Elliptic curve isogeny class with Cremona label 9360m (LMFDB label 9360.u)

• Label: 9360m
• Number of curves: $2$
• Conductor: $9360$
• CM: no
• Rank: $1$

Elliptic curves in class 9360m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9360.u2	9360m1	\([0, 0, 0, -3, 1298]\)	\(-4/975\)	\(-727833600\)	\([2]\)	\(3072\)	\(0.37935\)	\(\Gamma_0(N)\)-optimal
9360.u1	9360m2	\([0, 0, 0, -1803, 29018]\)	\(434163602/7605\)	\(11354204160\)	\([2]\)	\(6144\)	\(0.72592\)

Rank

The elliptic curves in class 9360m have rank \(1\).

Complex multiplication

The elliptic curves in class 9360m do not have complex multiplication.

Modular form 9360.2.a.m

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.