| 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 |
| 3315.a4 |
3315b4 |
3315.a |
3315b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( - 3 \cdot 5^{4} \cdot 13^{4} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1.356343459$ |
$1$ |
|
$14$ |
$1792$ |
$0.404955$ |
$688699320191/910381875$ |
$0.88763$ |
$3.39347$ |
$[1, 1, 1, 184, -1012]$ |
\(y^2+xy+y=x^3+x^2+184x-1012\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 68.12.0-4.c.1.1, 102.6.0.?, $\ldots$ |
$[(8, 28), (11, 44)]$ |
| 9945.h4 |
9945k4 |
9945.h |
9945k |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( - 3^{7} \cdot 5^{4} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$26520$ |
$48$ |
$0$ |
$1.033858679$ |
$1$ |
|
$4$ |
$14336$ |
$0.954261$ |
$688699320191/910381875$ |
$0.88763$ |
$3.70457$ |
$[1, -1, 0, 1656, 28975]$ |
\(y^2+xy=x^3-x^2+1656x+28975\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 102.6.0.?, 204.24.0.?, 1560.24.0.?, $\ldots$ |
$[(14, 227)]$ |
| 16575.j4 |
16575h4 |
16575.j |
16575h |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3 \cdot 5^{10} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$10.10635418$ |
$1$ |
|
$0$ |
$43008$ |
$1.209675$ |
$688699320191/910381875$ |
$0.88763$ |
$3.82526$ |
$[1, 0, 1, 4599, -135677]$ |
\(y^2+xy+y=x^3+4599x-135677\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 102.6.0.?, 104.12.0.?, $\ldots$ |
$[(15451/14, 2216173/14)]$ |
| 43095.n4 |
43095f3 |
43095.n |
43095f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 3 \cdot 5^{4} \cdot 13^{10} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$301056$ |
$1.687429$ |
$688699320191/910381875$ |
$0.88763$ |
$4.01999$ |
$[1, 1, 0, 31093, -2378436]$ |
\(y^2+xy=x^3+x^2+31093x-2378436\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 102.6.0.?, 156.12.0.?, $\ldots$ |
$[]$ |
| 49725.k4 |
49725f3 |
49725.k |
49725f |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 3^{7} \cdot 5^{10} \cdot 13^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$344064$ |
$1.758980$ |
$688699320191/910381875$ |
$0.88763$ |
$4.04619$ |
$[1, -1, 1, 41395, 3663272]$ |
\(y^2+xy+y=x^3-x^2+41395x+3663272\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 102.6.0.?, 204.12.0.?, $\ldots$ |
$[]$ |
| 53040.ce4 |
53040co3 |
53040.ce |
53040co |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3 \cdot 5^{4} \cdot 13^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$114688$ |
$1.098103$ |
$688699320191/910381875$ |
$0.88763$ |
$3.29319$ |
$[0, 1, 0, 2944, 70644]$ |
\(y^2=x^3+x^2+2944x+70644\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 68.12.0-4.c.1.2, 102.6.0.?, $\ldots$ |
$[]$ |
| 56355.n4 |
56355x3 |
56355.n |
56355x |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 3 \cdot 5^{4} \cdot 13^{4} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$516096$ |
$1.821562$ |
$688699320191/910381875$ |
$0.88763$ |
$4.06854$ |
$[1, 0, 0, 53170, -5343273]$ |
\(y^2+xy=x^3+53170x-5343273\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 102.6.0.?, 204.24.0.?, 1560.24.0.?, $\ldots$ |
$[]$ |
| 129285.f4 |
129285w3 |
129285.f |
129285w |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 3^{7} \cdot 5^{4} \cdot 13^{10} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1.613612616$ |
$4$ |
$2$ |
$6$ |
$2408448$ |
$2.236736$ |
$688699320191/910381875$ |
$0.88763$ |
$4.20480$ |
$[1, -1, 1, 279832, 64497606]$ |
\(y^2+xy+y=x^3-x^2+279832x+64497606\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 102.6.0.?, 120.12.0.?, $\ldots$ |
$[(530, 18747)]$ |
| 159120.ej4 |
159120w3 |
159120.ej |
159120w |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{4} \cdot 13^{4} \cdot 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$917504$ |
$1.647408$ |
$688699320191/910381875$ |
$0.88763$ |
$3.54147$ |
$[0, 0, 0, 26493, -1880894]$ |
\(y^2=x^3+26493x-1880894\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 102.6.0.?, 204.24.0.?, 1560.24.0.?, $\ldots$ |
$[]$ |
| 162435.ba4 |
162435l4 |
162435.ba |
162435l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 3 \cdot 5^{4} \cdot 7^{6} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$3.251945867$ |
