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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 84966.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84966.bd1 | 84966ba1 | \([1, 1, 0, -75681, -6041223]\) | \(34543481/8748\) | \(12140482258652076\) | \([]\) | \(752640\) | \(1.7960\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84966.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84966.bd do not have complex multiplication.Modular form 84966.2.a.bd
sage: E.q_eigenform(10)