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 |
9867.d2 |
9867e1 |
9867.d |
9867e |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13 \cdot 23 \) |
\( 3^{2} \cdot 11^{3} \cdot 13 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$7104$ |
$0.724183$ |
$63052870949070913/3581721$ |
$0.91827$ |
$4.20604$ |
$[1, 1, 1, -8292, -294084]$ |
\(y^2+xy+y=x^3+x^2-8292x-294084\) |
2.3.0.a.1, 12.6.0.b.1, 6578.6.0.?, 39468.12.0.? |
$[]$ |
29601.h2 |
29601k1 |
29601.h |
29601k |
$2$ |
$2$ |
\( 3^{2} \cdot 11 \cdot 13 \cdot 23 \) |
\( 3^{8} \cdot 11^{3} \cdot 13 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$1.401463595$ |
$1$ |
|
$5$ |
$56832$ |
$1.273489$ |
$63052870949070913/3581721$ |
$0.91827$ |
$4.39747$ |
$[1, -1, 0, -74628, 7865635]$ |
\(y^2+xy=x^3-x^2-74628x+7865635\) |
2.3.0.a.1, 12.6.0.b.1, 6578.6.0.?, 39468.12.0.? |
$[(162, 7)]$ |
108537.o2 |
108537b1 |
108537.o |
108537b |
$2$ |
$2$ |
\( 3 \cdot 11^{2} \cdot 13 \cdot 23 \) |
\( 3^{2} \cdot 11^{9} \cdot 13 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$852480$ |
$1.923130$ |
$63052870949070913/3581721$ |
$0.91827$ |
$4.57704$ |
$[1, 1, 0, -1003334, 386408895]$ |
\(y^2+xy=x^3+x^2-1003334x+386408895\) |
2.3.0.a.1, 12.6.0.b.1, 6578.6.0.?, 39468.12.0.? |
$[]$ |
128271.k2 |
128271g1 |
128271.k |
128271g |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 3^{2} \cdot 11^{3} \cdot 13^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1193472$ |
$2.006657$ |
$63052870949070913/3581721$ |
$0.91827$ |
$4.59725$ |
$[1, 1, 0, -1401351, -639095400]$ |
\(y^2+xy=x^3+x^2-1401351x-639095400\) |
2.3.0.a.1, 12.6.0.b.1, 6578.6.0.?, 39468.12.0.? |
$[]$ |
157872.ct2 |
157872w1 |
157872.ct |
157872w |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 23 \) |
\( 2^{12} \cdot 3^{2} \cdot 11^{3} \cdot 13 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$454656$ |
$1.417330$ |
$63052870949070913/3581721$ |
$0.91827$ |
$3.92668$ |
$[0, 1, 0, -132672, 18556020]$ |
\(y^2=x^3+x^2-132672x+18556020\) |
2.3.0.a.1, 12.6.0.b.1, 6578.6.0.?, 39468.12.0.? |
$[]$ |
226941.c2 |
226941e1 |
226941.c |
226941e |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13 \cdot 23^{2} \) |
\( 3^{2} \cdot 11^{3} \cdot 13 \cdot 23^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$2.897453165$ |
$1$ |
|
$13$ |
$3750912$ |
$2.291931$ |
$63052870949070913/3581721$ |
$0.91827$ |
$4.66215$ |
$[1, 1, 1, -4386479, 3534253076]$ |
\(y^2+xy+y=x^3+x^2-4386479x+3534253076\) |
2.3.0.a.1, 12.6.0.b.1, 6578.6.0.?, 39468.12.0.? |
$[(1577, 22487), (59816/7, 37780/7)]$ |
246675.bl2 |
246675bl1 |
246675.bl |
246675bl |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 11 \cdot 13 \cdot 23 \) |
\( 3^{2} \cdot 5^{6} \cdot 11^{3} \cdot 13 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$25.72844786$ |
$1$ |
|
$1$ |
$909312$ |
$1.528902$ |
$63052870949070913/3581721$ |
$0.91827$ |
$3.89337$ |
$[1, 0, 1, -207301, -36345877]$ |
\(y^2+xy+y=x^3-207301x-36345877\) |
2.3.0.a.1, 12.6.0.b.1, 6578.6.0.?, 39468.12.0.? |
$[(861389498647/40466, 14994757573389301/40466)]$ |
325611.d2 |
325611d1 |
325611.d |
325611d |
$2$ |
$2$ |
\( 3^{2} \cdot 11^{2} \cdot 13 \cdot 23 \) |
\( 3^{8} \cdot 11^{9} \cdot 13 \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$51.01679531$ |
$1$ |
|
$5$ |
$6819840$ |
$2.472435$ |
$63052870949070913/3581721$ |
$0.91827$ |
$4.70020$ |
$[1, -1, 1, -9030011, -10442070174]$ |
\(y^2+xy+y=x^3-x^2-9030011x-10442070174\) |
2.3.0.a.1, 12.6.0.b.1, 6578.6.0.?, 39468.12.0.? |
$[(5177, 282963), (12906, 1415720)]$ |
384813.i2 |
384813i1 |
384813.i |
384813i |
$2$ |
$2$ |
\( 3^{2} \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 3^{8} \cdot 11^{3} \cdot 13^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$9.190411300$ |
$1$ |
|
$3$ |
$9547776$ |
$2.555965$ |
$63052870949070913/3581721$ |
$0.91827$ |
$4.71708$ |
$[1, -1, 1, -12612164, 17242963638]$ |
\(y^2+xy+y=x^3-x^2-12612164x+17242963638\) |
2.3.0.a.1, 12.6.0.b.1, 6578.6.0.?, 39468.12.0.? |
$[(51974, 11795895)]$ |
473616.y2 |
473616y1 |
473616.y |
473616y |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 23 \) |
\( 2^{12} \cdot 3^{8} \cdot 11^{3} \cdot 13 \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$26.85614384$ |
$1$ |
|
$5$ |
$3637248$ |
$1.966637$ |
$63052870949070913/3581721$ |
$0.91827$ |
$4.10098$ |
$[0, 0, 0, -1194051, -502206590]$ |
\(y^2=x^3-1194051x-502206590\) |
2.3.0.a.1, 12.6.0.b.1, 6578.6.0.?, 39468.12.0.? |
$[(3257, 173664), (1721, 50400)]$ |
483483.q2 |
483483q1 |
483483.q |
483483q |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13 \cdot 23 \) |
\( 3^{2} \cdot 7^{6} \cdot 11^{3} \cdot 13 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$6.399555491$ |
$1$ |
|
$1$ |
$2557440$ |
$1.697138$ |
$63052870949070913/3581721$ |
$0.91827$ |
$3.84744$ |
$[1, 0, 0, -406309, 99651824]$ |
\(y^2+xy=x^3-406309x+99651824\) |
2.3.0.a.1, 12.6.0.b.1, 6578.6.0.?, 39468.12.0.? |
$[(3481/3, 11828/3)]$ |