| 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 |
| 3927.c2 |
3927d2 |
3927.c |
3927d |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 17 \) |
\( 3^{10} \cdot 7^{8} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$1.419526164$ |
$1$ |
|
$8$ |
$23040$ |
$1.848135$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$5.68636$ |
$[1, 1, 1, -135247, 18354236]$ |
\(y^2+xy+y=x^3+x^2-135247x+18354236\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.a.1.2, 132.24.0.?, 2244.48.0.? |
$[(2, 4251)]$ |
| 11781.d2 |
11781h2 |
11781.d |
11781h |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 17 \) |
\( 3^{16} \cdot 7^{8} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$184320$ |
$2.397442$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$5.72311$ |
$[1, -1, 0, -1217223, -496781600]$ |
\(y^2+xy=x^3-x^2-1217223x-496781600\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 68.12.0.a.1, 132.24.0.?, $\ldots$ |
$[]$ |
| 27489.h2 |
27489r2 |
27489.h |
27489r |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 3^{10} \cdot 7^{14} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$15708$ |
$48$ |
$0$ |
$3.532637466$ |
$1$ |
|
$8$ |
$1105920$ |
$2.821091$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$5.74606$ |
$[1, 0, 0, -6627104, -6315384321]$ |
\(y^2+xy=x^3-6627104x-6315384321\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 68.12.0.a.1, 132.12.0.?, 476.24.0.?, $\ldots$ |
$[(-1259, 6367)]$ |
| 43197.l2 |
43197c2 |
43197.l |
43197c |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( 3^{10} \cdot 7^{8} \cdot 11^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$2$ |
$2764800$ |
$3.047085$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$5.75682$ |
$[1, 1, 0, -16364889, -24511312800]$ |
\(y^2+xy=x^3+x^2-16364889x-24511312800\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 68.12.0.a.1, 132.24.0.?, $\ldots$ |
$[]$ |
| 62832.bx2 |
62832bq2 |
62832.bx |
62832bq |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3^{10} \cdot 7^{8} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$3.590516114$ |
$1$ |
|
$7$ |
$1474560$ |
$2.541283$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$5.01221$ |
$[0, 1, 0, -2163952, -1178999020]$ |
\(y^2=x^3+x^2-2163952x-1178999020\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.a.1.1, 132.24.0.?, 2244.48.0.? |
$[(-910, 6120)]$ |
| 66759.b2 |
66759h2 |
66759.b |
66759h |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{10} \cdot 7^{8} \cdot 11^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$3.385382982$ |
$1$ |
|
$6$ |
$6635520$ |
$3.264744$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$5.76635$ |
$[1, 0, 0, -39086389, 90447967064]$ |
\(y^2+xy=x^3-39086389x+90447967064\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.a.1.1, 132.24.0.?, 2244.48.0.? |
$[(-1336, 375212)]$ |
| 82467.be2 |
82467bd2 |
82467.be |
82467bd |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 3^{16} \cdot 7^{14} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$15708$ |
$48$ |
$0$ |
$26.38853381$ |
$1$ |
|
$2$ |
$8847360$ |
$3.370396$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$5.77071$ |
$[1, -1, 0, -59643936, 170515376667]$ |
\(y^2+xy=x^3-x^2-59643936x+170515376667\) |
2.6.0.a.1, 68.12.0.a.1, 84.12.0.?, 132.12.0.?, 308.12.0.?, $\ldots$ |
$[(843495193039/15958, 384953896257756869/15958)]$ |
| 98175.bg2 |
98175t2 |
98175.bg |
98175t |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 17 \) |
\( 3^{10} \cdot 5^{6} \cdot 7^{8} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$11220$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2949120$ |
$2.652855$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$4.93408$ |
$[1, 0, 1, -3381176, 2301041873]$ |
\(y^2+xy+y=x^3-3381176x+2301041873\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 68.12.0.a.1, 132.12.0.?, 340.24.0.?, $\ldots$ |
$[]$ |
| 129591.d2 |
129591p2 |
129591.d |
129591p |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( 3^{16} \cdot 7^{8} \cdot 11^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$22118400$ |
$3.596390$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$5.77951$ |
$[1, -1, 1, -147284006, 661658161596]$ |
