Elliptic curve isogeny class with LMFDB label 10005.g (Cremona label 10005m)

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

Elliptic curves in class 10005.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10005.g1	10005m1	\([0, 1, 1, -104207741, 135268278965]\)	\(125147927114815865709295304704/64514985611316331088611125\)	\(64514985611316331088611125\)	\([]\)	\(2140320\)	\(3.6445\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10005.g1 has rank \(1\).

Complex multiplication

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

Modular form 10005.2.a.g