Elliptic curve isogeny class with Cremona label 323400z (LMFDB label 323400.z)

• Label: 323400z
• Number of curves: $2$
• Conductor: $323400$
• CM: no
• Rank: $2$

Elliptic curves in class 323400z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
323400.z1	323400z1	\([0, -1, 0, -147408, -21385188]\)	\(188183524/3465\)	\(6522460560000000\)	\([2]\)	\(2654208\)	\(1.8291\)	\(\Gamma_0(N)\)-optimal
323400.z2	323400z2	\([0, -1, 0, -408, -62251188]\)	\(-2/444675\)	\(-1674098210400000000\)	\([2]\)	\(5308416\)	\(2.1757\)

Rank

The elliptic curves in class 323400z have rank \(2\).

Complex multiplication

The elliptic curves in class 323400z do not have complex multiplication.

Modular form 323400.2.a.z

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.