Elliptic curve isogeny class with LMFDB label 32368.q (Cremona label 32368a)

• Label: 32368.q
• Number of curves: $4$
• Conductor: $32368$
• CM: no
• Rank: $1$

Elliptic curves in class 32368.q

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
32368.q1	32368a4	[0, 0, 0, -86411, -9776870]	[2]	73728
32368.q2	32368a3	[0, 0, 0, -17051, 677994]	[2]	73728
32368.q3	32368a2	[0, 0, 0, -5491, -147390]	[2, 2]	36864
32368.q4	32368a1	[0, 0, 0, 289, -9826]	[2]	18432	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 32368.q have rank \(1\).

Complex multiplication

The elliptic curves in class 32368.q do not have complex multiplication.

Modular form 32368.2.a.q

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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.