Elliptic curve isogeny class with Cremona label 9408c (LMFDB label 9408.bg)

• Label: 9408c
• Number of curves: $2$
• Conductor: $9408$
• CM: no
• Rank: $1$

Elliptic curves in class 9408c

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
9408.bg2	9408c1	[0, -1, 0, -457, 4243]	[]	3360	\(\Gamma_0(N)\)-optimal
9408.bg1	9408c2	[0, -1, 0, -178817, -29068437]	[]	43680

Rank

The elliptic curves in class 9408c have rank \(1\).

Complex multiplication

The elliptic curves in class 9408c do not have complex multiplication.

Modular form 9408.2.a.c

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.

\(\left(\begin{array}{rr} 1 & 13 \\ 13 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.