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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 350658.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.n1 | 350658n1 | \([1, -1, 0, -1564008, -476444864]\) | \(73103056140411/25333661696\) | \(146623375065252298752\) | \([]\) | \(12165120\) | \(2.5712\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 350658.n do not have complex multiplication.Modular form 350658.2.a.n
sage: E.q_eigenform(10)