Elliptic curve isogeny class with LMFDB label 32340.r (Cremona label 32340u)

• Label: 32340.r
• Number of curves: $2$
• Conductor: $32340$
• CM: no
• Rank: $1$

Elliptic curves in class 32340.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
32340.r1	32340u2	\([0, -1, 0, -37445, 2801457]\)	\(462893166690304/4125\)	\(51744000\)	\([]\)	\(46656\)	\(1.0633\)
32340.r2	32340u1	\([0, -1, 0, -485, 3585]\)	\(1007878144/179685\)	\(2253968640\)	\([]\)	\(15552\)	\(0.51398\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 32340.r have rank \(1\).

Complex multiplication

The elliptic curves in class 32340.r do not have complex multiplication.

Modular form 32340.2.a.r

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.