Show commands:
SageMath
E = EllipticCurve("cp1")
E.isogeny_class()
Elliptic curves in class 84672cp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84672.m1 | 84672cp1 | \([0, 0, 0, -2352, -54880]\) | \(-3072\) | \(-468397375488\) | \([]\) | \(126720\) | \(0.95193\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84672cp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84672cp do not have complex multiplication.Modular form 84672.2.a.cp
sage: E.q_eigenform(10)