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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 12882.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12882.n1 | 12882l1 | \([1, 0, 0, -3410567, -1048093047]\) | \(4387362075365553105987313/2064688435007280119808\) | \(2064688435007280119808\) | \([]\) | \(816480\) | \(2.7842\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12882.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12882.n do not have complex multiplication.Modular form 12882.2.a.n
sage: E.q_eigenform(10)