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 |
20535.a1 |
20535f1 |
20535.a |
20535f |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( - 3^{3} \cdot 5^{2} \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.249457343$ |
$1$ |
|
$6$ |
$3456$ |
$-0.172560$ |
$-81289/675$ |
$[1, 0, 0, -10, 47]$ |
\(y^2+xy=x^3-10x+47\) |
6.2.0.a.1 |
$[(-1, 8)]$ |
20535.b1 |
20535d1 |
20535.b |
20535d |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( - 3^{5} \cdot 5 \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1110$ |
$2$ |
$0$ |
$0.246880192$ |
$1$ |
|
$6$ |
$6480$ |
$0.184066$ |
$2097152/1215$ |
$[0, 1, 1, 99, 20]$ |
\(y^2+y=x^3+x^2+99x+20\) |
1110.2.0.? |
$[(12, 55)]$ |
20535.c1 |
20535b2 |
20535.c |
20535b |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( - 3^{5} \cdot 5 \cdot 37^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1110$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1723680$ |
$3.197094$ |
$-843013059301831868416/61543395$ |
$[0, 1, 1, -269426501, -1702281949489]$ |
\(y^2+y=x^3+x^2-269426501x-1702281949489\) |
3.4.0.a.1, 30.8.0-3.a.1.1, 111.8.0.?, 1110.16.0.? |
$[]$ |
20535.c2 |
20535b1 |
20535.c |
20535b |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( - 3^{15} \cdot 5^{3} \cdot 37^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1110$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$574560$ |
$2.647789$ |
$-1539038632738816/66363694875$ |
$[0, 1, 1, -3292901, -2385182854]$ |
\(y^2+y=x^3+x^2-3292901x-2385182854\) |
3.4.0.a.1, 30.8.0-3.a.1.2, 111.8.0.?, 1110.16.0.? |
$[]$ |
20535.d1 |
20535g1 |
20535.d |
20535g |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( - 3^{5} \cdot 5 \cdot 37^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1110$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$239760$ |
$1.989525$ |
$2097152/1215$ |
$[0, 1, 1, 135075, -597049]$ |
\(y^2+y=x^3+x^2+135075x-597049\) |
1110.2.0.? |
$[]$ |
20535.e1 |
20535e1 |
20535.e |
20535e |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( - 3 \cdot 5^{5} \cdot 37^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1110$ |
$2$ |
$0$ |
$1.094367529$ |
$1$ |
|
$0$ |
$82080$ |
$1.547514$ |
$-262144/346875$ |
$[0, 1, 1, -1825, -1436246]$ |
\(y^2+y=x^3+x^2-1825x-1436246\) |
1110.2.0.? |
$[(1144/3, 17099/3)]$ |
20535.f1 |
20535a7 |
20535.f |
20535a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( 3^{4} \cdot 5 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$17760$ |
$768$ |
$13$ |
$33.32714067$ |
$1$ |
|
$0$ |
$193536$ |
$2.096329$ |
$1114544804970241/405$ |
$[1, 1, 0, -2957068, -1958454593]$ |
\(y^2+xy=x^3+x^2-2957068x-1958454593\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(10953904529224693/248556, 1145034124948846243578881/248556)]$ |
20535.f2 |
20535a5 |
20535.f |
20535a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( 3^{8} \cdot 5^{2} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.123 |
2Cs |
$8880$ |
$768$ |
$13$ |
$16.66357033$ |
$1$ |
|
$2$ |
$96768$ |
$1.749756$ |
$272223782641/164025$ |
$[1, 1, 0, -184843, -30649328]$ |
\(y^2+xy=x^3+x^2-184843x-30649328\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$ |
$[(426150253/924, 847722211799/924)]$ |
20535.f3 |
20535a8 |
20535.f |
20535a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( - 3^{16} \cdot 5 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$17760$ |
$768$ |
$13$ |
$33.32714067$ |
$1$ |
|
$0$ |
$193536$ |
$2.096329$ |
$-147281603041/215233605$ |
$[1, 1, 0, -150618, -42306363]$ |
\(y^2+xy=x^3+x^2-150618x-42306363\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(24080104520276079/368530, 3732261230228320443036207/368530)]$ |
20535.f4 |
20535a4 |
20535.f |
20535a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( 3 \cdot 5 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$17760$ |
$768$ |
$13$ |
$8.331785168$ |
$1$ |
|
$0$ |
$48384$ |
$1.403181$ |
$56667352321/15$ |
$[1, 1, 0, -109548, 13910253]$ |
\(y^2+xy=x^3+x^2-109548x+13910253\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$ |
$[(6077/4, 322081/4)]$ |
20535.f5 |
20535a3 |
20535.f |
20535a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.44 |
2Cs |
$8880$ |
$768$ |
$13$ |
$8.331785168$ |
$1$ |
|
$2$ |
$48384$ |
$1.403181$ |
$111284641/50625$ |
$[1, 1, 0, -13718, -291753]$ |
\(y^2+xy=x^3+x^2-13718x-291753\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$ |
$[(-6169/10, 600491/10)]$ |
20535.f6 |
20535a2 |
20535.f |
20535a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.3 |
2Cs |
$8880$ |
$768$ |
$13$ |
$4.165892584$ |
$1$ |
|
$4$ |
$24192$ |
$1.056608$ |
$13997521/225$ |
$[1, 1, 0, -6873, 213408]$ |
\(y^2+xy=x^3+x^2-6873x+213408\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$ |
$[(-48, 684)]$ |
20535.f7 |
20535a1 |
20535.f |
20535a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( - 3 \cdot 5 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$17760$ |
$768$ |
$13$ |
$8.331785168$ |
$1$ |
|
$1$ |
$12096$ |
$0.710034$ |
$-1/15$ |
$[1, 1, 0, -28, 9427]$ |
\(y^2+xy=x^3+x^2-28x+9427\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$ |
$[(-1062/11, 132761/11)]$ |
20535.f8 |
20535a6 |
20535.f |
20535a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$17760$ |
$768$ |
$13$ |
$4.165892584$ |
$1$ |
|
$0$ |
$96768$ |
$1.749756$ |
$4733169839/3515625$ |
$[1, 1, 0, 47887, -2127582]$ |
\(y^2+xy=x^3+x^2+47887x-2127582\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(838/3, 46658/3)]$ |
20535.g1 |
20535c1 |
20535.g |
20535c |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( - 3^{3} \cdot 5^{2} \cdot 37^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$127872$ |
$1.632898$ |
$-81289/675$ |
$[1, 0, 1, -13719, 2421817]$ |
\(y^2+xy+y=x^3-13719x+2421817\) |
6.2.0.a.1 |
$[]$ |