Elliptic curve isogeny class with Cremona label 24400g (LMFDB label 24400.o)

• Label: 24400g
• Number of curves: $2$
• Conductor: $24400$
• CM: no
• Rank: $2$

Elliptic curves in class 24400g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
24400.o1	24400g1	\([0, 0, 0, -2375, 43750]\)	\(2963088/61\)	\(30500000000\)	\([2]\)	\(20480\)	\(0.80217\)	\(\Gamma_0(N)\)-optimal
24400.o2	24400g2	\([0, 0, 0, 125, 131250]\)	\(108/3721\)	\(-7442000000000\)	\([2]\)	\(40960\)	\(1.1487\)

Rank

The elliptic curves in class 24400g have rank \(2\).

Complex multiplication

The elliptic curves in class 24400g do not have complex multiplication.

Modular form 24400.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.