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 |
9240.bi6 |
9240bj6 |
9240.bi |
9240bj |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{16} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.43 |
2B |
$1232$ |
$192$ |
$1$ |
$2.636157277$ |
$1$ |
|
$3$ |
$131072$ |
$2.209644$ |
$400647648358480318/1163177490234375$ |
$[0, 1, 0, 195040, -66381600]$ |
\(y^2=x^3+x^2+195040x-66381600\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.e.1.6, 56.48.0-56.bl.1.7, $\ldots$ |
$[(2755, 146250)]$ |
18480.bf6 |
18480m6 |
18480.bf |
18480m |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{16} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.27 |
2B |
$1232$ |
$192$ |
$1$ |
$2.929727406$ |
$1$ |
|
$9$ |
$262144$ |
$2.209644$ |
$400647648358480318/1163177490234375$ |
$[0, -1, 0, 195040, 66381600]$ |
\(y^2=x^3-x^2+195040x+66381600\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.e.1.2, 56.48.0-56.bl.1.5, $\ldots$ |
$[(-230, 3050)]$ |
27720.u6 |
27720k5 |
27720.u |
27720k |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{16} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1048576$ |
$2.758953$ |
$400647648358480318/1163177490234375$ |
$[0, 0, 0, 1755357, 1794058558]$ |
\(y^2=x^3+1755357x+1794058558\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.e.1, $\ldots$ |
$[]$ |
46200.e6 |
46200a5 |
46200.e |
46200a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{22} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$6160$ |
$192$ |
$1$ |
$20.92119604$ |
$1$ |
|
$1$ |
$3145728$ |
$3.014366$ |
$400647648358480318/1163177490234375$ |
$[0, -1, 0, 4875992, -8307451988]$ |
\(y^2=x^3-x^2+4875992x-8307451988\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(763427457/527, 23535988939738/527)]$ |
55440.m6 |
55440h5 |
55440.m |
55440h |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{16} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2097152$ |
$2.758953$ |
$400647648358480318/1163177490234375$ |
$[0, 0, 0, 1755357, -1794058558]$ |
\(y^2=x^3+1755357x-1794058558\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.e.1, $\ldots$ |
$[]$ |
64680.f6 |
64680bh5 |
64680.f |
64680bh |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{16} \cdot 7^{7} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.186 |
2B |
$1232$ |
$192$ |
$1$ |
$19.51292144$ |
$1$ |
|
$1$ |
$6291456$ |
$3.182602$ |
$400647648358480318/1163177490234375$ |
$[0, -1, 0, 9556944, 22788002700]$ |
\(y^2=x^3-x^2+9556944x+22788002700\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 16.48.0-16.e.1.7, 28.12.0-4.c.1.1, $\ldots$ |
$[(-657776011/689, 27137427948428/689)]$ |
73920.bw6 |
73920o5 |
73920.bw |
73920o |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{17} \cdot 3^{2} \cdot 5^{16} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.180 |
2B |
$1232$ |
$192$ |
$1$ |
$6.873869999$ |
$1$ |
|
$3$ |
$2097152$ |
$2.556221$ |
$400647648358480318/1163177490234375$ |
$[0, -1, 0, 780159, -531832959]$ |
\(y^2=x^3-x^2+780159x-531832959\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 16.48.0-16.e.1.10, 28.12.0-4.c.1.1, $\ldots$ |
$[(1295, 51464)]$ |
73920.ep6 |
73920ge5 |
73920.ep |
73920ge |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{17} \cdot 3^{2} \cdot 5^{16} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.192 |
2B |
$1232$ |
$192$ |
$1$ |
$6.134048510$ |
$1$ |
|
$3$ |
$2097152$ |
$2.556221$ |
$400647648358480318/1163177490234375$ |
$[0, 1, 0, 780159, 531832959]$ |
\(y^2=x^3+x^2+780159x+531832959\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.e.1.14, 28.12.0-4.c.1.2, $\ldots$ |
$[(645, 36108)]$ |
92400.ic6 |
92400cm5 |
92400.ic |
92400cm |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{22} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$6160$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$6291456$ |
$3.014366$ |
$400647648358480318/1163177490234375$ |
$[0, 1, 0, 4875992, 8307451988]$ |
\(y^2=x^3+x^2+4875992x+8307451988\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
101640.cl6 |
101640bg5 |
101640.cl |
101640bg |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{16} \cdot 7 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.84 |
2B |
$1232$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$15728640$ |
$3.408592$ |
$400647648358480318/1163177490234375$ |
$[0, 1, 0, 23599800, 88448308848]$ |
\(y^2=x^3+x^2+23599800x+88448308848\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.e.1.1, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
129360.fk6 |
129360cb5 |
129360.fk |
129360cb |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{16} \cdot 7^{7} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.198 |
2B |
$1232$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$12582912$ |
$3.182602$ |
$400647648358480318/1163177490234375$ |
$[0, 1, 0, 9556944, -22788002700]$ |
\(y^2=x^3+x^2+9556944x-22788002700\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 16.48.0-16.e.1.3, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
138600.cf6 |
