| 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 |
| 8190.j4 |
8190b1 |
8190.j |
8190b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{4} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$5460$ |
$96$ |
$1$ |
$4.581832380$ |
$1$ |
|
$5$ |
$13824$ |
$1.005239$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$4.31242$ |
$[1, -1, 0, -8790, 319140]$ |
\(y^2+xy=x^3-x^2-8790x+319140\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 156.48.0.?, 210.48.0.?, $\ldots$ |
$[(472/3, -214/3)]$ |
| 8190.bq2 |
8190bf3 |
8190.bq |
8190bf |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{4} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$5460$ |
$96$ |
$1$ |
$1.944970980$ |
$1$ |
|
$3$ |
$41472$ |
$1.554546$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$5.04396$ |
$[1, -1, 1, -79112, -8537669]$ |
\(y^2+xy+y=x^3-x^2-79112x-8537669\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 156.48.0.?, 210.48.0.?, $\ldots$ |
$[(-161, -1)]$ |
| 40950.a2 |
40950d3 |
40950.a |
40950d |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{7} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$3.015183520$ |
$1$ |
|
$3$ |
$995328$ |
$2.359264$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$5.18884$ |
$[1, -1, 0, -1977792, -1069186384]$ |
\(y^2+xy=x^3-x^2-1977792x-1069186384\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$ |
$[(-796, 948)]$ |
| 40950.ed4 |
40950cy1 |
40950.ed |
40950cy |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{7} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$1.809959$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$4.56817$ |
$[1, -1, 1, -219755, 39672747]$ |
\(y^2+xy+y=x^3-x^2-219755x+39672747\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$ |
$[ ]$ |
| 57330.cz4 |
57330j1 |
57330.cz |
57330j |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{3} \cdot 5 \cdot 7^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$3.870864068$ |
$1$ |
|
$3$ |
$663552$ |
$1.978195$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$4.61214$ |
$[1, -1, 0, -430719, -108603587]$ |
\(y^2+xy=x^3-x^2-430719x-108603587\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 30.24.0-6.a.1.4, $\ldots$ |
$[(1514, 51281)]$ |
| 57330.dc2 |
57330dc3 |
57330.dc |
57330dc |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{9} \cdot 5 \cdot 7^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$2.069340839$ |
$1$ |
|
$3$ |
$1990656$ |
$2.527500$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$5.21375$ |
$[1, -1, 1, -3876473, 2936173321]$ |
\(y^2+xy+y=x^3-x^2-3876473x+2936173321\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 30.24.0-6.a.1.3, $\ldots$ |
$[(751, 20792)]$ |
| 65520.b4 |
65520bw1 |
65520.b |
65520bw |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{16} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1.571367441$ |
$1$ |
|
$5$ |
$331776$ |
$1.698387$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$4.25384$ |
$[0, 0, 0, -140643, -20284318]$ |
\(y^2=x^3-140643x-20284318\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 156.48.0.?, $\ldots$ |
$[(-217, 130)]$ |
| 65520.dj2 |
65520cg3 |
65520.dj |
65520cg |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{16} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$995328$ |
$2.247692$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$4.84821$ |
$[0, 0, 0, -1265787, 547676586]$ |
\(y^2=x^3-1265787x+547676586\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 156.48.0.?, $\ldots$ |
$[ ]$ |
| 106470.bb2 |
106470e3 |
106470.bb |
106470e |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$16.47444774$ |
$1$ |
|
$1$ |
$6967296$ |
$2.837021$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$5.25580$ |
$[1, -1, 0, -13369875, -18797367835]$ |
\(y^2+xy=x^3-x^2-13369875x-18797367835\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 39.8.0-3.a.1.2, $\ldots$ |
$[(710571229/347, 13594483345802/347)]$ |
| 106470.ev4 |
106470dr1 |
106470.ev |
106470dr |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$4.243455737$ |
$1$ |
|
$1$ |
$2322432$ |
$2.287716$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$4.68636$ |
$[1, -1, 1, -1485542, 696693989]$ |
\(y^2+xy+y=x^3-x^2-1485542x+696693989\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 39.8.0-3.a.1.1, $\ldots$ |
$[(3147/2, 27269/2)]$ |
| 262080.b2 |
262080b3 |
262080.b |
