Elliptic curve isogeny class with LMFDB label 10005.f (Cremona label 10005b)

• Label: 10005.f
• Number of curves: $1$
• Conductor: $10005$
• CM: no
• Rank: $1$

Elliptic curves in class 10005.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10005.f1	10005b1	\([0, -1, 1, -609991, 183560811]\)	\(25101212833837967048704/2339617030153125\)	\(2339617030153125\)	\([]\)	\(84000\)	\(1.9870\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10005.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10005.f do not have complex multiplication.

Modular form 10005.2.a.f