| 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 |
| 10780.e2 |
10780e1 |
10780.e |
10780e |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$420$ |
$16$ |
$0$ |
$0.528529772$ |
$1$ |
|
$4$ |
$3456$ |
$0.275762$ |
$16674224/15125$ |
$0.77919$ |
$2.80723$ |
$[0, -1, 0, 124, -440]$ |
\(y^2=x^3-x^2+124x-440\) |
3.4.0.a.1, 20.2.0.a.1, 21.8.0-3.a.1.1, 60.8.0.a.1, 420.16.0.? |
$[(6, 22)]$ |
| 10780.i2 |
10780k1 |
10780.i |
10780k |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 5^{3} \cdot 7^{8} \cdot 11^{2} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$60$ |
$16$ |
$0$ |
$2.048129789$ |
$1$ |
|
$4$ |
$24192$ |
$1.248716$ |
$16674224/15125$ |
$0.77919$ |
$4.06462$ |
$[0, 1, 0, 6060, 138788]$ |
\(y^2=x^3+x^2+6060x+138788\) |
3.8.0-3.a.1.2, 20.2.0.a.1, 60.16.0-60.a.1.8 |
$[(136, 1870)]$ |
| 43120.bc2 |
43120cg1 |
43120.bc |
43120cg |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 5^{3} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$1.248716$ |
$16674224/15125$ |
$0.77919$ |
$3.53661$ |
$[0, -1, 0, 6060, -138788]$ |
\(y^2=x^3-x^2+6060x-138788\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 20.2.0.a.1, 30.8.0-3.a.1.1, 60.16.0-60.a.1.4 |
$[]$ |
| 43120.cc2 |
43120br1 |
43120.cc |
43120br |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$420$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13824$ |
$0.275762$ |
$16674224/15125$ |
$0.77919$ |
$2.44256$ |
$[0, 1, 0, 124, 440]$ |
\(y^2=x^3+x^2+124x+440\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 84.8.0.?, 210.8.0.?, $\ldots$ |
$[]$ |
| 53900.l2 |
53900b1 |
53900.l |
53900b |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 5^{9} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$580608$ |
$2.053436$ |
$16674224/15125$ |
$0.77919$ |
$4.35052$ |
$[0, -1, 0, 151492, 17045512]$ |
\(y^2=x^3-x^2+151492x+17045512\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 15.8.0-3.a.1.2, 20.2.0.a.1, 60.16.0-60.a.1.7 |
$[]$ |
| 53900.z2 |
53900i1 |
53900.z |
53900i |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 5^{9} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$420$ |
$16$ |
$0$ |
$3.925314363$ |
$1$ |
|
$0$ |
$82944$ |
$1.080481$ |
$16674224/15125$ |
$0.77919$ |
$3.27888$ |
$[0, 1, 0, 3092, -48812]$ |
\(y^2=x^3+x^2+3092x-48812\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 84.8.0.?, 105.8.0.?, $\ldots$ |
$[(717/2, 20075/2)]$ |
| 97020.v2 |
97020bf1 |
97020.v |
97020bf |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$725760$ |
$1.798023$ |
$16674224/15125$ |
$0.77919$ |
$3.86090$ |
$[0, 0, 0, 54537, -3692738]$ |
\(y^2=x^3+54537x-3692738\) |
3.8.0-3.a.1.1, 20.2.0.a.1, 60.16.0-60.a.1.5 |
$[]$ |
| 97020.cx2 |
97020cx1 |
97020.cx |
97020cx |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$420$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$0.825068$ |
$16674224/15125$ |
$0.77919$ |
$2.84412$ |
$[0, 0, 0, 1113, 10766]$ |
\(y^2=x^3+1113x+10766\) |
3.4.0.a.1, 20.2.0.a.1, 21.8.0-3.a.1.2, 60.8.0.a.1, 420.16.0.? |
$[]$ |
| 118580.h2 |
118580i1 |
118580.h |
118580i |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 7^{2} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4620$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$414720$ |
$1.474710$ |
$16674224/15125$ |
$0.77919$ |
$3.46251$ |
$[0, -1, 0, 14964, 525736]$ |
\(y^2=x^3-x^2+14964x+525736\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 231.8.0.?, 4620.16.0.? |
$[]$ |
| 118580.y2 |
118580q1 |
118580.y |
118580q |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 7^{8} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$660$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2903040$ |
$2.447666$ |
$16674224/15125$ |
$0.77919$ |
$4.46184$ |
$[0, 1, 0, 733220, -181793900]$ |
\(y^2=x^3+x^2+733220x-181793900\) |
3.4.0.a.1, 20.2.0.a.1, 33.8.0-3.a.1.2, 60.8.0.a.1, 660.16.0.? |
$[]$ |
| 172480.ce2 |
172480fg1 |
172480.ce |
172480fg |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{14} \cdot 5^{3} \cdot 7^{8} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1.438533487$ |
$1$ |
|
$12$ |
$774144$ |
$1.595291$ |
$16674224/15125$ |
$0.77919$ |
$3.47492$ |
$[0, -1, 0, 24239, 1086065]$ |
\(y^2=x^3-x^2+24239x+1086065\) |
3.4.0.a.1, 20.2.0.a.1, 24.8.0-3.a.1.2, 60.8.0.a.1, 120.16.0.? |
$[(229, 4312), (131, 2548)]$ |
| 172480.ci2 |
172480w1 |
172480.ci |