138600bs6 |
138600.cf |
138600bs |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{22} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$25165824$ |
$3.563671$ |
$400647648358480318/1163177490234375$ |
$[0, 0, 0, 43883925, 224257319750]$ |
\(y^2=x^3+43883925x+224257319750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 56.24.0.bl.1, $\ldots$ |
$[]$ |
194040.eu6 |
194040ch5 |
194040.eu |
194040ch |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{16} \cdot 7^{7} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$3696$ |
$192$ |
$1$ |
$4.422365915$ |
$1$ |
|
$3$ |
$50331648$ |
$3.731907$ |
$400647648358480318/1163177490234375$ |
$[0, 0, 0, 86012493, -615362085394]$ |
\(y^2=x^3+86012493x-615362085394\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 24.24.0-8.n.1.2, $\ldots$ |
$[(6262, 410850)]$ |
203280.dl6 |
203280gc5 |
203280.dl |
203280gc |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{16} \cdot 7 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.156 |
2B |
$1232$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$31457280$ |
$3.408592$ |
$400647648358480318/1163177490234375$ |
$[0, -1, 0, 23599800, -88448308848]$ |
\(y^2=x^3-x^2+23599800x-88448308848\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 16.48.0-16.e.1.5, 44.12.0-4.c.1.2, $\ldots$ |
$[]$ |
221760.jr6 |
221760cd5 |
221760.jr |
221760cd |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{17} \cdot 3^{8} \cdot 5^{16} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$3696$ |
$192$ |
$1$ |
$2.766442582$ |
$1$ |
|
$3$ |
$16777216$ |
$3.105526$ |
$400647648358480318/1163177490234375$ |
$[0, 0, 0, 7021428, -14352468464]$ |
\(y^2=x^3+7021428x-14352468464\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 24.24.0-8.n.1.9, $\ldots$ |
$[(11532, 1265000)]$ |
221760.mc6 |
221760iw6 |
221760.mc |
221760iw |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{17} \cdot 3^{8} \cdot 5^{16} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$16777216$ |
$3.105526$ |
$400647648358480318/1163177490234375$ |
$[0, 0, 0, 7021428, 14352468464]$ |
\(y^2=x^3+7021428x+14352468464\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 24.24.0-8.n.1.11, $\ldots$ |
$[]$ |
277200.jn6 |
277200jn5 |
277200.jn |
277200jn |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{22} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$18480$ |
$192$ |
$1$ |
$14.58089140$ |
$1$ |
|
$1$ |
$50331648$ |
$3.563671$ |
$400647648358480318/1163177490234375$ |
$[0, 0, 0, 43883925, -224257319750]$ |
\(y^2=x^3+43883925x-224257319750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 56.24.0.bl.1, $\ldots$ |
$[(5639201/14, 13680210951/14)]$ |
304920.s6 |
304920s5 |
304920.s |
304920s |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{16} \cdot 7 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$125829120$ |
$3.957901$ |
$400647648358480318/1163177490234375$ |
$[0, 0, 0, 212398197, -2387891940698]$ |
\(y^2=x^3+212398197x-2387891940698\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 24.24.0-8.n.1.8, $\ldots$ |
$[]$ |
323400.fu6 |
323400fu6 |
323400.fu |
323400fu |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{22} \cdot 7^{7} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$6160$ |
$192$ |
$1$ |
$19.34000516$ |
$1$ |
|
$1$ |
$150994944$ |
$3.987320$ |
$400647648358480318/1163177490234375$ |
$[0, 1, 0, 238923592, 2848978184688]$ |
\(y^2=x^3+x^2+238923592x+2848978184688\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 40.24.0-8.n.1.11, $\ldots$ |
$[(1878959821/290, 107255609166069/290)]$ |
369600.ho6 |
369600ho6 |
369600.ho |
369600ho |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{17} \cdot 3^{2} \cdot 5^{22} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$6160$ |
$192$ |
$1$ |
$13.27734482$ |
$1$ |
|
$1$ |
$50331648$ |
$3.360939$ |
$400647648358480318/1163177490234375$ |
$[0, -1, 0, 19503967, 66440111937]$ |
\(y^2=x^3-x^2+19503967x+66440111937\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 40.24.0-8.n.1.6, $\ldots$ |
$[(180067/13, 653325028/13)]$ |
369600.pi6 |
369600pi5 |
369600.pi |
369600pi |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{17} \cdot 3^{2} \cdot 5^{22} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$6160$ |
$192$ |
$1$ |
$7.926750974$ |
$4$ |
$2$ |
$3$ |
$50331648$ |
$3.360939$ |
$400647648358480318/1163177490234375$ |
$[0, 1, 0, 19503967, -66440111937]$ |
\(y^2=x^3+x^2+19503967x-66440111937\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 40.24.0-8.n.1.2, $\ldots$ |
$[(6397, 565812)]$ |
388080.jy6 |
388080jy6 |
388080.jy |
388080jy |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{16} \cdot 7^{7} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$3696$ |
$192$ |
$1$ |
$0.843370216$ |
$1$ |
|
$33$ |
$100663296$ |
$3.731907$ |
$400647648358480318/1163177490234375$ |
$[0, 0, 0, 86012493, 615362085394]$ |
\(y^2=x^3+86012493x+615362085394\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 24.24.0-8.n.1.6, $\ldots$ |
$[(-3787, 485100), (4013, 1012500)]$ |