Elliptic curve isogeny class with LMFDB label 320892.o (Cremona label 320892o)

• Label: 320892.o
• Number of curves: $2$
• Conductor: $320892$
• CM: no
• Rank: $1$

Elliptic curves in class 320892.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
320892.o1	320892o2	\([0, 1, 0, -121524, -2770044]\)	\(437640371152/246167259\)	\(111641680773452544\)	\([2]\)	\(2419200\)	\(1.9613\)
320892.o2	320892o1	\([0, 1, 0, -90669, -10520820]\)	\(2908230909952/5714397\)	\(161974445819472\)	\([2]\)	\(1209600\)	\(1.6147\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 320892.o have rank \(1\).

Complex multiplication

The elliptic curves in class 320892.o do not have complex multiplication.

Modular form 320892.2.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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.