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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 11550.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11550.n1 | 11550r1 | \([1, 1, 0, -51425, -4510275]\) | \(-24064663400038825/1200348072\) | \(-750217545000\) | \([]\) | \(41184\) | \(1.3497\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11550.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11550.n do not have complex multiplication.Modular form 11550.2.a.n
sage: E.q_eigenform(10)