| 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.p4 |
4830o4 |
4830.p |
4830o |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{3} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$1.367729$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$4.65476$ |
$[1, 0, 1, 10832, -151594]$ |
\(y^2+xy+y=x^3+10832x-151594\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 56.6.0.b.1, 168.48.0.?, $\ldots$ |
$[]$ |
| 14490.bm4 |
14490bq4 |
14490.bm |
14490bq |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 7^{3} \cdot 23^{6} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$19320$ |
$96$ |
$1$ |
$2.752192090$ |
$1$ |
|
$8$ |
$138240$ |
$1.917036$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$4.80901$ |
$[1, -1, 1, 97492, 4093031]$ |
\(y^2+xy+y=x^3-x^2+97492x+4093031\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 56.6.0.b.1, 168.48.0.?, $\ldots$ |
$[(231, 6121)]$ |
| 24150.bn4 |
24150bp4 |
24150.bn |
24150bp |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{8} \cdot 7^{3} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1.140785926$ |
$1$ |
|
$4$ |
$414720$ |
$2.172447$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$4.86930$ |
$[1, 1, 1, 270812, -18949219]$ |
\(y^2+xy+y=x^3+x^2+270812x-18949219\) |
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, $\ldots$ |
$[(155, 5097)]$ |
| 33810.g4 |
33810c4 |
33810.g |
33810c |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{9} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$2.340687$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$4.90578$ |
$[1, 1, 0, 530792, 52527448]$ |
\(y^2+xy=x^3+x^2+530792x+52527448\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0-6.a.1.13, $\ldots$ |
$[]$ |
| 38640.bc4 |
38640bx4 |
38640.bc |
38640bx |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{15} \cdot 3^{2} \cdot 5^{2} \cdot 7^{3} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$414720$ |
$2.060879$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$4.52586$ |
$[0, -1, 0, 173320, 9702000]$ |
\(y^2=x^3-x^2+173320x+9702000\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 56.6.0.b.1, $\ldots$ |
$[]$ |
| 72450.p4 |
72450u4 |
72450.p |
72450u |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{8} \cdot 7^{3} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3317760$ |
$2.721756$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$4.98030$ |
$[1, -1, 0, 2437308, 514066216]$ |
\(y^2+xy=x^3-x^2+2437308x+514066216\) |
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, $\ldots$ |
$[]$ |
| 101430.ew4 |
101430fc4 |
101430.ew |
101430fc |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 7^{9} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$6635520$ |
$2.889992$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$5.01007$ |
$[1, -1, 1, 4777123, -1413463971]$ |
\(y^2+xy+y=x^3-x^2+4777123x-1413463971\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0-6.a.1.5, $\ldots$ |
$[]$ |
| 111090.t4 |
111090q4 |
111090.t |
111090q |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{3} \cdot 23^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$18.88570114$ |
$1$ |
|
$0$ |
$9123840$ |
$2.935478$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$5.01782$ |
$[1, 0, 1, 5730381, 1855901926]$ |
\(y^2+xy+y=x^3+5730381x+1855901926\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 56.6.0.b.1, 60.24.0-6.a.1.5, $\ldots$ |
$[(13817261813/556, 1622683418829993/556)]$ |
| 115920.r4 |
115920ct4 |
115920.r |
115920ct |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{15} \cdot 3^{8} \cdot 5^{2} \cdot 7^{3} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$4.104328655$ |
$1$ |
|
$3$ |
$3317760$ |
$2.610184$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$4.66474$ |
$[0, 0, 0, 1559877, -263513878]$ |
\(y^2=x^3+1559877x-263513878\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 56.6.0.b.1, $\ldots$ |
$[(1981, 102960)]$ |
| 154560.bj4 |
154560hh4 |
154560.bj |
154560hh |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{21} \cdot 3^{2} \cdot 5^{2} \cdot 7^{3} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3317760$ |
$2.407452$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$4.34882$ |
$[0, -1, 0, 693279, -78309279]$ |
\(y^2=x^3-x^2+693279x-78309279\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 42.24.0-6.a.1.1, $\ldots$ |
$[]$ |
| 154560.er4 |
154560bz4 |
154560.er |
154560bz |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{21} \cdot 3^{2} \cdot 5^{2} \cdot 7^{3} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3317760$ |
$2.407452$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$4.34882$ |
$[0, 1, 0, 693279, 78309279]$ |
\(y^2=x^3+x^2+693279x+78309279\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 56.6.0.b.1, $\ldots$ |
$[]$ |
| 169050.ic4 |
169050bk4 |
169050.ic |
169050bk |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{8} \cdot 7^{9} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1.749606553$ |
$1$ |
|
$4$ |
$19906560$ |
$3.145405$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$5.05207$ |
$[1, 0, 0, 13269787, 6539391417]$ |
\(y^2+xy=x^3+13269787x+6539391417\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 56.6.0.b.1, 105.8.0.?, $\ldots$ |
$[(-444, 23889)]$ |
| 193200.gp4 |
193200bh4 |
193200.gp |
193200bh |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{15} \cdot 3^{2} \cdot 5^{8} \cdot 7^{3} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$9953280$ |
$2.865597$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$4.72078$ |
$[0, 1, 0, 4332992, 1221415988]$ |
\(y^2=x^3+x^2+4332992x+1221415988\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 56.6.0.b.1, 60.24.0-6.a.1.2, $\ldots$ |
$[]$ |
| 270480.fy4 |
270480fy4 |
270480.fy |
270480fy |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{15} \cdot 3^{2} \cdot 5^{2} \cdot 7^{9} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$2.570828297$ |
$1$ |
|
$5$ |
$19906560$ |
$3.033833$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$4.75519$ |
$[0, 1, 0, 8492664, -3344771340]$ |
\(y^2=x^3+x^2+8492664x-3344771340\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.4, 56.6.0.b.1, $\ldots$ |
$[(492, 30870)]$ |
| 333270.eh4 |
333270eh4 |
333270.eh |
333270eh |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 7^{3} \cdot 23^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$14.11372920$ |
$1$ |
|
$0$ |
$72990720$ |
$3.484783$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$5.10267$ |
$[1, -1, 1, 51573433, -50109352009]$ |
\(y^2+xy+y=x^3-x^2+51573433x-50109352009\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 56.6.0.b.1, 60.24.0-6.a.1.9, $\ldots$ |
$[(4846935/22, 12859297981/22)]$ |
| 463680.iw4 |
463680iw4 |
463680.iw |
463680iw |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{21} \cdot 3^{8} \cdot 5^{2} \cdot 7^{3} \cdot 23^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$15.46169381$ |
$1$ |
|
$11$ |
$26542080$ |
$2.956757$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$4.48786$ |
$[0, 0, 0, 6239508, -2108111024]$ |
\(y^2=x^3+6239508x-2108111024\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 56.6.0.b.1, $\ldots$ |
$[(602, 43200), (37082, 7156800)]$ |
| 463680.ml4 |
463680ml4 |
463680.ml |
463680ml |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{21} \cdot 3^{8} \cdot 5^{2} \cdot 7^{3} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$0.838195183$ |
$1$ |
|
$9$ |
$26542080$ |
$2.956757$ |
$140574743422291079/91397357868600$ |
$0.98167$ |
$4.48786$ |
$[0, 0, 0, 6239508, 2108111024]$ |
\(y^2=x^3+6239508x+2108111024\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 42.24.0-6.a.1.2, $\ldots$ |
$[(358, 66240)]$ |
