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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 215950.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215950.a1 | 215950n1 | \([1, 1, 0, -640, -8200]\) | \(-232494925949/82959352\) | \(-10369919000\) | \([]\) | \(136800\) | \(0.63268\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215950.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 215950.a do not have complex multiplication.Modular form 215950.2.a.a
sage: E.q_eigenform(10)