Elliptic curve isogeny class with Cremona label 368082bn (LMFDB label 368082.bn)

• Label: 368082bn
• Number of curves: $2$
• Conductor: $368082$
• CM: no
• Rank: $1$

Elliptic curves in class 368082bn

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
368082.bn1	368082bn1	\([1, -1, 0, -1062726538275, 422125974856664469]\)	\(-21293376668673906679951249/26211168887701209984\)	\(-163391756610139910792004201158715264\)	\([]\)	\(5689958400\)	\(5.6665\)	\(\Gamma_0(N)\)-optimal
368082.bn2	368082bn2	\([1, -1, 0, 3009638848815, -26492433426664857261]\)	\(483641001192506212470106511/48918776756543177755473774\)	\(-304943472750706212407374753190744499865854\)	\([]\)	\(39829708800\)	\(6.6395\)

Rank

The elliptic curves in class 368082bn have rank \(1\).

Complex multiplication

The elliptic curves in class 368082bn do not have complex multiplication.

Modular form 368082.2.a.bn

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.

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.