Show commands:
SageMath
E = EllipticCurve("cp1")
E.isogeny_class()
Elliptic curves in class 88725cp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88725.f1 | 88725cp1 | \([0, 1, 1, -60558, 5734694]\) | \(-1375916339200/5250987\) | \(-93733399816875\) | \([]\) | \(628992\) | \(1.5399\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88725cp1 has rank \(2\).
Complex multiplication
The elliptic curves in class 88725cp do not have complex multiplication.Modular form 88725.2.a.cp
sage: E.q_eigenform(10)