Show commands:
SageMath
E = EllipticCurve("cp1")
E.isogeny_class()
Elliptic curves in class 206310cp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206310.g1 | 206310cp1 | \([1, 1, 0, -6853, -160943]\) | \(67299099310921/18537187500\) | \(9806172187500\) | \([]\) | \(532224\) | \(1.2004\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206310cp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 206310cp do not have complex multiplication.Modular form 206310.2.a.cp
sage: E.q_eigenform(10)