Elliptic curve isogeny class with Cremona label 10608m (LMFDB label 10608.a)

• Label: 10608m
• Number of curves: $2$
• Conductor: $10608$
• CM: no
• Rank: $0$

Elliptic curves in class 10608m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10608.a1	10608m1	$[0, -1, 0, -1249, -16580]$	$13478411517952/304317$	$4869072$	$[2]$	$3840$	$0.39732$	$\Gamma_0(N)$-optimal
10608.a2	10608m2	$[0, -1, 0, -1204, -17876]$	$-754612278352/127035441$	$-32521072896$	$[2]$	$7680$	$0.74390$

Rank

The elliptic curves in class 10608m have rank $0$.

Complex multiplication

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

Modular form 10608.2.a.m

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.