| 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 |
| 87464.a1 |
87464e1 |
87464.a |
87464e |
$2$ |
$2$ |
\( 2^{3} \cdot 13 \cdot 29^{2} \) |
\( 2^{8} \cdot 13 \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$3016$ |
$48$ |
$0$ |
$4.652463193$ |
$1$ |
|
$1$ |
$376320$ |
$1.597551$ |
$830321872/377$ |
$0.78858$ |
$4.06770$ |
$[0, 1, 0, -104564, -13044128]$ |
\(y^2=x^3+x^2-104564x-13044128\) |
2.3.0.a.1, 4.6.0.b.1, 104.12.0.?, 232.12.0.?, 754.6.0.?, $\ldots$ |
$[(9436/5, 148016/5)]$ |
| 87464.a2 |
87464e2 |
87464.a |
87464e |
$2$ |
$2$ |
\( 2^{3} \cdot 13 \cdot 29^{2} \) |
\( - 2^{10} \cdot 13^{2} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$3016$ |
$48$ |
$0$ |
$9.304926387$ |
$1$ |
|
$1$ |
$752640$ |
$1.944124$ |
$-122657188/142129$ |
$0.81001$ |
$4.11808$ |
$[0, 1, 0, -87744, -17363504]$ |
\(y^2=x^3+x^2-87744x-17363504\) |
2.3.0.a.1, 4.6.0.a.1, 52.12.0-4.a.1.2, 116.12.0.?, 1508.24.0.?, $\ldots$ |
$[(1146297/4, 1227283915/4)]$ |
| 87464.b1 |
87464b2 |
87464.b |
87464b |
$2$ |
$2$ |
\( 2^{3} \cdot 13 \cdot 29^{2} \) |
\( 2^{10} \cdot 13^{2} \cdot 29^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1508$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1662976$ |
$2.269333$ |
$1826132/169$ |
$0.77509$ |
$4.53950$ |
$[0, 1, 0, -625984, -174933264]$ |
\(y^2=x^3+x^2-625984x-174933264\) |
2.3.0.a.1, 52.6.0.d.1, 58.6.0.a.1, 1508.12.0.? |
$[]$ |
| 87464.b2 |
87464b1 |
87464.b |
87464b |
$2$ |
$2$ |
\( 2^{3} \cdot 13 \cdot 29^{2} \) |
\( 2^{8} \cdot 13 \cdot 29^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1508$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$831488$ |
$1.922758$ |
$78608/13$ |
$0.65608$ |
$4.14124$ |
$[0, 1, 0, -138204, 16666720]$ |
\(y^2=x^3+x^2-138204x+16666720\) |
2.3.0.a.1, 52.6.0.d.1, 116.6.0.?, 754.6.0.?, 1508.12.0.? |
$[]$ |
| 87464.c1 |
87464a1 |
87464.c |
87464a |
$1$ |
$1$ |
\( 2^{3} \cdot 13 \cdot 29^{2} \) |
\( - 2^{11} \cdot 13 \cdot 29^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$14.36282176$ |
$1$ |
|
$0$ |
$193536$ |
$1.290617$ |
$-235298/13$ |
$0.96559$ |
$3.54058$ |
$[0, -1, 0, -13736, -643988]$ |
\(y^2=x^3-x^2-13736x-643988\) |
104.2.0.? |
$[(49323081/109, 346216567454/109)]$ |
| 87464.d1 |
87464d2 |
87464.d |
87464d |
$2$ |
$2$ |
\( 2^{3} \cdot 13 \cdot 29^{2} \) |
\( 2^{8} \cdot 13 \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1508$ |
$12$ |
$0$ |
$4.795320684$ |
$1$ |
|
$3$ |
$322560$ |
$1.678574$ |
$212992848/10933$ |
$0.82678$ |
$3.94813$ |
$[0, 0, 0, -66439, 6292362]$ |
\(y^2=x^3-66439x+6292362\) |
2.3.0.a.1, 26.6.0.b.1, 116.6.0.?, 1508.12.0.? |
$[(-51, 3090)]$ |
| 87464.d2 |
87464d1 |
87464.d |
87464d |
$2$ |
$2$ |
\( 2^{3} \cdot 13 \cdot 29^{2} \) |
\( 2^{4} \cdot 13^{2} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1508$ |
$12$ |
$0$ |
$9.590641369$ |
$1$ |
|
$1$ |
$161280$ |
$1.332001$ |
$18966528/4901$ |
$0.82482$ |
$3.49192$ |
$[0, 0, 0, -11774, -365835]$ |
\(y^2=x^3-11774x-365835\) |
2.3.0.a.1, 52.6.0.c.1, 58.6.0.a.1, 1508.12.0.? |
$[(-8966/15, 675577/15)]$ |
| 87464.e1 |
87464c2 |
87464.e |
87464c |
$2$ |
$2$ |
\( 2^{3} \cdot 13 \cdot 29^{2} \) |
\( 2^{10} \cdot 13^{2} \cdot 29^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1508$ |
$12$ |
$0$ |
$5.087451844$ |
$1$ |
|
$1$ |
$57344$ |
$0.585685$ |
$1826132/169$ |
$0.77509$ |
$2.76396$ |
$[0, -1, 0, -744, -6916]$ |
\(y^2=x^3-x^2-744x-6916\) |
2.3.0.a.1, 52.6.0.d.1, 58.6.0.a.1, 1508.12.0.? |
$[(-107/3, 280/3)]$ |
| 87464.e2 |
87464c1 |
87464.e |
87464c |
$2$ |
$2$ |
\( 2^{3} \cdot 13 \cdot 29^{2} \) |
\( 2^{8} \cdot 13 \cdot 29^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1508$ |
$12$ |
$0$ |
$2.543725922$ |
$1$ |
|
$3$ |
$28672$ |
$0.239111$ |
$78608/13$ |
$0.65608$ |
$2.36570$ |
$[0, -1, 0, -164, 740]$ |
\(y^2=x^3-x^2-164x+740\) |
2.3.0.a.1, 52.6.0.d.1, 116.6.0.?, 754.6.0.?, 1508.12.0.? |
$[(1, 24)]$ |
| 87464.f1 |
87464f1 |
87464.f |
87464f |
$1$ |
$1$ |
\( 2^{3} \cdot 13 \cdot 29^{2} \) |
\( - 2^{11} \cdot 13 \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$190.6907030$ |
$1$ |
|
$0$ |
$15644160$ |
$3.018623$ |
$-226210687270871058/10933$ |
$0.99776$ |
$5.95735$ |
$[0, 0, 0, -135571723, -607577646106]$ |
\(y^2=x^3-135571723x-607577646106\) |
104.2.0.? |
$[(1731514784261590395361955596625648586474470052895359486512890627970374759317085844890/4977951056348700660041653632606211622277, 2244535658919169991794124759171105368499337941367223231721863882689395719375029647672976011871555486688305125352261003884631664/4977951056348700660041653632606211622277)]$ |
