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 |
16830.v1 |
16830m3 |
16830.v |
16830m |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$22440$ |
$96$ |
$1$ |
$4.655784893$ |
$1$ |
|
$1$ |
$48384$ |
$1.293432$ |
$152298969481827/86468800$ |
$0.91751$ |
$4.37208$ |
$[1, -1, 0, -30039, -1995427]$ |
\(y^2+xy=x^3-x^2-30039x-1995427\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 120.48.0.?, 1122.48.0.?, $\ldots$ |
$[(823/2, 4847/2)]$ |
16830.bl2 |
16830bk1 |
16830.bl |
16830bk |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11 \cdot 17^{3} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$22440$ |
$96$ |
$1$ |
$2.128743087$ |
$1$ |
|
$11$ |
$16128$ |
$0.744127$ |
$152298969481827/86468800$ |
$0.91751$ |
$3.69469$ |
$[1, -1, 1, -3338, 75017]$ |
\(y^2+xy+y=x^3-x^2-3338x+75017\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 120.48.0.?, 1122.48.0.?, $\ldots$ |
$[(31, 9)]$ |
84150.dg2 |
84150b1 |
84150.dg |
84150b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 11 \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$2.150104267$ |
$1$ |
|
$5$ |
$387072$ |
$1.548845$ |
$152298969481827/86468800$ |
$0.91751$ |
$4.02186$ |
$[1, -1, 0, -83442, 9293716]$ |
\(y^2+xy=x^3-x^2-83442x+9293716\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0-6.a.1.2, $\ldots$ |
$[(179, 173)]$ |
84150.hb1 |
84150el3 |
84150.hb |
84150el |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{8} \cdot 11 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1161216$ |
$2.098152$ |
$152298969481827/86468800$ |
$0.91751$ |
$4.60312$ |
$[1, -1, 1, -750980, -250179353]$ |
\(y^2+xy+y=x^3-x^2-750980x-250179353\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0-6.a.1.10, $\ldots$ |
$[]$ |
134640.cp2 |
134640ed1 |
134640.cp |
134640ed |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 11 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$387072$ |
$1.437275$ |
$152298969481827/86468800$ |
$0.91751$ |
$3.74844$ |
$[0, 0, 0, -53403, -4747702]$ |
\(y^2=x^3-53403x-4747702\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 120.48.0.?, $\ldots$ |
$[]$ |
134640.fn1 |
134640dj3 |
134640.fn |
134640dj |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$5.903771814$ |
$1$ |
|
$3$ |
$1161216$ |
$1.986580$ |
$152298969481827/86468800$ |
$0.91751$ |
$4.30657$ |
$[0, 0, 0, -480627, 128187954]$ |
\(y^2=x^3-480627x+128187954\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 120.48.0.?, $\ldots$ |
$[(-185, 14518)]$ |
185130.bd2 |
185130fs1 |
185130.bd |
185130fs |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11^{7} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1935360$ |
$1.943075$ |
$152298969481827/86468800$ |
$0.91751$ |
$4.15045$ |
$[1, -1, 0, -403860, -98636400]$ |
\(y^2+xy=x^3-x^2-403860x-98636400\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 66.24.0-6.a.1.2, $\ldots$ |
$[]$ |
185130.fp1 |
185130bz3 |
185130.fp |
185130bz |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11^{7} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1.749587014$ |
$1$ |
|
$5$ |
$5806080$ |
$2.492382$ |
$152298969481827/86468800$ |
$0.91751$ |
$4.69393$ |
$[1, -1, 1, -3634742, 2666817541]$ |
\(y^2+xy+y=x^3-x^2-3634742x+2666817541\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 66.24.0-6.a.1.1, $\ldots$ |
$[(839, 13979)]$ |
286110.bn1 |
286110bn3 |
286110.bn |
286110bn |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$18.69793329$ |
$1$ |
|
$1$ |
$13934592$ |
$2.710041$ |
$152298969481827/86468800$ |
$0.91751$ |
$4.73918$ |
$[1, -1, 0, -8681325, -9838258075]$ |
\(y^2+xy=x^3-x^2-8681325x-9838258075\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 51.8.0-3.a.1.1, 66.24.0-6.a.1.3, $\ldots$ |
$[(-1120164838/817, -354340015773/817)]$ |
286110.gx2 |
286110gx1 |
286110.gx |
286110gx |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11 \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4644864$ |
$2.160732$ |
$152298969481827/86468800$ |
$0.91751$ |
$4.21454$ |
$[1, -1, 1, -964592, 364701459]$ |
\(y^2+xy+y=x^3-x^2-964592x+364701459\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 51.8.0-3.a.1.2, 66.24.0-6.a.1.4, $\ldots$ |
$[]$ |