| 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 |
| 18720.e2 |
18720w1 |
18720.e |
18720w |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{4} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.031941047$ |
$1$ |
|
$13$ |
$3072$ |
$0.053229$ |
$1259712/8125$ |
$0.92550$ |
$2.42119$ |
$[0, 0, 0, 27, 172]$ |
\(y^2=x^3+27x+172\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(-1, 12), (-3, 8)]$ |
| 18720.r2 |
18720a1 |
18720.r |
18720a |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.438376501$ |
$1$ |
|
$3$ |
$3072$ |
$0.053229$ |
$1259712/8125$ |
$0.92550$ |
$2.42119$ |
$[0, 0, 0, 27, -172]$ |
\(y^2=x^3+27x-172\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(16, 66)]$ |
| 18720.bc2 |
18720c1 |
18720.bc |
18720c |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.602535$ |
$1259712/8125$ |
$0.92550$ |
$3.09126$ |
$[0, 0, 0, 243, -4644]$ |
\(y^2=x^3+243x-4644\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[ ]$ |
| 18720.bn2 |
18720y1 |
18720.bn |
18720y |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.507464718$ |
$1$ |
|
$7$ |
$9216$ |
$0.602535$ |
$1259712/8125$ |
$0.92550$ |
$3.09126$ |
$[0, 0, 0, 243, 4644]$ |
\(y^2=x^3+243x+4644\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(13, 100)]$ |
| 37440.o2 |
37440k2 |
37440.o |
37440k |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.949109$ |
$1259712/8125$ |
$0.92550$ |
$3.28272$ |
$[0, 0, 0, 972, -37152]$ |
\(y^2=x^3+972x-37152\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[ ]$ |
| 37440.cl2 |
37440g2 |
37440.cl |
37440g |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.949109$ |
$1259712/8125$ |
$0.92550$ |
$3.28272$ |
$[0, 0, 0, 972, 37152]$ |
\(y^2=x^3+972x+37152\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[ ]$ |
| 37440.dw2 |
37440y2 |
37440.dw |
37440y |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.660376703$ |
$1$ |
|
$7$ |
$12288$ |
$0.399803$ |
$1259712/8125$ |
$0.92550$ |
$2.65676$ |
$[0, 0, 0, 108, 1376]$ |
\(y^2=x^3+108x+1376\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(2, 40)]$ |
| 37440.ez2 |
37440w2 |
37440.ez |
37440w |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.022324460$ |
$1$ |
|
$7$ |
$12288$ |
$0.399803$ |
$1259712/8125$ |
$0.92550$ |
$2.65676$ |
$[0, 0, 0, 108, -1376]$ |
\(y^2=x^3+108x-1376\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(18, 80)]$ |
| 93600.bg2 |
93600f1 |
93600.bg |
93600f |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.407253$ |
$1259712/8125$ |
$0.92550$ |
$3.50023$ |
$[0, 0, 0, 6075, 580500]$ |
\(y^2=x^3+6075x+580500\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[ ]$ |
| 93600.bv2 |
93600cv1 |
93600.bv |
93600cv |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.440962627$ |
$1$ |
|
$5$ |
$73728$ |
$0.857948$ |
$1259712/8125$ |
$0.92550$ |
$2.92438$ |
$[0, 0, 0, 675, -21500]$ |
\(y^2=x^3+675x-21500\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(21, 44)]$ |
| 93600.di2 |
93600e1 |
93600.di |
93600e |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$0.857948$ |
$1259712/8125$ |
$0.92550$ |
$2.92438$ |
$[0, 0, 0, 675, 21500]$ |
\(y^2=x^3+675x+21500\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[ ]$ |
| 93600.dz2 |
93600cu1 |
93600.dz |
93600cu |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$6.802331356$ |
$1$ |
|
$1$ |
$221184$ |
$1.407253$ |
$1259712/8125$ |
$0.92550$ |
$3.50023$ |
$[0, 0, 0, 6075, -580500]$ |
\(y^2=x^3+6075x-580500\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(661/3, 13816/3)]$ |
| 187200.ds2 |
187200pj2 |
187200.ds |
187200pj |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.528922833$ |
