Elliptic curve isogeny class with Cremona label 10608f (LMFDB label 10608.n)

• Label: 10608f
• Number of curves: $2$
• Conductor: $10608$
• CM: no
• Rank: $2$

Elliptic curves in class 10608f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10608.n1	10608f1	$[0, 1, 0, -424, 3140]$	$8251733668/232713$	$238298112$	$[2]$	$7168$	$0.38624$	$\Gamma_0(N)$-optimal
10608.n2	10608f2	$[0, 1, 0, 96, 10836]$	$47279806/24649677$	$-50482538496$	$[2]$	$14336$	$0.73281$

Rank

The elliptic curves in class 10608f have rank $2$.

Complex multiplication

The elliptic curves in class 10608f do not have complex multiplication.

Modular form 10608.2.a.f

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.