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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 102850.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102850.a1 | 102850bz1 | \([1, -1, 0, -125197, -17549339]\) | \(-8099457597/295936\) | \(-7929563725952000\) | \([]\) | \(1478400\) | \(1.8221\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102850.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 102850.a do not have complex multiplication.Modular form 102850.2.a.a
sage: E.q_eigenform(10)