Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 14586.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14586.f1 | 14586d1 | \([1, 0, 1, -2358, 91720]\) | \(-1449073218392281/2811246362496\) | \(-2811246362496\) | \([]\) | \(34944\) | \(1.0783\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14586.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14586.f do not have complex multiplication.Modular form 14586.2.a.f
sage: E.q_eigenform(10)