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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 70805.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70805.bh1 | 70805a1 | \([0, 0, 1, -3370318, 852269164]\) | \(6193152/3125\) | \(2136360965680569053125\) | \([]\) | \(4798080\) | \(2.7854\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70805.bh do not have complex multiplication.Modular form 70805.2.a.bh
sage: E.q_eigenform(10)