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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
22386.x1 |
22386z4 |
22386.x |
22386z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{7} \cdot 3^{4} \cdot 7^{2} \cdot 13^{4} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$12792$ |
$48$ |
$0$ |
$2.313277631$ |
$1$ |
|
$2$ |
$258048$ |
$1.935724$ |
$285311789321435384726737/594905980032$ |
$[1, 0, 0, -1371509, -618338655]$ |
\(y^2+xy=x^3-1371509x-618338655\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 164.12.0.?, 312.24.0.?, $\ldots$ |
$[(2746, 126391)]$ |
67158.u1 |
67158q4 |
67158.u |
67158q |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{7} \cdot 3^{10} \cdot 7^{2} \cdot 13^{4} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$12792$ |
$48$ |
$0$ |
$3.626307072$ |
$1$ |
|
$2$ |
$2064384$ |
$2.485031$ |
$285311789321435384726737/594905980032$ |
$[1, -1, 0, -12343581, 16695143685]$ |
\(y^2+xy=x^3-x^2-12343581x+16695143685\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 104.12.0.?, 312.24.0.?, $\ldots$ |
$[(2535, 39840)]$ |
156702.cb1 |
156702bn3 |
156702.cb |
156702bn |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{7} \cdot 3^{4} \cdot 7^{8} \cdot 13^{4} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12386304$ |
$2.908680$ |
$285311789321435384726737/594905980032$ |
$[1, 1, 1, -67203942, 212022954723]$ |
\(y^2+xy+y=x^3+x^2-67203942x+212022954723\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.2, 312.12.0.?, 328.12.0.?, $\ldots$ |
$[]$ |
179088.g1 |
179088bc3 |
179088.g |
179088bc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{19} \cdot 3^{4} \cdot 7^{2} \cdot 13^{4} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$12792$ |
$48$ |
$0$ |
$1.554748865$ |
$1$ |
|
$5$ |
$6193152$ |
$2.628872$ |
$285311789321435384726737/594905980032$ |
$[0, -1, 0, -21944144, 39573673920]$ |
\(y^2=x^3-x^2-21944144x+39573673920\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 164.12.0.?, 312.24.0.?, $\ldots$ |
$[(2680, 2240)]$ |
291018.bl1 |
291018bl4 |
291018.bl |
291018bl |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( 2^{7} \cdot 3^{4} \cdot 7^{2} \cdot 13^{10} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$12792$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$43352064$ |
$3.218201$ |
$285311789321435384726737/594905980032$ |
$[1, 0, 1, -231785025, -1358258240012]$ |
\(y^2+xy+y=x^3-231785025x-1358258240012\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 104.12.0.?, 312.24.0.?, $\ldots$ |
$[]$ |
470106.o1 |
470106o4 |
470106.o |
470106o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{7} \cdot 3^{10} \cdot 7^{8} \cdot 13^{4} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$17.24466526$ |
$1$ |
|
$0$ |
$99090432$ |
$3.457985$ |
$285311789321435384726737/594905980032$ |
$[1, -1, 0, -604835478, -5725224613004]$ |
\(y^2+xy=x^3-x^2-604835478x-5725224613004\) |
2.3.0.a.1, 4.6.0.c.1, 168.12.0.?, 312.12.0.?, 328.12.0.?, $\ldots$ |
$[(2700666527/253, 106911497176445/253)]$ |