262080b |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{22} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$7962624$ |
$2.594269$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$4.64285$ |
$[0, 0, 0, -5063148, 4381412688]$ |
\(y^2=x^3-5063148x+4381412688\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 156.24.0.?, $\ldots$ |
$[ ]$ |
| 262080.gx2 |
262080gx3 |
262080.gx |
262080gx |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{22} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$7962624$ |
$2.594269$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$4.64285$ |
$[0, 0, 0, -5063148, -4381412688]$ |
\(y^2=x^3-5063148x-4381412688\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 156.24.0.?, $\ldots$ |
$[ ]$ |
| 262080.kf4 |
262080kf1 |
262080.kf |
262080kf |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{22} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$13.08581175$ |
$1$ |
|
$1$ |
$2654208$ |
$2.044960$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$4.11452$ |
$[0, 0, 0, -562572, -162274544]$ |
\(y^2=x^3-562572x-162274544\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 156.24.0.?, $\ldots$ |
$[(-4504420/101, 209479536/101)]$ |
| 262080.kj4 |
262080kj1 |
262080.kj |
262080kj |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{22} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$5.153816098$ |
$1$ |
|
$1$ |
$2654208$ |
$2.044960$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$4.11452$ |
$[0, 0, 0, -562572, 162274544]$ |
\(y^2=x^3-562572x+162274544\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 156.24.0.?, $\ldots$ |
$[(4750/3, 94976/3)]$ |
| 286650.k2 |
286650k3 |
286650.k |
286650k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{7} \cdot 7^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1.958171709$ |
$1$ |
|
$7$ |
$47775744$ |
$3.332222$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$5.31446$ |
$[1, -1, 0, -96911817, 366924753341]$ |
\(y^2+xy=x^3-x^2-96911817x+366924753341\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 105.8.0.?, 156.48.0.?, $\ldots$ |
$[(5833, 5683)]$ |
| 286650.rt4 |
286650rt1 |
286650.rt |
286650rt |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{7} \cdot 7^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$15925248$ |
$2.782913$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$4.78989$ |
$[1, -1, 1, -10767980, -13586216353]$ |
\(y^2+xy+y=x^3-x^2-10767980x-13586216353\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 105.8.0.?, 156.48.0.?, $\ldots$ |
$[ ]$ |
| 327600.gt4 |
327600gt1 |
327600.gt |
327600gt |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{16} \cdot 3^{3} \cdot 5^{7} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$7.951355632$ |
$1$ |
|
$1$ |
$7962624$ |
$2.503105$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$4.47513$ |
$[0, 0, 0, -3516075, -2535539750]$ |
\(y^2=x^3-3516075x-2535539750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.4, 84.24.0.?, $\ldots$ |
$[(-128185/11, 833850/11)]$ |
| 327600.nq2 |
327600nq3 |
327600.nq |
327600nq |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{16} \cdot 3^{9} \cdot 5^{7} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$4.631374265$ |
$1$ |
|
$3$ |
$23887872$ |
$3.052414$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$4.99418$ |
$[0, 0, 0, -31644675, 68459573250]$ |
\(y^2=x^3-31644675x+68459573250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.2, 84.24.0.?, $\ldots$ |
$[(-4065, 360450)]$ |
| 458640.hd2 |
458640hd3 |
458640.hd |
458640hd |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{9} \cdot 5 \cdot 7^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$19.09185162$ |
$1$ |
|
$1$ |
$47775744$ |
$3.220650$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$5.02014$ |
$[0, 0, 0, -62023563, -187853068998]$ |
\(y^2=x^3-62023563x-187853068998\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.1, 84.24.0.?, $\ldots$ |
$[(-5317889001/1091, 11087968858182/1091)]$ |
| 458640.hn4 |
458640hn1 |
458640.hn |
458640hn |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{3} \cdot 5 \cdot 7^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$15925248$ |
$2.671341$ |
$2781982314427707/2703013040$ |
$0.98968$ |
$4.51449$ |
$[0, 0, 0, -6891507, 6957521074]$ |
\(y^2=x^3-6891507x+6957521074\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.3, 84.24.0.?, $\ldots$ |
$[ ]$ |
