Elliptic curve isogeny class with Cremona label 8280g (LMFDB label 8280.f)

• Label: 8280g
• Number of curves: $2$
• Conductor: $8280$
• CM: no
• Rank: $1$

Elliptic curves in class 8280g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8280.f2	8280g1	$[0, 0, 0, -288363, -62154218]$	$-3552342505518244/179863605135$	$-134267461778856960$	$[2]$	$84480$	$2.0471$	$\Gamma_0(N)$-optimal
8280.f1	8280g2	$[0, 0, 0, -4668483, -3882494882]$	$7536914291382802562/17961229575$	$26815972065638400$	$[2]$	$168960$	$2.3937$

Rank

The elliptic curves in class 8280g have rank $1$.

Complex multiplication

The elliptic curves in class 8280g do not have complex multiplication.

Modular form 8280.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.