| 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 |
Manin constant |
| 1518.n1 |
1518m2 |
1518.n |
1518m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 11^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$0.627056196$ |
$1$ |
|
$6$ |
$768$ |
$0.340701$ |
$858729462625/371764272$ |
$0.93039$ |
$3.75128$ |
$[1, 1, 1, -198, -621]$ |
\(y^2+xy+y=x^3+x^2-198x-621\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(-9, 27)]$ |
$1$ |
| 4554.g1 |
4554l2 |
4554.g |
4554l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( 2^{4} \cdot 3^{7} \cdot 11^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$0.380912291$ |
$1$ |
|
$10$ |
$6144$ |
$0.890007$ |
$858729462625/371764272$ |
$0.93039$ |
$4.04456$ |
$[1, -1, 0, -1782, 14980]$ |
\(y^2+xy=x^3-x^2-1782x+14980\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(72, 470)]$ |
$1$ |
| 12144.bi1 |
12144bk2 |
12144.bi |
12144bk |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{16} \cdot 3 \cdot 11^{4} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.033848$ |
$858729462625/371764272$ |
$0.93039$ |
$3.80628$ |
$[0, 1, 0, -3168, 33396]$ |
\(y^2=x^3+x^2-3168x+33396\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[ ]$ |
$1$ |
| 16698.h1 |
16698i2 |
16698.h |
16698i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 11^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1.897409868$ |
$1$ |
|
$6$ |
$92160$ |
$1.539648$ |
$858729462625/371764272$ |
$0.93039$ |
$4.30586$ |
$[1, 1, 0, -23960, 706512]$ |
\(y^2+xy=x^3+x^2-23960x+706512\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(28, 228)]$ |
$1$ |
| 34914.v1 |
34914u2 |
34914.v |
34914u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3 \cdot 11^{4} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$405504$ |
$1.908447$ |
$858729462625/371764272$ |
$0.93039$ |
$4.42532$ |
$[1, 1, 1, -104753, 6506015]$ |
\(y^2+xy+y=x^3+x^2-104753x+6506015\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[ ]$ |
$1$ |
| 36432.bf1 |
36432br2 |
36432.bf |
36432br |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( 2^{16} \cdot 3^{7} \cdot 11^{4} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.583155$ |
$858729462625/371764272$ |
$0.93039$ |
$4.03574$ |
$[0, 0, 0, -28515, -930206]$ |
\(y^2=x^3-28515x-930206\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[ ]$ |
$1$ |
| 37950.bj1 |
37950x2 |
37950.bj |
37950x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 11^{4} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$1.145420$ |
$858729462625/371764272$ |
$0.93039$ |
$3.52193$ |
$[1, 0, 1, -4951, -67702]$ |
\(y^2+xy+y=x^3-4951x-67702\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[ ]$ |
$1$ |
| 48576.s1 |
48576bw2 |
48576.s |
48576bw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{22} \cdot 3 \cdot 11^{4} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$3.960974097$ |
$1$ |
|
$9$ |
$147456$ |
$1.380421$ |
$858729462625/371764272$ |
$0.93039$ |
$3.70270$ |
$[0, -1, 0, -12673, 279841]$ |
\(y^2=x^3-x^2-12673x+279841\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(437, 8832), (-75, 896)]$ |
$1$ |
| 48576.cv1 |
48576br2 |
48576.cv |
48576br |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{22} \cdot 3 \cdot 11^{4} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.380421$ |
$858729462625/371764272$ |
$0.93039$ |
$3.70270$ |
$[0, 1, 0, -12673, -279841]$ |
\(y^2=x^3+x^2-12673x-279841\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[ ]$ |
$1$ |
| 50094.bz1 |
50094by2 |
50094.bz |
50094by |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{7} \cdot 11^{10} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$737280$ |
$2.088955$ |
$858729462625/371764272$ |
$0.93039$ |
$4.47785$ |
$[1, -1, 1, -215645, -19291467]$ |
\(y^2+xy+y=x^3-x^2-215645x-19291467\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[ ]$ |
$1$ |
| 74382.bo1 |
74382bo2 |
74382.bo |
74382bo |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 7^{6} \cdot 11^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$2.864089525$ |
$1$ |
|
$2$ |
$276480$ |
$1.313656$ |
$858729462625/371764272$ |
$0.93039$ |
$3.49062$ |
$[1, 0, 0, -9703, 183833]$ |
\(y^2+xy=x^3-9703x+183833\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(292, 4573)]$ |
$1$ |
| 104742.r1 |
104742g2 |
104742.r |
104742g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 11^{4} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$4.115426234$ |
$1$ |
|
$0$ |
$3244032$ |
$2.457752$ |
$858729462625/371764272$ |
$0.93039$ |
$4.57498$ |
$[1, -1, 0, -942777, -176605187]$ |
\(y^2+xy=x^3-x^2-942777x-176605187\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(18263/2, 2390803/2)]$ |
$1$ |
| 113850.ff1 |
113850fc2 |
113850.ff |
113850fc |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 11^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$0.436832864$ |
