Elliptic curve isogeny class with Cremona label 263568cb (LMFDB label 263568.cb)

• Label: 263568cb
• Number of curves: $4$
• Conductor: $263568$
• CM: no
• Rank: $1$

Elliptic curves in class 263568cb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
263568.cb3	263568cb1	\([0, 1, 0, -37088, -222348]\)	\(57066625/32832\)	\(3246017189511168\)	\([2]\)	\(1327104\)	\(1.6659\)	\(\Gamma_0(N)\)-optimal
263568.cb4	263568cb2	\([0, 1, 0, 147872, -1628044]\)	\(3616805375/2105352\)	\(-208150852277403648\)	\([2]\)	\(2654208\)	\(2.0125\)
263568.cb1	263568cb3	\([0, 1, 0, -1979168, 1071028980]\)	\(8671983378625/82308\)	\(8137584759816192\)	\([2]\)	\(3981312\)	\(2.2153\)
263568.cb2	263568cb4	\([0, 1, 0, -1932928, 1123502132]\)	\(-8078253774625/846825858\)	\(-83723540801368891392\)	\([2]\)	\(7962624\)	\(2.5618\)

Rank

The elliptic curves in class 263568cb have rank \(1\).

Complex multiplication

The elliptic curves in class 263568cb do not have complex multiplication.

Modular form 263568.2.a.cb

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.