Elliptic curve isogeny class with LMFDB label 5202.j (Cremona label 5202h)

• Label: 5202.j
• Number of curves: $4$
• Conductor: $5202$
• CM: no
• Rank: $1$

Elliptic curves in class 5202.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5202.j1	5202h3	$[1, -1, 1, -1952105, 794166441]$	$46753267515625/11591221248$	$203962465044874395648$	$[2]$	$165888$	$2.6073$
5202.j2	5202h1	$[1, -1, 1, -664610, -208300575]$	$1845026709625/793152$	$13956530861938752$	$[2]$	$55296$	$2.0580$	$\Gamma_0(N)$-optimal
5202.j3	5202h2	$[1, -1, 1, -560570, -275801727]$	$-1107111813625/1228691592$	$-21620410871500869192$	$[2]$	$110592$	$2.4046$
5202.j4	5202h4	$[1, -1, 1, 4706455, 5031674025]$	$655215969476375/1001033261568$	$-17614469368924240531968$	$[2]$	$331776$	$2.9539$

Rank

The elliptic curves in class 5202.j have rank $1$.

Complex multiplication

The elliptic curves in class 5202.j do not have complex multiplication.

Modular form 5202.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.