| 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.j3 |
8190b3 |
8190.j |
8190b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{3} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$5460$ |
$96$ |
$1$ |
$1.527277460$ |
$1$ |
|
$7$ |
$41472$ |
$1.554546$ |
$177381177331203/29679104000$ |
$0.97925$ |
$4.73848$ |
$[1, -1, 0, -31605, -1815499]$ |
\(y^2+xy=x^3-x^2-31605x-1815499\) |
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.?, $\ldots$ |
$[(-70, 259)]$ |
| 8190.bq4 |
8190bf1 |
8190.bq |
8190bf |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$5460$ |
$96$ |
$1$ |
$0.648323660$ |
$1$ |
|
$21$ |
$13824$ |
$1.005239$ |
$177381177331203/29679104000$ |
$0.97925$ |
$4.00693$ |
$[1, -1, 1, -3512, 68411]$ |
\(y^2+xy+y=x^3-x^2-3512x+68411\) |
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.?, $\ldots$ |
$[(19, 81)]$ |
| 40950.a4 |
40950d1 |
40950.a |
40950d |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{9} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1.005061173$ |
$1$ |
|
$9$ |
$331776$ |
$1.809959$ |
$177381177331203/29679104000$ |
$0.97925$ |
$4.30898$ |
$[1, -1, 0, -87792, 8463616]$ |
\(y^2+xy=x^3-x^2-87792x+8463616\) |
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, $\ldots$ |
$[(29, 2423)]$ |
| 40950.ed3 |
40950cy3 |
40950.ed |
40950cy |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{9} \cdot 7^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$995328$ |
$2.359264$ |
$177381177331203/29679104000$ |
$0.97925$ |
$4.92965$ |
$[1, -1, 1, -790130, -227727503]$ |
\(y^2+xy+y=x^3-x^2-790130x-227727503\) |
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, $\ldots$ |
$[ ]$ |
| 57330.cz3 |
57330j3 |
57330.cz |
57330j |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{3} \cdot 7^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1.290288022$ |
$1$ |
|
$7$ |
$1990656$ |
$2.527500$ |
$177381177331203/29679104000$ |
$0.97925$ |
$4.96252$ |
$[1, -1, 0, -1548654, 625813460]$ |
\(y^2+xy=x^3-x^2-1548654x+625813460\) |
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, $\ldots$ |
$[(1031, 10632)]$ |
| 57330.dc4 |
57330dc1 |
57330.dc |
57330dc |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{3} \cdot 7^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$0.689780279$ |
$1$ |
|
$11$ |
$663552$ |
$1.978195$ |
$177381177331203/29679104000$ |
$0.97925$ |
$4.36091$ |
$[1, -1, 1, -172073, -23120919]$ |
\(y^2+xy+y=x^3-x^2-172073x-23120919\) |
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, $\ldots$ |
$[(-229, 2172)]$ |
| 65520.b3 |
65520bw3 |
65520.b |
65520bw |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{24} \cdot 3^{9} \cdot 5^{3} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$4.714102324$ |
$1$ |
|
$3$ |
$995328$ |
$2.247692$ |
$177381177331203/29679104000$ |
$0.97925$ |
$4.60001$ |
$[0, 0, 0, -505683, 116697618]$ |
\(y^2=x^3-505683x+116697618\) |
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.?, $\ldots$ |
$[(-113, 13130)]$ |
| 65520.dj4 |
65520cg1 |
65520.dj |
65520cg |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$1.698387$ |
$177381177331203/29679104000$ |
$0.97925$ |
$4.00563$ |
$[0, 0, 0, -56187, -4322134]$ |
\(y^2=x^3-56187x-4322134\) |
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.?, $\ldots$ |
$[ ]$ |
| 106470.bb4 |
106470e1 |
106470.bb |
106470e |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$5.491482582$ |
$1$ |
|
$3$ |
$2322432$ |
$2.287716$ |
$177381177331203/29679104000$ |
$0.97925$ |
$4.44856$ |
$[1, -1, 0, -593475, 148519125]$ |
\(y^2+xy=x^3-x^2-593475x+148519125\) |
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, $\ldots$ |
$[(5301, 379374)]$ |
| 106470.ev3 |
106470dr3 |
106470.ev |
106470dr |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{3} \cdot 7^{3} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1.414485245$ |
$1$ |
|
$7$ |
$6967296$ |
$2.837021$ |
$177381177331203/29679104000$ |
$0.97925$ |
$5.01801$ |
$[1, -1, 1, -5341277, -4004675099]$ |
\(y^2+xy+y=x^3-x^2-5341277x-4004675099\) |
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, $\ldots$ |
$[(-1069, 22504)]$ |
| 262080.b4 |
262080b1 |
262080.b |
262080b |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{30} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2654208$ |
