Show commands:
SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 8880.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8880.z1 | 8880bc1 | \([0, 1, 0, 3240, 37908]\) | \(918046641959/674325000\) | \(-2762035200000\) | \([]\) | \(17280\) | \(1.0755\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8880.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8880.z do not have complex multiplication.Modular form 8880.2.a.z
sage: E.q_eigenform(10)