Show commands:
SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 3150.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3150.bf1 | 3150ba1 | \([1, -1, 1, 9070, 951697]\) | \(10733445/57344\) | \(-440899200000000\) | \([]\) | \(18720\) | \(1.4921\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3150.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3150.bf do not have complex multiplication.Modular form 3150.2.a.bf
sage: E.q_eigenform(10)