Elliptic curve isogeny class with LMFDB label 702.a (Cremona label 702e)

• Label: 702.a
• Number of curves: $3$
• Conductor: $702$
• CM: no
• Rank: $0$

Elliptic curves in class 702.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
702.a1	702e3	$[1, -1, 0, -472266, 125037036]$	$-47937788722586831331/1352$	$-328536$	$[3]$	$3240$	$1.4950$
702.a2	702e1	$[1, -1, 0, -5826, 173076]$	$-810052784622459/2471326208$	$-66725807616$	$[3]$	$1080$	$0.94568$	$\Gamma_0(N)$-optimal
702.a3	702e2	$[1, -1, 0, 11919, 881693]$	$9513304174269/22682796032$	$-446465474297856$	$[]$	$3240$	$1.4950$

Rank

The elliptic curves in class 702.a have rank $0$.

Complex multiplication

The elliptic curves in class 702.a do not have complex multiplication.

Modular form 702.2.a.a

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.

$\left(\begin{array}{rrr} 1 & 3 & 9 \\ 3 & 1 & 3 \\ 9 & 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.