$1$ |
|
$7$ |
$294912$ |
$1.204521$ |
$1259712/8125$ |
$0.92550$ |
$3.09999$ |
$[0, 0, 0, 2700, -172000]$ |
\(y^2=x^3+2700x-172000\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(70, 600)]$ |
| 187200.fb2 |
187200pn2 |
187200.fb |
187200pn |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.909618737$ |
$1$ |
|
$5$ |
$884736$ |
$1.753828$ |
$1259712/8125$ |
$0.92550$ |
$3.64296$ |
$[0, 0, 0, 24300, 4644000]$ |
\(y^2=x^3+24300x+4644000\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(-110, 800)]$ |
| 187200.lc2 |
187200qe2 |
187200.lc |
187200qe |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.933130342$ |
$1$ |
|
$3$ |
$884736$ |
$1.753828$ |
$1259712/8125$ |
$0.92550$ |
$3.64296$ |
$[0, 0, 0, 24300, -4644000]$ |
\(y^2=x^3+24300x-4644000\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(610, 15400)]$ |
| 187200.mz2 |
187200qh2 |
187200.mz |
187200qh |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.408154606$ |
$1$ |
|
$3$ |
$294912$ |
$1.204521$ |
$1259712/8125$ |
$0.92550$ |
$3.09999$ |
$[0, 0, 0, 2700, 172000]$ |
\(y^2=x^3+2700x+172000\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(230, 3600)]$ |
| 243360.u2 |
243360u1 |
243360.u |
243360u |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$6.431076562$ |
$1$ |
|
$1$ |
$1548288$ |
$1.885010$ |
$1259712/8125$ |
$0.92550$ |
$3.69282$ |
$[0, 0, 0, 41067, 10202868]$ |
\(y^2=x^3+41067x+10202868\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(2401/2, 126775/2)]$ |
| 243360.cb2 |
243360cb1 |
243360.cb |
243360cb |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1548288$ |
$1.885010$ |
$1259712/8125$ |
$0.92550$ |
$3.69282$ |
$[0, 0, 0, 41067, -10202868]$ |
\(y^2=x^3+41067x-10202868\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[ ]$ |
| 243360.dh2 |
243360dh1 |
243360.dh |
243360dh |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.688995869$ |
$1$ |
|
$5$ |
$516096$ |
$1.335703$ |
$1259712/8125$ |
$0.92550$ |
$3.16134$ |
$[0, 0, 0, 4563, -377884]$ |
\(y^2=x^3+4563x-377884\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(127, 1500)]$ |
| 243360.ev2 |
243360ev1 |
243360.ev |
243360ev |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$1.335703$ |
$1259712/8125$ |
$0.92550$ |
$3.16134$ |
$[0, 0, 0, 4563, 377884]$ |
\(y^2=x^3+4563x+377884\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[ ]$ |
| 486720.cq2 |
486720cq2 |
486720.cq |
486720cq |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.258594098$ |
$1$ |
|
$5$ |
$2064384$ |
$1.682278$ |
$1259712/8125$ |
$0.92550$ |
$3.31159$ |
$[0, 0, 0, 18252, -3023072]$ |
\(y^2=x^3+18252x-3023072\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(117, 845)]$ |
| 486720.ft2 |
486720ft2 |
486720.ft |
486720ft |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.059378838$ |
$1$ |
|
$7$ |
$2064384$ |
$1.682278$ |
$1259712/8125$ |
$0.92550$ |
$3.31159$ |
$[0, 0, 0, 18252, 3023072]$ |
\(y^2=x^3+18252x+3023072\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(52, 2028)]$ |
| 486720.kk2 |
486720kk2 |
486720.kk |
486720kk |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.792877086$ |
$1$ |
|
$17$ |
$6193152$ |
$2.231583$ |
$1259712/8125$ |
$0.92550$ |
$3.81494$ |
$[0, 0, 0, 164268, 81622944]$ |
\(y^2=x^3+164268x+81622944\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(-182, 6760), (-42, 8640)]$ |
| 486720.pd2 |
486720pd2 |
486720.pd |
486720pd |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6193152$ |
$2.231583$ |
$1259712/8125$ |
$0.92550$ |
$3.81494$ |
$[0, 0, 0, 164268, -81622944]$ |
\(y^2=x^3+164268x-81622944\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[ ]$ |
