Elliptic curve isogeny class with Cremona label 182b (LMFDB label 182.d)

• Label: 182b
• Number of curves: $3$
• Conductor: $182$
• CM: no
• Rank: $0$

Elliptic curves in class 182b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
182.d3	182b1	$[1, 0, 0, 7, -7]$	$37595375/46592$	$-46592$	$[3]$	$12$	$-0.41816$	$\Gamma_0(N)$-optimal
182.d2	182b2	$[1, 0, 0, -193, -1055]$	$-795309684625/6028568$	$-6028568$	$[3]$	$36$	$0.13115$
182.d1	182b3	$[1, 0, 0, -15663, -755809]$	$-424962187484640625/182$	$-182$	$[]$	$108$	$0.68046$

Rank

The elliptic curves in class 182b have rank $0$.

Complex multiplication

The elliptic curves in class 182b do not have complex multiplication.

Modular form 182.2.a.b

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.