| 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 |
| 6270.l6 |
6270l5 |
6270.l |
6270l |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 19 \) |
\( - 2^{2} \cdot 3^{24} \cdot 5^{3} \cdot 11^{4} \cdot 19 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$25080$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$4$ |
$258048$ |
$2.486938$ |
$-236859095231405581781881/39282983014374049500$ |
$1.00657$ |
$6.18443$ |
$[1, 0, 1, -1289008, 638819306]$ |
\(y^2+xy+y=x^3-1289008x+638819306\) |
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, $\ldots$ |
$[]$ |
| 18810.p6 |
18810z5 |
18810.p |
18810z |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \) |
\( - 2^{2} \cdot 3^{30} \cdot 5^{3} \cdot 11^{4} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$25080$ |
$384$ |
$5$ |
$19.10565076$ |
$1$ |
|
$0$ |
$2064384$ |
$3.036243$ |
$-236859095231405581781881/39282983014374049500$ |
$1.00657$ |
$6.16384$ |
$[1, -1, 1, -11601068, -17248121269]$ |
\(y^2+xy+y=x^3-x^2-11601068x-17248121269\) |
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, $\ldots$ |
$[(272559793/63, 4485526043417/63)]$ |
| 31350.bt6 |
31350bi4 |
31350.bt |
31350bi |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( - 2^{2} \cdot 3^{24} \cdot 5^{9} \cdot 11^{4} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$11.30501916$ |
$1$ |
|
$0$ |
$6193152$ |
$3.291656$ |
$-236859095231405581781881/39282983014374049500$ |
$1.00657$ |
$6.15576$ |
$[1, 1, 1, -32225188, 79852413281]$ |
\(y^2+xy+y=x^3+x^2-32225188x+79852413281\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.48.0-12.g.1.7, $\ldots$ |
$[(497319/14, 326138093/14)]$ |
| 50160.bc6 |
50160bo4 |
50160.bc |
50160bo |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 19 \) |
\( - 2^{14} \cdot 3^{24} \cdot 5^{3} \cdot 11^{4} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$6193152$ |
$3.180084$ |
$-236859095231405581781881/39282983014374049500$ |
$1.00657$ |
$5.76473$ |
$[0, -1, 0, -20624120, -40884435600]$ |
\(y^2=x^3-x^2-20624120x-40884435600\) |
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, $\ldots$ |
$[]$ |
| 68970.cv6 |
68970cv4 |
68970.cv |
68970cv |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3^{24} \cdot 5^{3} \cdot 11^{10} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$4.963511576$ |
$1$ |
|
$2$ |
$30965760$ |
$3.685886$ |
$-236859095231405581781881/39282983014374049500$ |
$1.00657$ |
$6.14474$ |
$[1, 0, 0, -155969910, -850424466528]$ |
\(y^2+xy=x^3-155969910x-850424466528\) |
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, $\ldots$ |
$[(15624, 717948)]$ |
| 94050.cf6 |
94050bp4 |
94050.cf |
94050bp |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( - 2^{2} \cdot 3^{30} \cdot 5^{9} \cdot 11^{4} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$0$ |
$49545216$ |
$3.840965$ |
$-236859095231405581781881/39282983014374049500$ |
$1.00657$ |
$6.14082$ |
$[1, -1, 0, -290026692, -2156305185284]$ |
\(y^2+xy=x^3-x^2-290026692x-2156305185284\) |
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.1.3, $\ldots$ |
$[]$ |
| 119130.bf6 |
119130bi4 |
119130.bf |
119130bi |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 19^{2} \) |
\( - 2^{2} \cdot 3^{24} \cdot 5^{3} \cdot 11^{4} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$1$ |
$16$ |
$2$ |
$0$ |
$92897280$ |
$3.959160$ |
$-236859095231405581781881/39282983014374049500$ |
$1.00657$ |
$6.13797$ |
$[1, 1, 1, -465331715, -4382592284995]$ |
\(y^2+xy+y=x^3+x^2-465331715x-4382592284995\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.48.0-12.g.1.7, $\ldots$ |
$[]$ |
| 150480.bo6 |
150480ce5 |
150480.bo |
150480ce |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \) |
