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 |
46410.h2 |
46410i2 |
46410.h |
46410i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{8} \cdot 7^{6} \cdot 13^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$2.976611874$ |
$1$ |
|
$8$ |
$92897280$ |
$4.436218$ |
$68121465154900977371934154073952169/43710573588218598297600000000$ |
$1.03381$ |
$7.46436$ |
$[1, 1, 0, -8508508218, 301913300148372]$ |
\(y^2+xy=x^3+x^2-8508508218x+301913300148372\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0-2.a.1.1, 84.12.0.?, 104.24.0.?, $\ldots$ |
$[(43524, 3725310)]$ |
139230.en2 |
139230j2 |
139230.en |
139230j |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{8} \cdot 7^{6} \cdot 13^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$1.761651432$ |
$1$ |
|
$12$ |
$743178240$ |
$4.985527$ |
$68121465154900977371934154073952169/43710573588218598297600000000$ |
$1.03381$ |
$7.32853$ |
$[1, -1, 1, -76576573967, -8151735680580009]$ |
\(y^2+xy+y=x^3-x^2-76576573967x-8151735680580009\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0-2.a.1.1, 104.12.0.?, 156.12.0.?, $\ldots$ |
$[(-161079, 2002914)]$ |
232050.fy2 |
232050fy2 |
232050.fy |
232050fy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{14} \cdot 7^{6} \cdot 13^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2229534720$ |
$5.240944$ |
$68121465154900977371934154073952169/43710573588218598297600000000$ |
$1.03381$ |
$7.27360$ |
$[1, 0, 0, -212712705463, 37739587943957417]$ |
\(y^2+xy=x^3-212712705463x+37739587943957417\) |
2.6.0.a.1, 40.12.0-2.a.1.1, 104.12.0.?, 168.12.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
324870.cl2 |
324870cl2 |
324870.cl |
324870cl |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{8} \cdot 7^{12} \cdot 13^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$13.05688576$ |
$1$ |
|
$4$ |
$4459069440$ |
$5.409180$ |
$68121465154900977371934154073952169/43710573588218598297600000000$ |
$1.03381$ |
$7.23984$ |
$[1, 0, 1, -416916902708, -103557512701599694]$ |
\(y^2+xy+y=x^3-416916902708x-103557512701599694\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0-2.a.1.1, 104.12.0.?, 168.24.0.?, $\ldots$ |
$[(12063800970, 1325025595664842)]$ |
371280.ds2 |
371280ds2 |
371280.ds |
371280ds |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{30} \cdot 3^{2} \cdot 5^{8} \cdot 7^{6} \cdot 13^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$1$ |
$25$ |
$5$ |
$3$ |
$2229534720$ |
$5.129372$ |
$68121465154900977371934154073952169/43710573588218598297600000000$ |
$1.03381$ |
$6.90264$ |
$[0, 1, 0, -136136131496, -19322723481758796]$ |
\(y^2=x^3+x^2-136136131496x-19322723481758796\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0-2.a.1.1, 84.12.0.?, 104.24.0.?, $\ldots$ |
$[]$ |