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.c2 |
3360c3 |
3360.c |
3360c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{20} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3.408686384$ |
$1$ |
|
$3$ |
$15360$ |
$1.510258$ |
$2394165105226952/854262178245$ |
$[0, -1, 0, -22296, -786060]$ |
\(y^2=x^3-x^2-22296x-786060\) |
3360.p2 |
3360k2 |
3360.p |
3360k |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{20} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$0.788299841$ |
$1$ |
|
$5$ |
$15360$ |
$1.510258$ |
$2394165105226952/854262178245$ |
$[0, 1, 0, -22296, 786060]$ |
\(y^2=x^3+x^2-22296x+786060\) |
6720.bg1 |
6720bu3 |
6720.bg |
6720bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 3^{20} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1$ |
$4$ |
$2$ |
$1$ |
$61440$ |
$1.856831$ |
$2394165105226952/854262178245$ |
$[0, -1, 0, -89185, 6377665]$ |
\(y^2=x^3-x^2-89185x+6377665\) |
6720.ca1 |
6720ci3 |
6720.ca |
6720ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 3^{20} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1$ |
$1$ |
|
$3$ |
$61440$ |
$1.856831$ |
$2394165105226952/854262178245$ |
$[0, 1, 0, -89185, -6377665]$ |
\(y^2=x^3+x^2-89185x-6377665\) |
10080.be2 |
10080bz2 |
10080.be |
10080bz |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{26} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$2.059563$ |
$2394165105226952/854262178245$ |
$[0, 0, 0, -200667, 21424286]$ |
\(y^2=x^3-200667x+21424286\) |
10080.cd2 |
10080cd3 |
10080.cd |
10080cd |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{26} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$10.55742616$ |
$1$ |
|
$1$ |
$122880$ |
$2.059563$ |
$2394165105226952/854262178245$ |
$[0, 0, 0, -200667, -21424286]$ |
\(y^2=x^3-200667x-21424286\) |
16800.c2 |
16800bf2 |
16800.c |
16800bf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{20} \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$2.314976$ |
$2394165105226952/854262178245$ |
$[0, -1, 0, -557408, 99372312]$ |
\(y^2=x^3-x^2-557408x+99372312\) |
16800.cb2 |
16800bz3 |
16800.cb |
16800bz |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{20} \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1$ |
$1$ |
|
$3$ |
$368640$ |
$2.314976$ |
$2394165105226952/854262178245$ |
$[0, 1, 0, -557408, -99372312]$ |
\(y^2=x^3+x^2-557408x-99372312\) |
20160.bi1 |
20160dw3 |
20160.bi |
20160dw |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 3^{26} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$6.412242929$ |
$1$ |
|
$3$ |
$491520$ |
$2.406136$ |
$2394165105226952/854262178245$ |
$[0, 0, 0, -802668, 171394288]$ |
\(y^2=x^3-802668x+171394288\) |
20160.bq1 |
20160ej3 |
20160.bq |
20160ej |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 3^{26} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$2.406136$ |
$2394165105226952/854262178245$ |
$[0, 0, 0, -802668, -171394288]$ |
\(y^2=x^3-802668x-171394288\) |
23520.q2 |
23520k3 |
23520.q |
23520k |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{20} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$30.37748389$ |
$1$ |
|
$1$ |
$737280$ |
$2.483212$ |
$2394165105226952/854262178245$ |
$[0, -1, 0, -1092520, -271803608]$ |
\(y^2=x^3-x^2-1092520x-271803608\) |
23520.bx2 |
23520w3 |
23520.bx |
23520w |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{20} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$2.483212$ |
$2394165105226952/854262178245$ |
$[0, 1, 0, -1092520, 271803608]$ |
\(y^2=x^3+x^2-1092520x+271803608\) |
33600.co1 |
33600fd4 |
33600.co |
33600fd |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{15} \cdot 3^{20} \cdot 5^{7} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$7.438877373$ |
$1$ |
|
$1$ |
$1474560$ |
$2.661549$ |
$2394165105226952/854262178245$ |
$[0, -1, 0, -2229633, -792748863]$ |
\(y^2=x^3-x^2-2229633x-792748863\) |
33600.ey1 |
33600gf4 |
33600.ey |
33600gf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{15} \cdot 3^{20} \cdot 5^{7} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$0.519092019$ |
$1$ |
|
$11$ |
$1474560$ |
$2.661549$ |
$2394165105226952/854262178245$ |
$[0, 1, 0, -2229633, 792748863]$ |
\(y^2=x^3+x^2-2229633x+792748863\) |
47040.d1 |
47040eq4 |
47040.d |
47040eq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{20} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5.407783957$ |
$1$ |
|
$3$ |
$2949120$ |
$2.829784$ |
$2394165105226952/854262178245$ |
$[0, -1, 0, -4370081, 2178798945]$ |
\(y^2=x^3-x^2-4370081x+2178798945\) |
47040.ff1 |
47040gh4 |
47040.ff |
47040gh |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{20} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$2.829784$ |
$2394165105226952/854262178245$ |
$[0, 1, 0, -4370081, -2178798945]$ |
\(y^2=x^3+x^2-4370081x-2178798945\) |
50400.cb2 |
50400ba3 |
50400.cb |
50400ba |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{26} \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$1$ |
$9$ |
$3$ |
$1$ |
$2949120$ |
$2.864281$ |
$2394165105226952/854262178245$ |
$[0, 0, 0, -5016675, -2678035750]$ |
\(y^2=x^3-5016675x-2678035750\) |
50400.cp2 |
50400bs3 |
50400.cp |
50400bs |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{26} \cdot 5^{7} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$6.732400753$ |
