Elliptic curve isogeny class with LMFDB label 17986.f (Cremona label 17986h)

• Label: 17986.f
• Number of curves: $1$
• Conductor: $17986$
• CM: no
• Rank: $2$

Elliptic curves in class 17986.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
17986.f1	17986h1	\([1, -1, 1, -19, 307]\)	\(-1364337/73984\)	\(-39137536\)	\([]\)	\(6144\)	\(0.13678\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 17986.f1 has rank \(2\).

Complex multiplication

The elliptic curves in class 17986.f do not have complex multiplication.

Modular form 17986.2.a.f