Elliptic curve isogeny class with LMFDB label 2400.j (Cremona label 2400r)

• Label: 2400.j
• Number of curves: $4$
• Conductor: $2400$
• CM: no
• Rank: $0$

Elliptic curves in class 2400.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2400.j1	2400r3	$[0, -1, 0, -2033, 35937]$	$14526784/15$	$960000000$	$[4]$	$1536$	$0.64145$
2400.j2	2400r2	$[0, -1, 0, -1408, -19688]$	$38614472/405$	$3240000000$	$[2]$	$1536$	$0.64145$
2400.j3	2400r1	$[0, -1, 0, -158, 312]$	$438976/225$	$225000000$	$[2, 2]$	$768$	$0.29488$	$\Gamma_0(N)$-optimal
2400.j4	2400r4	$[0, -1, 0, 592, 1812]$	$2863288/1875$	$-15000000000$	$[2]$	$1536$	$0.64145$

Rank

The elliptic curves in class 2400.j have rank $0$.

Complex multiplication

The elliptic curves in class 2400.j do not have complex multiplication.

Modular form 2400.2.a.j

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.