Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 273600.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273600.g1 | 273600g1 | \([0, 0, 0, -2100, 36200]\) | \(2195200/57\) | \(26593920000\) | \([]\) | \(331776\) | \(0.78216\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273600.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 273600.g do not have complex multiplication.Modular form 273600.2.a.g
sage: E.q_eigenform(10)