Elliptic curve isogeny class with Cremona label 7623o (LMFDB label 7623.n)

• Label: 7623o
• Number of curves: $2$
• Conductor: $7623$
• CM: no
• Rank: $0$

Elliptic curves in class 7623o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7623.n2	7623o1	\([1, -1, 0, 3789, 339664]\)	\(4657463/41503\)	\(-53599795117407\)	\([2]\)	\(17280\)	\(1.3157\)	\(\Gamma_0(N)\)-optimal
7623.n1	7623o2	\([1, -1, 0, -56106, 4735957]\)	\(15124197817/1294139\)	\(1671339065933691\)	\([2]\)	\(34560\)	\(1.6622\)

Rank

The elliptic curves in class 7623o have rank \(0\).

Complex multiplication

The elliptic curves in class 7623o do not have complex multiplication.

Modular form 7623.2.a.o

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.