Elliptic curve isogeny class with Cremona label 23232cp (LMFDB label 23232.o)

• Label: 23232cp
• Number of curves: $2$
• Conductor: $23232$
• CM: no
• Rank: $0$

Elliptic curves in class 23232cp

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
23232.o2	23232cp1	\([0, -1, 0, -3549, -237411]\)	\(-2048/9\)	\(-21730845920256\)	\([2]\)	\(50688\)	\(1.2441\)	\(\Gamma_0(N)\)-optimal
23232.o1	23232cp2	\([0, -1, 0, -83409, -9229647]\)	\(1661168/3\)	\(115897844908032\)	\([2]\)	\(101376\)	\(1.5907\)

Rank

The elliptic curves in class 23232cp have rank \(0\).

Complex multiplication

The elliptic curves in class 23232cp do not have complex multiplication.

Modular form 23232.2.a.cp

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.