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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 88935.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88935.y1 | 88935l1 | \([0, -1, 1, 3229329, 1164295901]\) | \(17869652393984/13156171875\) | \(-2742040655047461796875\) | \([]\) | \(4515840\) | \(2.8019\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88935.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88935.y do not have complex multiplication.Modular form 88935.2.a.y
sage: E.q_eigenform(10)