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 |
37180.a1 |
37180d4 |
37180.a |
37180d |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 11^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$3.157299946$ |
$1$ |
|
$3$ |
$466560$ |
$1.996925$ |
$154639330142416/33275$ |
$[0, 1, 0, -1199956, -506336700]$ |
\(y^2=x^3+x^2-1199956x-506336700\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 39.8.0-3.a.1.2, $\ldots$ |
$[(2747, 130130)]$ |
37180.a2 |
37180d3 |
37180.a |
37180d |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{4} \cdot 5 \cdot 11^{6} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$1.578649973$ |
$1$ |
|
$3$ |
$233280$ |
$1.650351$ |
$610462990336/8857805$ |
$[0, 1, 0, -75261, -7871876]$ |
\(y^2=x^3+x^2-75261x-7871876\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[(-168, 242)]$ |
37180.a3 |
37180d2 |
37180.a |
37180d |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$9.471899840$ |
$1$ |
|
$1$ |
$155520$ |
$1.447618$ |
$436334416/171875$ |
$[0, 1, 0, -16956, -485900]$ |
\(y^2=x^3+x^2-16956x-485900\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 39.8.0-3.a.1.1, $\ldots$ |
$[(-6259/10, 578011/10)]$ |
37180.a4 |
37180d1 |
37180.a |
37180d |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 11^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$4.735949920$ |
$1$ |
|
$3$ |
$77760$ |
$1.101046$ |
$643956736/15125$ |
$[0, 1, 0, -7661, 250264]$ |
\(y^2=x^3+x^2-7661x+250264\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[(-44, 710)]$ |
37180.b1 |
37180i1 |
37180.b |
37180i |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 11 \cdot 13^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4290$ |
$16$ |
$0$ |
$1.236959643$ |
$1$ |
|
$8$ |
$290304$ |
$1.897522$ |
$-2441851961344/3020875$ |
$[0, 1, 0, -301045, 63543975]$ |
\(y^2=x^3+x^2-301045x+63543975\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 330.8.0.?, 1430.2.0.?, 4290.16.0.? |
$[(-230, 10985), (290, 845)]$ |
37180.b2 |
37180i2 |
37180.b |
37180i |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 11^{3} \cdot 13^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4290$ |
$16$ |
$0$ |
$0.137439960$ |
$1$ |
|
$30$ |
$870912$ |
$2.446827$ |
$5814126903296/33794921875$ |
$[0, 1, 0, 401995, 295160503]$ |
\(y^2=x^3+x^2+401995x+295160503\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 330.8.0.?, 1430.2.0.?, 4290.16.0.? |
$[(-399, 8450), (121, 18590)]$ |
37180.c1 |
37180a1 |
37180.c |
37180a |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 5 \cdot 11^{3} \cdot 13^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1430$ |
$2$ |
$0$ |
$1.156465329$ |
$1$ |
|
$14$ |
$96768$ |
$1.448759$ |
$-1517101056/86515$ |
$[0, 0, 0, -25688, 1660932]$ |
\(y^2=x^3-25688x+1660932\) |
1430.2.0.? |
$[(104, 338), (-52, 1690)]$ |
37180.d1 |
37180e1 |
37180.d |
37180e |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 11 \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1430$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$179712$ |
$1.676020$ |
$1769472/1375$ |
$[0, 0, 0, 35152, 1485172]$ |
\(y^2=x^3+35152x+1485172\) |
1430.2.0.? |
$[]$ |
37180.e1 |
37180h1 |
37180.e |
37180h |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 11 \cdot 13^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1430$ |
$2$ |
$0$ |
$0.467686809$ |
$1$ |
|
$14$ |
$13824$ |
$0.393545$ |
$1769472/1375$ |
$[0, 0, 0, 208, 676]$ |
\(y^2=x^3+208x+676\) |
1430.2.0.? |
$[(0, 26), (52, 390)]$ |
37180.f1 |
37180c1 |
37180.f |
37180c |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{4} \cdot 5 \cdot 11 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$110$ |
$2$ |
$0$ |
$0.804127544$ |
$1$ |
|
$2$ |
$59904$ |
$1.037148$ |
$-1141504/55$ |
$[0, -1, 0, -5126, 148745]$ |
\(y^2=x^3-x^2-5126x+148745\) |
110.2.0.? |
$[(-56, 507)]$ |
37180.g1 |
37180b2 |
37180.g |
37180b |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$56448$ |
$1.083401$ |
$94875856/275$ |
$[0, -1, 0, -10196, 398696]$ |
\(y^2=x^3-x^2-10196x+398696\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? |
$[]$ |
37180.g2 |
37180b1 |
37180.g |
37180b |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$28224$ |
$0.736828$ |
$1048576/605$ |
$[0, -1, 0, -901, 870]$ |
\(y^2=x^3-x^2-901x+870\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? |
$[]$ |
37180.h1 |
37180f1 |
37180.h |
37180f |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{4} \cdot 5 \cdot 11^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$5720$ |
$48$ |
$0$ |
$9.697152596$ |
$1$ |
|
$1$ |
$177408$ |
$1.603476$ |
$97152876544/12371645$ |
$[0, -1, 0, -40785, -2786278]$ |
\(y^2=x^3-x^2-40785x-2786278\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 260.24.0.?, $\ldots$ |
$[(-21427/13, 1263153/13)]$ |
37180.h2 |
37180f2 |
37180.h |
37180f |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 11^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$5720$ |
$48$ |
$0$ |
$4.848576298$ |
$1$ |
|
$1$ |
$354816$ |
$1.950048$ |
$20777545136/86397025$ |
$[0, -1, 0, 61460, -14605800]$ |
\(y^2=x^3-x^2+61460x-14605800\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 440.24.0.?, 520.24.0.?, $\ldots$ |
$[(12418/3, 1401686/3)]$ |
37180.i1 |
37180g1 |
37180.i |
37180g |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{4} \cdot 5 \cdot 11 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$110$ |
$2$ |
$0$ |
$3.140440878$ |
$1$ |
|
$2$ |
$4608$ |
$-0.245327$ |
$-1141504/55$ |
$[0, -1, 0, -30, 77]$ |
\(y^2=x^3-x^2-30x+77\) |
110.2.0.? |
$[(23, 105)]$ |