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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 273600e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273600.e1 | 273600e1 | \([0, 0, 0, -115500, 15005000]\) | \(584362240/4617\) | \(1346317200000000\) | \([]\) | \(1843200\) | \(1.7310\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273600e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 273600e do not have complex multiplication.Modular form 273600.2.a.e
sage: E.q_eigenform(10)