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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 86394.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86394.y1 | 86394v1 | \([1, 0, 1, 118, -8956]\) | \(12562583/2379048\) | \(-34831641768\) | \([]\) | \(82944\) | \(0.70206\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86394.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 86394.y do not have complex multiplication.Modular form 86394.2.a.y
sage: E.q_eigenform(10)