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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 39600.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39600.n1 | 39600cn1 | \([0, 0, 0, -162000, -26392500]\) | \(-238878720/14641\) | \(-28817880300000000\) | \([]\) | \(345600\) | \(1.9129\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39600.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39600.n do not have complex multiplication.Modular form 39600.2.a.n
sage: E.q_eigenform(10)