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 |
6630.t4 |
6630s1 |
6630.t |
6630s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$11520$ |
$0.879548$ |
$436192097814719/259683840000$ |
$0.96075$ |
$3.83086$ |
$[1, 1, 1, 1580, 4757]$ |
\(y^2+xy+y=x^3+x^2+1580x+4757\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.2, 78.6.0.?, 156.24.0.?, $\ldots$ |
$[]$ |
19890.m4 |
19890l1 |
19890.m |
19890l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.428854$ |
$436192097814719/259683840000$ |
$0.96075$ |
$4.07162$ |
$[1, -1, 0, 14220, -114224]$ |
\(y^2+xy=x^3-x^2+14220x-114224\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 52.12.0-4.c.1.2, $\ldots$ |
$[]$ |
33150.n4 |
33150q1 |
33150.n |
33150q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{10} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1560$ |
$48$ |
$0$ |
$1.214106045$ |
$1$ |
|
$7$ |
$276480$ |
$1.684267$ |
$436192097814719/259683840000$ |
$0.96075$ |
$4.16626$ |
$[1, 0, 1, 39499, 515648]$ |
\(y^2+xy+y=x^3+39499x+515648\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.9, $\ldots$ |
$[(51, 1606)]$ |
53040.cj4 |
53040cz1 |
53040.cj |
53040cz |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{24} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$1.058593705$ |
$1$ |
|
$7$ |
$276480$ |
$1.572695$ |
$436192097814719/259683840000$ |
$0.96075$ |
$3.86319$ |
$[0, 1, 0, 25280, -253900]$ |
\(y^2=x^3+x^2+25280x-253900\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.10, 78.6.0.?, 156.24.0.?, $\ldots$ |
$[(20, 510)]$ |
86190.b4 |
86190c1 |
86190.b |
86190c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.739196647$ |
$1$ |
|
$5$ |
$1935360$ |
$2.162022$ |
$436192097814719/259683840000$ |
$0.96075$ |
$4.32044$ |
$[1, 1, 0, 267017, 9116437]$ |
\(y^2+xy=x^3+x^2+267017x+9116437\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(291, 10417)]$ |
99450.ce4 |
99450co1 |
99450.ce |
99450co |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{10} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.354956415$ |
$1$ |
|
$7$ |
$2211840$ |
$2.233574$ |
$436192097814719/259683840000$ |
$0.96075$ |
$4.34132$ |
$[1, -1, 1, 355495, -13922503]$ |
\(y^2+xy+y=x^3-x^2+355495x-13922503\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(289, 10480)]$ |
112710.cl4 |
112710cv1 |
112710.cl |
112710cv |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3317760$ |
$2.296154$ |
$436192097814719/259683840000$ |
$0.96075$ |
$4.35917$ |
$[1, 0, 0, 456614, 20175716]$ |
\(y^2+xy=x^3+456614x+20175716\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 68.12.0-4.c.1.2, 78.6.0.?, $\ldots$ |
$[]$ |
159120.b4 |
159120bd1 |
159120.b |
159120bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{24} \cdot 3^{9} \cdot 5^{4} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$2.268684483$ |
$1$ |
|
$5$ |
$2211840$ |
$2.122002$ |
$436192097814719/259683840000$ |
$0.96075$ |
$4.05919$ |
$[0, 0, 0, 227517, 7082818]$ |
\(y^2=x^3+227517x+7082818\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(194, 7650)]$ |
212160.b4 |
212160de1 |
212160.b |
212160de |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{30} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$1.919270$ |
$436192097814719/259683840000$ |
$0.96075$ |
$3.76563$ |
$[0, -1, 0, 101119, -2132319]$ |
\(y^2=x^3-x^2+101119x-2132319\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.6, 78.6.0.?, $\ldots$ |
$[]$ |
212160.ft4 |
212160gc1 |
212160.ft |
212160gc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{30} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$1.919270$ |
$436192097814719/259683840000$ |
$0.96075$ |
$3.76563$ |
$[0, 1, 0, 101119, 2132319]$ |
\(y^2=x^3+x^2+101119x+2132319\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 78.6.0.?, $\ldots$ |
$[]$ |
258570.eg4 |
258570eg1 |
258570.eg |
258570eg |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1560$ |
$48$ |
$0$ |
$0.951967958$ |
$1$ |
|
$17$ |
$15482880$ |
$2.711330$ |
$436192097814719/259683840000$ |
$0.96075$ |
$4.46849$ |
$[1, -1, 1, 2403148, -243740649]$ |
\(y^2+xy+y=x^3-x^2+2403148x-243740649\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.15, 78.6.0.?, 156.24.0.?, $\ldots$ |
$[(309, 22829)]$ |
265200.ds4 |
265200ds1 |
265200.ds |
265200ds |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{24} \cdot 3^{3} \cdot 5^{10} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1560$ |
$48$ |
$0$ |
$7.990752265$ |
$1$ |
|
$1$ |
$6635520$ |
$2.377415$ |
$436192097814719/259683840000$ |
$0.96075$ |
$4.13857$ |
$[0, -1, 0, 631992, -33001488]$ |
\(y^2=x^3-x^2+631992x-33001488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.bb.1.1, $\ldots$ |
$[(278953/8, 149716875/8)]$ |
324870.fb4 |
324870fb1 |
324870.fb |
324870fb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 7^{6} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$0.770953340$ |
$1$ |
|
$9$ |
$3317760$ |
$1.852503$ |
$436192097814719/259683840000$ |
$0.96075$ |
$3.57607$ |
$[1, 0, 0, 77419, -1399455]$ |
\(y^2+xy=x^3+77419x-1399455\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.bb.1, 78.6.0.?, $\ldots$ |
$[(214, 4891)]$ |
338130.bb4 |
338130bb1 |
338130.bb |
338130bb |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$26542080$ |
$2.845463$ |
$436192097814719/259683840000$ |
$0.96075$ |
$4.50076$ |
$[1, -1, 0, 4109526, -544744332]$ |
\(y^2+xy=x^3-x^2+4109526x-544744332\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 78.6.0.?, 156.12.0.?, $\ldots$ |
$[]$ |
430950.ix4 |
430950ix1 |
430950.ix |
430950ix |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{10} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46448640$ |
$2.966743$ |
$436192097814719/259683840000$ |
$0.96075$ |
$4.52879$ |
$[1, 0, 0, 6675412, 1126203792]$ |
\(y^2+xy=x^3+6675412x+1126203792\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |