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SageMath
E = EllipticCurve("en1")
E.isogeny_class()
Elliptic curves in class 296208en
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
296208.en1 | 296208en1 | \([0, 0, 0, -11112519, 364458413]\) | \(501633924352/290107737\) | \(87767489076903831297168\) | \([]\) | \(20275200\) | \(3.0919\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296208en1 has rank \(0\).
Complex multiplication
The elliptic curves in class 296208en do not have complex multiplication.Modular form 296208.2.a.en
sage: E.q_eigenform(10)