Elliptic curve isogeny class with LMFDB label 24563.g (Cremona label 24563g)

• Label: 24563.g
• Number of curves: $4$
• Conductor: $24563$
• CM: no
• Rank: $1$

Elliptic curves in class 24563.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
24563.g1	24563g4	\([1, -1, 0, -6456038, -6311586979]\)	\(16798320881842096017/2132227789307\)	\(3777371594652498227\)	\([2]\)	\(645120\)	\(2.5865\)
24563.g2	24563g3	\([1, -1, 0, -2561048, 1513714615]\)	\(1048626554636928177/48569076788309\)	\(86043082244173480349\)	\([2]\)	\(645120\)	\(2.5865\)
24563.g3	24563g2	\([1, -1, 0, -438103, -80617080]\)	\(5249244962308257/1448621666569\)	\(2566321648248644209\)	\([2, 2]\)	\(322560\)	\(2.2399\)
24563.g4	24563g1	\([1, -1, 0, 70702, -8265009]\)	\(22062729659823/29354283343\)	\(-52002903553408423\)	\([2]\)	\(161280\)	\(1.8933\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 24563.g have rank \(1\).

Complex multiplication

The elliptic curves in class 24563.g do not have complex multiplication.

Modular form 24563.2.a.g

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.