| 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 |
| 1100.a1 |
1100c2 |
1100.a |
1100c |
$2$ |
$2$ |
\( 2^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 5^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$0.410344362$ |
$1$ |
|
$11$ |
$576$ |
$0.605645$ |
$94875856/275$ |
$0.82986$ |
$4.79360$ |
$[0, 1, 0, -1508, 21988]$ |
\(y^2=x^3+x^2-1508x+21988\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? |
$[(28, 50)]$ |
| 1100.a2 |
1100c1 |
1100.a |
1100c |
$2$ |
$2$ |
\( 2^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 5^{7} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$0.205172181$ |
$1$ |
|
$13$ |
$288$ |
$0.259072$ |
$1048576/605$ |
$1.25294$ |
$3.75438$ |
$[0, 1, 0, -133, -12]$ |
\(y^2=x^3+x^2-133x-12\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? |
$[(-7, 25)]$ |
| 1100.b1 |
1100a2 |
1100.b |
1100a |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 5^{6} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$330$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$648$ |
$0.701732$ |
$-199794688/1331$ |
$0.99506$ |
$4.90158$ |
$[0, -1, 0, -1933, -32263]$ |
\(y^2=x^3-x^2-1933x-32263\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 22.2.0.a.1, 66.8.0.a.1, 330.16.0.? |
$[]$ |
| 1100.b2 |
1100a1 |
1100.b |
1100a |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 5^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$330$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$216$ |
$0.152425$ |
$8192/11$ |
$0.84294$ |
$3.49712$ |
$[0, -1, 0, 67, -263]$ |
\(y^2=x^3-x^2+67x-263\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 22.2.0.a.1, 66.8.0.a.1, 330.16.0.? |
$[]$ |
| 1100.c1 |
1100e2 |
1100.c |
1100e |
$2$ |
$2$ |
\( 2^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 5^{3} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$0.554545678$ |
$1$ |
|
$7$ |
$192$ |
$0.087343$ |
$88723728/11$ |
$0.98320$ |
$4.09457$ |
$[0, 0, 0, -295, 1950]$ |
\(y^2=x^3-295x+1950\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.? |
$[(11, 6)]$ |
| 1100.c2 |
1100e1 |
1100.c |
1100e |
$2$ |
$2$ |
\( 2^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 5^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$0.277272839$ |
$1$ |
|
$9$ |
$96$ |
$-0.259231$ |
$442368/121$ |
$0.95621$ |
$2.94168$ |
$[0, 0, 0, -20, 25]$ |
\(y^2=x^3-20x+25\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.e.1, 220.12.0.? |
$[(0, 5)]$ |
| 1100.d1 |
1100d2 |
1100.d |
1100d |
$2$ |
$2$ |
\( 2^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 5^{9} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$3.869632630$ |
$1$ |
|
$3$ |
$960$ |
$0.892061$ |
$88723728/11$ |
$0.98320$ |
$5.47348$ |
$[0, 0, 0, -7375, 243750]$ |
\(y^2=x^3-7375x+243750\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.? |
$[(550, 12750)]$ |
| 1100.d2 |
1100d1 |
1100.d |
1100d |
$2$ |
$2$ |
\( 2^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 5^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1.934816315$ |
$1$ |
|
$3$ |
$480$ |
$0.545488$ |
$442368/121$ |
$0.95621$ |
$4.32060$ |
$[0, 0, 0, -500, 3125]$ |
\(y^2=x^3-500x+3125\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.e.1, 220.12.0.? |
$[(19, 22)]$ |
| 1100.e1 |
1100b4 |
1100.e |
1100b |
$4$ |
$6$ |
\( 2^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 5^{8} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$5184$ |
$1.519169$ |
$154639330142416/33275$ |
$0.97344$ |
$6.83614$ |
$[0, -1, 0, -177508, -28726488]$ |
\(y^2=x^3-x^2-177508x-28726488\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 15.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 1100.e2 |
1100b3 |
1100.e |
1100b |
$4$ |
$6$ |
\( 2^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 5^{7} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2592$ |
$1.172596$ |
$610462990336/8857805$ |
$1.02612$ |
$5.64991$ |
$[0, -1, 0, -11133, -442738]$ |
\(y^2=x^3-x^2-11133x-442738\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 10.6.0.a.1, 15.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 1100.e3 |
1100b2 |
1100.e |
1100b |
$4$ |
$6$ |
\( 2^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 5^{12} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1728$ |
$0.969863$ |
$436334416/171875$ |
$0.87819$ |
$5.01148$ |
$[0, -1, 0, -2508, -26488]$ |
\(y^2=x^3-x^2-2508x-26488\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 15.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 1100.e4 |
1100b1 |
1100.e |
1100b |
$4$ |
$6$ |
\( 2^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 5^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$864$ |
$0.623289$ |
$643956736/15125$ |
$0.96705$ |
$4.67115$ |
$[0, -1, 0, -1133, 14762]$ |
\(y^2=x^3-x^2-1133x+14762\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 10.6.0.a.1, 15.8.0-3.a.1.2, $\ldots$ |
$[]$ |
