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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 5265.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5265.n1 | 5265c1 | \([0, 0, 1, -1863, -17557]\) | \(1345572864/528125\) | \(280667278125\) | \([]\) | \(12960\) | \(0.89529\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5265.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5265.n do not have complex multiplication.Modular form 5265.2.a.n
sage: E.q_eigenform(10)