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

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

Elliptic curves in class 55473.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
55473.b1	55473r1	\([0, 1, 1, -473464296, -4061665263418]\)	\(-1469990616218374144/41768190339579\)	\(-333515876817232385369680059\)	\([]\)	\(50461488\)	\(3.8693\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 55473.b1 has rank \(1\).

Complex multiplication

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

Modular form 55473.2.a.b