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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 66240.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66240.n1 | 66240eo1 | \([0, 0, 0, -10128, -11705632]\) | \(-9619385344/4950372915\) | \(-59126937272893440\) | \([]\) | \(393216\) | \(1.8973\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66240.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66240.n do not have complex multiplication.Modular form 66240.2.a.n
sage: E.q_eigenform(10)