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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
6270.l4 |
6270l3 |
6270.l |
6270l |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 19 \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{4} \cdot 11^{3} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$25080$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$193536$ |
$2.343098$ |
$588530213343917460371881/861551575695360000$ |
$[1, 0, 1, -1745883, -886935194]$ |
\(y^2+xy+y=x^3-1745883x-886935194\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$ |
$[]$ |
18810.p4 |
18810z3 |
18810.p |
18810z |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \) |
\( 2^{24} \cdot 3^{8} \cdot 5^{4} \cdot 11^{3} \cdot 19^{3} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$25080$ |
$384$ |
$5$ |
$1.592137563$ |
$1$ |
|
$17$ |
$1548288$ |
$2.892403$ |
$588530213343917460371881/861551575695360000$ |
$[1, -1, 1, -15712943, 23947250231]$ |
\(y^2+xy+y=x^3-x^2-15712943x+23947250231\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$ |
$[(2193, 4546)]$ |
31350.bt4 |
31350bi3 |
31350.bt |
31350bi |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{10} \cdot 11^{3} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$0.942084930$ |
$1$ |
|
$7$ |
$4644864$ |
$3.147816$ |
$588530213343917460371881/861551575695360000$ |
$[1, 1, 1, -43647063, -110866899219]$ |
\(y^2+xy+y=x^3+x^2-43647063x-110866899219\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$ |
$[(-3845, 13322)]$ |
50160.bc4 |
50160bo3 |
50160.bc |
50160bo |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 19 \) |
\( 2^{36} \cdot 3^{2} \cdot 5^{4} \cdot 11^{3} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$4644864$ |
$3.036243$ |
$588530213343917460371881/861551575695360000$ |
$[0, -1, 0, -27934120, 56763852400]$ |
\(y^2=x^3-x^2-27934120x+56763852400\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.4, $\ldots$ |
$[]$ |
68970.cv4 |
68970cv3 |
68970.cv |
68970cv |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{4} \cdot 11^{9} \cdot 19^{3} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$3.722633682$ |
$1$ |
|
$7$ |
$23224320$ |
$3.542046$ |
$588530213343917460371881/861551575695360000$ |
$[1, 0, 0, -211251785, 1180299491097]$ |
\(y^2+xy=x^3-211251785x+1180299491097\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$ |
$[(8122, 13603)]$ |
94050.cf4 |
94050bp3 |
94050.cf |
94050bp |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( 2^{24} \cdot 3^{8} \cdot 5^{10} \cdot 11^{3} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$37158912$ |
$3.697124$ |
$588530213343917460371881/861551575695360000$ |
$[1, -1, 0, -392823567, 2993013455341]$ |
\(y^2+xy=x^3-x^2-392823567x+2993013455341\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
119130.bf4 |
119130bi3 |
119130.bf |
119130bi |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 19^{2} \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{4} \cdot 11^{3} \cdot 19^{9} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$69672960$ |
$3.815315$ |
$588530213343917460371881/861551575695360000$ |
$[1, 1, 1, -630263590, 6082227966755]$ |
\(y^2+xy+y=x^3+x^2-630263590x+6082227966755\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$ |
$[]$ |
150480.bo4 |
150480ce3 |
150480.bo |
150480ce |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \) |
\( 2^{36} \cdot 3^{8} \cdot 5^{4} \cdot 11^{3} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$52.24558339$ |
$1$ |
|
$1$ |
$37158912$ |
$3.585552$ |
$588530213343917460371881/861551575695360000$ |
$[0, 0, 0, -251407083, -1532372607718]$ |
\(y^2=x^3-251407083x-1532372607718\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.8, $\ldots$ |
$[(514185603272832783362566/4907726281, 198846122215376765200642170976221300/4907726281)]$ |
200640.e4 |
200640ge3 |
200640.e |
200640ge |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 19 \) |
\( 2^{42} \cdot 3^{2} \cdot 5^{4} \cdot 11^{3} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$37158912$ |
$3.382820$ |
$588530213343917460371881/861551575695360000$ |
$[0, -1, 0, -111736481, -453999082719]$ |
\(y^2=x^3-x^2-111736481x-453999082719\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
200640.ez4 |
200640br3 |
200640.ez |
200640br |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 19 \) |
\( 2^{42} \cdot 3^{2} \cdot 5^{4} \cdot 11^{3} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$37158912$ |
$3.382820$ |
$588530213343917460371881/861551575695360000$ |
$[0, 1, 0, -111736481, 453999082719]$ |
\(y^2=x^3+x^2-111736481x+453999082719\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
206910.bd4 |
206910er3 |
206910.bd |
206910er |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{8} \cdot 5^{4} \cdot 11^{9} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$66.93367143$ |
$1$ |
|
$1$ |
$185794560$ |
$4.091354$ |
$588530213343917460371881/861551575695360000$ |
$[1, -1, 0, -1901266065, -31868086259619]$ |
\(y^2+xy=x^3-x^2-1901266065x-31868086259619\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ |
$[(12905630825263720569212016351897/15986857344808, 3725544799374658888610099050574272727638213287/15986857344808)]$ |
250800.eq4 |
250800eq3 |
250800.eq |
250800eq |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( 2^{36} \cdot 3^{2} \cdot 5^{10} \cdot 11^{3} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$111476736$ |
$3.840965$ |
$588530213343917460371881/861551575695360000$ |
$[0, 1, 0, -698353008, 7094084843988]$ |
\(y^2=x^3+x^2-698353008x+7094084843988\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$ |
$[]$ |
307230.c4 |
307230c3 |
307230.c |
307230c |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 19 \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{4} \cdot 7^{6} \cdot 11^{3} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$175560$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$55738368$ |
$3.316051$ |
$588530213343917460371881/861551575695360000$ |
$[1, 1, 0, -85548243, 304133223213]$ |
\(y^2+xy=x^3+x^2-85548243x+304133223213\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
344850.f4 |
344850f3 |
344850.f |
344850f |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{10} \cdot 11^{9} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$557383680$ |
$4.346764$ |
$588530213343917460371881/861551575695360000$ |
$[1, 1, 0, -5281294625, 147537436387125]$ |
\(y^2+xy=x^3+x^2-5281294625x+147537436387125\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
357390.e4 |
357390e3 |
357390.e |
357390e |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19^{2} \) |
\( 2^{24} \cdot 3^{8} \cdot 5^{4} \cdot 11^{3} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$557383680$ |
$4.364624$ |
$588530213343917460371881/861551575695360000$ |
$[1, -1, 0, -5672372310, -164225827474700]$ |
\(y^2+xy=x^3-x^2-5672372310x-164225827474700\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ |
$[]$ |