| 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 |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
| 3360.c1 |
3360c2 |
3360.c |
3360c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{5} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$13.63474553$ |
$1$ |
|
$1$ |
$15360$ |
$1.510258$ |
$864335783029582144/59535$ |
$[0, -1, 0, -317521, -68760575]$ |
\(y^2=x^3-x^2-317521x-68760575\) |
| 3360.p1 |
3360k3 |
3360.p |
3360k |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{5} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$0.788299841$ |
$1$ |
|
$5$ |
$15360$ |
$1.510258$ |
$864335783029582144/59535$ |
$[0, 1, 0, -317521, 68760575]$ |
\(y^2=x^3+x^2-317521x+68760575\) |
| 6720.bg3 |
6720bu1 |
6720.bg |
6720bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{5} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1$ |
$4$ |
$2$ |
$1$ |
$15360$ |
$1.163683$ |
$864335783029582144/59535$ |
$[0, -1, 0, -79380, 8634762]$ |
\(y^2=x^3-x^2-79380x+8634762\) |
| 6720.ca3 |
6720ci1 |
6720.ca |
6720ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{5} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1$ |
$4$ |
$2$ |
$1$ |
$15360$ |
$1.163683$ |
$864335783029582144/59535$ |
$[0, 1, 0, -79380, -8634762]$ |
\(y^2=x^3+x^2-79380x-8634762\) |
| 10080.be1 |
10080bz3 |
10080.be |
10080bz |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{11} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1$ |
$1$ |
|
$3$ |
$122880$ |
$2.059563$ |
$864335783029582144/59535$ |
$[0, 0, 0, -2857692, 1859393216]$ |
\(y^2=x^3-2857692x+1859393216\) |
| 10080.cd1 |
10080cd2 |
10080.cd |
10080cd |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{11} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$10.55742616$ |
$1$ |
|
$1$ |
$122880$ |
$2.059563$ |
$864335783029582144/59535$ |
$[0, 0, 0, -2857692, -1859393216]$ |
\(y^2=x^3-2857692x-1859393216\) |
| 16800.c1 |
16800bf3 |
16800.c |
16800bf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{5} \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1$ |
$1$ |
|
$3$ |
$368640$ |
$2.314976$ |
$864335783029582144/59535$ |
$[0, -1, 0, -7938033, 8610947937]$ |
\(y^2=x^3-x^2-7938033x+8610947937\) |
| 16800.cb1 |
16800bz2 |
16800.cb |
16800bz |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{5} \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$2.314976$ |
$864335783029582144/59535$ |
$[0, 1, 0, -7938033, -8610947937]$ |
\(y^2=x^3+x^2-7938033x-8610947937\) |
| 20160.bi3 |
20160dw1 |
20160.bi |
20160dw |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{11} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$6.412242929$ |
$1$ |
|
$3$ |
$122880$ |
$1.712990$ |
$864335783029582144/59535$ |
$[0, 0, 0, -714423, 232424152]$ |
\(y^2=x^3-714423x+232424152\) |
| 20160.bq3 |
20160ej1 |
20160.bq |
20160ej |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{11} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1$ |
$4$ |
$2$ |
$1$ |
$122880$ |
$1.712990$ |
$864335783029582144/59535$ |
$[0, 0, 0, -714423, -232424152]$ |
\(y^2=x^3-714423x-232424152\) |
| 23520.q1 |
23520k4 |
23520.q |
23520k |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{5} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$30.37748389$ |
$1$ |
|
$1$ |
$737280$ |
$2.483212$ |
$864335783029582144/59535$ |
$[0, -1, 0, -15558545, -23615994303]$ |
\(y^2=x^3-x^2-15558545x-23615994303\) |
| 23520.bx1 |
23520w4 |
23520.bx |
23520w |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{5} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$2.483212$ |
$864335783029582144/59535$ |
$[0, 1, 0, -15558545, 23615994303]$ |
\(y^2=x^3+x^2-15558545x+23615994303\) |
| 33600.co3 |
33600fd1 |
33600.co |
33600fd |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{5} \cdot 5^{7} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$7.438877373$ |
$4$ |
$2$ |
$3$ |
$368640$ |
$1.968403$ |
$864335783029582144/59535$ |
$[0, -1, 0, -1984508, -1075376238]$ |
\(y^2=x^3-x^2-1984508x-1075376238\) |
| 33600.ey3 |
33600gf1 |
33600.ey |
33600gf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{5} \cdot 5^{7} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2.076368078$ |
$1$ |
|
$5$ |
$368640$ |
$1.968403$ |
$864335783029582144/59535$ |
$[0, 1, 0, -1984508, 1075376238]$ |
\(y^2=x^3+x^2-1984508x+1075376238\) |
| 47040.d3 |
47040eq1 |
47040.d |
47040eq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{5} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5.407783957$ |
$1$ |
|
$3$ |
$737280$ |
$2.136639$ |
$864335783029582144/59535$ |
$[0, -1, 0, -3889636, 2953944106]$ |
\(y^2=x^3-x^2-3889636x+2953944106\) |
| 47040.ff3 |
47040gh1 |
47040.ff |
47040gh |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{5} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$4$ |
$2$ |
$1$ |
$737280$ |
$2.136639$ |
$864335783029582144/59535$ |
$[0, 1, 0, -3889636, -2953944106]$ |
\(y^2=x^3+x^2-3889636x-2953944106\) |
| 50400.cb1 |
50400ba4 |
50400.cb |
50400ba |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{11} \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$1$ |
$9$ |
$3$ |
$1$ |
$2949120$ |
$2.864281$ |
$864335783029582144/59535$ |
$[0, 0, 0, -71442300, -232424152000]$ |
\(y^2=x^3-71442300x-232424152000\) |
| 50400.cp1 |
50400bs4 |
50400.cp |
