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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 422331bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422331.bh1 | 422331bh1 | \([0, 1, 1, -44165, 13165793]\) | \(-16777216/122451\) | \(-69536157781672491\) | \([]\) | \(3151872\) | \(1.9148\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 422331bh do not have complex multiplication.Modular form 422331.2.a.bh
sage: E.q_eigenform(10)