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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 47320bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47320.u1 | 47320bf1 | \([0, -1, 0, -225, 10165]\) | \(-1024/35\) | \(-43248208640\) | \([]\) | \(37440\) | \(0.72114\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47320bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47320bf do not have complex multiplication.Modular form 47320.2.a.bf
sage: E.q_eigenform(10)