Elliptic curve isogeny class with LMFDB label 106560.fs (Cremona label 106560cp)

• Label: 106560.fs
• Number of curves: $4$
• Conductor: $106560$
• CM: no
• Rank: $1$

Elliptic curves in class 106560.fs

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
106560.fs1	106560cp3	\([0, 0, 0, -3038412, 2038534256]\)	\(16232905099479601/4052240\)	\(774395123466240\)	\([2]\)	\(1327104\)	\(2.2325\)
106560.fs2	106560cp4	\([0, 0, 0, -3026892, 2054759024]\)	\(-16048965315233521/256572640900\)	\(-49031795236169318400\)	\([2]\)	\(2654208\)	\(2.5791\)
106560.fs3	106560cp1	\([0, 0, 0, -43212, 1890416]\)	\(46694890801/18944000\)	\(3620254777344000\)	\([2]\)	\(442368\)	\(1.6832\)	\(\Gamma_0(N)\)-optimal
106560.fs4	106560cp2	\([0, 0, 0, 141108, 13760624]\)	\(1625964918479/1369000000\)	\(-261619974144000000\)	\([2]\)	\(884736\)	\(2.0298\)

Rank

The elliptic curves in class 106560.fs have rank \(1\).

Complex multiplication

The elliptic curves in class 106560.fs do not have complex multiplication.

Modular form 106560.2.a.fs

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.