| 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 |
| 15834.v2 |
15834s1 |
15834.v |
15834s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29 \) |
\( - 2^{20} \cdot 3^{5} \cdot 7^{2} \cdot 13^{2} \cdot 29^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$31668$ |
$12$ |
$0$ |
$0.156640444$ |
$1$ |
|
$13$ |
$172800$ |
$1.896004$ |
$87267418871946300287/51461562131546112$ |
$0.99963$ |
$4.74828$ |
$[1, 0, 0, 92408, -1482688]$ |
\(y^2+xy=x^3+92408x-1482688\) |
2.3.0.a.1, 174.6.0.?, 364.6.0.?, 31668.12.0.? |
$[(68, 2228)]$ |
| 47502.f2 |
47502o1 |
47502.f |
47502o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 29 \) |
\( - 2^{20} \cdot 3^{11} \cdot 7^{2} \cdot 13^{2} \cdot 29^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$31668$ |
$12$ |
$0$ |
$4.493808214$ |
$1$ |
|
$5$ |
$1382400$ |
$2.445309$ |
$87267418871946300287/51461562131546112$ |
$0.99963$ |
$4.87599$ |
$[1, -1, 0, 831672, 40032576]$ |
\(y^2+xy=x^3-x^2+831672x+40032576\) |
2.3.0.a.1, 174.6.0.?, 364.6.0.?, 31668.12.0.? |
$[(69, 9852)]$ |
| 110838.bk2 |
110838bz1 |
110838.bk |
110838bz |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 29 \) |
\( - 2^{20} \cdot 3^{5} \cdot 7^{8} \cdot 13^{2} \cdot 29^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$31668$ |
$12$ |
$0$ |
$0.658282698$ |
$1$ |
|
$9$ |
$8294400$ |
$2.868958$ |
$87267418871946300287/51461562131546112$ |
$0.99963$ |
$4.95798$ |
$[1, 1, 1, 4527991, 513089975]$ |
\(y^2+xy+y=x^3+x^2+4527991x+513089975\) |
2.3.0.a.1, 174.6.0.?, 364.6.0.?, 31668.12.0.? |
$[(335, 45304)]$ |
| 126672.bd2 |
126672z1 |
126672.bd |
126672z |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 29 \) |
\( - 2^{32} \cdot 3^{5} \cdot 7^{2} \cdot 13^{2} \cdot 29^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$31668$ |
$12$ |
$0$ |
$5.062448171$ |
$1$ |
|
$1$ |
$4147200$ |
$2.589149$ |
$87267418871946300287/51461562131546112$ |
$0.99963$ |
$4.61585$ |
$[0, -1, 0, 1478528, 94892032]$ |
\(y^2=x^3-x^2+1478528x+94892032\) |
2.3.0.a.1, 174.6.0.?, 364.6.0.?, 31668.12.0.? |
$[(797/2, 159471/2)]$ |
| 205842.t2 |
205842bm1 |
205842.t |
205842bm |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( - 2^{20} \cdot 3^{5} \cdot 7^{2} \cdot 13^{8} \cdot 29^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$31668$ |
$12$ |
$0$ |
$1.394565062$ |
$1$ |
|
$7$ |
$29030400$ |
$3.178478$ |
$87267418871946300287/51461562131546112$ |
$0.99963$ |
$5.01070$ |
$[1, 0, 1, 15616948, -3273082486]$ |
\(y^2+xy+y=x^3+15616948x-3273082486\) |
2.3.0.a.1, 174.6.0.?, 364.6.0.?, 31668.12.0.? |
$[(1233, 133015)]$ |
| 332514.by2 |
332514by1 |
332514.by |
332514by |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 29 \) |
\( - 2^{20} \cdot 3^{11} \cdot 7^{8} \cdot 13^{2} \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$31668$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$66355200$ |
$3.418266$ |
$87267418871946300287/51461562131546112$ |
$0.99963$ |
$5.04801$ |
$[1, -1, 0, 40751919, -13812677411]$ |
\(y^2+xy=x^3-x^2+40751919x-13812677411\) |
2.3.0.a.1, 174.6.0.?, 364.6.0.?, 31668.12.0.? |
$[ ]$ |
| 380016.q2 |
380016q1 |
380016.q |
380016q |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 29 \) |
\( - 2^{32} \cdot 3^{11} \cdot 7^{2} \cdot 13^{2} \cdot 29^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$31668$ |
$12$ |
$0$ |
$8.952539368$ |
$1$ |
|
$1$ |
$33177600$ |
$3.138458$ |
$87267418871946300287/51461562131546112$ |
$0.99963$ |
$4.73421$ |
$[0, 0, 0, 13306749, -2575391614]$ |
\(y^2=x^3+13306749x-2575391614\) |
2.3.0.a.1, 174.6.0.?, 364.6.0.?, 31668.12.0.? |
$[(18569/2, 3192397/2)]$ |
| 395850.g2 |
395850g1 |
395850.g |
395850g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 29 \) |
\( - 2^{20} \cdot 3^{5} \cdot 5^{6} \cdot 7^{2} \cdot 13^{2} \cdot 29^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$31668$ |
$12$ |
$0$ |
$4.231511699$ |
$1$ |
|
$5$ |
$22118400$ |
$2.700722$ |
$87267418871946300287/51461562131546112$ |
$0.99963$ |
$4.31166$ |
$[1, 1, 0, 2310200, -185336000]$ |
\(y^2+xy=x^3+x^2+2310200x-185336000\) |
2.3.0.a.1, 174.6.0.?, 364.6.0.?, 31668.12.0.? |
$[(1104, 60376)]$ |
| 459186.s2 |
459186s1 |
459186.s |
459186s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{20} \cdot 3^{5} \cdot 7^{2} \cdot 13^{2} \cdot 29^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$31668$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$145152000$ |
$3.579651$ |
$87267418871946300287/51461562131546112$ |
$0.99963$ |
$5.07158$ |
$[1, 1, 0, 77715111, -36316707867]$ |
\(y^2+xy=x^3+x^2+77715111x-36316707867\) |
2.3.0.a.1, 174.6.0.?, 364.6.0.?, 31668.12.0.? |
$[ ]$ |
