Elliptic Curve Isogeny Class 32.a (Cremona label 32a)

• Label: 32.a
• Number of curves: 4
• Conductor: \(32\)
• CM: -4
• Rank: \(0\)

Elliptic curves in class 32.a

LMFDB label	Cremona label	Weierstrass coefficients	Torsion order	Modular degree	Optimality
32.a1	32a3	[0, 0, 0, -11, -14]	2	4
32.a2	32a4	[0, 0, 0, -11, 14]	4	4
32.a3	32a2	[0, 0, 0, -1, 0]	4	2
32.a4	32a1	[0, 0, 0, 4, 0]	4	1	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 32.a have rank \(0\).

Modular form 32.2.a.a

Isogeny matrix

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

Isogeny graph