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

• Label: 3200.p
• Number of curves: $2$
• Conductor: $3200$
• CM: no
• Rank: $0$

Elliptic curves in class 3200.p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3200.p1	3200p1	$[0, 0, 0, -325, 2250]$	$1898208/5$	$10000000$	$[2]$	$768$	$0.21818$	$\Gamma_0(N)$-optimal
3200.p2	3200p2	$[0, 0, 0, -200, 4000]$	$-3456/25$	$-6400000000$	$[2]$	$1536$	$0.56476$

Rank

The elliptic curves in class 3200.p have rank $0$.

Complex multiplication

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

Modular form 3200.2.a.p

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.