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 |
26520.x1 |
26520f4 |
26520.x |
26520f |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.350779$ |
$26362547147244676/244298925$ |
$[0, 1, 0, -62496, -6034320]$ |
\(y^2=x^3+x^2-62496x-6034320\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 26.6.0.b.1, 52.24.0-52.g.1.1, 136.24.0.?, $\ldots$ |
$[]$ |
53040.l1 |
53040g4 |
53040.l |
53040g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1768$ |
$48$ |
$0$ |
$1.336797637$ |
$1$ |
|
$11$ |
$147456$ |
$1.350779$ |
$26362547147244676/244298925$ |
$[0, -1, 0, -62496, 6034320]$ |
\(y^2=x^3-x^2-62496x+6034320\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 26.6.0.b.1, 52.24.0-52.g.1.2, 136.24.0.?, $\ldots$ |
$[(144, 12)]$ |
79560.bk1 |
79560bs4 |
79560.bk |
79560bs |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$1.475253545$ |
$1$ |
|
$5$ |
$589824$ |
$1.900084$ |
$26362547147244676/244298925$ |
$[0, 0, 0, -562467, 162364174]$ |
\(y^2=x^3-562467x+162364174\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(443, 360)]$ |
132600.o1 |
132600u4 |
132600.o |
132600u |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1769472$ |
$2.155499$ |
$26362547147244676/244298925$ |
$[0, -1, 0, -1562408, -751165188]$ |
\(y^2=x^3-x^2-1562408x-751165188\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
159120.du1 |
159120dg4 |
159120.du |
159120dg |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$1.900084$ |
$26362547147244676/244298925$ |
$[0, 0, 0, -562467, -162364174]$ |
\(y^2=x^3-562467x-162364174\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
212160.cw1 |
212160gm4 |
212160.cw |
212160gm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1768$ |
$48$ |
$0$ |
$3.525783240$ |
$1$ |
|
$5$ |
$1179648$ |
$1.697351$ |
$26362547147244676/244298925$ |
$[0, -1, 0, -249985, -48024575]$ |
\(y^2=x^3-x^2-249985x-48024575\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-288, 17)]$ |
212160.gx1 |
212160r3 |
212160.gx |
212160r |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1768$ |
$48$ |
$0$ |
$2.305438252$ |
$1$ |
|
$5$ |
$1179648$ |
$1.697351$ |
$26362547147244676/244298925$ |
$[0, 1, 0, -249985, 48024575]$ |
\(y^2=x^3+x^2-249985x+48024575\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(290, 45)]$ |
265200.fi1 |
265200fi3 |
265200.fi |
265200fi |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$2.155499$ |
$26362547147244676/244298925$ |
$[0, 1, 0, -1562408, 751165188]$ |
\(y^2=x^3+x^2-1562408x+751165188\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
344760.cm1 |
344760cm4 |
344760.cm |
344760cm |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13^{7} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1768$ |
$48$ |
$0$ |
$4.062499989$ |
$1$ |
|
$3$ |
$12386304$ |
$2.633251$ |
$26362547147244676/244298925$ |
$[0, 1, 0, -10561880, -13215153600]$ |
\(y^2=x^3+x^2-10561880x-13215153600\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 26.6.0.b.1, 52.24.0-52.g.1.1, 136.24.0.?, $\ldots$ |
$[(6400, 425880)]$ |
397800.cb1 |
397800cb3 |
397800.cb |
397800cb |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1.183374783$ |
$1$ |
|
$7$ |
$14155776$ |
$2.704803$ |
$26362547147244676/244298925$ |
$[0, 0, 0, -14061675, 20295521750]$ |
\(y^2=x^3-14061675x+20295521750\) |
2.3.0.a.1, 4.6.0.c.1, 26.6.0.b.1, 52.12.0.g.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(2119, 3672)]$ |
450840.x1 |
450840x4 |
450840.x |
450840x |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1768$ |
$48$ |
$0$ |
$9.557692580$ |
$1$ |
|
$1$ |
$21233664$ |
$2.767384$ |
$26362547147244676/244298925$ |
$[0, -1, 0, -18061440, -29538245700]$ |
\(y^2=x^3-x^2-18061440x-29538245700\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-120091/7, 149780/7)]$ |