| 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 |
| 3315.a3 |
3315b1 |
3315.a |
3315b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 3^{4} \cdot 5 \cdot 13 \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1.356343459$ |
$1$ |
|
$13$ |
$448$ |
$-0.288192$ |
$1948441249/89505$ |
$0.80465$ |
$2.63875$ |
$[1, 1, 1, -26, 38]$ |
\(y^2+xy+y=x^3+x^2-26x+38\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 68.12.0-4.c.1.2, 260.12.0.?, $\ldots$ |
$[(-6, 7), (4, 2)]$ |
| 9945.h3 |
9945k1 |
9945.h |
9945k |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( 3^{10} \cdot 5 \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$26520$ |
$48$ |
$0$ |
$4.135434717$ |
$1$ |
|
$3$ |
$3584$ |
$0.261114$ |
$1948441249/89505$ |
$0.80465$ |
$3.03992$ |
$[1, -1, 0, -234, -1265]$ |
\(y^2+xy=x^3-x^2-234x-1265\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 204.12.0.?, 408.24.0.?, $\ldots$ |
$[(54, 349)]$ |
| 16575.j3 |
16575h1 |
16575.j |
16575h |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{4} \cdot 5^{7} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$2.526588545$ |
$1$ |
|
$3$ |
$10752$ |
$0.516527$ |
$1948441249/89505$ |
$0.80465$ |
$3.19556$ |
$[1, 0, 1, -651, 6073]$ |
\(y^2+xy+y=x^3-651x+6073\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.2, 120.12.0.?, 340.12.0.?, $\ldots$ |
$[(-19, 117)]$ |
| 43095.n3 |
43095f1 |
43095.n |
43095f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 3^{4} \cdot 5 \cdot 13^{7} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$75264$ |
$0.994283$ |
$1948441249/89505$ |
$0.80465$ |
$3.44667$ |
$[1, 1, 0, -4397, 105864]$ |
\(y^2+xy=x^3+x^2-4397x+105864\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 312.12.0.?, 408.12.0.?, $\ldots$ |
$[]$ |
| 49725.k3 |
49725f1 |
49725.k |
49725f |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{10} \cdot 5^{7} \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$86016$ |
$1.065832$ |
$1948441249/89505$ |
$0.80465$ |
$3.48046$ |
$[1, -1, 1, -5855, -163978]$ |
\(y^2+xy+y=x^3-x^2-5855x-163978\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 156.12.0.?, 408.12.0.?, $\ldots$ |
$[]$ |
| 53040.ce3 |
53040co1 |
53040.ce |
53040co |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{4} \cdot 5 \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$28672$ |
$0.404955$ |
$1948441249/89505$ |
$0.80465$ |
$2.73082$ |
$[0, 1, 0, -416, -3276]$ |
\(y^2=x^3+x^2-416x-3276\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 68.12.0-4.c.1.1, 260.12.0.?, $\ldots$ |
$[]$ |
| 56355.n3 |
56355x1 |
56355.n |
56355x |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 3^{4} \cdot 5 \cdot 13 \cdot 17^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$129024$ |
$1.128414$ |
$1948441249/89505$ |
$0.80465$ |
$3.50929$ |
$[1, 0, 0, -7520, 240207]$ |
\(y^2+xy=x^3-7520x+240207\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 408.24.0.?, 1560.24.0.?, 2210.6.0.?, $\ldots$ |
$[]$ |
| 129285.f3 |
129285w1 |
129285.f |
129285w |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 3^{10} \cdot 5 \cdot 13^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$6.454450467$ |
$1$ |
|
$3$ |
$602112$ |
$1.543589$ |
$1948441249/89505$ |
$0.80465$ |
$3.68500$ |
$[1, -1, 1, -39578, -2897904]$ |
\(y^2+xy+y=x^3-x^2-39578x-2897904\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 104.12.0.?, 408.12.0.?, $\ldots$ |
$[(8148, 731160)]$ |
| 159120.ej3 |
159120w1 |
159120.ej |
159120w |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{10} \cdot 5 \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$229376$ |
$0.954261$ |
$1948441249/89505$ |
$0.80465$ |
$3.03068$ |
$[0, 0, 0, -3747, 84706]$ |
\(y^2=x^3-3747x+84706\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 204.12.0.?, 408.24.0.?, $\ldots$ |
$[]$ |
| 162435.ba3 |
162435l1 |
162435.ba |
162435l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 3^{4} \cdot 5 \cdot 7^{6} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$3.251945867$ |