$1$ |
|
$3$ |
$2949120$ |
$2.864281$ |
$2394165105226952/854262178245$ |
$[0, 0, 0, -5016675, 2678035750]$ |
\(y^2=x^3-5016675x+2678035750\) |
70560.l2 |
70560do3 |
70560.l |
70560do |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{26} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$9$ |
$3$ |
$1$ |
$5898240$ |
$3.032516$ |
$2394165105226952/854262178245$ |
$[0, 0, 0, -9832683, -7348530098]$ |
\(y^2=x^3-9832683x-7348530098\) |
70560.cb2 |
70560dh3 |
70560.cb |
70560dh |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{26} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$16$ |
$2$ |
$1$ |
$5898240$ |
$3.032516$ |
$2394165105226952/854262178245$ |
$[0, 0, 0, -9832683, 7348530098]$ |
\(y^2=x^3-9832683x+7348530098\) |
100800.q1 |
100800mh4 |
100800.q |
100800mh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{15} \cdot 3^{26} \cdot 5^{7} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$4.346901322$ |
$1$ |
|
$3$ |
$11796480$ |
$3.210857$ |
$2394165105226952/854262178245$ |
$[0, 0, 0, -20066700, -21424286000]$ |
\(y^2=x^3-20066700x-21424286000\) |
100800.os1 |
100800nu4 |
100800.os |
100800nu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{15} \cdot 3^{26} \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$1$ |
$1$ |
|
$1$ |
$11796480$ |
$3.210857$ |
$2394165105226952/854262178245$ |
$[0, 0, 0, -20066700, 21424286000]$ |
\(y^2=x^3-20066700x+21424286000\) |
117600.dh2 |
117600fe3 |
117600.dh |
117600fe |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{20} \cdot 5^{7} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$18.14579324$ |
$1$ |
|
$1$ |
$17694720$ |
$3.287930$ |
$2394165105226952/854262178245$ |
$[0, -1, 0, -27313008, 34030077012]$ |
\(y^2=x^3-x^2-27313008x+34030077012\) |
117600.en2 |
117600hh3 |
117600.en |
117600hh |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{20} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$17694720$ |
$3.287930$ |
$2394165105226952/854262178245$ |
$[0, 1, 0, -27313008, -34030077012]$ |
\(y^2=x^3+x^2-27313008x-34030077012\) |
141120.it1 |
141120e4 |
141120.it |
141120e |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{26} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10.17227676$ |
$1$ |
|
$1$ |
$23592960$ |
$3.379093$ |
$2394165105226952/854262178245$ |
$[0, 0, 0, -39330732, 58788240784]$ |
\(y^2=x^3-39330732x+58788240784\) |
141120.or1 |
141120bz3 |
141120.or |
141120bz |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{26} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$33.43641697$ |
$1$ |
|
$1$ |
$23592960$ |
$3.379093$ |
$2394165105226952/854262178245$ |
$[0, 0, 0, -39330732, -58788240784]$ |
\(y^2=x^3-39330732x-58788240784\) |
235200.nf1 |
235200nf3 |
235200.nf |
235200nf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{20} \cdot 5^{7} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10.70718744$ |
$1$ |
|
$1$ |
$70778880$ |
$3.634506$ |
$2394165105226952/854262178245$ |
$[0, -1, 0, -109252033, -272131364063]$ |
\(y^2=x^3-x^2-109252033x-272131364063\) |
235200.re1 |
235200re4 |
235200.re |
235200re |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{20} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$70778880$ |
$3.634506$ |
$2394165105226952/854262178245$ |
$[0, 1, 0, -109252033, 272131364063]$ |
\(y^2=x^3+x^2-109252033x+272131364063\) |
352800.bg2 |
352800bg2 |
352800.bg |
352800bg |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{26} \cdot 5^{7} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6.631051010$ |
$1$ |
|
$3$ |
$141557760$ |
$3.837238$ |
$2394165105226952/854262178245$ |
$[0, 0, 0, -245817075, -918566262250]$ |
\(y^2=x^3-245817075x-918566262250\) |
352800.mf2 |
352800mf4 |
352800.mf |
352800mf |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{26} \cdot 5^{7} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19.72568790$ |
$1$ |
|
$1$ |
$141557760$ |
$3.837238$ |
$2394165105226952/854262178245$ |
$[0, 0, 0, -245817075, 918566262250]$ |
\(y^2=x^3-245817075x+918566262250\) |
406560.bp2 |
406560bp4 |
406560.bp |
406560bp |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{20} \cdot 5 \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$4$ |
$2$ |
$1$ |
$19660800$ |
$2.709206$ |
$2394165105226952/854262178245$ |
$[0, -1, 0, -2697856, 1057037236]$ |
\(y^2=x^3-x^2-2697856x+1057037236\) |
406560.dw2 |
406560dw2 |
406560.dw |
406560dw |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{20} \cdot 5 \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$19660800$ |
$2.709206$ |
$2394165105226952/854262178245$ |
$[0, 1, 0, -2697856, -1057037236]$ |
\(y^2=x^3+x^2-2697856x-1057037236\) |
705600.iy1 |
- |
705600.iy |
- |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{26} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$4$ |
$2$ |
$1$ |
$566231040$ |
$4.183807$ |
$2394165105226952/854262178245$ |
$[0, 0, 0, -983268300, 7348530098000]$ |
\(y^2=x^3-983268300x+7348530098000\) |
705600.byg1 |
- |
705600.byg |
- |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{26} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$4$ |
$2$ |
$1$ |
$566231040$ |
$4.183807$ |
$2394165105226952/854262178245$ |
$[0, 0, 0, -983268300, -7348530098000]$ |
\(y^2=x^3-983268300x-7348530098000\) |