Show commands:
SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 47775.cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47775.cf1 | 47775bu1 | \([0, 1, 1, 5717, -112031]\) | \(229376/195\) | \(-17564628046875\) | \([]\) | \(92736\) | \(1.2290\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47775.cf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47775.cf do not have complex multiplication.Modular form 47775.2.a.cf
sage: E.q_eigenform(10)