Elliptic curve isogeny class with LMFDB label 76880.o (Cremona label 76880j)

• Label: 76880.o
• Number of curves: $4$
• Conductor: $76880$
• CM: no
• Rank: $1$

Elliptic curves in class 76880.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
76880.o1	76880j4	\([0, 0, 0, -102827, -12690966]\)	\(132304644/5\)	\(4544018846720\)	\([2]\)	\(230400\)	\(1.5148\)
76880.o2	76880j2	\([0, 0, 0, -6727, -178746]\)	\(148176/25\)	\(5680023558400\)	\([2, 2]\)	\(115200\)	\(1.1682\)
76880.o3	76880j1	\([0, 0, 0, -1922, 29791]\)	\(55296/5\)	\(71000294480\)	\([2]\)	\(57600\)	\(0.82163\)	\(\Gamma_0(N)\)-optimal
76880.o4	76880j3	\([0, 0, 0, 12493, -1012894]\)	\(237276/625\)	\(-568002355840000\)	\([2]\)	\(230400\)	\(1.5148\)

Rank

The elliptic curves in class 76880.o have rank \(1\).

Complex multiplication

The elliptic curves in class 76880.o do not have complex multiplication.

Modular form 76880.2.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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.