| 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.x3 |
9240k1 |
9240.x |
9240k |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.027946$ |
$2508888064/396165$ |
$0.83256$ |
$2.67385$ |
$[0, 1, 0, -71, 174]$ |
\(y^2=x^3+x^2-71x+174\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0-4.c.1.5, 132.12.0.?, $\ldots$ |
$[]$ |
| 18480.ba3 |
18480h1 |
18480.ba |
18480h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$2.665768398$ |
$1$ |
|
$3$ |
$3072$ |
$0.027946$ |
$2508888064/396165$ |
$0.83256$ |
$2.48520$ |
$[0, -1, 0, -71, -174]$ |
\(y^2=x^3-x^2-71x-174\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0-4.c.1.5, 132.12.0.?, $\ldots$ |
$[(10, 4)]$ |
| 27720.be3 |
27720bn1 |
27720.be |
27720bn |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 7^{4} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1.494877472$ |
$1$ |
|
$7$ |
$12288$ |
$0.577252$ |
$2508888064/396165$ |
$0.83256$ |
$3.03105$ |
$[0, 0, 0, -642, -5339]$ |
\(y^2=x^3-642x-5339\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 60.12.0-4.c.1.2, 168.12.0.?, $\ldots$ |
$[(-10, 9)]$ |
| 46200.u3 |
46200bx1 |
46200.u |
46200bx |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 5^{7} \cdot 7^{4} \cdot 11 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$9240$ |
$48$ |
$0$ |
$2.178333321$ |
$1$ |
|
$7$ |
$36864$ |
$0.832664$ |
$2508888064/396165$ |
$0.83256$ |
$3.17225$ |
$[0, -1, 0, -1783, 25312]$ |
\(y^2=x^3-x^2-1783x+25312\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 280.24.0.?, 330.6.0.?, 660.24.0.?, $\ldots$ |
$[(57, 325)]$ |
| 55440.ef3 |
55440bm1 |
55440.ef |
55440bm |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 7^{4} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.577252$ |
$2508888064/396165$ |
$0.83256$ |
$2.83871$ |
$[0, 0, 0, -642, 5339]$ |
\(y^2=x^3-642x+5339\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 60.12.0-4.c.1.1, 168.12.0.?, $\ldots$ |
$[]$ |
| 64680.o3 |
64680i1 |
64680.o |
64680i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{10} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$9240$ |
$48$ |
$0$ |
$3.813760854$ |
$1$ |
|
$3$ |
$73728$ |
$1.000900$ |
$2508888064/396165$ |
$0.83256$ |
$3.25815$ |
$[0, -1, 0, -3495, -66660]$ |
\(y^2=x^3-x^2-3495x-66660\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 140.12.0.?, 280.24.0.?, $\ldots$ |
$[(-28, 92)]$ |
| 73920.cw3 |
73920bg1 |
73920.cw |
73920bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$3.688365989$ |
$1$ |
|
$3$ |
$24576$ |
$0.374519$ |
$2508888064/396165$ |
$0.83256$ |
$2.54886$ |
$[0, -1, 0, -285, 1677]$ |
\(y^2=x^3-x^2-285x+1677\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 56.12.0-4.c.1.4, 264.12.0.?, $\ldots$ |
$[(77, 656)]$ |
| 73920.hq3 |
73920ib1 |
73920.hq |
73920ib |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$3.988066819$ |
$1$ |
|
$1$ |
$24576$ |
$0.374519$ |
$2508888064/396165$ |
$0.83256$ |
$2.54886$ |
$[0, 1, 0, -285, -1677]$ |
\(y^2=x^3+x^2-285x-1677\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 56.12.0-4.c.1.4, 264.12.0.?, $\ldots$ |
$[(-43/2, 129/2)]$ |
| 92400.fo3 |
92400cc1 |
92400.fo |
92400cc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 5^{7} \cdot 7^{4} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$9240$ |
$48$ |
$0$ |
$4.912592527$ |
$1$ |
|
$3$ |
$73728$ |
$0.832664$ |
$2508888064/396165$ |
$0.83256$ |
$2.97994$ |
$[0, 1, 0, -1783, -25312]$ |
\(y^2=x^3+x^2-1783x-25312\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 280.24.0.?, 330.6.0.?, 660.24.0.?, $\ldots$ |
$[(112, 1092)]$ |
| 101640.bx3 |
101640cm1 |
101640.bx |
101640cm |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$3.755954981$ |
$1$ |
|
$3$ |
$184320$ |
$1.226894$ |
$2508888064/396165$ |
$0.83256$ |
$3.36564$ |
$[0, 1, 0, -8631, -266070]$ |
\(y^2=x^3+x^2-8631x-266070\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 220.12.0.?, 280.12.0.?, $\ldots$ |
$[(371, 6909)]$ |
| 129360.hf3 |
129360df1 |
129360.hf |
129360df |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{10} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$9240$ |
$48$ |
$0$ |
$10.57607567$ |
$1$ |
|
$1$ |
$147456$ |
$1.000900$ |
$2508888064/396165$ |
$0.83256$ |
$3.06628$ |
$[0, 1, 0, -3495, 66660]$ |
\(y^2=x^3+x^2-3495x+66660\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 140.12.0.?, 280.24.0.?, $\ldots$ |
$[(37724/11, 7214220/11)]$ |
| 138600.ee3 |
138600dm1 |
138600.ee |
138600dm |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{7} \cdot 7^{4} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.381971$ |