$1$ |
|
$2$ |
$516096$ |
$1.377911$ |
$688699320191/910381875$ |
$0.88763$ |
$3.26584$ |
$[1, 0, 0, 9015, 374100]$ |
\(y^2+xy=x^3+9015x+374100\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 102.6.0.?, 204.12.0.?, $\ldots$ |
$[(20, 740)]$ |
| 169065.bc4 |
169065bh4 |
169065.bc |
169065bh |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 3^{7} \cdot 5^{4} \cdot 13^{4} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$3.202649405$ |
$1$ |
|
$4$ |
$4128768$ |
$2.370869$ |
$688699320191/910381875$ |
$0.88763$ |
$4.24481$ |
$[1, -1, 0, 478530, 144268371]$ |
\(y^2+xy=x^3-x^2+478530x+144268371\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 68.12.0-4.c.1.1, 102.6.0.?, $\ldots$ |
$[(-182, 7241)]$ |
| 212160.dl4 |
212160cx4 |
212160.dl |
212160cx |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{18} \cdot 3 \cdot 5^{4} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$4.953776886$ |
$1$ |
|
$3$ |
$917504$ |
$1.444675$ |
$688699320191/910381875$ |
$0.88763$ |
$3.26005$ |
$[0, -1, 0, 11775, 553377]$ |
\(y^2=x^3-x^2+11775x+553377\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 102.6.0.?, 136.12.0.?, $\ldots$ |
$[(8, 805)]$ |
| 212160.gg4 |
212160ei3 |
212160.gg |
212160ei |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{18} \cdot 3 \cdot 5^{4} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$8.320077619$ |
$1$ |
|
$1$ |
$917504$ |
$1.444675$ |
$688699320191/910381875$ |
$0.88763$ |
$3.26005$ |
$[0, 1, 0, 11775, -553377]$ |
\(y^2=x^3+x^2+11775x-553377\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 102.6.0.?, 136.12.0.?, $\ldots$ |
$[(2114/5, 128337/5)]$ |
| 215475.r4 |
215475n3 |
215475.r |
215475n |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3 \cdot 5^{10} \cdot 13^{10} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$26520$ |
$48$ |
$0$ |
$12.28552491$ |
$1$ |
|
$0$ |
$7225344$ |
$2.492149$ |
$688699320191/910381875$ |
$0.88763$ |
$4.27948$ |
$[1, 0, 0, 777312, -298859133]$ |
\(y^2+xy=x^3+777312x-298859133\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 102.6.0.?, 204.12.0.?, $\ldots$ |
$[(214787/2, 99342055/2)]$ |
| 265200.i4 |
265200i4 |
265200.i |
265200i |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3 \cdot 5^{10} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$2.662861680$ |
$1$ |
|
$5$ |
$2752512$ |
$1.902821$ |
$688699320191/910381875$ |
$0.88763$ |
$3.64204$ |
$[0, -1, 0, 73592, 8683312]$ |
\(y^2=x^3-x^2+73592x+8683312\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 102.6.0.?, 104.12.0.?, $\ldots$ |
$[(66, 3718)]$ |
| 281775.bj4 |
281775bj3 |
281775.bj |
281775bj |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 13 \cdot 17^{2} \) |
\( - 3 \cdot 5^{10} \cdot 13^{4} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$15.79880291$ |
$1$ |
|
$0$ |
$12386304$ |
$2.626282$ |
$688699320191/910381875$ |
$0.88763$ |
$4.31626$ |
$[1, 1, 0, 1329250, -667909125]$ |
\(y^2+xy=x^3+x^2+1329250x-667909125\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 102.6.0.?, 204.12.0.?, $\ldots$ |
$[(4126399/62, 10523548633/62)]$ |
| 401115.bk4 |
401115bk4 |
401115.bk |
401115bk |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( - 3 \cdot 5^{4} \cdot 11^{6} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$291720$ |
$48$ |
$0$ |
$7.401548693$ |
$1$ |
|
$0$ |
$2293760$ |
$1.603903$ |
$688699320191/910381875$ |
$0.88763$ |
$3.24722$ |
$[1, 1, 0, 22262, 1458043]$ |
\(y^2+xy=x^3+x^2+22262x+1458043\) |
2.3.0.a.1, 4.6.0.c.1, 102.6.0.?, 132.12.0.?, 204.12.0.?, $\ldots$ |
$[(2839/6, 407633/6)]$ |
| 487305.dc4 |
487305dc3 |
487305.dc |
487305dc |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 3^{7} \cdot 5^{4} \cdot 7^{6} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$5.815193222$ |
$1$ |
|
$0$ |
$4128768$ |
$1.927216$ |
$688699320191/910381875$ |
$0.88763$ |
$3.49520$ |
$[1, -1, 0, 81135, -10100700]$ |
\(y^2+xy=x^3-x^2+81135x-10100700\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 102.6.0.?, 204.12.0.?, $\ldots$ |
$[(835/2, 31065/2)]$ |
