sage:E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 346560.s
sage:E.isogeny_class().curves
LMFDB label |
Cremona label |
Weierstrass coefficients |
j-invariant |
Discriminant |
Torsion structure |
Modular degree |
Faltings height |
Optimality |
346560.s1 |
346560s1 |
[0,−1,0,−11311,307465] |
19189812736/6328125 |
52780005000000 |
[] |
838656 |
1.3360
|
Γ0(N)-optimal |
sage:E.rank()
The elliptic curve 346560.s1 has
rank 1.
|
Bad L-factors: |
Prime |
L-Factor |
2 | 1 |
3 | 1+T |
5 | 1+T |
19 | 1 |
|
|
Good L-factors: |
Prime |
L-Factor |
Isogeny Class over Fp |
7 |
1+2T+7T2 |
1.7.c
|
11 |
1+T+11T2 |
1.11.b
|
13 |
1+13T2 |
1.13.a
|
17 |
1−6T+17T2 |
1.17.ag
|
23 |
1+6T+23T2 |
1.23.g
|
29 |
1−3T+29T2 |
1.29.ad
|
⋯ | ⋯ | ⋯ |
|
|
See L-function page for more information |
The elliptic curves in class 346560.s do not have complex multiplication.
sage:E.q_eigenform(10)