$2508888064/396165$ |
$0.83256$ |
$3.43465$ |
$[0, 0, 0, -16050, -667375]$ |
\(y^2=x^3-16050x-667375\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 220.12.0.?, 280.12.0.?, $\ldots$ |
$[]$ |
| 194040.bw3 |
194040ba1 |
194040.bw |
194040ba |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 7^{10} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$3.614044020$ |
$1$ |
|
$5$ |
$589824$ |
$1.550207$ |
$2508888064/396165$ |
$0.83256$ |
$3.50554$ |
$[0, 0, 0, -31458, 1831277]$ |
\(y^2=x^3-31458x+1831277\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 280.12.0.?, 308.12.0.?, $\ldots$ |
$[(142, 477)]$ |
| 203280.i3 |
203280hc1 |
203280.i |
203280hc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 11^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$7.437861609$ |
$1$ |
|
$3$ |
$368640$ |
$1.226894$ |
$2508888064/396165$ |
$0.83256$ |
$3.17477$ |
$[0, -1, 0, -8631, 266070]$ |
\(y^2=x^3-x^2-8631x+266070\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 220.12.0.?, 280.12.0.?, $\ldots$ |
$[(26, 242), (-3299/6, 114103/6)]$ |
| 221760.m3 |
221760lw1 |
221760.m |
221760lw |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 5 \cdot 7^{4} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$9.045556112$ |
$1$ |
|
$5$ |
$196608$ |
$0.923825$ |
$2508888064/396165$ |
$0.83256$ |
$2.85687$ |
$[0, 0, 0, -2568, -42712]$ |
\(y^2=x^3-2568x-42712\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 168.12.0.?, $\ldots$ |
$[(-22, 56), (106, 936)]$ |
| 221760.fg3 |
221760db1 |
221760.fg |
221760db |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 5 \cdot 7^{4} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$0.850128168$ |
$1$ |
|
$7$ |
$196608$ |
$0.923825$ |
$2508888064/396165$ |
$0.83256$ |
$2.85687$ |
$[0, 0, 0, -2568, 42712]$ |
\(y^2=x^3-2568x+42712\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 168.12.0.?, $\ldots$ |
$[(17, 63)]$ |
| 277200.bf3 |
277200bf1 |
277200.bf |
277200bf |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{7} \cdot 7^{4} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.381971$ |
$2508888064/396165$ |
$0.83256$ |
$3.24468$ |
$[0, 0, 0, -16050, 667375]$ |
\(y^2=x^3-16050x+667375\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 220.12.0.?, 280.12.0.?, $\ldots$ |
$[]$ |
| 304920.ek3 |
304920ek1 |
304920.ek |
304920ek |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 7^{4} \cdot 11^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$9240$ |
$48$ |
$0$ |
$2.977083365$ |
$1$ |
|
$5$ |
$1474560$ |
$1.776199$ |
$2508888064/396165$ |
$0.83256$ |
$3.59482$ |
$[0, 0, 0, -77682, 7106209]$ |
\(y^2=x^3-77682x+7106209\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 280.24.0.?, 330.6.0.?, 660.24.0.?, $\ldots$ |
$[(-316, 315)]$ |
| 323400.gx3 |
323400gx1 |
323400.gx |
323400gx |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 5^{7} \cdot 7^{10} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1769472$ |
$1.805620$ |
$2508888064/396165$ |
$0.83256$ |
$3.60598$ |
$[0, 1, 0, -87383, -8507262]$ |
\(y^2=x^3+x^2-87383x-8507262\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 264.12.0.?, $\ldots$ |
$[]$ |
| 369600.cf3 |
369600cf1 |
369600.cf |
369600cf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 5^{7} \cdot 7^{4} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$9240$ |
$48$ |
$0$ |
$12.42775573$ |
$1$ |
|
$5$ |
$589824$ |
$1.179239$ |
$2508888064/396165$ |
$0.83256$ |
$2.98211$ |
$[0, -1, 0, -7133, -195363]$ |
\(y^2=x^3-x^2-7133x-195363\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 280.24.0.?, 330.6.0.?, $\ldots$ |
$[(-47, 184), (721, 19208)]$ |
| 369600.wn3 |
369600wn1 |
369600.wn |
369600wn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 5^{7} \cdot 7^{4} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.179239$ |
$2508888064/396165$ |
$0.83256$ |
$2.98211$ |
$[0, 1, 0, -7133, 195363]$ |
\(y^2=x^3+x^2-7133x+195363\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 280.24.0.?, 330.6.0.?, $\ldots$ |
$[]$ |
| 388080.br3 |
388080br1 |
388080.br |
388080br |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 7^{10} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$4.884175235$ |
$1$ |
|
$3$ |
$1179648$ |
$1.550207$ |
$2508888064/396165$ |
$0.83256$ |
$3.31673$ |
$[0, 0, 0, -31458, -1831277]$ |
\(y^2=x^3-31458x-1831277\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 280.12.0.?, 308.12.0.?, $\ldots$ |
$[(-69, 104)]$ |
