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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 164738.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
164738.bd1 | 164738f1 | \([1, 1, 1, -1731465, -93776201]\) | \(1027243729/587776\) | \(328475686860350224384\) | \([]\) | \(7096320\) | \(2.6265\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 164738.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 164738.bd do not have complex multiplication.Modular form 164738.2.a.bd
sage: E.q_eigenform(10)