| 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 |
| 9240.x1 |
9240k3 |
9240.x |
9240k |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 5^{4} \cdot 7 \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$6144$ |
$0.721093$ |
$12990838708516/144375$ |
$0.90730$ |
$4.06588$ |
$[0, 1, 0, -4936, -135136]$ |
\(y^2=x^3+x^2-4936x-135136\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 132.12.0.?, $\ldots$ |
$[]$ |
| 18480.ba1 |
18480h3 |
18480.ba |
18480h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 5^{4} \cdot 7 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$2.665768398$ |
$1$ |
|
$3$ |
$12288$ |
$0.721093$ |
$12990838708516/144375$ |
$0.90730$ |
$3.77902$ |
$[0, -1, 0, -4936, 135136]$ |
\(y^2=x^3-x^2-4936x+135136\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.5, 132.12.0.?, $\ldots$ |
$[(45, 46)]$ |
| 27720.be1 |
27720bn4 |
27720.be |
27720bn |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{4} \cdot 7 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1.494877472$ |
$1$ |
|
$5$ |
$49152$ |
$1.270399$ |
$12990838708516/144375$ |
$0.90730$ |
$4.27359$ |
$[0, 0, 0, -44427, 3604246]$ |
\(y^2=x^3-44427x+3604246\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 84.12.0.?, 120.12.0.?, $\ldots$ |
$[(131, 180)]$ |
| 46200.u1 |
46200bx4 |
46200.u |
46200bx |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 5^{10} \cdot 7 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$9240$ |
$48$ |
$0$ |
$2.178333321$ |
$4$ |
$2$ |
$7$ |
$147456$ |
$1.525812$ |
$12990838708516/144375$ |
$0.90730$ |
$4.35569$ |
$[0, -1, 0, -123408, -16645188]$ |
\(y^2=x^3-x^2-123408x-16645188\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 140.12.0.?, 280.24.0.?, $\ldots$ |
$[(-202, 4)]$ |
| 55440.ef1 |
55440bm4 |
55440.ef |
55440bm |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{4} \cdot 7 \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.270399$ |
$12990838708516/144375$ |
$0.90730$ |
$4.00240$ |
$[0, 0, 0, -44427, -3604246]$ |
\(y^2=x^3-44427x-3604246\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 84.12.0.?, 120.12.0.?, $\ldots$ |
$[]$ |
| 64680.o1 |
64680i4 |
64680.o |
64680i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 5^{4} \cdot 7^{7} \cdot 11 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$9240$ |
$48$ |
$0$ |
$3.813760854$ |
$1$ |
|
$5$ |
$294912$ |
$1.694048$ |
$12990838708516/144375$ |
$0.90730$ |
$4.40564$ |
$[0, -1, 0, -241880, 45867900]$ |
\(y^2=x^3-x^2-241880x+45867900\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 280.24.0.?, 924.24.0.?, 1320.24.0.?, $\ldots$ |
$[(481, 6370)]$ |
| 73920.cw1 |
73920bg4 |
73920.cw |
73920bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{16} \cdot 3 \cdot 5^{4} \cdot 7 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$3.688365989$ |
$1$ |
|
$3$ |
$98304$ |
$1.067667$ |
$12990838708516/144375$ |
$0.90730$ |
$3.68269$ |
$[0, -1, 0, -19745, -1061343]$ |
\(y^2=x^3-x^2-19745x-1061343\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 56.12.0-4.c.1.1, 264.12.0.?, $\ldots$ |
$[(319, 5000)]$ |
| 73920.hq1 |
73920ib4 |
73920.hq |
73920ib |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{16} \cdot 3 \cdot 5^{4} \cdot 7 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$3.988066819$ |
$1$ |
|
$3$ |
$98304$ |
$1.067667$ |
$12990838708516/144375$ |
$0.90730$ |
$3.68269$ |
$[0, 1, 0, -19745, 1061343]$ |
\(y^2=x^3+x^2-19745x+1061343\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 56.12.0-4.c.1.2, 264.12.0.?, $\ldots$ |
$[(306, 4875)]$ |
| 92400.fo1 |
92400cc4 |
92400.fo |
92400cc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 5^{10} \cdot 7 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$9240$ |
$48$ |
$0$ |
$4.912592527$ |
$1$ |
|
$1$ |
$294912$ |
$1.525812$ |
$12990838708516/144375$ |
$0.90730$ |
$4.09164$ |
$[0, 1, 0, -123408, 16645188]$ |
\(y^2=x^3+x^2-123408x+16645188\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 140.12.0.?, 280.24.0.?, $\ldots$ |
$[(821/2, 537/2)]$ |
| 101640.bx1 |
101640cm4 |
101640.bx |
101640cm |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3 \cdot 5^{4} \cdot 7 \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$3.755954981$ |
$1$ |
|
$3$ |
$737280$ |
$1.920040$ |
$12990838708516/144375$ |
$0.90730$ |
$4.46815$ |
$[0, 1, 0, -597296, 177476880]$ |
\(y^2=x^3+x^2-597296x+177476880\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 308.12.0.?, $\ldots$ |
$[(1536, 53724)]$ |
| 129360.hf1 |
129360df4 |
129360.hf |
129360df |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 5^{4} \cdot 7^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$9240$ |
$48$ |
$0$ |
$10.57607567$ |
$1$ |
|
$1$ |
$589824$ |
$1.694048$ |
$12990838708516/144375$ |
$0.90730$ |
$4.14620$ |
$[0, 1, 0, -241880, -45867900]$ |
\(y^2=x^3+x^2-241880x-45867900\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 280.24.0.?, 924.24.0.?, 1320.24.0.?, $\ldots$ |
$[(32079/5, 5241258/5)]$ |
