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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 285912.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
285912.bh1 | 285912bh1 | \([0, 0, 0, -896724, 347422068]\) | \(-336393216/25289\) | \(-5994935570165490432\) | \([]\) | \(3732480\) | \(2.3516\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 285912.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 285912.bh do not have complex multiplication.Modular form 285912.2.a.bh
sage: E.q_eigenform(10)