\( - 2^{14} \cdot 3^{30} \cdot 5^{3} \cdot 11^{4} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$17.41519446$ |
$1$ |
|
$1$ |
$49545216$ |
$3.729393$ |
$-236859095231405581781881/39282983014374049500$ |
$1.00657$ |
$5.78641$ |
$[0, 0, 0, -185617083, 1104065378282]$ |
\(y^2=x^3-185617083x+1104065378282\) |
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, $\ldots$ |
$[(-180281209/217, 13550682839254/217)]$ |
| 200640.e6 |
200640ge5 |
200640.e |
200640ge |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 19 \) |
\( - 2^{20} \cdot 3^{24} \cdot 5^{3} \cdot 11^{4} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$49545216$ |
$3.526661$ |
$-236859095231405581781881/39282983014374049500$ |
$1.00657$ |
$5.45081$ |
$[0, -1, 0, -82496481, 327157981281]$ |
\(y^2=x^3-x^2-82496481x+327157981281\) |
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.ez6 |
200640br4 |
200640.ez |
200640br |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 19 \) |
\( - 2^{20} \cdot 3^{24} \cdot 5^{3} \cdot 11^{4} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$49545216$ |
$3.526661$ |
$-236859095231405581781881/39282983014374049500$ |
$1.00657$ |
$5.45081$ |
$[0, 1, 0, -82496481, -327157981281]$ |
\(y^2=x^3+x^2-82496481x-327157981281\) |
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.bd6 |
206910er5 |
206910.bd |
206910er |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3^{30} \cdot 5^{3} \cdot 11^{10} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$22.31122381$ |
$1$ |
|
$0$ |
$247726080$ |
$4.235191$ |
$-236859095231405581781881/39282983014374049500$ |
$1.00657$ |
$6.13174$ |
$[1, -1, 0, -1403729190, 22961460596256]$ |
\(y^2+xy=x^3-x^2-1403729190x+22961460596256\) |
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, $\ldots$ |
$[(446891557333/4508, 150266096469275865/4508)]$ |
| 250800.eq6 |
250800eq4 |
250800.eq |
250800eq |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( - 2^{14} \cdot 3^{24} \cdot 5^{9} \cdot 11^{4} \cdot 19 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$148635648$ |
$3.984806$ |
$-236859095231405581781881/39282983014374049500$ |
$1.00657$ |
$5.79519$ |
$[0, 1, 0, -515603008, -5111585656012]$ |
\(y^2=x^3+x^2-515603008x-5111585656012\) |
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, $\ldots$ |
$[]$ |
| 307230.c6 |
307230c4 |
307230.c |
307230c |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 19 \) |
\( - 2^{2} \cdot 3^{24} \cdot 5^{3} \cdot 7^{6} \cdot 11^{4} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$175560$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$74317824$ |
$3.459892$ |
$-236859095231405581781881/39282983014374049500$ |
$1.00657$ |
$5.20359$ |
$[1, 1, 0, -63161368, -219178183412]$ |
\(y^2+xy=x^3+x^2-63161368x-219178183412\) |
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.f6 |
344850f4 |
344850.f |
344850f |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3^{24} \cdot 5^{9} \cdot 11^{10} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$743178240$ |
$4.490608$ |
$-236859095231405581781881/39282983014374049500$ |
$1.00657$ |
$6.12647$ |
$[1, 1, 0, -3899247750, -106303058316000]$ |
\(y^2+xy=x^3+x^2-3899247750x-106303058316000\) |
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.e6 |
357390e5 |
357390.e |
357390e |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19^{2} \) |
\( - 2^{2} \cdot 3^{30} \cdot 5^{3} \cdot 11^{4} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$743178240$ |
$4.508461$ |
$-236859095231405581781881/39282983014374049500$ |
$1.00657$ |
$6.12611$ |
$[1, -1, 0, -4187985435, 118325803709425]$ |
\(y^2+xy=x^3-x^2-4187985435x+118325803709425\) |
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.1.3, $\ldots$ |
$[]$ |
