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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 25050.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25050.n1 | 25050t1 | \([1, 1, 1, -3098, 65081]\) | \(-26306719916021/730458\) | \(-91307250\) | \([]\) | \(20160\) | \(0.63027\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25050.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25050.n do not have complex multiplication.Modular form 25050.2.a.n
sage: E.q_eigenform(10)