50400bs |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{11} \cdot 5^{7} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$6.732400753$ |
$1$ |
|
$1$ |
$2949120$ |
$2.864281$ |
$864335783029582144/59535$ |
$[0, 0, 0, -71442300, 232424152000]$ |
\(y^2=x^3-71442300x+232424152000\) |
| 70560.l1 |
70560do4 |
70560.l |
70560do |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{11} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$9$ |
$3$ |
$1$ |
$5898240$ |
$3.032516$ |
$864335783029582144/59535$ |
$[0, 0, 0, -140026908, -637771873088]$ |
\(y^2=x^3-140026908x-637771873088\) |
| 70560.cb1 |
70560dh4 |
70560.cb |
70560dh |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{11} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$5898240$ |
$3.032516$ |
$864335783029582144/59535$ |
$[0, 0, 0, -140026908, 637771873088]$ |
\(y^2=x^3-140026908x+637771873088\) |
| 100800.q3 |
100800mh1 |
100800.q |
100800mh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{11} \cdot 5^{7} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$17.38760528$ |
$1$ |
|
$1$ |
$2949120$ |
$2.517708$ |
$864335783029582144/59535$ |
$[0, 0, 0, -17860575, -29053019000]$ |
\(y^2=x^3-17860575x-29053019000\) |
| 100800.os3 |
100800nu1 |
100800.os |
100800nu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{11} \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$2.517708$ |
$864335783029582144/59535$ |
$[0, 0, 0, -17860575, 29053019000]$ |
\(y^2=x^3-17860575x+29053019000\) |
| 117600.dh1 |
117600fe4 |
117600.dh |
117600fe |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{5} \cdot 5^{7} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4.536448310$ |
$1$ |
|
$3$ |
$17694720$ |
$3.287930$ |
$864335783029582144/59535$ |
$[0, -1, 0, -388963633, 2952777215137]$ |
\(y^2=x^3-x^2-388963633x+2952777215137\) |
| 117600.en1 |
117600hh4 |
117600.en |
117600hh |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{5} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$17694720$ |
$3.287930$ |
$864335783029582144/59535$ |
$[0, 1, 0, -388963633, -2952777215137]$ |
\(y^2=x^3+x^2-388963633x-2952777215137\) |
| 141120.it3 |
141120e1 |
141120.it |
141120e |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{11} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10.17227676$ |
$1$ |
|
$1$ |
$5898240$ |
$2.685944$ |
$864335783029582144/59535$ |
$[0, 0, 0, -35006727, 79721484136]$ |
\(y^2=x^3-35006727x+79721484136\) |
| 141120.or3 |
141120bz1 |
141120.or |
141120bz |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{11} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$33.43641697$ |
$1$ |
|
$1$ |
$5898240$ |
$2.685944$ |
$864335783029582144/59535$ |
$[0, 0, 0, -35006727, -79721484136]$ |
\(y^2=x^3-35006727x-79721484136\) |
| 235200.nf3 |
235200nf1 |
235200.nf |
235200nf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{5} \cdot 5^{7} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$42.82874977$ |
$1$ |
|
$1$ |
$17694720$ |
$2.941357$ |
$864335783029582144/59535$ |
$[0, -1, 0, -97240908, -369048531438]$ |
\(y^2=x^3-x^2-97240908x-369048531438\) |
| 235200.re3 |
235200re1 |
235200.re |
235200re |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{5} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$17694720$ |
$2.941357$ |
$864335783029582144/59535$ |
$[0, 1, 0, -97240908, 369048531438]$ |
\(y^2=x^3+x^2-97240908x+369048531438\) |
| 352800.bg1 |
352800bg4 |
352800.bg |
352800bg |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{11} \cdot 5^{7} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6.631051010$ |
$1$ |
|
$3$ |
$141557760$ |
$3.837238$ |
$864335783029582144/59535$ |
$[0, 0, 0, -3500672700, -79721484136000]$ |
\(y^2=x^3-3500672700x-79721484136000\) |
| 352800.mf1 |
352800mf2 |
352800.mf |
352800mf |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{11} \cdot 5^{7} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4.931421976$ |
$1$ |
|
$1$ |
$141557760$ |
$3.837238$ |
$864335783029582144/59535$ |
$[0, 0, 0, -3500672700, 79721484136000]$ |
\(y^2=x^3-3500672700x+79721484136000\) |
| 406560.bp1 |
406560bp2 |
406560.bp |
406560bp |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{5} \cdot 5 \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$19660800$ |
$2.709206$ |
$864335783029582144/59535$ |
$[0, -1, 0, -38420081, 91674005601]$ |
\(y^2=x^3-x^2-38420081x+91674005601\) |
| 406560.dw1 |
406560dw4 |
406560.dw |
406560dw |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{5} \cdot 5 \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$19660800$ |
$2.709206$ |
$864335783029582144/59535$ |
$[0, 1, 0, -38420081, -91674005601]$ |
\(y^2=x^3+x^2-38420081x-91674005601\) |
| 705600.iy3 |
- |
705600.iy |
- |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{11} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$141557760$ |
$3.490665$ |
$864335783029582144/59535$ |
$[0, 0, 0, -875168175, 9965185517000]$ |
\(y^2=x^3-875168175x+9965185517000\) |
| 705600.byg3 |
- |
705600.byg |
- |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{11} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$16$ |
$2$ |
$1$ |
$141557760$ |
$3.490665$ |
$864335783029582144/59535$ |
$[0, 0, 0, -875168175, -9965185517000]$ |
\(y^2=x^3-875168175x-9965185517000\) |
