Elliptic curve isogeny class with Cremona label 5776m (LMFDB label 5776.n)

• Label: 5776m
• Number of curves: $2$
• Conductor: $5776$
• CM: no
• Rank: $1$

Elliptic curves in class 5776m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5776.n2	5776m1	\([0, 1, 0, 32, -140]\)	\(2375/8\)	\(-11829248\)	\([]\)	\(864\)	\(0.040246\)	\(\Gamma_0(N)\)-optimal
5776.n1	5776m2	\([0, 1, 0, -1488, -22636]\)	\(-246579625/512\)	\(-757071872\)	\([]\)	\(2592\)	\(0.58955\)

Rank

The elliptic curves in class 5776m have rank \(1\).

Complex multiplication

The elliptic curves in class 5776m do not have complex multiplication.

Modular form 5776.2.a.m

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.