Elliptic curve isogeny class with Cremona label 7440n (LMFDB label 7440.g)

• Label: 7440n
• Number of curves: $2$
• Conductor: $7440$
• CM: no
• Rank: $1$

Elliptic curves in class 7440n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7440.g2	7440n1	$[0, -1, 0, -218360, -39258000]$	$-281115640967896441/468084326400$	$-1917273400934400$	$[2]$	$49920$	$1.8283$	$\Gamma_0(N)$-optimal
7440.g1	7440n2	$[0, -1, 0, -3495160, -2513897360]$	$1152829477932246539641/3188367360$	$13059552706560$	$[2]$	$99840$	$2.1749$

Rank

The elliptic curves in class 7440n have rank $1$.

Complex multiplication

The elliptic curves in class 7440n do not have complex multiplication.

Modular form 7440.2.a.n

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.