sage:E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 103428.b
sage:E.isogeny_class().curves
LMFDB label |
Cremona label |
Weierstrass coefficients |
j-invariant |
Discriminant |
Torsion structure |
Modular degree |
Faltings height |
Optimality |
103428.b1 |
103428n1 |
[0,0,0,−624,−6019] |
−13631488/51 |
−100532016 |
[] |
35712 |
0.39531
|
Γ0(N)-optimal |
sage:E.rank()
The elliptic curve 103428.b1 has
rank 1.
|
Bad L-factors: |
Prime |
L-Factor |
2 | 1 |
3 | 1 |
13 | 1 |
17 | 1+T |
|
|
Good L-factors: |
Prime |
L-Factor |
Isogeny Class over Fp |
5 |
1+3T+5T2 |
1.5.d
|
7 |
1+4T+7T2 |
1.7.e
|
11 |
1−T+11T2 |
1.11.ab
|
19 |
1+4T+19T2 |
1.19.e
|
23 |
1+3T+23T2 |
1.23.d
|
29 |
1+3T+29T2 |
1.29.d
|
⋯ | ⋯ | ⋯ |
|
|
See L-function page for more information |
The elliptic curves in class 103428.b do not have complex multiplication.
sage:E.q_eigenform(10)