Elliptic curve isogeny class with LMFDB label 1254.g (Cremona label 1254h)

• Label: 1254.g
• Number of curves: $6$
• Conductor: $1254$
• CM: no
• Rank: $1$

Elliptic curves in class 1254.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1254.g1	1254h5	$[1, 1, 1, -42359, -3373225]$	$8405459297332260337/52107462$	$52107462$	$[2]$	$2048$	$1.0870$
1254.g2	1254h3	$[1, 1, 1, -2649, -53469]$	$2055795133410577/5109104484$	$5109104484$	$[2, 2]$	$1024$	$0.74046$
1254.g3	1254h6	$[1, 1, 1, -1659, -92673]$	$-504985875929137/3362745482118$	$-3362745482118$	$[2]$	$2048$	$1.0870$
1254.g4	1254h2	$[1, 1, 1, -229, -229]$	$1328460616657/761097744$	$761097744$	$[2, 4]$	$512$	$0.39388$
1254.g5	1254h1	$[1, 1, 1, -149, 635]$	$365986170577/1765632$	$1765632$	$[4]$	$256$	$0.047310$	$\Gamma_0(N)$-optimal
1254.g6	1254h4	$[1, 1, 1, 911, -685]$	$83608233481583/48873824868$	$-48873824868$	$[4]$	$1024$	$0.74046$

Rank

The elliptic curves in class 1254.g have rank $1$.

Complex multiplication

The elliptic curves in class 1254.g do not have complex multiplication.

Modular form 1254.2.a.g

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.

$\left(\begin{array}{rrrrrr} 1 & 2 & 4 & 4 & 8 & 8 \\ 2 & 1 & 2 & 2 & 4 & 4 \\ 4 & 2 & 1 & 4 & 8 & 8 \\ 4 & 2 & 4 & 1 & 2 & 2 \\ 8 & 4 & 8 & 2 & 1 & 4 \\ 8 & 4 & 8 & 2 & 4 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.