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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 1890.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1890.n1 | 1890n1 | \([1, -1, 1, -217838, 39212317]\) | \(-58080650754563163/42017500000\) | \(-827030452500000\) | \([]\) | \(12600\) | \(1.7973\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1890.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1890.n do not have complex multiplication.Modular form 1890.2.a.n
sage: E.q_eigenform(10)