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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 84525.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84525.bh1 | 84525a1 | \([0, -1, 1, 8167, 2835818]\) | \(1605632000/93710763\) | \(-3515617843171875\) | \([]\) | \(304128\) | \(1.6626\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84525.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84525.bh do not have complex multiplication.Modular form 84525.2.a.bh
sage: E.q_eigenform(10)