| 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.bd4 |
9240bg1 |
9240.bd |
9240bg |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 7^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1.843172719$ |
$1$ |
|
$3$ |
$46080$ |
$1.600645$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.75809$ |
$[0, 1, 0, -40591, 2778170]$ |
\(y^2=x^3+x^2-40591x+2778170\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.5, 168.24.0.?, $\ldots$ |
$[(211, 1911)]$ |
| 18480.e4 |
18480c1 |
18480.e |
18480c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 7^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$23.44799965$ |
$1$ |
|
$1$ |
$92160$ |
$1.600645$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.42239$ |
$[0, -1, 0, -40591, -2778170]$ |
\(y^2=x^3-x^2-40591x-2778170\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.5, 168.24.0.?, $\ldots$ |
$[(10229615046/6667, 38496975193924/6667)]$ |
| 27720.bn4 |
27720v1 |
27720.bn |
27720v |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 7^{12} \cdot 11 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$368640$ |
$2.149952$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.89146$ |
$[0, 0, 0, -365322, -75375911]$ |
\(y^2=x^3-365322x-75375911\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 330.6.0.?, 660.24.0.?, $\ldots$ |
$[]$ |
| 46200.i4 |
46200f1 |
46200.i |
46200f |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 5^{9} \cdot 7^{12} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$2.405365$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.94418$ |
$[0, -1, 0, -1014783, 349300812]$ |
\(y^2=x^3-x^2-1014783x+349300812\) |
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.?, $\ldots$ |
$[]$ |
| 55440.du4 |
55440bi1 |
55440.du |
55440bi |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 7^{12} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$737280$ |
$2.149952$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.58106$ |
$[0, 0, 0, -365322, 75375911]$ |
\(y^2=x^3-365322x+75375911\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 330.6.0.?, 660.24.0.?, $\ldots$ |
$[]$ |
| 64680.bc4 |
64680ch1 |
64680.bc |
64680ch |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 7^{18} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$9240$ |
$48$ |
$0$ |
$6.701205057$ |
$1$ |
|
$3$ |
$2211840$ |
$2.573601$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.97625$ |
$[0, -1, 0, -1988975, -956890248]$ |
\(y^2=x^3-x^2-1988975x-956890248\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(2569, 104315)]$ |
| 73920.dg4 |
73920br1 |
73920.dg |
73920br |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 5^{3} \cdot 7^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$0.841290864$ |
$1$ |
|
$3$ |
$737280$ |
$1.947218$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.24650$ |
$[0, -1, 0, -162365, 22387725]$ |
\(y^2=x^3-x^2-162365x+22387725\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0-4.c.1.4, 168.24.0.?, $\ldots$ |
$[(325, 1960)]$ |
| 73920.gy4 |
73920hv1 |
73920.gy |
73920hv |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 5^{3} \cdot 7^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$10.93915295$ |
$1$ |
|
$1$ |
$737280$ |
$1.947218$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.24650$ |
$[0, 1, 0, -162365, -22387725]$ |
\(y^2=x^3+x^2-162365x-22387725\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0-4.c.1.4, 168.24.0.?, $\ldots$ |
$[(229315/21, 54042920/21)]$ |
| 92400.gq4 |
92400cl1 |
92400.gq |
92400cl |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 5^{9} \cdot 7^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$4.252980518$ |
$1$ |
|
$1$ |
$2211840$ |
$2.405365$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.64446$ |
$[0, 1, 0, -1014783, -349300812]$ |
\(y^2=x^3+x^2-1014783x-349300812\) |
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.?, $\ldots$ |
$[(-6608/3, 19250/3)]$ |
| 101640.bm4 |
101640w1 |
101640.bm |
101640w |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 7^{12} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$16.00855555$ |
$1$ |
|
$1$ |
$5529600$ |
$2.799591$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$5.01639$ |
$[0, 1, 0, -4911551, -3717390426]$ |
\(y^2=x^3+x^2-4911551x-3717390426\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 132.12.0.?, 168.12.0.?, $\ldots$ |
$[(-161096835/326, 544493785803/326)]$ |
| 129360.fw4 |
129360cv1 |
129360.fw |
129360cv |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 7^{18} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4423680$ |
$2.573601$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.68321$ |
$[0, 1, 0, -1988975, 956890248]$ |
\(y^2=x^3+x^2-1988975x+956890248\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 138600.a4 |
