Show commands:
SageMath
E = EllipticCurve("cp1")
E.isogeny_class()
Elliptic curves in class 77616cp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77616.bb1 | 77616cp1 | \([0, 0, 0, -5439, -5122019]\) | \(-12967168/8251551\) | \(-11323256344058736\) | \([]\) | \(516096\) | \(1.7595\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77616cp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 77616cp do not have complex multiplication.Modular form 77616.2.a.cp
sage: E.q_eigenform(10)