Elliptic curve isogeny class with LMFDB label 55473.r (Cremona label 55473i)

• Label: 55473.r
• Number of curves: $1$
• Conductor: $55473$
• CM: no
• Rank: $1$

Elliptic curves in class 55473.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
55473.r1	55473i1	\([0, -1, 1, 22974, 175493]\)	\(167936/99\)	\(-790507597682979\)	\([]\)	\(234192\)	\(1.5480\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 55473.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 55473.r do not have complex multiplication.

Modular form 55473.2.a.r