Show commands:
SageMath
E = EllipticCurve("gw1")
E.isogeny_class()
Elliptic curves in class 58800.gw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.gw1 | 58800el1 | \([0, 1, 0, 8167, -29037]\) | \(5120/3\) | \(-35294700000000\) | \([]\) | \(158400\) | \(1.2890\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.gw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800.gw do not have complex multiplication.Modular form 58800.2.a.gw
sage: E.q_eigenform(10)