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 |
6930.k2 |
6930d2 |
6930.k |
6930d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2 \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$0.462387676$ |
$1$ |
|
$8$ |
$12288$ |
$0.973769$ |
$-51603494067/35870450$ |
$[1, -1, 0, -2094, 55250]$ |
\(y^2+xy=x^3-x^2-2094x+55250\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(19, 139)]$ |
6930.r2 |
6930r2 |
6930.r |
6930r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4096$ |
$0.424463$ |
$-51603494067/35870450$ |
$[1, -1, 1, -233, -1969]$ |
\(y^2+xy+y=x^3-x^2-233x-1969\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
34650.br2 |
34650e2 |
34650.br |
34650e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2 \cdot 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$98304$ |
$1.229183$ |
$-51603494067/35870450$ |
$[1, -1, 0, -5817, -251909]$ |
\(y^2+xy=x^3-x^2-5817x-251909\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
34650.em2 |
34650cq2 |
34650.em |
34650cq |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2 \cdot 3^{9} \cdot 5^{8} \cdot 7^{2} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$294912$ |
$1.778488$ |
$-51603494067/35870450$ |
$[1, -1, 1, -52355, 6853897]$ |
\(y^2+xy+y=x^3-x^2-52355x+6853897\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
48510.ba2 |
48510f2 |
48510.ba |
48510f |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2 \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1.983836557$ |
$1$ |
|
$4$ |
$589824$ |
$1.946724$ |
$-51603494067/35870450$ |
$[1, -1, 0, -102615, -18745525]$ |
\(y^2+xy=x^3-x^2-102615x-18745525\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(485, 6495)]$ |
48510.dt2 |
48510cf2 |
48510.dt |
48510cf |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$196608$ |
$1.397419$ |
$-51603494067/35870450$ |
$[1, -1, 1, -11402, 698079]$ |
\(y^2+xy+y=x^3-x^2-11402x+698079\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
55440.ca2 |
55440cd2 |
55440.ca |
55440cd |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$0.417003542$ |
$1$ |
|
$29$ |
$98304$ |
$1.117611$ |
$-51603494067/35870450$ |
$[0, 0, 0, -3723, 129722]$ |
\(y^2=x^3-3723x+129722\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(-19, 440), (61, 360)]$ |
55440.dv2 |
55440cn2 |
55440.dv |
55440cn |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.666916$ |
$-51603494067/35870450$ |
$[0, 0, 0, -33507, -3502494]$ |
\(y^2=x^3-33507x-3502494\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
76230.be2 |
76230e2 |
76230.be |
76230e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1.398975366$ |
$1$ |
|
$6$ |
$491520$ |
$1.623411$ |
$-51603494067/35870450$ |
$[1, -1, 0, -28155, 2704851]$ |
\(y^2+xy=x^3-x^2-28155x+2704851\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(-107, 2171)]$ |
76230.fe2 |
76230dc2 |
76230.fe |
76230dc |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2 \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$14.67094862$ |
$1$ |
|
$0$ |
$1474560$ |
$2.172718$ |
$-51603494067/35870450$ |
$[1, -1, 1, -253397, -72777581]$ |
\(y^2+xy+y=x^3-x^2-253397x-72777581\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(130249909/116, 1476820095517/116)]$ |
221760.bs2 |
221760nx2 |
221760.bs |
221760nx |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{19} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1.324243741$ |
$1$ |
|
$7$ |
$2359296$ |
$2.013489$ |
$-51603494067/35870450$ |
$[0, 0, 0, -134028, 28019952]$ |
\(y^2=x^3-134028x+28019952\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(-66, 6048)]$ |
221760.go2 |
221760gy2 |
221760.go |
221760gy |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{19} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2359296$ |
$2.013489$ |
$-51603494067/35870450$ |
$[0, 0, 0, -134028, -28019952]$ |
\(y^2=x^3-134028x-28019952\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
221760.kc2 |
221760nd2 |
221760.kc |
221760nd |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{19} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$2.836293036$ |
$1$ |
|
$5$ |
$786432$ |
$1.464184$ |
$-51603494067/35870450$ |
$[0, 0, 0, -14892, -1037776]$ |
\(y^2=x^3-14892x-1037776\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(280, 4092)]$ |
221760.mk2 |
221760fz2 |
221760.mk |
221760fz |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{19} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$786432$ |
$1.464184$ |
$-51603494067/35870450$ |
$[0, 0, 0, -14892, 1037776]$ |
\(y^2=x^3-14892x+1037776\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
242550.d2 |
242550d2 |
242550.d |
242550d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2 \cdot 3^{3} \cdot 5^{8} \cdot 7^{8} \cdot 11^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$2.500962136$ |
$1$ |
|
$16$ |
$4718592$ |
$2.202137$ |
$-51603494067/35870450$ |
$[1, -1, 0, -285042, 86974866]$ |
\(y^2+xy=x^3-x^2-285042x+86974866\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(9, 9183), (109, 7508)]$ |
242550.lm2 |
242550lm2 |
242550.lm |
242550lm |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2 \cdot 3^{9} \cdot 5^{8} \cdot 7^{8} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14155776$ |
$2.751442$ |
$-51603494067/35870450$ |
$[1, -1, 1, -2565380, -2345756003]$ |
\(y^2+xy+y=x^3-x^2-2565380x-2345756003\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
277200.dj2 |
277200dj2 |
277200.dj |
277200dj |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5^{8} \cdot 7^{2} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7077888$ |
$2.471634$ |
$-51603494067/35870450$ |
$[0, 0, 0, -837675, -437811750]$ |
\(y^2=x^3-837675x-437811750\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
277200.gs2 |
277200gs2 |
277200.gs |
277200gs |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$0.854092049$ |
$1$ |
|
$7$ |
$2359296$ |
$1.922329$ |
$-51603494067/35870450$ |
$[0, 0, 0, -93075, 16215250]$ |
\(y^2=x^3-93075x+16215250\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(15, 3850)]$ |
381150.h2 |
381150h2 |
381150.h |
381150h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2 \cdot 3^{9} \cdot 5^{8} \cdot 7^{2} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$35389440$ |
$2.977436$ |
$-51603494067/35870450$ |
$[1, -1, 0, -6334917, -9103532509]$ |
\(y^2+xy=x^3-x^2-6334917x-9103532509\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
381150.io2 |
381150io2 |
381150.io |
381150io |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$3.222615783$ |
$1$ |
|
$0$ |
$11796480$ |
$2.428131$ |
$-51603494067/35870450$ |
$[1, -1, 1, -703880, 337402497]$ |
\(y^2+xy+y=x^3-x^2-703880x+337402497\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(2091/2, 82605/2)]$ |
388080.eb2 |
388080eb2 |
388080.eb |
388080eb |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$3.473243159$ |
$1$ |
|
$3$ |
$14155776$ |
$2.639874$ |
$-51603494067/35870450$ |
$[0, 0, 0, -1641843, 1201355442]$ |
\(y^2=x^3-1641843x+1201355442\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(2226, 92610)]$ |
388080.ox2 |
388080ox2 |
388080.ox |
388080ox |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1.494723845$ |
$1$ |
|
$9$ |
$4718592$ |
$2.090565$ |
$-51603494067/35870450$ |
$[0, 0, 0, -182427, -44494646]$ |
\(y^2=x^3-182427x-44494646\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(1365, 47432)]$ |