Elliptic curve isogeny class with Cremona label 58482y (LMFDB label 58482.p)

• Label: 58482y
• Number of curves: $2$
• Conductor: $58482$
• CM: no
• Rank: $1$

Elliptic curves in class 58482y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
58482.p1	58482y1	$[1, -1, 1, -2234, -43811]$	$-35937/4$	$-137185788996$	$[]$	$82944$	$0.87441$	$\Gamma_0(N)$-optimal
58482.p2	58482y2	$[1, -1, 1, 14011, 60157]$	$109503/64$	$-177792782538816$	$[]$	$248832$	$1.4237$

Rank

The elliptic curves in class 58482y have rank $1$.

Complex multiplication

The elliptic curves in class 58482y do not have complex multiplication.

Modular form 58482.2.a.y

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.