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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 309168.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.bh1 | 309168bh1 | \([0, 0, 0, -171867, 109485578]\) | \(-188024189228569/1625433309184\) | \(-4853517854290477056\) | \([]\) | \(3919104\) | \(2.2681\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168.bh1 has rank \(2\).
Complex multiplication
The elliptic curves in class 309168.bh do not have complex multiplication.Modular form 309168.2.a.bh
sage: E.q_eigenform(10)