Elliptic curve isogeny class with Cremona label 2800w (LMFDB label 2800.e)

• Label: 2800w
• Number of curves: $2$
• Conductor: $2800$
• CM: no
• Rank: $1$

Elliptic curves in class 2800w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2800.e2	2800w1	$[0, 1, 0, 2, 3]$	$1280/7$	$-2800$	$[]$	$144$	$-0.65649$	$\Gamma_0(N)$-optimal
2800.e1	2800w2	$[0, 1, 0, -98, 343]$	$-262885120/343$	$-137200$	$[]$	$432$	$-0.10718$

Rank

The elliptic curves in class 2800w have rank $1$.

Complex multiplication

The elliptic curves in class 2800w do not have complex multiplication.

Modular form 2800.2.a.w

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.

$\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.