| 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 |
| 704.a1 |
704l1 |
704.a |
704l |
$1$ |
$1$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{6} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$132$ |
$12$ |
$1$ |
$0.297417219$ |
$1$ |
|
$4$ |
$96$ |
$-0.374511$ |
$13824/1331$ |
$1.17246$ |
$2.86745$ |
$[0, 0, 0, 2, -14]$ |
\(y^2=x^3+2x-14\) |
3.3.0.a.1, 12.6.0.d.1, 22.2.0.a.1, 66.6.1.a.1, 132.12.1.? |
$[(5, 11)]$ |
| 704.b1 |
704i1 |
704.b |
704i |
$1$ |
$1$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{14} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$128$ |
$-0.282638$ |
$-27648/11$ |
$0.78666$ |
$3.11961$ |
$[0, 0, 0, -16, -32]$ |
\(y^2=x^3-16x-32\) |
22.2.0.a.1 |
$[]$ |
| 704.c1 |
704k3 |
704.c |
704k |
$3$ |
$25$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{6} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$2200$ |
$1200$ |
$37$ |
$0.915095465$ |
$1$ |
|
$0$ |
$400$ |
$0.843283$ |
$-52893159101157376/11$ |
$1.09296$ |
$6.50715$ |
$[0, -1, 0, -31281, 2139919]$ |
\(y^2=x^3-x^2-31281x+2139919\) |
5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 40.24.0-5.a.2.1, 110.24.1.?, $\ldots$ |
$[(922/3, 1/3)]$ |
| 704.c2 |
704k2 |
704.c |
704k |
$3$ |
$25$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{6} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$2200$ |
$1200$ |
$37$ |
$0.183019093$ |
$1$ |
|
$4$ |
$80$ |
$0.038564$ |
$-122023936/161051$ |
$1.01300$ |
$3.65525$ |
$[0, -1, 0, -41, 199]$ |
\(y^2=x^3-x^2-41x+199\) |
5.60.0.a.1, 22.2.0.a.1, 40.120.0-5.a.1.1, 110.120.5.?, 275.300.12.?, $\ldots$ |
$[(2, 11)]$ |
| 704.c3 |
704k1 |
704.c |
704k |
$3$ |
$25$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{6} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$2200$ |
$1200$ |
$37$ |
$0.915095465$ |
$1$ |
|
$2$ |
$16$ |
$-0.766155$ |
$-4096/11$ |
$0.82546$ |
$2.16671$ |
$[0, -1, 0, -1, -1]$ |
\(y^2=x^3-x^2-x-1\) |
5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 40.24.0-5.a.1.1, 110.24.1.?, $\ldots$ |
$[(2, 1)]$ |
| 704.d1 |
704g1 |
704.d |
704g |
$1$ |
$1$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$-0.600497$ |
$-2515456/11$ |
$0.85957$ |
$2.88318$ |
$[0, -1, 0, -11, -11]$ |
\(y^2=x^3-x^2-11x-11\) |
22.2.0.a.1 |
$[]$ |
| 704.e1 |
704b1 |
704.e |
704b |
$1$ |
$1$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{6} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$0.527945940$ |
$1$ |
|
$2$ |
$32$ |
$-0.773302$ |
$512/11$ |
$0.81074$ |
$2.13278$ |
$[0, -1, 0, 1, 1]$ |
\(y^2=x^3-x^2+x+1\) |
22.2.0.a.1 |
$[(0, 1)]$ |
| 704.f1 |
704d2 |
704.f |
704d |
$2$ |
$3$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{14} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$192$ |
$0.243586$ |
$-199794688/1331$ |
$0.99506$ |
$4.39672$ |
$[0, -1, 0, -309, -2003]$ |
\(y^2=x^3-x^2-309x-2003\) |
3.4.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.1, 66.8.0.a.1, 264.16.0.? |
$[]$ |
| 704.f2 |
704d1 |
704.f |
704d |
$2$ |
$3$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{14} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64$ |
$-0.305720$ |
$8192/11$ |
$0.84294$ |
$2.89667$ |
$[0, -1, 0, 11, -19]$ |
\(y^2=x^3-x^2+11x-19\) |
3.4.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.2, 66.8.0.a.1, 264.16.0.? |
