Elliptic curve isogeny class with LMFDB label 3200.u (Cremona label 3200g)

• Label: 3200.u
• Number of curves: $2$
• Conductor: $3200$
• CM: no
• Rank: $1$

Elliptic curves in class 3200.u

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3200.u1	3200g1	$[0, -1, 0, -58, -138]$	$10976$	$2000000$	$[2]$	$512$	$-0.051711$	$\Gamma_0(N)$-optimal
3200.u2	3200g2	$[0, -1, 0, 67, -763]$	$128$	$-256000000$	$[2]$	$1024$	$0.29486$

Rank

The elliptic curves in class 3200.u have rank $1$.

Complex multiplication

The elliptic curves in class 3200.u do not have complex multiplication.

Modular form 3200.2.a.u

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.