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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 142296.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142296.n1 | 142296da1 | \([0, -1, 0, -2521801, 1063987597]\) | \(274717696/83349\) | \(538108782572186977536\) | \([]\) | \(6082560\) | \(2.6829\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142296.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 142296.n do not have complex multiplication.Modular form 142296.2.a.n
sage: E.q_eigenform(10)