\(y^2+xy+y=x^3-x^2-147284006x+661658161596\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.a.1.3, 132.24.0.?, 2244.48.0.? |
$[]$ |
| 188496.n2 |
188496l2 |
188496.n |
188496l |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3^{16} \cdot 7^{8} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$4.132495325$ |
$1$ |
|
$9$ |
$11796480$ |
$3.090588$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$5.10155$ |
$[0, 0, 0, -19475571, 31813497970]$ |
\(y^2=x^3-19475571x+31813497970\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 68.12.0.a.1, 132.24.0.?, $\ldots$ |
$[(3353, 64872)]$ |
| 200277.bb2 |
200277z2 |
200277.bb |
200277z |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{16} \cdot 7^{8} \cdot 11^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$1$ |
$25$ |
$5$ |
$2$ |
$53084160$ |
$3.814049$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$5.78738$ |
$[1, -1, 0, -351777501, -2442095110728]$ |
\(y^2+xy=x^3-x^2-351777501x-2442095110728\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.2, 68.12.0.a.1, 132.24.0.?, $\ldots$ |
$[]$ |
| 251328.g2 |
251328g2 |
251328.g |
251328g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{10} \cdot 7^{8} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$13.76591235$ |
$1$ |
|
$3$ |
$11796480$ |
$2.887856$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$4.78787$ |
$[0, -1, 0, -8655809, -9423336351]$ |
\(y^2=x^3-x^2-8655809x-9423336351\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 68.12.0.a.1, 132.12.0.?, 136.24.0.?, $\ldots$ |
$[(-8549763/67, 3682897920/67)]$ |
| 251328.dl2 |
251328dl2 |
251328.dl |
251328dl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{10} \cdot 7^{8} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$0.805324475$ |
$1$ |
|
$15$ |
$11796480$ |
$2.887856$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$4.78787$ |
$[0, 1, 0, -8655809, 9423336351]$ |
\(y^2=x^3+x^2-8655809x+9423336351\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 68.12.0.a.1, 132.12.0.?, 136.24.0.?, $\ldots$ |
$[(586, 67473)]$ |
| 294525.x2 |
294525x2 |
294525.x |
294525x |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 17 \) |
\( 3^{16} \cdot 5^{6} \cdot 7^{8} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$11220$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$23592960$ |
$3.202160$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$5.02707$ |
$[1, -1, 1, -30430580, -62128130578]$ |
\(y^2+xy+y=x^3-x^2-30430580x-62128130578\) |
2.6.0.a.1, 60.12.0-2.a.1.1, 68.12.0.a.1, 132.12.0.?, 220.12.0.?, $\ldots$ |
$[]$ |
| 302379.br2 |
302379br2 |
302379.br |
302379br |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 17 \) |
\( 3^{10} \cdot 7^{14} \cdot 11^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$15708$ |
$48$ |
$0$ |
$8.169638711$ |
$1$ |
|
$2$ |
$132710400$ |
$4.020035$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$5.79432$ |
$[1, 0, 1, -801879587, 8404974651665]$ |
\(y^2+xy+y=x^3-801879587x+8404974651665\) |
2.6.0.a.1, 68.12.0.a.1, 84.12.0.?, 132.12.0.?, 308.12.0.?, $\ldots$ |
$[(31371/2, 12864383/2)]$ |
| 439824.x2 |
439824x2 |
439824.x |
439824x |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3^{10} \cdot 7^{14} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$15708$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$70778880$ |
$3.514236$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$5.16013$ |
$[0, -1, 0, -106033664, 404184596544]$ |
\(y^2=x^3-x^2-106033664x+404184596544\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 68.12.0.a.1, 132.12.0.?, 476.24.0.?, $\ldots$ |
$[]$ |
| 467313.l2 |
467313l2 |
467313.l |
467313l |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 17^{2} \) |
\( 3^{10} \cdot 7^{14} \cdot 11^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$15708$ |
$48$ |
$0$ |
$54.59783030$ |
$1$ |
|
$2$ |
$318504960$ |
$4.237701$ |
$273594167224805799793/11903648120953281$ |
$0.97743$ |
$5.80118$ |
$[1, 1, 1, -1915233062, -31025567936014]$ |
\(y^2+xy+y=x^3+x^2-1915233062x-31025567936014\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 68.12.0.a.1, 132.12.0.?, 476.24.0.?, $\ldots$ |
$[(564634471925263732229917328/28832809681, 13380191775540990698130658048956643580558/28832809681)]$ |
