Show commands:
SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 106560cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106560.q1 | 106560cc1 | \([0, 0, 0, 1112532, 309134608]\) | \(6375052761771448/5417496640625\) | \(-129412466311680000000\) | \([]\) | \(2257920\) | \(2.5467\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106560cc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 106560cc do not have complex multiplication.Modular form 106560.2.a.cc
sage: E.q_eigenform(10)