172480w |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{14} \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1.089212605$ |
$1$ |
|
$10$ |
$110592$ |
$0.622335$ |
$16674224/15125$ |
$0.77919$ |
$2.50665$ |
$[0, -1, 0, 495, 3025]$ |
\(y^2=x^3-x^2+495x+3025\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 168.8.0.?, 840.16.0.? |
$[(0, 55), (55, 440)]$ |
| 172480.fe2 |
172480dd1 |
172480.fe |
172480dd |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{14} \cdot 5^{3} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$774144$ |
$1.595291$ |
$16674224/15125$ |
$0.77919$ |
$3.47492$ |
$[0, 1, 0, 24239, -1086065]$ |
\(y^2=x^3+x^2+24239x-1086065\) |
3.4.0.a.1, 20.2.0.a.1, 24.8.0-3.a.1.4, 60.8.0.a.1, 120.16.0.? |
$[]$ |
| 172480.fy2 |
172480gm1 |
172480.fy |
172480gm |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{14} \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$0.944996740$ |
$1$ |
|
$10$ |
$110592$ |
$0.622335$ |
$16674224/15125$ |
$0.77919$ |
$2.50665$ |
$[0, 1, 0, 495, -3025]$ |
\(y^2=x^3+x^2+495x-3025\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 168.8.0.?, 840.16.0.? |
$[(55, 440), (55/3, 440/3)]$ |
| 215600.cl2 |
215600bm1 |
215600.cl |
215600bm |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 5^{9} \cdot 7^{2} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$420$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$331776$ |
$1.080481$ |
$16674224/15125$ |
$0.77919$ |
$2.90876$ |
$[0, -1, 0, 3092, 48812]$ |
\(y^2=x^3-x^2+3092x+48812\) |
3.4.0.a.1, 20.2.0.a.1, 42.8.0-3.a.1.2, 60.8.0.a.1, 420.16.0.? |
$[]$ |
| 215600.gf2 |
215600ef1 |
215600.gf |
215600ef |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 5^{9} \cdot 7^{8} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$2.107012740$ |
$1$ |
|
$2$ |
$2322432$ |
$2.053436$ |
$16674224/15125$ |
$0.77919$ |
$3.85944$ |
$[0, 1, 0, 151492, -17045512]$ |
\(y^2=x^3+x^2+151492x-17045512\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 20.2.0.a.1, 60.16.0-60.a.1.3 |
$[(143, 2750)]$ |
| 388080.s2 |
388080s1 |
388080.s |
388080s |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 7^{8} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$6.043744828$ |
$1$ |
|
$0$ |
$2903040$ |
$1.798023$ |
$16674224/15125$ |
$0.77919$ |
$3.44499$ |
$[0, 0, 0, 54537, 3692738]$ |
\(y^2=x^3+54537x+3692738\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 20.2.0.a.1, 30.8.0-3.a.1.2, 60.16.0-60.a.1.1 |
$[(569/2, 30283/2)]$ |
| 388080.ky2 |
388080ky1 |
388080.ky |
388080ky |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$420$ |
$16$ |
$0$ |
$2.815547406$ |
$1$ |
|
$0$ |
$414720$ |
$0.825068$ |
$16674224/15125$ |
$0.77919$ |
$2.53774$ |
$[0, 0, 0, 1113, -10766]$ |
\(y^2=x^3+1113x-10766\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 84.8.0.?, 210.8.0.?, $\ldots$ |
$[(57/2, 715/2)]$ |
| 474320.dr2 |
474320dr1 |
474320.dr |
474320dr |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 7^{8} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$660$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11612160$ |
$2.447666$ |
$16674224/15125$ |
$0.77919$ |
$3.98857$ |
$[0, -1, 0, 733220, 181793900]$ |
\(y^2=x^3-x^2+733220x+181793900\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 132.8.0.?, 330.8.0.?, $\ldots$ |
$[]$ |
| 474320.gf2 |
474320gf1 |
474320.gf |
474320gf |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 7^{2} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4620$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1658880$ |
$1.474710$ |
$16674224/15125$ |
$0.77919$ |
$3.09525$ |
$[0, 1, 0, 14964, -525736]$ |
\(y^2=x^3+x^2+14964x-525736\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 924.8.0.?, 2310.8.0.?, $\ldots$ |
$[]$ |
| 485100.eh2 |
485100eh1 |
485100.eh |
485100eh |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$420$ |
$16$ |
$0$ |
$0.670583189$ |
$1$ |
|
$6$ |
$2488320$ |
$1.629787$ |
$16674224/15125$ |
$0.77919$ |
$3.23207$ |
$[0, 0, 0, 27825, 1345750]$ |
\(y^2=x^3+27825x+1345750\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 84.8.0.?, 105.8.0.?, $\ldots$ |
$[(135, 2750)]$ |
| 485100.ie2 |
485100ie1 |
485100.ie |
485100ie |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17418240$ |
$2.602741$ |
$16674224/15125$ |
$0.77919$ |
$4.12387$ |
$[0, 0, 0, 1363425, -461592250]$ |
\(y^2=x^3+1363425x-461592250\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 15.8.0-3.a.1.1, 20.2.0.a.1, 60.16.0-60.a.1.6 |
$[]$ |
