Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 111600.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111600.w1 | 111600q1 | \([0, 0, 0, 1125, -23750]\) | \(14580/31\) | \(-334800000000\) | \([]\) | \(145920\) | \(0.89568\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111600.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 111600.w do not have complex multiplication.Modular form 111600.2.a.w
sage: E.q_eigenform(10)