Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 6800.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6800.g1 | 6800x1 | \([0, -1, 0, -7208, -307088]\) | \(-5177717/2176\) | \(-17408000000000\) | \([]\) | \(13440\) | \(1.2486\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6800.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6800.g do not have complex multiplication.Modular form 6800.2.a.g
sage: E.q_eigenform(10)