Elliptic curve isogeny class with LMFDB label 162624.gk (Cremona label 162624ez)

• Label: 162624.gk
• Number of curves: $1$
• Conductor: $162624$
• CM: no
• Rank: $2$

Elliptic curves in class 162624.gk

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
162624.gk1	162624ez1	\([0, 1, 0, -206081, 36027231]\)	\(-30515071121161/85766121\)	\(-2720451956834304\)	\([]\)	\(1327104\)	\(1.8339\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 162624.gk1 has rank \(2\).

Complex multiplication

The elliptic curves in class 162624.gk do not have complex multiplication.

Modular form 162624.2.a.gk