Elliptic curve isogeny class with LMFDB label 43560.q (Cremona label 43560br)

• Label: 43560.q
• Number of curves: $6$
• Conductor: $43560$
• CM: no
• Rank: $0$

Elliptic curves in class 43560.q

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
43560.q1	43560br4	$[0, 0, 0, -57499563, 167820468662]$	$15897679904620804/2475$	$3273096420633600$	$[2]$	$1966080$	$2.8236$
43560.q2	43560br6	$[0, 0, 0, -30492363, -63566853658]$	$1185450336504002/26043266205$	$68882522341166464296960$	$[2]$	$3932160$	$3.1702$
43560.q3	43560br3	$[0, 0, 0, -4138563, 1774758062]$	$5927735656804/2401490025$	$3175882183844361446400$	$[2, 2]$	$1966080$	$2.8236$
43560.q4	43560br2	$[0, 0, 0, -3594063, 2621673362]$	$15529488955216/6125625$	$2025228410267040000$	$[2, 2]$	$983040$	$2.4771$
43560.q5	43560br1	$[0, 0, 0, -190938, 53675237]$	$-37256083456/38671875$	$-799095805818750000$	$[2]$	$491520$	$2.1305$	$\Gamma_0(N)$-optimal
43560.q6	43560br5	$[0, 0, 0, 13503237, 12913790582]$	$102949393183198/86815346805$	$-229620202734149609564160$	$[2]$	$3932160$	$3.1702$

Rank

The elliptic curves in class 43560.q have rank $0$.

Complex multiplication

The elliptic curves in class 43560.q do not have complex multiplication.

Modular form 43560.2.a.q

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.

$\left(\begin{array}{rrrrrr} 1 & 8 & 4 & 2 & 4 & 8 \\ 8 & 1 & 2 & 4 & 8 & 4 \\ 4 & 2 & 1 & 2 & 4 & 2 \\ 2 & 4 & 2 & 1 & 2 & 4 \\ 4 & 8 & 4 & 2 & 1 & 8 \\ 8 & 4 & 2 & 4 & 8 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.