Show commands:
SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 54080co
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54080.a1 | 54080co1 | \([0, 0, 0, -8788, -228488]\) | \(89856/25\) | \(20882706457600\) | \([]\) | \(239616\) | \(1.2631\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54080co1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54080co do not have complex multiplication.Modular form 54080.2.a.co
sage: E.q_eigenform(10)