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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 185130y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185130.dc1 | 185130y1 | \([1, -1, 1, 5422, -195973]\) | \(13651919/20570\) | \(-26565496122330\) | \([]\) | \(460800\) | \(1.2613\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185130y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 185130y do not have complex multiplication.Modular form 185130.2.a.y
sage: E.q_eigenform(10)