$[]$ |
| 704.g1 |
704j1 |
704.g |
704j |
$1$ |
$1$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{6} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$0.440106483$ |
$1$ |
|
$2$ |
$32$ |
$-0.600497$ |
$-2515456/11$ |
$0.85957$ |
$2.88318$ |
$[0, 1, 0, -11, 11]$ |
\(y^2=x^3+x^2-11x+11\) |
22.2.0.a.1 |
$[(2, 1)]$ |
| 704.h1 |
704a3 |
704.h |
704a |
$3$ |
$25$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{6} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$2200$ |
$1200$ |
$37$ |
$12.68007523$ |
$1$ |
|
$0$ |
$400$ |
$0.843283$ |
$-52893159101157376/11$ |
$1.09296$ |
$6.50715$ |
$[0, 1, 0, -31281, -2139919]$ |
\(y^2=x^3+x^2-31281x-2139919\) |
5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 40.24.0-5.a.2.3, 110.24.1.?, $\ldots$ |
$[(267088/23, 128202697/23)]$ |
| 704.h2 |
704a2 |
704.h |
704a |
$3$ |
$25$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{6} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$2200$ |
$1200$ |
$37$ |
$2.536015047$ |
$1$ |
|
$2$ |
$80$ |
$0.038564$ |
$-122023936/161051$ |
$1.01300$ |
$3.65525$ |
$[0, 1, 0, -41, -199]$ |
\(y^2=x^3+x^2-41x-199\) |
5.60.0.a.1, 22.2.0.a.1, 40.120.0-5.a.1.3, 110.120.5.?, 275.300.12.?, $\ldots$ |
$[(8, 7)]$ |
| 704.h3 |
704a1 |
704.h |
704a |
$3$ |
$25$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{6} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$2200$ |
$1200$ |
$37$ |
$0.507203009$ |
$1$ |
|
$2$ |
$16$ |
$-0.766155$ |
$-4096/11$ |
$0.82546$ |
$2.16671$ |
$[0, 1, 0, -1, 1]$ |
\(y^2=x^3+x^2-x+1\) |
5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 40.24.0-5.a.1.3, 110.24.1.?, $\ldots$ |
$[(0, 1)]$ |
| 704.i1 |
704f2 |
704.i |
704f |
$2$ |
$3$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{14} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$192$ |
$0.243586$ |
$-199794688/1331$ |
$0.99506$ |
$4.39672$ |
$[0, 1, 0, -309, 2003]$ |
\(y^2=x^3+x^2-309x+2003\) |
3.4.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.3, 66.8.0.a.1, 264.16.0.? |
$[]$ |
| 704.i2 |
704f1 |
704.i |
704f |
$2$ |
$3$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{14} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64$ |
$-0.305720$ |
$8192/11$ |
$0.84294$ |
$2.89667$ |
$[0, 1, 0, 11, 19]$ |
\(y^2=x^3+x^2+11x+19\) |
3.4.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.4, 66.8.0.a.1, 264.16.0.? |
$[]$ |
| 704.j1 |
704c1 |
704.j |
704c |
$1$ |
$1$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$-0.773302$ |
$512/11$ |
$0.81074$ |
$2.13278$ |
$[0, 1, 0, 1, -1]$ |
\(y^2=x^3+x^2+x-1\) |
22.2.0.a.1 |
$[]$ |
| 704.k1 |
704h1 |
704.k |
704h |
$1$ |
$1$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{6} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$132$ |
$12$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$96$ |
$-0.374511$ |
$13824/1331$ |
$1.17246$ |
$2.86745$ |
$[0, 0, 0, 2, 14]$ |
\(y^2=x^3+2x+14\) |
3.3.0.a.1, 12.6.0.d.1, 22.2.0.a.1, 66.6.1.a.1, 132.12.1.? |
$[]$ |
| 704.l1 |
704e1 |
704.l |
704e |
$1$ |
$1$ |
\( 2^{6} \cdot 11 \) |
\( - 2^{14} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$128$ |
$-0.282638$ |
$-27648/11$ |
$0.78666$ |
$3.11961$ |
$[0, 0, 0, -16, 32]$ |
\(y^2=x^3-16x+32\) |
22.2.0.a.1 |
$[]$ |
