Elliptic curve isogeny class with Cremona label 348726b (LMFDB label 348726.b)

• Label: 348726b
• Number of curves: $4$
• Conductor: $348726$
• CM: no
• Rank: $1$

Elliptic curves in class 348726b

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
348726.b4	348726b1	[1, 1, 0, -216246, 63047556]	[2]	6912000	\(\Gamma_0(N)\)-optimal
348726.b3	348726b2	[1, 1, 0, -4035626, 3117787680]	[2, 2]	13824000
348726.b1	348726b3	[1, 1, 0, -64564496, 199655028570]	[2]	27648000
348726.b2	348726b4	[1, 1, 0, -4616836, 2160302326]	[2]	27648000

Rank

The elliptic curves in class 348726b have rank \(1\).

Complex multiplication

The elliptic curves in class 348726b do not have complex multiplication.

Modular form 348726.2.a.b

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the Cremona numbering.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.