Elliptic curve isogeny class with Cremona label 360d (LMFDB label 360.e)

• Label: 360d
• Number of curves: $4$
• Conductor: $360$
• CM: no
• Rank: $0$

Elliptic curves in class 360d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
360.e4	360d1	$[0, 0, 0, 33, 34]$	$21296/15$	$-2799360$	$[4]$	$64$	$-0.074438$	$\Gamma_0(N)$-optimal
360.e3	360d2	$[0, 0, 0, -147, 286]$	$470596/225$	$167961600$	$[2, 2]$	$128$	$0.27214$
360.e2	360d3	$[0, 0, 0, -1227, -16346]$	$136835858/1875$	$2799360000$	$[2]$	$256$	$0.61871$
360.e1	360d4	$[0, 0, 0, -1947, 33046]$	$546718898/405$	$604661760$	$[2]$	$256$	$0.61871$

Rank

The elliptic curves in class 360d have rank $0$.

Complex multiplication

The elliptic curves in class 360d do not have complex multiplication.

Modular form 360.2.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 Cremona numbering.

$\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.