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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 376712.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
376712.bh1 | 376712bh1 | \([0, -1, 0, -769120, 257484396]\) | \(94178\) | \(534265496436180992\) | \([]\) | \(7297920\) | \(2.2177\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 376712.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 376712.bh do not have complex multiplication.Modular form 376712.2.a.bh
sage: E.q_eigenform(10)