Elliptic curve isogeny class with LMFDB label 7623.r (Cremona label 7623c)

• Label: 7623.r
• Number of curves: $1$
• Conductor: $7623$
• CM: no
• Rank: $1$

Elliptic curves in class 7623.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7623.r1	7623c1	\([0, 0, 1, -297, -1411]\)	\(1216512/343\)	\(816903549\)	\([]\)	\(3456\)	\(0.41701\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 7623.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7623.r do not have complex multiplication.

Modular form 7623.2.a.r