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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 304200.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
304200.bf1 | 304200bf1 | \([0, 0, 0, -316875, 216953750]\) | \(-2500/13\) | \(-18297467557200000000\) | \([]\) | \(5806080\) | \(2.3804\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304200.bf1 has rank \(2\).
Complex multiplication
The elliptic curves in class 304200.bf do not have complex multiplication.Modular form 304200.2.a.bf
sage: E.q_eigenform(10)