138600bw1 |
138600.a |
138600bw |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{9} \cdot 7^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$13.09491880$ |
$1$ |
|
$1$ |
$8847360$ |
$2.954670$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$5.04216$ |
$[0, 0, 0, -9133050, -9421988875]$ |
\(y^2=x^3-9133050x-9421988875\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 132.12.0.?, 168.12.0.?, $\ldots$ |
$[(1571686/17, 1567183959/17)]$ |
| 194040.b4 |
194040dy1 |
194040.b |
194040dy |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 7^{18} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$14.44684383$ |
$1$ |
|
$1$ |
$17694720$ |
$3.122906$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$5.06863$ |
$[0, 0, 0, -17900778, 25853937473]$ |
\(y^2=x^3-17900778x+25853937473\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.2, 168.24.0.?, $\ldots$ |
$[(-3768911/28, 625460247/28)]$ |
| 203280.bh4 |
203280gq1 |
203280.bh |
203280gq |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 7^{12} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$6.296905531$ |
$1$ |
|
$1$ |
$11059200$ |
$2.799591$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.73190$ |
$[0, -1, 0, -4911551, 3717390426]$ |
\(y^2=x^3-x^2-4911551x+3717390426\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 132.12.0.?, 168.12.0.?, $\ldots$ |
$[(90514/5, 22838312/5)]$ |
| 221760.c4 |
221760fe1 |
221760.c |
221760fe |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 7^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$9240$ |
$48$ |
$0$ |
$5.101918037$ |
$1$ |
|
$3$ |
$5898240$ |
$2.496525$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.40300$ |
$[0, 0, 0, -1461288, 603007288]$ |
\(y^2=x^3-1461288x+603007288\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 168.24.0.?, 330.6.0.?, $\ldots$ |
$[(926, 6624)]$ |
| 221760.ez4 |
221760kg1 |
221760.ez |
221760kg |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 7^{12} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5898240$ |
$2.496525$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.40300$ |
$[0, 0, 0, -1461288, -603007288]$ |
\(y^2=x^3-1461288x-603007288\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 168.24.0.?, 330.6.0.?, $\ldots$ |
$[]$ |
| 277200.kx4 |
277200kx1 |
277200.kx |
277200kx |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{9} \cdot 7^{12} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$17694720$ |
$2.954670$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.76328$ |
$[0, 0, 0, -9133050, 9421988875]$ |
\(y^2=x^3-9133050x+9421988875\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 132.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
| 304920.ct4 |
304920ct1 |
304920.ct |
304920ct |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 7^{12} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$3.621051645$ |
$1$ |
|
$3$ |
$44236800$ |
$3.348900$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$5.10196$ |
$[0, 0, 0, -44203962, 100325337541]$ |
\(y^2=x^3-44203962x+100325337541\) |
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.?, $\ldots$ |
$[(2222, 114345)]$ |
| 323400.js4 |
323400js1 |
323400.js |
323400js |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 5^{9} \cdot 7^{18} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$25$ |
$5$ |
$1$ |
$53084160$ |
$3.378319$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$5.10613$ |
$[0, 1, 0, -49724383, -119710729762]$ |
\(y^2=x^3+x^2-49724383x-119710729762\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 168.12.0.?, 264.12.0.?, $\ldots$ |
$[]$ |
| 369600.lq4 |
369600lq1 |
369600.lq |
369600lq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 5^{9} \cdot 7^{12} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$17694720$ |
$2.751938$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.46663$ |
$[0, -1, 0, -4059133, -2790347363]$ |
\(y^2=x^3-x^2-4059133x-2790347363\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
| 369600.oe4 |
369600oe1 |
369600.oe |
369600oe |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 5^{9} \cdot 7^{12} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$17694720$ |
$2.751938$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.46663$ |
$[0, 1, 0, -4059133, 2790347363]$ |
\(y^2=x^3+x^2-4059133x+2790347363\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
| 388080.ef4 |
388080ef1 |
388080.ef |
388080ef |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 7^{18} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$35389440$ |
$3.122906$ |
$462278484549842944/57095309704125$ |
$0.98960$ |
$4.79562$ |
$[0, 0, 0, -17900778, -25853937473]$ |
\(y^2=x^3-17900778x-25853937473\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.1, 168.24.0.?, $\ldots$ |
$[]$ |
