| 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 |
| 6699.a4 |
6699d1 |
6699.a |
6699d |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 29 \) |
\( - 3^{6} \cdot 7 \cdot 11^{4} \cdot 29^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$17864$ |
$48$ |
$0$ |
$1.301112890$ |
$1$ |
|
$7$ |
$20736$ |
$1.443899$ |
$-4275768267198290017/52843101620463$ |
$0.94825$ |
$4.87197$ |
$[1, 1, 1, -33814, 2404610]$ |
\(y^2+xy+y=x^3+x^2-33814x+2404610\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, 2552.24.0.?, $\ldots$ |
$[(62, 711)]$ |
| 20097.k4 |
20097f1 |
20097.k |
20097f |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 29 \) |
\( - 3^{12} \cdot 7 \cdot 11^{4} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$165888$ |
$1.993206$ |
$-4275768267198290017/52843101620463$ |
$0.94825$ |
$4.99704$ |
$[1, -1, 0, -304326, -65228801]$ |
\(y^2+xy=x^3-x^2-304326x-65228801\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
| 46893.d4 |
46893r1 |
46893.d |
46893r |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{6} \cdot 7^{7} \cdot 11^{4} \cdot 29^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$17864$ |
$48$ |
$0$ |
$3.442183807$ |
$1$ |
|
$7$ |
$995328$ |
$2.416855$ |
$-4275768267198290017/52843101620463$ |
$0.94825$ |
$5.07605$ |
$[1, 0, 0, -1656887, -829751952]$ |
\(y^2+xy=x^3-1656887x-829751952\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, 2552.24.0.?, $\ldots$ |
$[(9463, 906811)]$ |
| 73689.t4 |
73689m1 |
73689.t |
73689m |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{6} \cdot 7 \cdot 11^{10} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17864$ |
$48$ |
$0$ |
$21.97090656$ |
$1$ |
|
$1$ |
$2488320$ |
$2.642849$ |
$-4275768267198290017/52843101620463$ |
$0.94825$ |
$5.11331$ |
$[1, 1, 0, -4091496, -3220993629]$ |
\(y^2+xy=x^3+x^2-4091496x-3220993629\) |
2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(135028440366/7393, 16437778625387193/7393)]$ |
| 107184.bt4 |
107184ct1 |
107184.bt |
107184ct |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7 \cdot 11^{4} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$17864$ |
$48$ |
$0$ |
$1.941931423$ |
$1$ |
|
$5$ |
$1327104$ |
$2.137047$ |
$-4275768267198290017/52843101620463$ |
$0.94825$ |
$4.42385$ |
$[0, 1, 0, -541024, -154977100]$ |
\(y^2=x^3+x^2-541024x-154977100\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 14.6.0.b.1, 28.24.0-28.g.1.1, 2552.24.0.?, $\ldots$ |
$[(1082, 22968)]$ |
| 140679.y4 |
140679z1 |
140679.y |
140679z |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{12} \cdot 7^{7} \cdot 11^{4} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$5.681748106$ |
$1$ |
|
$1$ |
$7962624$ |
$2.966160$ |
$-4275768267198290017/52843101620463$ |
$0.94825$ |
$5.16168$ |
$[1, -1, 0, -14911983, 22403302704]$ |
\(y^2+xy=x^3-x^2-14911983x+22403302704\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(4887/2, 615159/2)]$ |
| 167475.be4 |
167475w1 |
167475.be |
167475w |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 29 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7 \cdot 11^{4} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89320$ |
$48$ |
$0$ |
$0.715435751$ |
$1$ |
|
$5$ |
$2654208$ |
$2.248619$ |
$-4275768267198290017/52843101620463$ |
$0.94825$ |
$4.37102$ |
$[1, 0, 1, -845351, 302266973]$ |
\(y^2+xy+y=x^3-845351x+302266973\) |
2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 20.12.0-4.c.1.2, 28.12.0.g.1, $\ldots$ |
$[(213, 11377)]$ |
| 194271.v4 |
194271v1 |
194271.v |
194271v |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 11 \cdot 29^{2} \) |
\( - 3^{6} \cdot 7 \cdot 11^{4} \cdot 29^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17864$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$17418240$ |
$3.127548$ |
$-4275768267198290017/52843101620463$ |
$0.94825$ |
$5.18390$ |
$[1, 0, 1, -28437592, 58987288721]$ |
\(y^2+xy+y=x^3-28437592x+58987288721\) |
2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 221067.m4 |
221067h1 |
221067.m |
221067h |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{12} \cdot 7 \cdot 11^{10} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$6.701524089$ |
$1$ |
|
$1$ |
$19906560$ |
$3.192154$ |
$-4275768267198290017/52843101620463$ |
$0.94825$ |
$5.19247$ |
$[1, -1, 1, -36823469, 86930004516]$ |
\(y^2+xy+y=x^3-x^2-36823469x+86930004516\) |
2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 132.12.0.?, $\ldots$ |
$[(131184/5, 24092863/5)]$ |
| 321552.ez4 |
321552ez1 |
321552.ez |
321552ez |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 29 \) |
\( - 2^{12} \cdot 3^{12} \cdot 7 \cdot 11^{4} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$4.094707975$ |
$1$ |
|
$3$ |
$10616832$ |
$2.686352$ |
$-4275768267198290017/52843101620463$ |
$0.94825$ |
$4.56040$ |
$[0, 0, 0, -4869219, 4179512482]$ |
\(y^2=x^3-4869219x+4179512482\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(1761, 32648)]$ |
| 428736.dw4 |
428736dw1 |
428736.dw |
428736dw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \) |
\( - 2^{18} \cdot 3^{6} \cdot 7 \cdot 11^{4} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$17864$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10616832$ |
$2.483620$ |
$-4275768267198290017/52843101620463$ |
$0.94825$ |
$4.27165$ |
$[0, -1, 0, -2164097, -1237652703]$ |
\(y^2=x^3-x^2-2164097x-1237652703\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
| 428736.hu4 |
428736hu1 |
428736.hu |
428736hu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \) |
\( - 2^{18} \cdot 3^{6} \cdot 7 \cdot 11^{4} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$17864$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10616832$ |
$2.483620$ |
$-4275768267198290017/52843101620463$ |
$0.94825$ |
$4.27165$ |
$[0, 1, 0, -2164097, 1237652703]$ |
\(y^2=x^3+x^2-2164097x+1237652703\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
