Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 1600.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1600.g1 | 1600k1 | \([0, -1, 0, -833, -10463]\) | \(-5000\) | \(-12800000000\) | \([]\) | \(960\) | \(0.66216\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1600.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1600.g do not have complex multiplication.Modular form 1600.2.a.g
sage: E.q_eigenform(10)