Elliptic curve isogeny class with LMFDB label 35280.n (Cremona label 35280br)

• Label: 35280.n
• Number of curves: $4$
• Conductor: $35280$
• CM: no
• Rank: $1$

Elliptic curves in class 35280.n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
35280.n1	35280br4	$[0, 0, 0, -201243, -34709542]$	$10262905636/13125$	$1152696666240000$	$[2]$	$196608$	$1.7980$
35280.n2	35280br3	$[0, 0, 0, -148323, 21819602]$	$4108974916/36015$	$3162999652162560$	$[2]$	$196608$	$1.7980$
35280.n3	35280br2	$[0, 0, 0, -16023, -221578]$	$20720464/11025$	$242066299910400$	$[2, 2]$	$98304$	$1.4514$
35280.n4	35280br1	$[0, 0, 0, 3822, -27097]$	$4499456/2835$	$-3890351248560$	$[2]$	$49152$	$1.1048$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 35280.n have rank $1$.

Complex multiplication

The elliptic curves in class 35280.n do not have complex multiplication.

Modular form 35280.2.a.n

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.