Elliptic curve isogeny class with LMFDB label 47432.n (Cremona label 47432g)

• Label: 47432.n
• Number of curves: $4$
• Conductor: $47432$
• CM: no
• Rank: $1$

Elliptic curves in class 47432.n

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
47432.n1	47432g4	[0, 0, 0, -1772771, 908500670]	[2]	491520
47432.n2	47432g3	[0, 0, 0, -349811, -63001554]	[2]	491520
47432.n3	47432g2	[0, 0, 0, -112651, 13695990]	[2, 2]	245760
47432.n4	47432g1	[0, 0, 0, 5929, 913066]	[2]	122880	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 47432.n have rank \(1\).

Complex multiplication

The elliptic curves in class 47432.n do not have complex multiplication.

Modular form 47432.2.a.n

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.