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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 88935.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88935.r1 | 88935bb1 | \([1, 1, 1, -85, -1660]\) | \(-1042139/16875\) | \(-1100570625\) | \([]\) | \(34560\) | \(0.41620\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88935.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88935.r do not have complex multiplication.Modular form 88935.2.a.r
sage: E.q_eigenform(10)