| 138600.ee1 |
138600dm3 |
138600.ee |
138600dm |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{10} \cdot 7 \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$2.075119$ |
$12990838708516/144375$ |
$0.90730$ |
$4.50828$ |
$[0, 0, 0, -1110675, 450530750]$ |
\(y^2=x^3-1110675x+450530750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 220.12.0.?, 280.12.0.?, $\ldots$ |
$[]$ |
| 194040.bw1 |
194040ba4 |
194040.bw |
194040ba |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{4} \cdot 7^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$3.614044020$ |
$1$ |
|
$5$ |
$2359296$ |
$2.243355$ |
$12990838708516/144375$ |
$0.90730$ |
$4.54950$ |
$[0, 0, 0, -2176923, -1236256378]$ |
\(y^2=x^3-2176923x-1236256378\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 280.12.0.?, 308.12.0.?, $\ldots$ |
$[(-853, 92)]$ |
| 203280.i1 |
203280hc4 |
203280.i |
203280hc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3 \cdot 5^{4} \cdot 7 \cdot 11^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$29.75144643$ |
$1$ |
|
$3$ |
$1474560$ |
$1.920040$ |
$12990838708516/144375$ |
$0.90730$ |
$4.21475$ |
$[0, -1, 0, -597296, -177476880]$ |
\(y^2=x^3-x^2-597296x-177476880\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 280.12.0.?, 308.12.0.?, $\ldots$ |
$[(-1779/2, 39/2), (4141/2, 141449/2)]$ |
| 221760.m1 |
221760lw3 |
221760.m |
221760lw |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{16} \cdot 3^{7} \cdot 5^{4} \cdot 7 \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$2.261389028$ |
$1$ |
|
$17$ |
$786432$ |
$1.616972$ |
$12990838708516/144375$ |
$0.90730$ |
$3.88951$ |
$[0, 0, 0, -177708, 28833968]$ |
\(y^2=x^3-177708x+28833968\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 168.12.0.?, $\ldots$ |
$[(238, 144), (248, 124)]$ |
| 221760.fg1 |
221760db4 |
221760.fg |
221760db |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{16} \cdot 3^{7} \cdot 5^{4} \cdot 7 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$3.400512674$ |
$4$ |
$2$ |
$5$ |
$786432$ |
$1.616972$ |
$12990838708516/144375$ |
$0.90730$ |
$3.88951$ |
$[0, 0, 0, -177708, -28833968]$ |
\(y^2=x^3-177708x-28833968\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 168.12.0.?, $\ldots$ |
$[(-243, 13)]$ |
| 277200.bf1 |
277200bf4 |
277200.bf |
277200bf |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{10} \cdot 7 \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2359296$ |
$2.075119$ |
$12990838708516/144375$ |
$0.90730$ |
$4.25893$ |
$[0, 0, 0, -1110675, -450530750]$ |
\(y^2=x^3-1110675x-450530750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 220.12.0.?, 280.12.0.?, $\ldots$ |
$[]$ |
| 304920.ek1 |
304920ek4 |
304920.ek |
304920ek |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{4} \cdot 7 \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$9240$ |
$48$ |
$0$ |
$11.90833346$ |
$1$ |
|
$1$ |
$5898240$ |
$2.469345$ |
$12990838708516/144375$ |
$0.90730$ |
$4.60142$ |
$[0, 0, 0, -5375667, -4797251426]$ |
\(y^2=x^3-5375667x-4797251426\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 280.24.0.?, 924.24.0.?, 1320.24.0.?, $\ldots$ |
$[(-1207751/30, 1035307/30)]$ |
| 323400.gx1 |
323400gx3 |
323400.gx |
323400gx |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 5^{10} \cdot 7^{7} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$7077888$ |
$2.498768$ |
$12990838708516/144375$ |
$0.90730$ |
$4.60790$ |
$[0, 1, 0, -6047008, 5721393488]$ |
\(y^2=x^3+x^2-6047008x+5721393488\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0-4.c.1.5, 264.12.0.?, $\ldots$ |
$[]$ |
| 369600.cf1 |
369600cf3 |
369600.cf |
369600cf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{16} \cdot 3 \cdot 5^{10} \cdot 7 \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$9240$ |
$48$ |
$0$ |
$12.42775573$ |
$1$ |
|
$11$ |
$2359296$ |
$1.872385$ |
$12990838708516/144375$ |
$0.90730$ |
$3.97360$ |
$[0, -1, 0, -493633, 133655137]$ |
\(y^2=x^3-x^2-493633x+133655137\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 280.24.0.?, 924.12.0.?, $\ldots$ |
$[(411, 172), (408, 61)]$ |
| 369600.wn1 |
369600wn4 |
369600.wn |
369600wn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{16} \cdot 3 \cdot 5^{10} \cdot 7 \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2359296$ |
$1.872385$ |
$12990838708516/144375$ |
$0.90730$ |
$3.97360$ |
$[0, 1, 0, -493633, -133655137]$ |
\(y^2=x^3+x^2-493633x-133655137\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 280.24.0.?, 924.12.0.?, $\ldots$ |
$[]$ |
| 388080.br1 |
388080br3 |
388080.br |
388080br |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{4} \cdot 7^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$4.884175235$ |
$1$ |
|
$3$ |
$4718592$ |
$2.243355$ |
$12990838708516/144375$ |
$0.90730$ |
$4.30445$ |
$[0, 0, 0, -2176923, 1236256378]$ |
\(y^2=x^3-2176923x+1236256378\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 308.12.0.?, $\ldots$ |
$[(998, 7596)]$ |
