| 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 |
| 18207.a1 |
18207g1 |
18207.a |
18207g |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 3^{7} \cdot 7^{2} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.394272758$ |
$1$ |
|
$4$ |
$110592$ |
$1.777662$ |
$841232384/722211$ |
$0.90829$ |
$4.49983$ |
$[0, 0, 1, 51153, 3096418]$ |
\(y^2+y=x^3+51153x+3096418\) |
102.2.0.? |
$[(391, 9103)]$ |
| 18207.b1 |
18207a1 |
18207.b |
18207a |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 3^{7} \cdot 7^{4} \cdot 17^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.483818410$ |
$1$ |
|
$14$ |
$73728$ |
$1.625299$ |
$-16777216/122451$ |
$1.06893$ |
$4.36691$ |
$[0, 0, 1, -13872, 2320164]$ |
\(y^2+y=x^3-13872x+2320164\) |
102.2.0.? |
$[(68, 1300), (1598, 63724)]$ |
| 18207.c1 |
18207d1 |
18207.c |
18207d |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 3^{23} \cdot 7^{4} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.364299523$ |
$1$ |
|
$4$ |
$1253376$ |
$3.093735$ |
$5009339741732864/5271114033171$ |
$1.04955$ |
$6.09008$ |
$[0, 0, 1, 9271698, -9829771956]$ |
\(y^2+y=x^3+9271698x-9829771956\) |
102.2.0.? |
$[(41684, 8532580)]$ |
| 18207.d1 |
18207c1 |
18207.d |
18207c |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 3^{6} \cdot 7^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$2.579344500$ |
$1$ |
|
$2$ |
$102816$ |
$1.614746$ |
$610929/343$ |
$0.94788$ |
$4.34067$ |
$[1, -1, 0, -30399, 359954]$ |
\(y^2+xy=x^3-x^2-30399x+359954\) |
28.2.0.a.1 |
$[(506, 10440)]$ |
| 18207.e1 |
18207e5 |
18207.e |
18207e |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 3^{7} \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$5712$ |
$192$ |
$1$ |
$4.979093106$ |
$1$ |
|
$0$ |
$147456$ |
$2.040119$ |
$53297461115137/147$ |
$1.05087$ |
$5.62695$ |
$[1, -1, 0, -2039238, 1121366389]$ |
\(y^2+xy=x^3-x^2-2039238x+1121366389\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$ |
$[(3399/2, 6611/2)]$ |
| 18207.e2 |
18207e4 |
18207.e |
18207e |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 3^{8} \cdot 7^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$2856$ |
$192$ |
$1$ |
$2.489546553$ |
$1$ |
|
$4$ |
$73728$ |
$1.693544$ |
$13027640977/21609$ |
$1.08149$ |
$4.77914$ |
$[1, -1, 0, -127503, 17530600]$ |
\(y^2+xy=x^3-x^2-127503x+17530600\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
$[(344, 3608)]$ |
| 18207.e3 |
18207e3 |
18207.e |
18207e |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 3^{14} \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$5712$ |
$192$ |
$1$ |
$9.958186213$ |
$1$ |
|
$0$ |
$73728$ |
$1.693544$ |
$6570725617/45927$ |
$1.00160$ |
$4.70937$ |
$[1, -1, 0, -101493, -12344486]$ |
\(y^2+xy=x^3-x^2-101493x-12344486\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(552011/10, 406643429/10)]$ |
| 18207.e4 |
18207e6 |
18207.e |
18207e |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 3^{7} \cdot 7^{8} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$5712$ |
$192$ |
$1$ |
$1.244773276$ |
$1$ |
|
$4$ |
$147456$ |
$2.040119$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.87765$ |
$[1, -1, 0, -88488, 28431391]$ |
\(y^2+xy=x^3-x^2-88488x+28431391\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(-142, 6245)]$ |
| 18207.e5 |
18207e2 |
18207.e |
18207e |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 3^{10} \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$2856$ |
$192$ |
$1$ |
$4.979093106$ |
$1$ |
|
$2$ |
$36864$ |
$1.346972$ |
$7189057/3969$ |
$1.14862$ |
$4.01435$ |
$[1, -1, 0, -10458, 90895]$ |
\(y^2+xy=x^3-x^2-10458x+90895\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(441/8, 69041/8)]$ |
| 18207.e6 |
18207e1 |
18207.e |
18207e |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 3^{8} \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$5712$ |
$192$ |
$1$ |
$9.958186213$ |
$1$ |
|
$1$ |
$18432$ |
$1.000397$ |
$103823/63$ |
$0.97868$ |
$3.58236$ |
$[1, -1, 0, 2547, 10264]$ |
\(y^2+xy=x^3-x^2+2547x+10264\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
$[(-2596/35, 3032422/35)]$ |
| 18207.f1 |
18207f1 |
18207.f |
18207f |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 3^{6} \cdot 7^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1.576750653$ |
$1$ |
|
$2$ |
$6048$ |
$0.198139$ |
$610929/343$ |
$0.94788$ |
$2.60775$ |
$[1, -1, 0, -105, 98]$ |
\(y^2+xy=x^3-x^2-105x+98\) |
28.2.0.a.1 |
$[(14, 28)]$ |
| 18207.g1 |
18207b1 |
18207.g |
18207b |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 3^{13} \cdot 7^{2} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$258048$ |
$1.888105$ |
$-8390176768/1821771$ |
$0.90870$ |
$4.76677$ |
$[0, 0, 1, -110109, -16491713]$ |
\(y^2+y=x^3-110109x-16491713\) |
102.2.0.? |
$[]$ |
