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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 242760n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
242760.n1 | 242760n1 | \([0, -1, 0, -96, -420]\) | \(-334084/105\) | \(-31073280\) | \([]\) | \(69120\) | \(0.15088\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 242760n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 242760n do not have complex multiplication.Modular form 242760.2.a.n
sage: E.q_eigenform(10)