$1$ |
|
$3$ |
$129024$ |
$0.684763$ |
$1948441249/89505$ |
$0.80465$ |
$2.75593$ |
$[1, 0, 0, -1275, -16920]$ |
\(y^2+xy=x^3-1275x-16920\) |
2.3.0.a.1, 4.6.0.c.1, 168.12.0.?, 408.12.0.?, 476.12.0.?, $\ldots$ |
$[(57, 282)]$ |
| 169065.bc3 |
169065bh1 |
169065.bc |
169065bh |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 3^{10} \cdot 5 \cdot 13 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$12.81059762$ |
$1$ |
|
$1$ |
$1032192$ |
$1.677721$ |
$1948441249/89505$ |
$0.80465$ |
$3.73659$ |
$[1, -1, 0, -67680, -6485589]$ |
\(y^2+xy=x^3-x^2-67680x-6485589\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 136.12.0.?, 408.24.0.?, $\ldots$ |
$[(287410/23, 128243433/23)]$ |
| 212160.dl3 |
212160cx1 |
212160.dl |
212160cx |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{4} \cdot 5 \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$4.953776886$ |
$1$ |
|
$1$ |
$229376$ |
$0.751529$ |
$1948441249/89505$ |
$0.80465$ |
$2.76125$ |
$[0, -1, 0, -1665, -24543]$ |
\(y^2=x^3-x^2-1665x-24543\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 136.12.0.?, 408.24.0.?, $\ldots$ |
$[(333/2, 5103/2)]$ |
| 212160.gg3 |
212160ei1 |
212160.gg |
212160ei |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{4} \cdot 5 \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$2.080019404$ |
$1$ |
|
$5$ |
$229376$ |
$0.751529$ |
$1948441249/89505$ |
$0.80465$ |
$2.76125$ |
$[0, 1, 0, -1665, 24543]$ |
\(y^2=x^3+x^2-1665x+24543\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 136.12.0.?, 408.24.0.?, $\ldots$ |
$[(18, 27)]$ |
| 215475.r3 |
215475n1 |
215475.r |
215475n |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{4} \cdot 5^{7} \cdot 13^{7} \cdot 17 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$26520$ |
$48$ |
$0$ |
$3.071381228$ |
$1$ |
|
$7$ |
$1806336$ |
$1.799002$ |
$1948441249/89505$ |
$0.80465$ |
$3.78130$ |
$[1, 0, 0, -109938, 13452867]$ |
\(y^2+xy=x^3-109938x+13452867\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 408.24.0.?, 1560.24.0.?, 2210.6.0.?, $\ldots$ |
$[(-3, 3714)]$ |
| 265200.i3 |
265200i1 |
265200.i |
265200i |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{7} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$2.662861680$ |
$1$ |
|
$5$ |
$688128$ |
$1.209675$ |
$1948441249/89505$ |
$0.80465$ |
$3.15214$ |
$[0, -1, 0, -10408, -388688]$ |
\(y^2=x^3-x^2-10408x-388688\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 120.12.0.?, 340.12.0.?, $\ldots$ |
$[(-52, 96)]$ |
| 281775.bj3 |
281775bj1 |
281775.bj |
281775bj |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 13 \cdot 17^{2} \) |
\( 3^{4} \cdot 5^{7} \cdot 13 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$3.949700729$ |
$1$ |
|
$3$ |
$3096576$ |
$1.933134$ |
$1948441249/89505$ |
$0.80465$ |
$3.82873$ |
$[1, 1, 0, -188000, 30025875]$ |
\(y^2+xy=x^3+x^2-188000x+30025875\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 312.12.0.?, 408.12.0.?, $\ldots$ |
$[(190, 1005)]$ |
| 401115.bk3 |
401115bk1 |
401115.bk |
401115bk |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( 3^{4} \cdot 5 \cdot 11^{6} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$291720$ |
$48$ |
$0$ |
$7.401548693$ |
$1$ |
|
$1$ |
$573440$ |
$0.910755$ |
$1948441249/89505$ |
$0.80465$ |
$2.77303$ |
$[1, 1, 0, -3148, -66557]$ |
\(y^2+xy=x^3+x^2-3148x-66557\) |
2.3.0.a.1, 4.6.0.c.1, 264.12.0.?, 408.12.0.?, 748.12.0.?, $\ldots$ |
$[(3322/7, 54685/7)]$ |
| 487305.dc3 |
487305dc1 |
487305.dc |
487305dc |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 3^{10} \cdot 5 \cdot 7^{6} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$5.815193222$ |
$1$ |
|
$3$ |
$1032192$ |
$1.234070$ |
$1948441249/89505$ |
$0.80465$ |
$3.02806$ |
$[1, -1, 0, -11475, 456840]$ |
\(y^2+xy=x^3-x^2-11475x+456840\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 408.12.0.?, 1428.12.0.?, $\ldots$ |
$[(328, 5484)]$ |
