| 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 |
| 5577.b1 |
5577f1 |
5577.b |
5577f |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 13^{2} \) |
\( - 3^{3} \cdot 11^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16848$ |
$1.501127$ |
$5537792/3267$ |
$1.08782$ |
$4.77332$ |
$[0, -1, 1, 19041, -147301]$ |
\(y^2+y=x^3-x^2+19041x-147301\) |
6.2.0.a.1 |
$[ ]$ |
| 5577.e1 |
5577a1 |
5577.e |
5577a |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 13^{2} \) |
\( - 3^{3} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.427973017$ |
$1$ |
|
$2$ |
$1296$ |
$0.218653$ |
$5537792/3267$ |
$1.08782$ |
$2.98930$ |
$[0, -1, 1, 113, -102]$ |
\(y^2+y=x^3-x^2+113x-102\) |
6.2.0.a.1 |
$[(6, 27)]$ |
| 16731.g1 |
16731j1 |
16731.g |
16731j |
$1$ |
$1$ |
\( 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{9} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.611204160$ |
$1$ |
|
$4$ |
$10368$ |
$0.767960$ |
$5537792/3267$ |
$1.08782$ |
$3.32941$ |
$[0, 0, 1, 1014, 1732]$ |
\(y^2+y=x^3+1014x+1732\) |
6.2.0.a.1 |
$[(16, 148)]$ |
| 16731.i1 |
16731f1 |
16731.i |
16731f |
$1$ |
$1$ |
\( 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{9} \cdot 11^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$134784$ |
$2.050434$ |
$5537792/3267$ |
$1.08782$ |
$4.91190$ |
$[0, 0, 1, 171366, 3805753]$ |
\(y^2+y=x^3+171366x+3805753\) |
6.2.0.a.1 |
$[ ]$ |
| 61347.n1 |
61347c1 |
61347.n |
61347c |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 11^{8} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2021760$ |
$2.700077$ |
$5537792/3267$ |
$1.08782$ |
$5.04014$ |
$[0, -1, 1, 2303921, 186841566]$ |
\(y^2+y=x^3-x^2+2303921x+186841566\) |
6.2.0.a.1 |
$[ ]$ |
| 61347.q1 |
61347a1 |
61347.q |
61347a |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 11^{8} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$155520$ |
$1.417601$ |
$5537792/3267$ |
$1.08782$ |
$3.64416$ |
$[0, -1, 1, 13633, 80849]$ |
\(y^2+y=x^3-x^2+13633x+80849\) |
6.2.0.a.1 |
$[ ]$ |
| 89232.bp1 |
89232bz1 |
89232.bp |
89232bz |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 11^{2} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$6.659489464$ |
$1$ |
|
$0$ |
$1213056$ |
$2.194275$ |
$5537792/3267$ |
$1.08782$ |
$4.34199$ |
$[0, 1, 0, 304651, 9122595]$ |
\(y^2=x^3+x^2+304651x+9122595\) |
6.2.0.a.1 |
$[(4045/2, 294195/2)]$ |
| 89232.cn1 |
89232cn1 |
89232.cn |
89232cn |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 11^{2} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$93312$ |
$0.911800$ |
$5537792/3267$ |
$1.08782$ |
$2.99190$ |
$[0, 1, 0, 1803, 4707]$ |
\(y^2=x^3+x^2+1803x+4707\) |
6.2.0.a.1 |
$[ ]$ |
| 139425.z1 |
139425x1 |
139425.z |
139425x |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{6} \cdot 11^{2} \cdot 13^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.660516149$ |
$1$ |
|
$14$ |
$165888$ |
$1.023373$ |
$5537792/3267$ |
$1.08782$ |
$2.99221$ |
$[0, 1, 1, 2817, -7081]$ |
\(y^2+y=x^3+x^2+2817x-7081\) |
6.2.0.a.1 |
$[(303, 5362), (17, 214)]$ |
| 139425.bf1 |
139425y1 |
139425.bf |
139425y |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{6} \cdot 11^{2} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.729812252$ |
$1$ |
|
$2$ |
$2156544$ |
$2.305847$ |
$5537792/3267$ |
$1.08782$ |
$4.29143$ |
$[0, 1, 1, 476017, -17460556]$ |
\(y^2+y=x^3+x^2+476017x-17460556\) |
6.2.0.a.1 |
$[(718, 26362)]$ |
| 184041.r1 |
184041p1 |
184041.r |
184041p |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 11^{8} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.790741358$ |
$1$ |
|
$4$ |
$1244160$ |
$1.966908$ |
$5537792/3267$ |
$1.08782$ |
$3.85765$ |
$[0, 0, 1, 122694, -2305625]$ |
\(y^2+y=x^3+122694x-2305625\) |
