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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 141570.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141570.y1 | 141570ej1 | \([1, -1, 0, -37230, 2773700]\) | \(534701144241/130000\) | \(1387527570000\) | \([]\) | \(365568\) | \(1.3184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141570.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141570.y do not have complex multiplication.Modular form 141570.2.a.y
sage: E.q_eigenform(10)