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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 259920n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259920.n1 | 259920n1 | \([0, 0, 0, 20577, -2345778]\) | \(8208/25\) | \(-2934759693484800\) | \([]\) | \(1225728\) | \(1.6513\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259920n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259920n do not have complex multiplication.Modular form 259920.2.a.n
sage: E.q_eigenform(10)