6.2.0.a.1 |
$[(715, 21235)]$ |
| 184041.bh1 |
184041x1 |
184041.bh |
184041x |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 11^{8} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$15.49315410$ |
$1$ |
|
$0$ |
$16174080$ |
$3.249382$ |
$5537792/3267$ |
$1.08782$ |
$5.12712$ |
$[0, 0, 1, 20735286, -5065457576]$ |
\(y^2+y=x^3+20735286x-5065457576\) |
6.2.0.a.1 |
$[(40358956/293, 1740224597792/293)]$ |
| 267696.bd1 |
267696bd1 |
267696.bd |
267696bd |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$5.382140003$ |
$1$ |
|
$0$ |
$746496$ |
$1.461107$ |
$5537792/3267$ |
$1.08782$ |
$3.25633$ |
$[0, 0, 0, 16224, -110864]$ |
\(y^2=x^3+16224x-110864\) |
6.2.0.a.1 |
$[(329/4, 30789/4)]$ |
| 267696.fg1 |
267696fg1 |
267696.fg |
267696fg |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 11^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$9704448$ |
$2.743580$ |
$5537792/3267$ |
$1.08782$ |
$4.48774$ |
$[0, 0, 0, 2741856, -243568208]$ |
\(y^2=x^3+2741856x-243568208\) |
6.2.0.a.1 |
$[ ]$ |
| 273273.bb1 |
273273bb1 |
273273.bb |
273273bb |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{3} \cdot 7^{6} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.718745489$ |
$1$ |
|
$4$ |
$489888$ |
$1.191608$ |
$5537792/3267$ |
$1.08782$ |
$2.99263$ |
$[0, 1, 1, 5521, 23846]$ |
\(y^2+y=x^3+x^2+5521x+23846\) |
6.2.0.a.1 |
$[(4, 214)]$ |
| 273273.bh1 |
273273bh1 |
273273.bh |
273273bh |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{3} \cdot 7^{6} \cdot 11^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6368544$ |
$2.474083$ |
$5537792/3267$ |
$1.08782$ |
$4.22201$ |
$[0, 1, 1, 932993, 48658159]$ |
\(y^2+y=x^3+x^2+932993x+48658159\) |
6.2.0.a.1 |
$[ ]$ |
| 356928.s1 |
356928s1 |
356928.s |
356928s |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 11^{2} \cdot 13^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.137777186$ |
$1$ |
|
$4$ |
$186624$ |
$0.565227$ |
$5537792/3267$ |
$1.08782$ |
$2.34221$ |
$[0, -1, 0, 451, 363]$ |
\(y^2=x^3-x^2+451x+363\) |
6.2.0.a.1 |
$[(22, 143), (6, 57)]$ |
| 356928.dm1 |
356928dm1 |
356928.dm |
356928dm |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 11^{2} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$21.73736269$ |
$1$ |
|
$0$ |
$2426112$ |
$1.847702$ |
$5537792/3267$ |
$1.08782$ |
$3.54591$ |
$[0, -1, 0, 76163, 1102243]$ |
\(y^2=x^3-x^2+76163x+1102243\) |
6.2.0.a.1 |
$[(1978887574/2127, 104491737987317/2127)]$ |
| 356928.fg1 |
356928fg1 |
356928.fg |
356928fg |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.695708564$ |
$1$ |
|
$2$ |
$186624$ |
$0.565227$ |
$5537792/3267$ |
$1.08782$ |
$2.34221$ |
$[0, 1, 0, 451, -363]$ |
\(y^2=x^3+x^2+451x-363\) |
6.2.0.a.1 |
$[(4, 39)]$ |
| 356928.hk1 |
356928hk1 |
356928.hk |
356928hk |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 11^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2426112$ |
$1.847702$ |
$5537792/3267$ |
$1.08782$ |
$3.54591$ |
$[0, 1, 0, 76163, -1102243]$ |
\(y^2=x^3+x^2+76163x-1102243\) |
6.2.0.a.1 |
$[ ]$ |
| 418275.bi1 |
418275bi1 |
418275.bi |
418275bi |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{6} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.875063623$ |
$1$ |
|
$4$ |
$1327104$ |
$1.572678$ |
$5537792/3267$ |
$1.08782$ |
$3.24749$ |
$[0, 0, 1, 25350, 216531]$ |
\(y^2+y=x^3+25350x+216531\) |
6.2.0.a.1 |
$[(65, 1462)]$ |
| 418275.br1 |
418275br1 |
418275.br |
418275br |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{6} \cdot 11^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$17252352$ |
$2.855152$ |
$5537792/3267$ |
$1.08782$ |
$4.43645$ |
$[0, 0, 1, 4284150, 475719156]$ |
\(y^2+y=x^3+4284150x+475719156\) |
6.2.0.a.1 |
$[ ]$ |
