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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 10626n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10626.n1 | 10626n1 | \([1, 1, 1, -1266, -81789]\) | \(-224412099736609/2722801160772\) | \(-2722801160772\) | \([]\) | \(34272\) | \(1.0679\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10626n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10626n do not have complex multiplication.Modular form 10626.2.a.n
sage: E.q_eigenform(10)