Elliptic curve isogeny class with LMFDB label 6084.o (Cremona label 6084l)

• Label: 6084.o
• Number of curves: $2$
• Conductor: $6084$
• CM: no
• Rank: $1$

Elliptic curves in class 6084.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6084.o1	6084l2	$[0, 0, 0, -797511, 274128478]$	$-368484688$	$-152234930075904$	$[3]$	$56160$	$1.9552$
6084.o2	6084l1	$[0, 0, 0, -6591, 628342]$	$-208$	$-152234930075904$	$[]$	$18720$	$1.4059$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 6084.o have rank $1$.

Complex multiplication

The elliptic curves in class 6084.o do not have complex multiplication.

Modular form 6084.2.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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.