Show commands:
SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 236992.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
236992.y1 | 236992y1 | \([0, -1, 0, -178449, -32360615]\) | \(-340736/49\) | \(-90374635941567488\) | \([]\) | \(1695744\) | \(1.9842\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236992.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 236992.y do not have complex multiplication.Modular form 236992.2.a.y
sage: E.q_eigenform(10)