Elliptic curve isogeny class with LMFDB label 55470.b (Cremona label 55470a)

• Label: 55470.b
• Number of curves: $1$
• Conductor: $55470$
• CM: no
• Rank: $2$

Elliptic curves in class 55470.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
55470.b1	55470a1	\([1, 1, 0, -253, -323]\)	\(974603041/552960\)	\(1022423040\)	\([]\)	\(36288\)	\(0.41870\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 55470.b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 55470.b do not have complex multiplication.

Modular form 55470.2.a.b