Show commands:
SageMath
E = EllipticCurve("gy1")
E.isogeny_class()
Elliptic curves in class 303450gy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.gy1 | 303450gy1 | \([1, 0, 0, -3763, 120017]\) | \(-2088025/1008\) | \(-2844843750000\) | \([]\) | \(622080\) | \(1.0953\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450gy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303450gy do not have complex multiplication.Modular form 303450.2.a.gy
sage: E.q_eigenform(10)