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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 271440.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271440.n1 | 271440n1 | \([0, 0, 0, 428037, 455842762]\) | \(5809117569025678/63486938311875\) | \(-94785491004122880000\) | \([]\) | \(7188480\) | \(2.5142\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271440.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 271440.n do not have complex multiplication.Modular form 271440.2.a.n
sage: E.q_eigenform(10)