| 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 |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 2670.d4 |
2670d1 |
2670.d |
2670d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 89 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 89 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.53 |
2B |
$712$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2048$ |
$0.607111$ |
$67922306042401/5006250000$ |
$0.92685$ |
$4.03676$ |
$[1, 1, 1, -850, -9265]$ |
\(y^2+xy+y=x^3+x^2-850x-9265\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 178.6.0.?, 356.24.0.?, $\ldots$ |
$[]$ |
| 8010.e4 |
8010b1 |
8010.e |
8010b |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 89 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 89 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$1.156418$ |
$67922306042401/5006250000$ |
$0.92685$ |
$4.27672$ |
$[1, -1, 0, -7650, 242500]$ |
\(y^2+xy=x^3-x^2-7650x+242500\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.2, 24.24.0-8.m.1.8, $\ldots$ |
$[]$ |
| 13350.f4 |
13350h1 |
13350.f |
13350h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 89 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{14} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$3560$ |
$48$ |
$0$ |
$2.374635261$ |
$1$ |
|
$3$ |
$49152$ |
$1.411831$ |
$67922306042401/5006250000$ |
$0.92685$ |
$4.36939$ |
$[1, 0, 1, -21251, -1115602]$ |
\(y^2+xy+y=x^3-21251x-1115602\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.2, 40.24.0-8.m.1.1, $\ldots$ |
$[(-78, 301)]$ |
| 21360.l4 |
21360p1 |
21360.l |
21360p |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 89 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{8} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.63 |
2B |
$712$ |
$48$ |
$0$ |
$0.523341460$ |
$1$ |
|
$9$ |
$49152$ |
$1.300259$ |
$67922306042401/5006250000$ |
$0.92685$ |
$4.02909$ |
$[0, 1, 0, -13600, 565748]$ |
\(y^2=x^3+x^2-13600x+565748\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.3, 178.6.0.?, 356.24.0.?, $\ldots$ |
$[(26, 480)]$ |
| 40050.u4 |
40050be1 |
40050.u |
40050be |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 89 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{14} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$10680$ |
$48$ |
$0$ |
$2.471472826$ |
$1$ |
|
$3$ |
$393216$ |
$1.961136$ |
$67922306042401/5006250000$ |
$0.92685$ |
$4.53842$ |
$[1, -1, 1, -191255, 30121247]$ |
\(y^2+xy+y=x^3-x^2-191255x+30121247\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(309, 520)]$ |
| 64080.c4 |
64080u1 |
64080.c |
64080u |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 89 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{8} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2136$ |
$48$ |
$0$ |
$4.707186031$ |
$1$ |
|
$3$ |
$393216$ |
$1.849566$ |
$67922306042401/5006250000$ |
$0.92685$ |
$4.22473$ |
$[0, 0, 0, -122403, -15397598]$ |
\(y^2=x^3-122403x-15397598\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.6, $\ldots$ |
$[(-177, 850)]$ |
| 85440.a4 |
85440bd1 |
85440.a |
85440bd |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 89 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{8} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.102 |
2B |
$712$ |
$48$ |
$0$ |
$2.457173201$ |
$1$ |
|
$5$ |
$393216$ |
$1.646832$ |
$67922306042401/5006250000$ |
$0.92685$ |
$3.90346$ |
$[0, -1, 0, -54401, 4580385]$ |
\(y^2=x^3-x^2-54401x+4580385\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 178.6.0.?, 356.12.0.?, $\ldots$ |
$[(-139, 3072)]$ |
| 85440.bi4 |
85440r1 |
85440.bi |
85440r |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 89 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{8} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.104 |
2B |
$712$ |
$48$ |
$0$ |
$6.483629618$ |
$1$ |
|
$1$ |
$393216$ |
$1.646832$ |
$67922306042401/5006250000$ |
$0.92685$ |
$3.90346$ |
$[0, 1, 0, -54401, -4580385]$ |
\(y^2=x^3+x^2-54401x-4580385\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.7, 178.6.0.?, 356.12.0.?, $\ldots$ |
$[(-959/3, 3608/3)]$ |
| 106800.v4 |
106800bj1 |
106800.v |
106800bj |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 89 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{14} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$3560$ |
$48$ |
$0$ |
$2.209059986$ |
$1$ |
|
$3$ |
$1179648$ |
$2.104977$ |
$67922306042401/5006250000$ |
$0.92685$ |
$4.30305$ |
$[0, -1, 0, -340008, 71398512]$ |
\(y^2=x^3-x^2-340008x+71398512\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 40.24.0-8.m.1.3, $\ldots$ |
$[(612, 9600)]$ |
| 130830.ct4 |
130830r1 |
130830.ct |
130830r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 89 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 7^{6} \cdot 89 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$4984$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.580067$ |
