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 |
10920.n4 |
10920o1 |
10920.n |
10920o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{4} \cdot 3 \cdot 5^{12} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$4.111754208$ |
$1$ |
|
$3$ |
$21504$ |
$1.215454$ |
$1804588288006144/866455078125$ |
$[0, 1, 0, -6391, 79034]$ |
\(y^2=x^3+x^2-6391x+79034\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, $\ldots$ |
$[(-5, 333)]$ |
21840.o4 |
21840c1 |
21840.o |
21840c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{4} \cdot 3 \cdot 5^{12} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$43008$ |
$1.215454$ |
$1804588288006144/866455078125$ |
$[0, -1, 0, -6391, -79034]$ |
\(y^2=x^3-x^2-6391x-79034\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.5, $\ldots$ |
$[]$ |
32760.y4 |
32760p1 |
32760.y |
32760p |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{12} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$1.388770117$ |
$1$ |
|
$7$ |
$172032$ |
$1.764761$ |
$1804588288006144/866455078125$ |
$[0, 0, 0, -57522, -2191439]$ |
\(y^2=x^3-57522x-2191439\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 42.6.0.a.1, 84.24.0.?, 120.24.0.?, $\ldots$ |
$[(-43, 450)]$ |
54600.bf4 |
54600l1 |
54600.bf |
54600l |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{4} \cdot 3 \cdot 5^{18} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$840$ |
$48$ |
$0$ |
$5.108463519$ |
$1$ |
|
$3$ |
$516096$ |
$2.020172$ |
$1804588288006144/866455078125$ |
$[0, -1, 0, -159783, 10198812]$ |
\(y^2=x^3-x^2-159783x+10198812\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 42.6.0.a.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(-364, 4472)]$ |
65520.eg4 |
65520bl1 |
65520.eg |
65520bl |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{12} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$344064$ |
$1.764761$ |
$1804588288006144/866455078125$ |
$[0, 0, 0, -57522, 2191439]$ |
\(y^2=x^3-57522x+2191439\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 42.6.0.a.1, 84.24.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
76440.bk4 |
76440ci1 |
76440.bk |
76440ci |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3 \cdot 5^{12} \cdot 7^{7} \cdot 13^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$2.693886876$ |
$1$ |
|
$5$ |
$1032192$ |
$2.188412$ |
$1804588288006144/866455078125$ |
$[0, -1, 0, -313175, -27735000]$ |
\(y^2=x^3-x^2-313175x-27735000\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 42.6.0.a.1, 84.24.0.?, 120.24.0.?, $\ldots$ |
$[(825, 16575)]$ |
87360.by4 |
87360ba1 |
87360.by |
87360ba |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 3 \cdot 5^{12} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.980771275$ |
$1$ |
|
$3$ |
$344064$ |
$1.562029$ |
$1804588288006144/866455078125$ |
$[0, -1, 0, -25565, 657837]$ |
\(y^2=x^3-x^2-25565x+657837\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0-4.c.1.4, 42.6.0.a.1, $\ldots$ |
$[(229, 2600)]$ |
87360.hf4 |
87360hf1 |
87360.hf |
87360hf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 3 \cdot 5^{12} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$344064$ |
$1.562029$ |
$1804588288006144/866455078125$ |
$[0, 1, 0, -25565, -657837]$ |
\(y^2=x^3+x^2-25565x-657837\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0-4.c.1.4, 42.6.0.a.1, $\ldots$ |
$[]$ |
109200.eb4 |
109200bs1 |
109200.eb |
109200bs |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{4} \cdot 3 \cdot 5^{18} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$840$ |
$48$ |
$0$ |
$14.97999707$ |
$1$ |
|
$1$ |
$1032192$ |
$2.020172$ |
$1804588288006144/866455078125$ |
$[0, 1, 0, -159783, -10198812]$ |
\(y^2=x^3+x^2-159783x-10198812\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 42.6.0.a.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(11329708/33, 38108882656/33)]$ |
141960.ci4 |
141960bf1 |
141960.ci |
141960bf |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{12} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3612672$ |
$2.497929$ |
$1804588288006144/866455078125$ |
$[0, 1, 0, -1080135, 177958158]$ |
\(y^2=x^3+x^2-1080135x+177958158\) |
2.3.0.a.1, 4.6.0.c.1, 42.6.0.a.1, 84.12.0.?, 120.12.0.?, $\ldots$ |
$[]$ |
152880.gn4 |
152880fo1 |
152880.gn |
152880fo |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3 \cdot 5^{12} \cdot 7^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$3.149464224$ |
$1$ |
|
$1$ |
$2064384$ |
$2.188412$ |
$1804588288006144/866455078125$ |
$[0, 1, 0, -313175, 27735000]$ |
