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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 259182.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.bd1 | 259182bd1 | \([1, -1, 0, -196338555, 1057834332517]\) | \(44267613003805081/54092365824\) | \(1022799145176238033207296\) | \([]\) | \(52968960\) | \(3.5171\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 259182.bd do not have complex multiplication.Modular form 259182.2.a.bd
sage: E.q_eigenform(10)