+23318x+1461852\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0.b.2, 36.48.0.b.2, $\ldots$ |
$[(2261/5, 253869/5)]$ |
| 462722.j2 |
462722j2 |
462722.j |
462722j |
$2$ |
$3$ |
\( 2 \cdot 13^{2} \cdot 37^{2} \) |
\( - 2^{18} \cdot 13^{6} \cdot 37^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$17316$ |
$288$ |
$6$ |
$1$ |
$1$ |
|
$0$ |
$147308544$ |
$3.415565$ |
$212207543/262144$ |
$0.98476$ |
$4.87367$ |
$[1, 0, 0, 31922998, 73951432996]$ |
\(y^2+xy=x^3+31922998x+73951432996\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0.b.2, 36.48.0.b.2, $\ldots$ |
$[ ]$ |
