| 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 |
| 1479.a1 |
1479a1 |
1479.a |
1479a |
$1$ |
$1$ |
\( 3 \cdot 17 \cdot 29 \) |
\( - 3^{5} \cdot 17 \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.526854604$ |
$1$ |
|
$6$ |
$320$ |
$-0.062309$ |
$841232384/3474171$ |
$0.86700$ |
$3.06401$ |
$[0, -1, 1, 20, -90]$ |
\(y^2+y=x^3-x^2+20x-90\) |
102.2.0.? |
$[(6, 14)]$ |
| 1479.b1 |
1479g1 |
1479.b |
1479g |
$1$ |
$1$ |
\( 3 \cdot 17 \cdot 29 \) |
\( - 3^{13} \cdot 17 \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.108899297$ |
$1$ |
|
$10$ |
$2080$ |
$0.669683$ |
$-2233706549248/22794035931$ |
$0.96122$ |
$4.29636$ |
$[0, 1, 1, -272, -7558]$ |
\(y^2+y=x^3+x^2-272x-7558\) |
102.2.0.? |
$[(112, 1174)]$ |
| 1479.c1 |
1479f1 |
1479.c |
1479f |
$2$ |
$5$ |
\( 3 \cdot 17 \cdot 29 \) |
\( - 3^{5} \cdot 17^{5} \cdot 29^{2} \) |
$1$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$510$ |
$48$ |
$1$ |
$0.890433144$ |
$1$ |
|
$10$ |
$2400$ |
$1.012213$ |
$-24737814642405376/290166236091$ |
$0.97116$ |
$5.17421$ |
$[0, 1, 1, -6070, 181852]$ |
\(y^2+y=x^3+x^2-6070x+181852\) |
5.24.0-5.a.1.2, 102.2.0.?, 510.48.1.? |
$[(44, 43)]$ |
| 1479.c2 |
1479f2 |
1479.c |
1479f |
$2$ |
$5$ |
\( 3 \cdot 17 \cdot 29 \) |
\( - 3 \cdot 17 \cdot 29^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$510$ |
$48$ |
$1$ |
$4.452165721$ |
$1$ |
|
$0$ |
$12000$ |
$1.816933$ |
$6722846486548803584/21456068898310251$ |
$1.02199$ |
$6.14587$ |
$[0, 1, 1, 39320, -6363488]$ |
\(y^2+y=x^3+x^2+39320x-6363488\) |
5.24.0-5.a.2.2, 102.2.0.?, 510.48.1.? |
$[(257149/30, 143564543/30)]$ |
| 1479.d1 |
1479c1 |
1479.d |
1479c |
$1$ |
$1$ |
\( 3 \cdot 17 \cdot 29 \) |
\( - 3 \cdot 17 \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.254491804$ |
$1$ |
|
$4$ |
$160$ |
$-0.362400$ |
$-575930368/42891$ |
$0.86628$ |
$2.78014$ |
$[0, -1, 1, -17, 35]$ |
\(y^2+y=x^3-x^2-17x+35\) |
102.2.0.? |
$[(7, 14)]$ |
| 1479.e1 |
1479b1 |
1479.e |
1479b |
$1$ |
$1$ |
\( 3 \cdot 17 \cdot 29 \) |
\( - 3^{3} \cdot 17^{7} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.215822563$ |
$1$ |
|
$4$ |
$2016$ |
$1.199356$ |
$-26043834513719296/9317560247811$ |
$0.99808$ |
$5.24445$ |
$[0, -1, 1, -6175, 239664]$ |
\(y^2+y=x^3-x^2-6175x+239664\) |
102.2.0.? |
$[(54, 246)]$ |
| 1479.f1 |
1479e1 |
1479.f |
1479e |
$1$ |
$1$ |
\( 3 \cdot 17 \cdot 29 \) |
\( - 3^{4} \cdot 17 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1972$ |
$2$ |
$0$ |
$0.418372155$ |
$1$ |
|
$4$ |
$96$ |
$-0.427740$ |
$67419143/39933$ |
$0.85385$ |
$2.46967$ |
$[1, 0, 1, 8, -1]$ |
\(y^2+xy+y=x^3+8x-1\) |
1972.2.0.? |
$[(1, 2)]$ |
| 1479.g1 |
1479d4 |
1479.g |
1479d |
$4$ |
$4$ |
\( 3 \cdot 17 \cdot 29 \) |
\( 3^{5} \cdot 17 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$11832$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2240$ |
$1.055744$ |
$1185553563855028633/2921777811$ |
$0.97525$ |
$5.70161$ |
$[1, 0, 1, -22050, 1258381]$ |
\(y^2+xy+y=x^3-22050x+1258381\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 68.12.0-4.c.1.2, 204.24.0.?, $\ldots$ |
$[]$ |
| 1479.g2 |
1479d3 |
1479.g |
1479d |
$4$ |
$4$ |
\( 3 \cdot 17 \cdot 29 \) |
\( 3^{20} \cdot 17 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$11832$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2240$ |
$1.055744$ |
$6358049149169593/1718984709693$ |
$0.95756$ |
$4.98533$ |
$[1, 0, 1, -3860, -67687]$ |
\(y^2+xy+y=x^3-3860x-67687\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 68.12.0-4.c.1.1, 116.12.0.?, $\ldots$ |
$[]$ |
| 1479.g3 |
1479d2 |
1479.g |
1479d |
$4$ |
$4$ |
\( 3 \cdot 17 \cdot 29 \) |
\( 3^{10} \cdot 17^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$5916$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1120$ |
$0.709171$ |
$299915376518953/14351800401$ |
$0.93301$ |
$4.56692$ |
$[1, 0, 1, -1395, 19081]$ |
\(y^2+xy+y=x^3-1395x+19081\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 68.12.0-2.a.1.1, 116.12.0.?, 204.24.0.?, $\ldots$ |
$[]$ |
| 1479.g4 |
1479d1 |
1479.g |
1479d |
$4$ |
$4$ |
\( 3 \cdot 17 \cdot 29 \) |
\( - 3^{5} \cdot 17^{4} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$11832$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$560$ |
$0.362598$ |
$14225260967/588572487$ |
$0.99971$ |
$3.78591$ |
$[1, 0, 1, 50, 1163]$ |
\(y^2+xy+y=x^3+50x+1163\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 116.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