$1$ |
|
$10$ |
$884736$ |
$1.694725$ |
$858729462625/371764272$ |
$0.93039$ |
$3.75577$ |
$[1, -1, 1, -44555, 1827947]$ |
\(y^2+xy+y=x^3-x^2-44555x+1827947\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(249, 2350)]$ |
$1$ |
| 133584.de1 |
133584w2 |
133584.de |
133584w |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 23 \) |
\( 2^{16} \cdot 3 \cdot 11^{10} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$2.232796$ |
$858729462625/371764272$ |
$0.93039$ |
$4.25197$ |
$[0, 1, 0, -383368, -45983500]$ |
\(y^2=x^3+x^2-383368x-45983500\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[ ]$ |
$1$ |
| 145728.dt1 |
145728fk2 |
145728.dt |
145728fk |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( 2^{22} \cdot 3^{7} \cdot 11^{4} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$1.929728$ |
$858729462625/371764272$ |
$0.93039$ |
$3.91497$ |
$[0, 0, 0, -114060, 7441648]$ |
\(y^2=x^3-114060x+7441648\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[ ]$ |
$1$ |
| 145728.ef1 |
145728bp2 |
145728.ef |
145728bp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( 2^{22} \cdot 3^{7} \cdot 11^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1.912301277$ |
$1$ |
|
$3$ |
$1179648$ |
$1.929728$ |
$858729462625/371764272$ |
$0.93039$ |
$3.91497$ |
$[0, 0, 0, -114060, -7441648]$ |
\(y^2=x^3-114060x-7441648\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(482, 7040)]$ |
$1$ |
| 223146.bf1 |
223146dg2 |
223146.bf |
223146dg |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( 2^{4} \cdot 3^{7} \cdot 7^{6} \cdot 11^{4} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1.115631495$ |
$1$ |
|
$22$ |
$2211840$ |
$1.862963$ |
$858729462625/371764272$ |
$0.93039$ |
$3.71447$ |
$[1, -1, 0, -87327, -4963491]$ |
\(y^2+xy=x^3-x^2-87327x-4963491\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(345, 2253), (786, 19893)]$ |
$1$ |
| 256542.q1 |
256542q2 |
256542.q |
256542q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 11^{4} \cdot 13^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$0.849117261$ |
$1$ |
|
$6$ |
$1769472$ |
$1.623175$ |
$858729462625/371764272$ |
$0.93039$ |
$3.44185$ |
$[1, 1, 0, -33465, -1196619]$ |
\(y^2+xy=x^3+x^2-33465x-1196619\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(-73, 966)]$ |
$1$ |
| 279312.cw1 |
279312cw2 |
279312.cw |
279312cw |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{16} \cdot 3 \cdot 11^{4} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$9732096$ |
$2.601597$ |
$858729462625/371764272$ |
$0.93039$ |
$4.35479$ |
$[0, 1, 0, -1676048, -419737068]$ |
\(y^2=x^3+x^2-1676048x-419737068\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[ ]$ |
$1$ |
| 303600.bg1 |
303600bg2 |
303600.bg |
303600bg |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( 2^{16} \cdot 3 \cdot 5^{6} \cdot 11^{4} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2654208$ |
$1.838568$ |
$858729462625/371764272$ |
$0.93039$ |
$3.60068$ |
$[0, -1, 0, -79208, 4332912]$ |
\(y^2=x^3-x^2-79208x+4332912\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[ ]$ |
$1$ |
| 384054.g1 |
384054g2 |
384054.g |
384054g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 23^{2} \) |
\( 2^{4} \cdot 3 \cdot 11^{10} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$2.657305627$ |
$1$ |
|
$4$ |
$48660480$ |
$3.107395$ |
$858729462625/371764272$ |
$0.93039$ |
$4.71897$ |
$[1, 1, 0, -12675115, -8722881779]$ |
\(y^2+xy=x^3+x^2-12675115x-8722881779\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(-1050, 59089)]$ |
$1$ |
| 400752.cu1 |
400752cu2 |
400752.cu |
400752cu |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{16} \cdot 3^{7} \cdot 11^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1.647536822$ |
$1$ |
|
$7$ |
$17694720$ |
$2.782101$ |
$858729462625/371764272$ |
$0.93039$ |
$4.40083$ |
$[0, 0, 0, -3450315, 1238104186]$ |
\(y^2=x^3-3450315x+1238104186\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(-385, 50094)]$ |
$1$ |
| 417450.hh1 |
417450hh2 |
417450.hh |
417450hh |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 11^{10} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13271040$ |
$2.344368$ |
$858729462625/371764272$ |
$0.93039$ |
$3.98107$ |
$[1, 0, 0, -599013, 89512017]$ |
\(y^2+xy=x^3-599013x+89512017\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[ ]$ |
$1$ |
| 438702.cb1 |
438702cb2 |
438702.cb |
438702cb |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 11^{4} \cdot 17^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3194880$ |
$1.757307$ |
$858729462625/371764272$ |
$0.93039$ |
$3.42360$ |
$[1, 0, 0, -57228, -2649504]$ |
\(y^2+xy=x^3-57228x-2649504\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[ ]$ |
$1$ |
