Elliptic curve isogeny class with Cremona label 36518a (LMFDB label 36518.a)

• Label: 36518a
• Number of curves: $3$
• Conductor: $36518$
• CM: no
• Rank: $1$

Elliptic curves in class 36518a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
36518.a2	36518a1	$[1, 1, 0, -14915, -707579]$	$-413493625/152$	$-134900559512$	$[]$	$60480$	$1.1036$	$\Gamma_0(N)$-optimal
36518.a3	36518a2	$[1, 1, 0, 9110, -2661292]$	$94196375/3511808$	$-3116742526965248$	$[]$	$181440$	$1.6529$
36518.a1	36518a3	$[1, 1, 0, -82185, 72912709]$	$-69173457625/2550136832$	$-2263255825453678592$	$[]$	$544320$	$2.2022$

Rank

The elliptic curves in class 36518a have rank $1$.

Complex multiplication

The elliptic curves in class 36518a do not have complex multiplication.

Modular form 36518.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.