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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 30960.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30960.bh1 | 30960by1 | \([0, 0, 0, -2907, 60426]\) | \(-909853209/1720\) | \(-5135892480\) | \([]\) | \(18432\) | \(0.75334\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30960.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30960.bh do not have complex multiplication.Modular form 30960.2.a.bh
sage: E.q_eigenform(10)