Elliptic curve isogeny class with Cremona label 10005k (LMFDB label 10005.a)

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

Elliptic curves in class 10005k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10005.a1	10005k1	\([0, 1, 1, -31666, -2179460]\)	\(3511697101967355904/41026753125\)	\(41026753125\)	\([]\)	\(38880\)	\(1.1871\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10005k1 has rank \(1\).

Complex multiplication

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

Modular form 10005.2.a.k