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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 402930.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
402930.bh1 | 402930bh1 | \([1, -1, 0, 246636, 38254288]\) | \(155451120763631/149381775360\) | \(-1594394859750359040\) | \([]\) | \(9732096\) | \(2.1798\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 402930.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 402930.bh do not have complex multiplication.Modular form 402930.2.a.bh
sage: E.q_eigenform(10)