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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 141570bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141570.cs1 | 141570bh1 | \([1, -1, 1, -23, -3099]\) | \(-121/390\) | \(-4162582710\) | \([]\) | \(107520\) | \(0.52473\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141570bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141570bh do not have complex multiplication.Modular form 141570.2.a.bh
sage: E.q_eigenform(10)