Show commands:
SageMath
E = EllipticCurve("gy1")
E.isogeny_class()
Elliptic curves in class 111600gy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111600.a1 | 111600gy1 | \([0, 0, 0, -7269409875, -238559574208750]\) | \(-36422828671263791996785/239929786368\) | \(-279854102819635200000000\) | \([]\) | \(94003200\) | \(4.1015\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111600gy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 111600gy do not have complex multiplication.Modular form 111600.2.a.gy
sage: E.q_eigenform(10)