Elliptic curve isogeny class with LMFDB label 5202.d (Cremona label 5202a)

• Label: 5202.d
• Number of curves: $4$
• Conductor: $5202$
• CM: no
• Rank: $0$

Elliptic curves in class 5202.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5202.d1	5202a4	$[1, -1, 0, -293967, 42466387]$	$159661140625/48275138$	$849463221880991538$	$[2]$	$82944$	$2.1454$
5202.d2	5202a3	$[1, -1, 0, -267957, 53447809]$	$120920208625/19652$	$345802247865252$	$[2]$	$41472$	$1.7988$
5202.d3	5202a2	$[1, -1, 0, -111897, -14375867]$	$8805624625/2312$	$40682617395912$	$[2]$	$27648$	$1.5961$
5202.d4	5202a1	$[1, -1, 0, -7857, -164003]$	$3048625/1088$	$19144761127488$	$[2]$	$13824$	$1.2495$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 5202.d have rank $0$.

Complex multiplication

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

Modular form 5202.2.a.d

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.