Elliptic curve isogeny class with LMFDB label 326700.j (Cremona label 326700j)

• Label: 326700.j
• Number of curves: $2$
• Conductor: $326700$
• CM: \(\Q(\sqrt{-3}) \)
• Rank: $1$

Elliptic curves in class 326700.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality	CM discriminant
326700.j1	326700j1	\([0, 0, 0, 0, -100656875]\)	\(0\)	\(-4376940401418750000\)	\([]\)	\(7056720\)	\(2.2558\)	\(\Gamma_0(N)\)-optimal	\(-3\)
326700.j2	326700j2	\([0, 0, 0, 0, 2717735625]\)	\(0\)	\(-3190789552634268750000\)	\([]\)	\(21170160\)	\(2.8051\)		\(-3\)

Rank

The elliptic curves in class 326700.j have rank \(1\).

Complex multiplication

Each elliptic curve in class 326700.j has complex multiplication by an order in the imaginary quadratic field \(\Q(\sqrt{-3}) \).

Modular form 326700.2.a.j

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.