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 |
13860.k3 |
13860c2 |
13860.k |
13860c |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$20736$ |
$1.117029$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -6543, 215542]$ |
\(y^2=x^3-6543x+215542\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 84.48.0.?, 660.48.0.?, $\ldots$ |
$[]$ |
13860.t2 |
13860f4 |
13860.t |
13860f |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$4620$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$62208$ |
$1.666336$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -58887, -5819634]$ |
\(y^2=x^3-58887x-5819634\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 84.48.0.?, 660.48.0.?, $\ldots$ |
$[]$ |
55440.p3 |
55440bu2 |
55440.p |
55440bu |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$82944$ |
$1.117029$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -6543, -215542]$ |
\(y^2=x^3-6543x-215542\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 42.24.0-6.a.1.1, $\ldots$ |
$[]$ |
55440.ds2 |
55440cg4 |
55440.ds |
55440cg |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$248832$ |
$1.666336$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -58887, 5819634]$ |
\(y^2=x^3-58887x+5819634\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 42.24.0-6.a.1.2, $\ldots$ |
$[]$ |
69300.f2 |
69300a4 |
69300.f |
69300a |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1492992$ |
$2.471054$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -1472175, -727454250]$ |
\(y^2=x^3-1472175x-727454250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$ |
$[]$ |
69300.bc3 |
69300e2 |
69300.bc |
69300e |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1.435674677$ |
$1$ |
|
$3$ |
$497664$ |
$1.921749$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -163575, 26942750]$ |
\(y^2=x^3-163575x+26942750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$ |
$[(190, 1650)]$ |
97020.d2 |
97020f4 |
97020.d |
97020f |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$3.749628222$ |
$1$ |
|
$3$ |
$2985984$ |
$2.639290$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -2885463, 1996134462]$ |
\(y^2=x^3-2885463x+1996134462\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 21.8.0-3.a.1.2, $\ldots$ |
$[(-1218, 60858)]$ |
97020.cm3 |
97020y2 |
97020.cm |
97020y |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1.065780411$ |
$1$ |
|
$7$ |
$995328$ |
$2.089985$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -320607, -73930906]$ |
\(y^2=x^3-320607x-73930906\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 21.8.0-3.a.1.1, $\ldots$ |
$[(1043, 26950)]$ |
152460.f3 |
152460bx2 |
152460.f |
152460bx |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$21.05852717$ |
$1$ |
|
$1$ |
$2488320$ |
$2.315979$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -791703, -286886402]$ |
\(y^2=x^3-791703x-286886402\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 60.24.0-6.a.1.9, $\ldots$ |
$[(42251509454/5771, 5265565058129310/5771)]$ |
152460.bd2 |
152460bl4 |
152460.bd |
152460bl |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$7464960$ |
$2.865284$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -7125327, 7745932854]$ |
\(y^2=x^3-7125327x+7745932854\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 60.24.0-6.a.1.5, $\ldots$ |
$[]$ |
221760.v2 |
221760hl4 |
221760.v |
221760hl |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1990656$ |
$2.012909$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -235548, 46557072]$ |
\(y^2=x^3-235548x+46557072\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 84.24.0.?, $\ldots$ |
$[]$ |
221760.fq2 |
221760nj4 |
221760.fq |
221760nj |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$3.179979905$ |
$1$ |
|
$5$ |
$1990656$ |
$2.012909$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -235548, -46557072]$ |
\(y^2=x^3-235548x-46557072\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 84.24.0.?, $\ldots$ |
$[(834, 18360)]$ |
221760.is3 |
221760ge2 |
221760.is |
221760ge |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$663552$ |
$1.463604$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -26172, -1724336]$ |
\(y^2=x^3-26172x-1724336\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 84.24.0.?, $\ldots$ |
$[]$ |
221760.lc3 |
221760mr2 |
221760.lc |
221760mr |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1.904636021$ |
$1$ |
|
$3$ |
$663552$ |
$1.463604$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -26172, 1724336]$ |
\(y^2=x^3-26172x+1724336\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 84.24.0.?, $\ldots$ |
$[(82, 360)]$ |
277200.iq3 |
277200iq2 |
277200.iq |
277200iq |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$18.79401810$ |
$1$ |
|
$1$ |
$1990656$ |
$1.921749$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -163575, -26942750]$ |
\(y^2=x^3-163575x-26942750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.4, 84.24.0.?, $\ldots$ |
$[(1503762145/714, 57731801037625/714)]$ |
277200.lv2 |
277200lv4 |
277200.lv |
277200lv |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$5971968$ |
$2.471054$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -1472175, 727454250]$ |
\(y^2=x^3-1472175x+727454250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.2, 84.24.0.?, $\ldots$ |
$[]$ |
388080.ew2 |
388080ew4 |
388080.ew |
388080ew |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{7} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$11943936$ |
$2.639290$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -2885463, -1996134462]$ |
\(y^2=x^3-2885463x-1996134462\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 84.48.0.?, 660.48.0.?, $\ldots$ |
$[]$ |
388080.iv3 |
388080iv2 |
388080.iv |
388080iv |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{7} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3981312$ |
$2.089985$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -320607, 73930906]$ |
\(y^2=x^3-320607x+73930906\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 84.48.0.?, 660.48.0.?, $\ldots$ |
$[]$ |
485100.cs2 |
485100cs4 |
485100.cs |
485100cs |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$5.374313952$ |
$1$ |
|
$3$ |
$71663616$ |
$3.444012$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -72136575, 249516807750]$ |
\(y^2=x^3-72136575x+249516807750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.1, 84.24.0.?, $\ldots$ |
$[(3355, 212750)]$ |
485100.gv3 |
485100gv2 |
485100.gv |
485100gv |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{7} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$23887872$ |
$2.894703$ |
$-4481782160112/310023175$ |
$[0, 0, 0, -8015175, -9241363250]$ |
\(y^2=x^3-8015175x-9241363250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.3, 84.24.0.?, $\ldots$ |
$[]$ |