$2.044960$ |
$177381177331203/29679104000$ |
$0.97925$ |
$3.89389$ |
$[0, 0, 0, -224748, -34577072]$ |
\(y^2=x^3-224748x-34577072\) |
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.?, $\ldots$ |
$[ ]$ |
| 262080.gx4 |
262080gx1 |
262080.gx |
262080gx |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{30} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2654208$ |
$2.044960$ |
$177381177331203/29679104000$ |
$0.97925$ |
$3.89389$ |
$[0, 0, 0, -224748, 34577072]$ |
\(y^2=x^3-224748x+34577072\) |
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.?, $\ldots$ |
$[ ]$ |
| 262080.kf3 |
262080kf3 |
262080.kf |
262080kf |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{30} \cdot 3^{9} \cdot 5^{3} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$4.361937251$ |
$1$ |
|
$3$ |
$7962624$ |
$2.594269$ |
$177381177331203/29679104000$ |
$0.97925$ |
$4.42223$ |
$[0, 0, 0, -2022732, 933580944]$ |
\(y^2=x^3-2022732x+933580944\) |
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.?, $\ldots$ |
$[(-1572, 15120)]$ |
| 262080.kj3 |
262080kj3 |
262080.kj |
262080kj |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{30} \cdot 3^{9} \cdot 5^{3} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$1.717938699$ |
$1$ |
|
$5$ |
$7962624$ |
$2.594269$ |
$177381177331203/29679104000$ |
$0.97925$ |
$4.42223$ |
$[0, 0, 0, -2022732, -933580944]$ |
\(y^2=x^3-2022732x-933580944\) |
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.?, $\ldots$ |
$[(-723, 12285)]$ |
| 286650.k4 |
286650k1 |
286650.k |
286650k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{9} \cdot 7^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$5.874515127$ |
$1$ |
|
$1$ |
$15925248$ |
$2.782913$ |
$177381177331203/29679104000$ |
$0.97925$ |
$4.57084$ |
$[1, -1, 0, -4301817, -2894416659]$ |
\(y^2+xy=x^3-x^2-4301817x-2894416659\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 105.8.0.?, 156.48.0.?, $\ldots$ |
$[(10935/2, 596763/2)]$ |
| 286650.rt3 |
286650rt3 |
286650.rt |
286650rt |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{9} \cdot 7^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$47775744$ |
$3.332222$ |
$177381177331203/29679104000$ |
$0.97925$ |
$5.09540$ |
$[1, -1, 1, -38716355, 78187966147]$ |
\(y^2+xy+y=x^3-x^2-38716355x+78187966147\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 105.8.0.?, 156.48.0.?, $\ldots$ |
$[ ]$ |
| 327600.gt3 |
327600gt3 |
327600.gt |
327600gt |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{24} \cdot 3^{9} \cdot 5^{9} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$2.650451877$ |
$1$ |
|
$7$ |
$23887872$ |
$3.052414$ |
$177381177331203/29679104000$ |
$0.97925$ |
$4.77743$ |
$[0, 0, 0, -12642075, 14587202250]$ |
\(y^2=x^3-12642075x+14587202250\) |
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.?, $\ldots$ |
$[(1335, 9450)]$ |
| 327600.nq4 |
327600nq1 |
327600.nq |
327600nq |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{9} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1.543791421$ |
$1$ |
|
$7$ |
$7962624$ |
$2.503105$ |
$177381177331203/29679104000$ |
$0.97925$ |
$4.25838$ |
$[0, 0, 0, -1404675, -540266750]$ |
\(y^2=x^3-1404675x-540266750\) |
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.?, $\ldots$ |
$[(-865, 5250)]$ |
| 458640.hd4 |
458640hd1 |
458640.hd |
458640hd |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{3} \cdot 7^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$6.363950541$ |
$1$ |
|
$3$ |
$15925248$ |
$2.671341$ |
$177381177331203/29679104000$ |
$0.97925$ |
$4.30334$ |
$[0, 0, 0, -2753163, 1482491962]$ |
\(y^2=x^3-2753163x+1482491962\) |
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.?, $\ldots$ |
$[(-481, 51918)]$ |
| 458640.hn3 |
458640hn3 |
458640.hn |
458640hn |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{24} \cdot 3^{9} \cdot 5^{3} \cdot 7^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5460$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$47775744$ |
$3.220650$ |
$177381177331203/29679104000$ |
$0.97925$ |
$4.80899$ |
$[0, 0, 0, -24778467, -40027282974]$ |
\(y^2=x^3-24778467x-40027282974\) |
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.?, $\ldots$ |
$[ ]$ |
