Elliptic curve isogeny class with LMFDB label 18032.y (Cremona label 18032l)

• Label: 18032.y
• Number of curves: $2$
• Conductor: $18032$
• CM: no
• Rank: $1$

Elliptic curves in class 18032.y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
18032.y1	18032l1	\([0, -1, 0, -2172, -30400]\)	\(109744/23\)	\(237602038016\)	\([2]\)	\(21504\)	\(0.89765\)	\(\Gamma_0(N)\)-optimal
18032.y2	18032l2	\([0, -1, 0, 4688, -189552]\)	\(275684/529\)	\(-21859387497472\)	\([2]\)	\(43008\)	\(1.2442\)

Rank

The elliptic curves in class 18032.y have rank \(1\).

Complex multiplication

The elliptic curves in class 18032.y do not have complex multiplication.

Modular form 18032.2.a.y

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.