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 |
51870.bm3 |
51870bl2 |
51870.bm |
51870bl |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$34580$ |
$48$ |
$0$ |
$0.413341915$ |
$1$ |
|
$18$ |
$786432$ |
$2.131889$ |
$10435407396244021837801/301392303902726400$ |
$0.95514$ |
$4.66997$ |
$[1, 0, 1, -455263, 115207538]$ |
\(y^2+xy+y=x^3-455263x+115207538\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 76.12.0.?, 364.12.0.?, 380.24.0.?, $\ldots$ |
$[(7, 10580)]$ |
155610.dt3 |
155610bl2 |
155610.dt |
155610bl |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{8} \cdot 3^{14} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$103740$ |
$48$ |
$0$ |
$1.144704823$ |
$1$ |
|
$14$ |
$6291456$ |
$2.681198$ |
$10435407396244021837801/301392303902726400$ |
$0.95514$ |
$4.79219$ |
$[1, -1, 1, -4097363, -3110603533]$ |
\(y^2+xy+y=x^3-x^2-4097363x-3110603533\) |
2.6.0.a.1, 60.12.0-2.a.1.1, 228.12.0.?, 380.12.0.?, 1092.12.0.?, $\ldots$ |
$[(-1197, 9418)]$ |
259350.eo3 |
259350eo2 |
259350.eo |
259350eo |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 7^{6} \cdot 13^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$34580$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$18874368$ |
$2.936611$ |
$10435407396244021837801/301392303902726400$ |
$0.95514$ |
$4.84168$ |
$[1, 1, 1, -11381563, 14400942281]$ |
\(y^2+xy+y=x^3+x^2-11381563x+14400942281\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 380.24.0.?, 1820.24.0.?, 6916.24.0.?, $\ldots$ |
$[]$ |
363090.p3 |
363090p2 |
363090.p |
363090p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 7^{12} \cdot 13^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$34580$ |
$48$ |
$0$ |
$6.840196862$ |
$1$ |
|
$4$ |
$37748736$ |
$3.104847$ |
$10435407396244021837801/301392303902726400$ |
$0.95514$ |
$4.87213$ |
$[1, 1, 0, -22307863, -39538493483]$ |
\(y^2+xy=x^3+x^2-22307863x-39538493483\) |
2.6.0.a.1, 52.12.0-2.a.1.1, 140.12.0.?, 380.12.0.?, 532.12.0.?, $\ldots$ |
$[(21999/2, 494231/2)]$ |
414960.cv3 |
414960cv2 |
414960.cv |
414960cv |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$34580$ |
$48$ |
$0$ |
$10.05964891$ |
$1$ |
|
$5$ |
$18874368$ |
$2.825039$ |
$10435407396244021837801/301392303902726400$ |
$0.95514$ |
$4.56227$ |
$[0, -1, 0, -7284200, -7373282448]$ |
\(y^2=x^3-x^2-7284200x-7373282448\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 76.12.0.?, 364.12.0.?, 380.24.0.?, $\ldots$ |
$[(14788034, 56867696730)]$ |