$67922306042401/5006250000$ |
$0.92685$ |
$3.69429$ |
$[1, 0, 0, -41651, 3052881]$ |
\(y^2+xy=x^3-41651x+3052881\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 28.12.0-4.c.1.2, 56.24.0-8.m.1.3, $\ldots$ |
$[]$ |
| 237630.q4 |
237630q1 |
237630.q |
237630q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 89^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 89^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.54 |
2B |
$712$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$16220160$ |
$2.851429$ |
$67922306042401/5006250000$ |
$0.92685$ |
$4.74866$ |
$[1, 0, 0, -6733015, -6282290983]$ |
\(y^2+xy=x^3-6733015x-6282290983\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.8, 178.6.0.?, 356.24.0.?, $\ldots$ |
$[]$ |
| 256320.cl4 |
256320cl1 |
256320.cl |
256320cl |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 89 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{8} \cdot 89 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2136$ |
$48$ |
$0$ |
$4.348334254$ |
$1$ |
|
$15$ |
$3145728$ |
$2.196136$ |
$67922306042401/5006250000$ |
$0.92685$ |
$4.08840$ |
$[0, 0, 0, -489612, -123180784]$ |
\(y^2=x^3-489612x-123180784\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.7, 178.6.0.?, $\ldots$ |
$[(-478, 1280), (-448, 2500)]$ |
| 256320.eh4 |
256320eh1 |
256320.eh |
256320eh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 89 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{8} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2136$ |
$48$ |
$0$ |
$2.510575966$ |
$1$ |
|
$5$ |
$3145728$ |
$2.196136$ |
$67922306042401/5006250000$ |
$0.92685$ |
$4.08840$ |
$[0, 0, 0, -489612, 123180784]$ |
\(y^2=x^3-489612x+123180784\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.5, 178.6.0.?, $\ldots$ |
$[(-162, 14080)]$ |
| 320400.ez4 |
320400ez1 |
320400.ez |
320400ez |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 89 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{14} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$10680$ |
$48$ |
$0$ |
$12.25108540$ |
$1$ |
|
$1$ |
$9437184$ |
$2.654285$ |
$67922306042401/5006250000$ |
$0.92685$ |
$4.45011$ |
$[0, 0, 0, -3060075, -1924699750]$ |
\(y^2=x^3-3060075x-1924699750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(4602415/41, 6967753650/41)]$ |
| 323070.k4 |
323070k1 |
323070.k |
323070k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 89 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 11^{6} \cdot 89 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$7832$ |
$48$ |
$0$ |
$0.634541662$ |
$1$ |
|
$29$ |
$2621440$ |
$1.806059$ |
$67922306042401/5006250000$ |
$0.92685$ |
$3.64482$ |
$[1, 1, 0, -102852, 11817216]$ |
\(y^2+xy=x^3+x^2-102852x+11817216\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$ |
$[(-93, 4584), (132, 684)]$ |
| 392490.bl4 |
392490bl1 |
392490.bl |
392490bl |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 89 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 7^{6} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$14952$ |
$48$ |
$0$ |
$1.897025192$ |
$1$ |
|
$7$ |
$4718592$ |
$2.129372$ |
$67922306042401/5006250000$ |
$0.92685$ |
$3.89095$ |
$[1, -1, 0, -374859, -82427787]$ |
\(y^2+xy=x^3-x^2-374859x-82427787\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(-423, 774)]$ |
| 427200.e4 |
427200e1 |
427200.e |
427200e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 89 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{14} \cdot 89 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$3560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9437184$ |
$2.451550$ |
$67922306042401/5006250000$ |
$0.92685$ |
$4.16372$ |
$[0, -1, 0, -1360033, -569828063]$ |
\(y^2=x^3-x^2-1360033x-569828063\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.4, 178.6.0.?, $\ldots$ |
$[]$ |
| 427200.gk4 |
427200gk1 |
427200.gk |
427200gk |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 89 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{14} \cdot 89 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$3560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$9437184$ |
$2.451550$ |
$67922306042401/5006250000$ |
$0.92685$ |
$4.16372$ |
$[0, 1, 0, -1360033, 569828063]$ |
\(y^2=x^3+x^2-1360033x+569828063\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.2, 178.6.0.?, $\ldots$ |
$[]$ |
| 451230.a4 |
451230a1 |
451230.a |
451230a |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 89 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 13^{6} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$9256$ |
$48$ |
$0$ |
$1.711270410$ |
$1$ |
|
$7$ |
$4718592$ |
$1.889585$ |
$67922306042401/5006250000$ |
$0.92685$ |
$3.62827$ |
$[1, 1, 0, -143653, -19636547]$ |
\(y^2+xy=x^3+x^2-143653x-19636547\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$ |
$[(-242, 1135)]$ |
