| 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 |
| 15950.i1 |
15950i2 |
15950.i |
15950i |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 29 \) |
\( - 2^{5} \cdot 5^{8} \cdot 11^{5} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$12760$ |
$48$ |
$1$ |
$1.559300575$ |
$1$ |
|
$2$ |
$66000$ |
$1.691151$ |
$-2002311132699145/149455328$ |
$0.92741$ |
$4.97134$ |
$[1, 0, 1, -191951, 32355298]$ |
\(y^2+xy+y=x^3-191951x+32355298\) |
5.24.0-5.a.1.1, 2552.2.0.?, 12760.48.1.? |
$[(268, 289)]$ |
| 15950.l1 |
15950n1 |
15950.l |
15950n |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 29 \) |
\( - 2^{5} \cdot 5^{2} \cdot 11^{5} \cdot 29 \) |
$1$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.1 |
5B.1.1 |
$12760$ |
$48$ |
$1$ |
$4.046225754$ |
$1$ |
|
$6$ |
$13200$ |
$0.886431$ |
$-2002311132699145/149455328$ |
$0.92741$ |
$3.97347$ |
$[1, 1, 1, -7678, 255771]$ |
\(y^2+xy+y=x^3+x^2-7678x+255771\) |
5.24.0-5.a.1.2, 2552.2.0.?, 12760.48.1.? |
$[(909, 26847)]$ |
| 127600.r1 |
127600bj2 |
127600.r |
127600bj |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 29 \) |
\( - 2^{17} \cdot 5^{8} \cdot 11^{5} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$12760$ |
$48$ |
$1$ |
$37.13172456$ |
$1$ |
|
$0$ |
$1584000$ |
$2.384296$ |
$-2002311132699145/149455328$ |
$0.92741$ |
$4.79953$ |
$[0, -1, 0, -3071208, -2070739088]$ |
\(y^2=x^3-x^2-3071208x-2070739088\) |
5.12.0.a.1, 20.24.0-5.a.1.1, 2552.2.0.?, 12760.48.1.? |
$[(13255206808132749/335602, 1525911991896369778332679/335602)]$ |
| 127600.bm1 |
127600s1 |
127600.bm |
127600s |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 29 \) |
\( - 2^{17} \cdot 5^{2} \cdot 11^{5} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$12760$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$316800$ |
$1.579578$ |
$-2002311132699145/149455328$ |
$0.92741$ |
$3.97816$ |
$[0, 1, 0, -122848, -16615052]$ |
\(y^2=x^3+x^2-122848x-16615052\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 2552.2.0.?, 12760.48.1.? |
$[ ]$ |
| 143550.s1 |
143550ee1 |
143550.s |
143550ee |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 29 \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{2} \cdot 11^{5} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$28.42238740$ |
$1$ |
|
$0$ |
$396000$ |
$1.435738$ |
$-2002311132699145/149455328$ |
$0.92741$ |
$3.79334$ |
$[1, -1, 0, -69102, -6974924]$ |
\(y^2+xy=x^3-x^2-69102x-6974924\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 2552.2.0.?, 12760.24.1.?, 38280.48.1.? |
$[(1805393460681/51445, 2161493134338397561/51445)]$ |
| 143550.fd1 |
143550j2 |
143550.fd |
143550j |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 29 \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{8} \cdot 11^{5} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$12.59993162$ |
$1$ |
|
$0$ |
$1980000$ |
$2.240456$ |
$-2002311132699145/149455328$ |
$0.92741$ |
$4.60657$ |
$[1, -1, 1, -1727555, -873593053]$ |
\(y^2+xy+y=x^3-x^2-1727555x-873593053\) |
5.12.0.a.1, 15.24.0-5.a.1.2, 2552.2.0.?, 12760.24.1.?, 38280.48.1.? |
$[(2523229/4, 4002871585/4)]$ |
| 175450.q1 |
175450cc1 |
175450.q |
175450cc |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 29 \) |
\( - 2^{5} \cdot 5^{2} \cdot 11^{11} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$12760$ |
$48$ |
$1$ |
$29.00622101$ |
$1$ |
|
$0$ |
$1584000$ |
$2.085377$ |
$-2002311132699145/149455328$ |
$0.92741$ |
$4.37590$ |
$[1, 1, 0, -929040, -345076640]$ |
\(y^2+xy=x^3+x^2-929040x-345076640\) |
5.12.0.a.1, 55.24.0-5.a.1.1, 1160.24.0.?, 2552.2.0.?, 12760.48.1.? |
$[(30786064119181/151180, 98396101146048477381/151180)]$ |
| 175450.cm1 |
175450y2 |
175450.cm |
175450y |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 29 \) |
\( - 2^{5} \cdot 5^{8} \cdot 11^{11} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$12760$ |
$48$ |
$1$ |
$32.29311061$ |
$1$ |
|
$0$ |
$7920000$ |
$2.890099$ |
$-2002311132699145/149455328$ |
$0.92741$ |
$5.17561$ |
$[1, 0, 0, -23226013, -43088127983]$ |
\(y^2+xy=x^3-23226013x-43088127983\) |
5.12.0.a.1, 55.24.0-5.a.1.2, 1160.24.0.?, 2552.2.0.?, 12760.48.1.? |
$[(1047586082623533/204916, 33112835338872744666467/204916)]$ |
| 462550.v1 |
462550v1 |
462550.v |
462550v |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 29^{2} \) |
\( - 2^{5} \cdot 5^{2} \cdot 11^{5} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$12760$ |
$48$ |
$1$ |
$8.546407263$ |
$1$ |
|
$0$ |
$11088000$ |
$2.570080$ |
$-2002311132699145/149455328$ |
$0.92741$ |
$4.49659$ |
$[1, 0, 1, -6457216, 6315489838]$ |
\(y^2+xy+y=x^3-6457216x+6315489838\) |
5.12.0.a.1, 145.24.0.?, 440.24.0.?, 2552.2.0.?, 12760.48.1.? |
$[(23213/4, 33473/4)]$ |
| 462550.bt1 |
462550bt2 |
462550.bt |
462550bt |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 29^{2} \) |
\( - 2^{5} \cdot 5^{8} \cdot 11^{5} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$12760$ |
$48$ |
$1$ |
$10.06493758$ |
$1$ |
|
$2$ |
$55440000$ |
$3.374798$ |
$-2002311132699145/149455328$ |
$0.92741$ |
$5.23688$ |
$[1, 1, 1, -161430388, 789436229781]$ |
\(y^2+xy+y=x^3+x^2-161430388x+789436229781\) |
5.12.0.a.1, 145.24.0.?, 440.24.0.?, 2552.2.0.?, 12760.48.1.? |
$[(43431, 8679003)]$ |
