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 |
2415.c3 |
2415h1 |
2415.c |
2415h |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 3^{4} \cdot 5^{4} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$6440$ |
$48$ |
$0$ |
$1.075860483$ |
$1$ |
|
$9$ |
$512$ |
$0.190445$ |
$2428257525121/8150625$ |
$[1, 0, 0, -280, 1775]$ |
\(y^2+xy=x^3-280x+1775\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.4, 322.6.0.?, 644.24.0.?, $\ldots$ |
$[(11, 2)]$ |
7245.l3 |
7245i1 |
7245.l |
7245i |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 3^{10} \cdot 5^{4} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$6.629751987$ |
$1$ |
|
$1$ |
$4096$ |
$0.739751$ |
$2428257525121/8150625$ |
$[1, -1, 0, -2520, -47925]$ |
\(y^2+xy=x^3-x^2-2520x-47925\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.ba.1, 120.24.0.?, $\ldots$ |
$[(1554/5, 18723/5)]$ |
12075.u3 |
12075i1 |
12075.u |
12075i |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 3^{4} \cdot 5^{10} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$6440$ |
$48$ |
$0$ |
$2.196959556$ |
$1$ |
|
$3$ |
$12288$ |
$0.995164$ |
$2428257525121/8150625$ |
$[1, 1, 0, -7000, 221875]$ |
\(y^2+xy=x^3+x^2-7000x+221875\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.ba.1.10, $\ldots$ |
$[(30, 185)]$ |
16905.e3 |
16905c1 |
16905.e |
16905c |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.163401$ |
$2428257525121/8150625$ |
$[1, 1, 1, -13721, -622546]$ |
\(y^2+xy+y=x^3+x^2-13721x-622546\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.ba.1, 92.12.0.?, $\ldots$ |
$[]$ |
36225.v3 |
36225bo1 |
36225.v |
36225bo |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 3^{10} \cdot 5^{10} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$4.975757582$ |
$1$ |
|
$3$ |
$98304$ |
$1.544470$ |
$2428257525121/8150625$ |
$[1, -1, 1, -63005, -6053628]$ |
\(y^2+xy+y=x^3-x^2-63005x-6053628\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(290, -114)]$ |
38640.bn3 |
38640cb1 |
38640.bn |
38640cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$6440$ |
$48$ |
$0$ |
$1.195383085$ |
$1$ |
|
$7$ |
$32768$ |
$0.883592$ |
$2428257525121/8150625$ |
$[0, -1, 0, -4480, -113600]$ |
\(y^2=x^3-x^2-4480x-113600\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.12, 322.6.0.?, 644.24.0.?, $\ldots$ |
$[(-38, 18)]$ |
50715.bq3 |
50715bq1 |
50715.bq |
50715bq |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 3^{10} \cdot 5^{4} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$3.467662564$ |
$1$ |
|
$3$ |
$196608$ |
$1.712706$ |
$2428257525121/8150625$ |
$[1, -1, 0, -123489, 16685248]$ |
\(y^2+xy=x^3-x^2-123489x+16685248\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 84.12.0.?, 276.12.0.?, $\ldots$ |
$[(192, 64)]$ |
55545.f3 |
55545m1 |
55545.f |
55545m |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 7 \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$270336$ |
$1.758192$ |
$2428257525121/8150625$ |
$[1, 0, 0, -148131, -21892680]$ |
\(y^2+xy=x^3-148131x-21892680\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.ba.1, 92.12.0.?, $\ldots$ |
$[]$ |
84525.cx3 |
84525cj1 |
84525.cx |
84525cj |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( 3^{4} \cdot 5^{10} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.968119$ |
$2428257525121/8150625$ |
$[1, 0, 1, -343026, -77132177]$ |
\(y^2+xy+y=x^3-343026x-77132177\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$ |
$[]$ |
115920.bw3 |
115920dh1 |
115920.bw |
115920dh |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{4} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$262144$ |
$1.432898$ |
$2428257525121/8150625$ |
$[0, 0, 0, -40323, 3107522]$ |
\(y^2=x^3-40323x+3107522\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.ba.1, 120.24.0.?, $\ldots$ |
$[]$ |
154560.k3 |
154560hx1 |
154560.k |
154560hx |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{4} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$6440$ |
$48$ |
$0$ |
$1.271764969$ |
$1$ |
|
$7$ |
$262144$ |
$1.230165$ |
$2428257525121/8150625$ |
$[0, -1, 0, -17921, 926721]$ |
\(y^2=x^3-x^2-17921x+926721\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.ba.1.11, 322.6.0.?, $\ldots$ |
$[(131, 900)]$ |
154560.fr3 |
154560bn1 |
154560.fr |
154560bn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{4} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$6440$ |
$48$ |
$0$ |
$2.353653093$ |
$1$ |
|
$3$ |
