| 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.p2 |
4830o1 |
4830.p |
4830o |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$2880$ |
$0.471850$ |
$463702796512201/15214500$ |
$0.92207$ |
$3.98112$ |
$[1, 0, 1, -1613, 24788]$ |
\(y^2+xy+y=x^3-1613x+24788\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 56.6.0.c.1, 168.48.0.?, $\ldots$ |
$[]$ |
| 14490.bm2 |
14490bq1 |
14490.bm |
14490bq |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$19320$ |
$96$ |
$1$ |
$4.128288135$ |
$1$ |
|
$3$ |
$23040$ |
$1.021156$ |
$463702796512201/15214500$ |
$0.92207$ |
$4.21261$ |
$[1, -1, 1, -14513, -669283]$ |
\(y^2+xy+y=x^3-x^2-14513x-669283\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 56.6.0.c.1, 168.48.0.?, $\ldots$ |
$[(531, 11614)]$ |
| 24150.bn2 |
24150bp1 |
24150.bn |
24150bp |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{9} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1.711178889$ |
$1$ |
|
$3$ |
$69120$ |
$1.276569$ |
$463702796512201/15214500$ |
$0.92207$ |
$4.30308$ |
$[1, 1, 1, -40313, 3098531]$ |
\(y^2+xy+y=x^3+x^2-40313x+3098531\) |
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, $\ldots$ |
$[(395, 6802)]$ |
| 33810.g2 |
33810c1 |
33810.g |
33810c |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$1.444805$ |
$463702796512201/15214500$ |
$0.92207$ |
$4.35783$ |
$[1, 1, 0, -79013, -8581383]$ |
\(y^2+xy=x^3+x^2-79013x-8581383\) |
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.1.10, $\ldots$ |
$[]$ |
| 38640.bc2 |
38640bx1 |
38640.bc |
38640bx |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{14} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$69120$ |
$1.164997$ |
$463702796512201/15214500$ |
$0.92207$ |
$3.98484$ |
$[0, -1, 0, -25800, -1586448]$ |
\(y^2=x^3-x^2-25800x-1586448\) |
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.c.1, $\ldots$ |
$[]$ |
| 72450.p2 |
72450u1 |
72450.p |
72450u |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{9} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.825876$ |
$463702796512201/15214500$ |
$0.92207$ |
$4.46967$ |
$[1, -1, 0, -362817, -84023159]$ |
\(y^2+xy=x^3-x^2-362817x-84023159\) |
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, $\ldots$ |
$[]$ |
| 101430.ew2 |
101430fc1 |
101430.ew |
101430fc |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{3} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$1.994112$ |
$463702796512201/15214500$ |
$0.92207$ |
$4.51434$ |
$[1, -1, 1, -711122, 230986221]$ |
\(y^2+xy+y=x^3-x^2-711122x+230986221\) |
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.1.2, $\ldots$ |
$[]$ |
| 111090.t2 |
111090q1 |
111090.t |
111090q |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$3.147616857$ |
$1$ |
|
$3$ |
$1520640$ |
$2.039597$ |
$463702796512201/15214500$ |
$0.92207$ |
$4.52598$ |
$[1, 0, 1, -853024, -303304678]$ |
\(y^2+xy+y=x^3-853024x-303304678\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0-6.a.1.4, 56.6.0.c.1, $\ldots$ |
$[(1125, 12133)]$ |
| 115920.r2 |
115920ct1 |
115920.r |
115920ct |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{14} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$2.736219103$ |
$1$ |
|
$5$ |
$552960$ |
$1.714304$ |
$463702796512201/15214500$ |
$0.92207$ |
$4.17470$ |
$[0, 0, 0, -232203, 43066298]$ |
\(y^2=x^3-232203x+43066298\) |
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.c.1, $\ldots$ |
$[(263, 434)]$ |
| 154560.bj2 |
154560hh1 |
154560.bj |
154560hh |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{20} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.511572$ |
$463702796512201/15214500$ |
$0.92207$ |
$3.87057$ |
$[0, -1, 0, -103201, 12794785]$ |
\(y^2=x^3-x^2-103201x+12794785\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 56.6.0.c.1, $\ldots$ |
$[]$ |
| 154560.er2 |
154560bz1 |
154560.er |
154560bz |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{20} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.511572$ |
$463702796512201/15214500$ |
$0.92207$ |
$3.87057$ |
$[0, 1, 0, -103201, -12794785]$ |
\(y^2=x^3+x^2-103201x-12794785\) |
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.c.1, $\ldots$ |
$[]$ |
| 169050.ic2 |
169050bk1 |
169050.ic |
169050bk |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{9} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$10.49763932$ |
$1$ |
|
$1$ |
$3317760$ |
$2.249523$ |
$463702796512201/15214500$ |
$0.92207$ |
$4.57739$ |
$[1, 0, 0, -1975338, -1068722208]$ |
\(y^2+xy=x^3-1975338x-1068722208\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 56.6.0.c.1, 105.8.0.?, $\ldots$ |
$[(619049/8, 479135935/8)]$ |
| 193200.gp2 |
193200bh1 |
193200.gp |
193200bh |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{14} \cdot 3^{3} \cdot 5^{9} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1658880$ |
$1.969717$ |
$463702796512201/15214500$ |
$0.92207$ |
$4.25130$ |
$[0, 1, 0, -645008, -199596012]$ |
\(y^2=x^3+x^2-645008x-199596012\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 56.6.0.c.1, 60.24.0-6.a.1.4, $\ldots$ |
$[]$ |
| 270480.fy2 |
270480fy1 |
270480.fy |
270480fy |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{14} \cdot 3^{3} \cdot 5^{3} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1.713885531$ |
$1$ |
|
$5$ |
$3317760$ |
$2.137951$ |
$463702796512201/15214500$ |
$0.92207$ |
$4.29834$ |
$[0, 1, 0, -1264216, 546680084]$ |
\(y^2=x^3+x^2-1264216x+546680084\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.7, 56.6.0.c.1, $\ldots$ |
$[(422, 9408)]$ |
| 333270.eh2 |
333270eh1 |
333270.eh |
333270eh |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$2.352288201$ |
$1$ |
|
$3$ |
$12165120$ |
$2.588905$ |
$463702796512201/15214500$ |
$0.92207$ |
$4.65332$ |
$[1, -1, 1, -7677212, 8189226299]$ |
\(y^2+xy+y=x^3-x^2-7677212x+8189226299\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0-6.a.1.3, 56.6.0.c.1, $\ldots$ |
$[(1617, 271)]$ |
| 463680.iw2 |
463680iw1 |
463680.iw |
463680iw |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{20} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1.717965979$ |
$1$ |
|
$17$ |
$4423680$ |
$2.060879$ |
$463702796512201/15214500$ |
$0.92207$ |
$4.04988$ |
$[0, 0, 0, -928812, 344530384]$ |
\(y^2=x^3-928812x+344530384\) |
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.c.1, $\ldots$ |
$[(533, 945), (428, 5040)]$ |
| 463680.ml2 |
463680ml1 |
463680.ml |
463680ml |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{20} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$5.029171103$ |
$1$ |
|
$3$ |
$4423680$ |
$2.060879$ |
$463702796512201/15214500$ |
$0.92207$ |
$4.04988$ |
$[0, 0, 0, -928812, -344530384]$ |
\(y^2=x^3-928812x-344530384\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 56.6.0.c.1, $\ldots$ |
$[(4630, 307584)]$ |
