Elliptic curve isogeny class with Cremona label 2800o (LMFDB label 2800.m)

• Label: 2800o
• Number of curves: $4$
• Conductor: $2800$
• CM: no
• Rank: $0$

Elliptic curves in class 2800o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2800.m4	2800o1	$[0, 0, 0, 925, 17250]$	$1367631/2800$	$-179200000000$	$[2]$	$2304$	$0.84371$	$\Gamma_0(N)$-optimal
2800.m3	2800o2	$[0, 0, 0, -7075, 185250]$	$611960049/122500$	$7840000000000$	$[2, 2]$	$4608$	$1.1903$
2800.m2	2800o3	$[0, 0, 0, -35075, -2362750]$	$74565301329/5468750$	$350000000000000$	$[2]$	$9216$	$1.5369$
2800.m1	2800o4	$[0, 0, 0, -107075, 13485250]$	$2121328796049/120050$	$7683200000000$	$[2]$	$9216$	$1.5369$

Rank

The elliptic curves in class 2800o have rank $0$.

Complex multiplication

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

Modular form 2800.2.a.o

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.

$\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.