Show commands:
SageMath
E = EllipticCurve("ny1")
E.isogeny_class()
Elliptic curves in class 458640.ny
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
458640.ny1 | 458640ny1 | \([0, 0, 0, 140973, 4691554]\) | \(71997884/43875\) | \(-188811713930112000\) | \([]\) | \(5031936\) | \(2.0042\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 458640.ny1 has rank \(1\).
Complex multiplication
The elliptic curves in class 458640.ny do not have complex multiplication.Modular form 458640.2.a.ny
sage: E.q_eigenform(10)