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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 230384.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
230384.bf1 | 230384bf1 | \([0, -1, 0, -22832, -1356320]\) | \(-5312014819826/168962983\) | \(-41870378891264\) | \([]\) | \(691200\) | \(1.3898\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 230384.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 230384.bf do not have complex multiplication.Modular form 230384.2.a.bf
sage: E.q_eigenform(10)