| 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 |
| 4830.bk3 |
4830bk1 |
4830.bk |
4830bk |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{18} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2760$ |
$96$ |
$1$ |
$0.667280208$ |
$1$ |
|
$21$ |
$20736$ |
$1.242605$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$4.50553$ |
$[1, 0, 0, -480, 230400]$ |
\(y^2+xy=x^3-480x+230400\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 30.48.0-30.b.1.4, 184.6.0.?, $\ldots$ |
$[(80, 800)]$ |
| 14490.p3 |
14490r1 |
14490.p |
14490r |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{18} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2760$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$165888$ |
$1.791912$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$4.67689$ |
$[1, -1, 0, -4320, -6220800]$ |
\(y^2+xy=x^3-x^2-4320x-6220800\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 30.48.0-30.b.1.3, 184.6.0.?, $\ldots$ |
$[]$ |
| 24150.b3 |
24150h1 |
24150.b |
24150h |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{18} \cdot 3^{3} \cdot 5^{9} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2760$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$497664$ |
$2.047325$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$4.74386$ |
$[1, 1, 0, -12000, 28800000]$ |
\(y^2+xy=x^3+x^2-12000x+28800000\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 15.8.0-3.a.1.2, 30.48.0-30.b.1.1, $\ldots$ |
$[]$ |
| 33810.bv3 |
33810cd1 |
33810.bv |
33810cd |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{18} \cdot 3^{3} \cdot 5^{3} \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$3.224518112$ |
$1$ |
|
$5$ |
$995328$ |
$2.215561$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$4.78439$ |
$[1, 1, 1, -23521, -79050721]$ |
\(y^2+xy+y=x^3+x^2-23521x-79050721\) |
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.b.1, $\ldots$ |
$[(1183, 38784)]$ |
| 38640.bh3 |
38640by1 |
38640.bh |
38640by |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{30} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2760$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$497664$ |
$1.935753$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$4.40600$ |
$[0, -1, 0, -7680, -14745600]$ |
\(y^2=x^3-x^2-7680x-14745600\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 72450.dv3 |
72450do1 |
72450.dv |
72450do |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{18} \cdot 3^{9} \cdot 5^{9} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2760$ |
$96$ |
$1$ |
$0.959841529$ |
$1$ |
|
$9$ |
$3981312$ |
$2.596630$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$4.86718$ |
$[1, -1, 1, -108005, -777708003]$ |
\(y^2+xy+y=x^3-x^2-108005x-777708003\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 15.8.0-3.a.1.1, 30.48.0-30.b.1.2, $\ldots$ |
$[(1599, 55200)]$ |
| 101430.cs3 |
101430cr1 |
101430.cs |
101430cr |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{18} \cdot 3^{9} \cdot 5^{3} \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$4.640677563$ |
$1$ |
|
$5$ |
$7962624$ |
$2.764866$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$4.90025$ |
$[1, -1, 0, -211689, 2134157773]$ |
\(y^2+xy=x^3-x^2-211689x+2134157773\) |
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.b.1, $\ldots$ |
$[(-901, 40361)]$ |
| 111090.cq3 |
111090cq1 |
111090.cq |
111090cq |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{18} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2760$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$10948608$ |
$2.810352$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$4.90886$ |
$[1, 0, 0, -253931, -2803784655]$ |
\(y^2+xy=x^3-253931x-2803784655\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.7, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 115920.a3 |
115920cy1 |
115920.a |
115920cy |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{30} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2760$ |
$96$ |
$1$ |
$3.739385119$ |
$1$ |
|
$5$ |
$3981312$ |
$2.485058$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$4.55618$ |
$[0, 0, 0, -69123, 398200322]$ |
\(y^2=x^3-69123x+398200322\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 30.24.0.b.1, $\ldots$ |
$[(-353, 19458)]$ |
| 154560.bz3 |
154560hq1 |
154560.bz |
154560hq |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{36} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2760$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3981312$ |
$2.282326$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$4.24287$ |
$[0, -1, 0, -30721, 117995521]$ |
\(y^2=x^3-x^2-30721x+117995521\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 154560.ef3 |
154560bt1 |
154560.ef |
154560bt |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{36} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2760$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3981312$ |
$2.282326$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$4.24287$ |
$[0, 1, 0, -30721, -117995521]$ |
\(y^2=x^3+x^2-30721x-117995521\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 169050.cd3 |
169050fr1 |
169050.cd |
169050fr |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{18} \cdot 3^{3} \cdot 5^{9} \cdot 7^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$23887872$ |
$3.020279$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$4.94692$ |
$[1, 0, 1, -588026, -9880164052]$ |
\(y^2+xy+y=x^3-588026x-9880164052\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 42.24.0-6.a.1.1, $\ldots$ |
$[]$ |
| 193200.hp3 |
193200bu1 |
193200.hp |
193200bu |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{30} \cdot 3^{3} \cdot 5^{9} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2760$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$11943936$ |
$2.740471$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$4.61678$ |
$[0, 1, 0, -192008, -1843584012]$ |
\(y^2=x^3+x^2-192008x-1843584012\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 270480.hb3 |
270480hb1 |
270480.hb |
270480hb |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{30} \cdot 3^{3} \cdot 5^{3} \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$9.302344516$ |
$1$ |
|
$1$ |
$23887872$ |
$2.908707$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$4.65399$ |
$[0, 1, 0, -376336, 5058493460]$ |
\(y^2=x^3+x^2-376336x+5058493460\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 84.24.0.?, $\ldots$ |
$[(141929/4, 53538429/4)]$ |
| 333270.bj3 |
333270bj1 |
333270.bj |
333270bj |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{18} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 23^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2760$ |
$96$ |
$1$ |
$3.259755514$ |
$1$ |
|
$17$ |
$87588864$ |
$3.359657$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$5.00312$ |
$[1, -1, 0, -2285379, 75702185685]$ |
\(y^2+xy=x^3-x^2-2285379x+75702185685\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.15, 30.24.0.b.1, $\ldots$ |
$[(-2874, 243357), (351, 273582)]$ |
| 463680.kv3 |
463680kv1 |
463680.kv |
463680kv |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{36} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2760$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$31850496$ |
$2.831631$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$4.39083$ |
$[0, 0, 0, -276492, 3185602576]$ |
\(y^2=x^3-276492x+3185602576\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 463680.ky3 |
463680ky1 |
463680.ky |
463680ky |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{36} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2760$ |
$96$ |
$1$ |
$7.243721197$ |
$1$ |
|
$1$ |
$31850496$ |
$2.831631$ |
$-12232183057921/22933241856000$ |
$1.01546$ |
$4.39083$ |
$[0, 0, 0, -276492, -3185602576]$ |
\(y^2=x^3-276492x-3185602576\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 30.24.0.b.1, $\ldots$ |
$[(6865/2, 298809/2)]$ |
