| 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 |
| 11055.d3 |
11055d1 |
11055.d |
11055d |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 11 \cdot 67 \) |
\( 3 \cdot 5^{2} \cdot 11^{4} \cdot 67 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$17688$ |
$48$ |
$0$ |
$3.309906056$ |
$1$ |
|
$5$ |
$5888$ |
$0.223222$ |
$337298881681/73571025$ |
$0.83244$ |
$2.85096$ |
$[1, 1, 1, -145, 470]$ |
\(y^2+xy+y=x^3+x^2-145x+470\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 88.24.0.?, 402.6.0.?, 804.24.0.?, $\ldots$ |
$[(58, 408)]$ |
| 33165.k3 |
33165k1 |
33165.k |
33165k |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 67 \) |
\( 3^{7} \cdot 5^{2} \cdot 11^{4} \cdot 67 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17688$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$47104$ |
$0.772529$ |
$337298881681/73571025$ |
$0.83244$ |
$3.18331$ |
$[1, -1, 0, -1305, -14000]$ |
\(y^2+xy=x^3-x^2-1305x-14000\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 264.24.0.?, $\ldots$ |
$[ ]$ |
| 55275.m3 |
55275o1 |
55275.m |
55275o |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 11 \cdot 67 \) |
\( 3 \cdot 5^{8} \cdot 11^{4} \cdot 67 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$88440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$141312$ |
$1.027941$ |
$337298881681/73571025$ |
$0.83244$ |
$3.31507$ |
$[1, 0, 1, -3626, 66023]$ |
\(y^2+xy+y=x^3-3626x+66023\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 88.12.0.?, 402.6.0.?, $\ldots$ |
$[ ]$ |
| 121605.i3 |
121605f1 |
121605.i |
121605f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 11^{2} \cdot 67 \) |
\( 3 \cdot 5^{2} \cdot 11^{10} \cdot 67 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$17688$ |
$48$ |
$0$ |
$4.612184475$ |
$1$ |
|
$3$ |
$706560$ |
$1.422171$ |
$337298881681/73571025$ |
$0.83244$ |
$3.49588$ |
$[1, 1, 0, -17547, -713544]$ |
\(y^2+xy=x^3+x^2-17547x-713544\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$ |
$[(152, 324)]$ |
| 165825.e3 |
165825g1 |
165825.e |
165825g |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 67 \) |
\( 3^{7} \cdot 5^{8} \cdot 11^{4} \cdot 67 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$88440$ |
$48$ |
$0$ |
$1.295684514$ |
$1$ |
|
$7$ |
$1130496$ |
$1.577248$ |
$337298881681/73571025$ |
$0.83244$ |
$3.56050$ |
$[1, -1, 1, -32630, -1782628]$ |
\(y^2+xy+y=x^3-x^2-32630x-1782628\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 88.12.0.?, 402.6.0.?, $\ldots$ |
$[(-126, 625)]$ |
| 176880.cc3 |
176880a1 |
176880.cc |
176880a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 67 \) |
\( 2^{12} \cdot 3 \cdot 5^{2} \cdot 11^{4} \cdot 67 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$17688$ |
$48$ |
$0$ |
$2.698749191$ |
$1$ |
|
$3$ |
$376832$ |
$0.916369$ |
$337298881681/73571025$ |
$0.83244$ |
$2.88516$ |
$[0, 1, 0, -2320, -34732]$ |
\(y^2=x^3+x^2-2320x-34732\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 88.24.0.?, 402.6.0.?, 804.24.0.?, $\ldots$ |
$[(106, 960)]$ |
| 364815.e3 |
364815e1 |
364815.e |
364815e |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 67 \) |
\( 3^{7} \cdot 5^{2} \cdot 11^{10} \cdot 67 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17688$ |
$48$ |
$0$ |
$3.371837452$ |
$1$ |
|
$3$ |
$5652480$ |
$1.971476$ |
$337298881681/73571025$ |
$0.83244$ |
$3.71068$ |
$[1, -1, 1, -157928, 19107762]$ |
\(y^2+xy+y=x^3-x^2-157928x+19107762\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 88.12.0.?, 132.12.0.?, $\ldots$ |
$[(135, 416)]$ |