\(y^2=x^3+x^2-313175x+27735000\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 42.6.0.a.1, 84.24.0.?, 120.24.0.?, $\ldots$ |
$[(4600/3, 32500/3)]$ |
163800.de4 |
163800v1 |
163800.de |
163800v |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{18} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$6.052278633$ |
$1$ |
|
$3$ |
$4128768$ |
$2.569481$ |
$1804588288006144/866455078125$ |
$[0, 0, 0, -1438050, -273929875]$ |
\(y^2=x^3-1438050x-273929875\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 42.6.0.a.1, $\ldots$ |
$[(1574, 36907)]$ |
229320.n4 |
229320dq1 |
229320.n |
229320dq |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{12} \cdot 7^{7} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8257536$ |
$2.737717$ |
$1804588288006144/866455078125$ |
$[0, 0, 0, -2818578, 751663577]$ |
\(y^2=x^3-2818578x+751663577\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 28.12.0-4.c.1.2, 40.12.0-4.c.1.3, $\ldots$ |
$[]$ |
262080.db4 |
262080db1 |
262080.db |
262080db |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{12} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$7.425332840$ |
$1$ |
|
$1$ |
$2752512$ |
$2.111336$ |
$1804588288006144/866455078125$ |
$[0, 0, 0, -230088, -17531512]$ |
\(y^2=x^3-230088x-17531512\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 42.6.0.a.1, 84.12.0.?, $\ldots$ |
$[(30274/5, 4808232/5)]$ |
262080.eh4 |
262080eh1 |
262080.eh |
262080eh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{12} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$3.076943635$ |
$1$ |
|
$3$ |
$2752512$ |
$2.111336$ |
$1804588288006144/866455078125$ |
$[0, 0, 0, -230088, 17531512]$ |
\(y^2=x^3-230088x+17531512\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 42.6.0.a.1, 84.12.0.?, $\ldots$ |
$[(62, 1872)]$ |
283920.ct4 |
283920ct1 |
283920.ct |
283920ct |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{12} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7225344$ |
$2.497929$ |
$1804588288006144/866455078125$ |
$[0, -1, 0, -1080135, -177958158]$ |
\(y^2=x^3-x^2-1080135x-177958158\) |
2.3.0.a.1, 4.6.0.c.1, 42.6.0.a.1, 84.12.0.?, 120.12.0.?, $\ldots$ |
$[]$ |
327600.gb4 |
327600gb1 |
327600.gb |
327600gb |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{18} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$6.351976700$ |
$1$ |
|
$3$ |
$8257536$ |
$2.569481$ |
$1804588288006144/866455078125$ |
$[0, 0, 0, -1438050, 273929875]$ |
\(y^2=x^3-1438050x+273929875\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 42.6.0.a.1, $\ldots$ |
$[(5771, 429156)]$ |
382200.jd4 |
382200jd1 |
382200.jd |
382200jd |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3 \cdot 5^{18} \cdot 7^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$14.30512183$ |
$1$ |
|
$1$ |
$24772608$ |
$2.993130$ |
$1804588288006144/866455078125$ |
$[0, 1, 0, -7829383, -3482533762]$ |
\(y^2=x^3+x^2-7829383x-3482533762\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.5, 42.6.0.a.1, $\ldots$ |
$[(-60404063/327, 964148819725/327)]$ |
425880.co4 |
425880co1 |
425880.co |
425880co |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{12} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$28901376$ |
$3.047237$ |
$1804588288006144/866455078125$ |
$[0, 0, 0, -9721218, -4814591483]$ |
\(y^2=x^3-9721218x-4814591483\) |
2.3.0.a.1, 4.6.0.c.1, 42.6.0.a.1, 52.12.0-4.c.1.2, 84.12.0.?, $\ldots$ |
$[]$ |
436800.el4 |
436800el1 |
436800.el |
436800el |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 3 \cdot 5^{18} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$8257536$ |
$2.366749$ |
$1804588288006144/866455078125$ |
$[0, -1, 0, -639133, -80951363]$ |
\(y^2=x^3-x^2-639133x-80951363\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 42.6.0.a.1, 84.12.0.?, $\ldots$ |
$[]$ |
436800.pu4 |
436800pu1 |
436800.pu |
436800pu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 3 \cdot 5^{18} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$840$ |
$48$ |
$0$ |
$12.48977665$ |
$1$ |
|
$1$ |
$8257536$ |
$2.366749$ |
$1804588288006144/866455078125$ |
$[0, 1, 0, -639133, 80951363]$ |
\(y^2=x^3+x^2-639133x+80951363\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 42.6.0.a.1, 84.12.0.?, $\ldots$ |
$[(-332993/21, 107046008/21)]$ |
458640.ge4 |
458640ge1 |
458640.ge |
458640ge |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{12} \cdot 7^{7} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$16515072$ |
$2.737717$ |
$1804588288006144/866455078125$ |
$[0, 0, 0, -2818578, -751663577]$ |
\(y^2=x^3-2818578x-751663577\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.3, $\ldots$ |
$[]$ |