Elliptic curve isogeny class with LMFDB label 3328.f (Cremona label 3328g)

• Label: 3328.f
• Number of curves: $2$
• Conductor: $3328$
• CM: no
• Rank: $0$

Elliptic curves in class 3328.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3328.f1	3328g1	$[0, -1, 0, -29, -59]$	$-85184/13$	$-425984$	$[]$	$384$	$-0.19062$	$\Gamma_0(N)$-optimal
3328.f2	3328g2	$[0, -1, 0, -29, 5317]$	$-85184/371293$	$-12166529024$	$[]$	$1920$	$0.61410$

Rank

The elliptic curves in class 3328.f have rank $0$.

Complex multiplication

The elliptic curves in class 3328.f do not have complex multiplication.

Modular form 3328.2.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 LMFDB numbering.

$\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.