$262144$ |
$1.230165$ |
$2428257525121/8150625$ |
$[0, 1, 0, -17921, -926721]$ |
\(y^2=x^3+x^2-17921x-926721\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.ba.1.3, 322.6.0.?, $\ldots$ |
$[(175, 1152)]$ |
166635.bx3 |
166635bh1 |
166635.bx |
166635bh |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 3^{10} \cdot 5^{4} \cdot 7 \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$8.534096291$ |
$1$ |
|
$1$ |
$2162688$ |
$2.307499$ |
$2428257525121/8150625$ |
$[1, -1, 0, -1333179, 591102360]$ |
\(y^2+xy=x^3-x^2-1333179x+591102360\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 84.12.0.?, 276.12.0.?, $\ldots$ |
$[(-10556/3, 643394/3)]$ |
193200.em3 |
193200ce1 |
193200.em |
193200ce |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{10} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$6440$ |
$48$ |
$0$ |
$2.381119425$ |
$1$ |
|
$5$ |
$786432$ |
$1.688311$ |
$2428257525121/8150625$ |
$[0, 1, 0, -112008, -14424012]$ |
\(y^2=x^3+x^2-112008x-14424012\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.ba.1.2, $\ldots$ |
$[(-186, 96)]$ |
253575.bn3 |
253575bn1 |
253575.bn |
253575bn |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( 3^{10} \cdot 5^{10} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$3.056232957$ |
$1$ |
|
$5$ |
$4718592$ |
$2.517426$ |
$2428257525121/8150625$ |
$[1, -1, 1, -3087230, 2082568772]$ |
\(y^2+xy+y=x^3-x^2-3087230x+2082568772\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 168.12.0.?, 322.6.0.?, $\ldots$ |
$[(-66, 47845)]$ |
270480.fz3 |
270480fz1 |
270480.fz |
270480fz |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$0.584712066$ |
$1$ |
|
$9$ |
$1572864$ |
$1.856546$ |
$2428257525121/8150625$ |
$[0, 1, 0, -219536, 39403860]$ |
\(y^2=x^3+x^2-219536x+39403860\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, 92.12.0.?, $\ldots$ |
$[(-68, 7350)]$ |
277725.cc3 |
277725cc1 |
277725.cc |
277725cc |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3^{4} \cdot 5^{10} \cdot 7 \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6488064$ |
$2.562912$ |
$2428257525121/8150625$ |
$[1, 1, 0, -3703275, -2736585000]$ |
\(y^2+xy=x^3+x^2-3703275x-2736585000\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.3, 140.12.0.?, $\ldots$ |
$[]$ |
292215.bj3 |
292215bj1 |
292215.bj |
292215bj |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 3^{4} \cdot 5^{4} \cdot 7 \cdot 11^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$70840$ |
$48$ |
$0$ |
$4.941421515$ |
$1$ |
|
$3$ |
$737280$ |
$1.389393$ |
$2428257525121/8150625$ |
$[1, 0, 1, -33883, -2396407]$ |
\(y^2+xy+y=x^3-33883x-2396407\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 44.12.0-4.c.1.2, 322.6.0.?, $\ldots$ |
$[(1489, 56255)]$ |
388815.w3 |
388815w1 |
388815.w |
388815w |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{7} \cdot 23^{7} \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$6440$ |
$48$ |
$0$ |
$5.847847608$ |
$1$ |
|
$19$ |
$12976128$ |
$2.731148$ |
$2428257525121/8150625$ |
$[1, 1, 1, -7258420, 7501930820]$ |
\(y^2+xy+y=x^3+x^2-7258420x+7501930820\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.13, 322.6.0.?, 644.24.0.?, $\ldots$ |
$[(1448, 4788), (1378, 10213)]$ |
408135.br3 |
408135br1 |
408135.br |
408135br |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 3^{4} \cdot 5^{4} \cdot 7 \cdot 13^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$83720$ |
$48$ |
$0$ |
$4.210689405$ |
$1$ |
|
$3$ |
$1179648$ |
$1.472919$ |
$2428257525121/8150625$ |
$[1, 0, 1, -47324, 3946997]$ |
\(y^2+xy+y=x^3-47324x+3946997\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 52.12.0-4.c.1.2, 322.6.0.?, $\ldots$ |
$[(195, 1366)]$ |
463680.ja3 |
463680ja1 |
463680.ja |
463680ja |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{4} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2097152$ |
$1.779472$ |
$2428257525121/8150625$ |
$[0, 0, 0, -161292, -24860176]$ |
\(y^2=x^3-161292x-24860176\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.ba.1, 120.24.0.?, $\ldots$ |
$[]$ |
463680.mp3 |
463680mp1 |
463680.mp |
463680mp |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{4} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$2.742133004$ |
$1$ |
|
$5$ |
$2097152$ |
$1.779472$ |
$2428257525121/8150625$ |
$[0, 0, 0, -161292, 24860176]$ |
\(y^2=x^3-161292x+24860176\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.ba.1, 120.24.0.?, $\ldots$ |
$[(197, 855)]$ |