Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 1850.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1850.g1 | 1850d1 | \([1, -1, 0, -77617, 8944541]\) | \(-132384574175625/11484004352\) | \(-4485939200000000\) | \([]\) | \(22080\) | \(1.7476\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1850.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1850.g do not have complex multiplication.Modular form 1850.2.a.g
sage: E.q_eigenform(10)