Elliptic curve isogeny class with LMFDB label 1936.k (Cremona label 1936i)

• Label: 1936.k
• Number of curves: $2$
• Conductor: $1936$
• CM: no
• Rank: $1$

Elliptic curves in class 1936.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1936.k1	1936i2	$[0, -1, 0, -832, -9216]$	$-128667913/4096$	$-2030043136$	$[]$	$1152$	$0.56194$
1936.k2	1936i1	$[0, -1, 0, 48, -64]$	$24167/16$	$-7929856$	$[]$	$384$	$0.012633$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 1936.k have rank $1$.

Complex multiplication

The elliptic curves in class 1936.k do not have complex multiplication.

Modular form 1936.2.a.k

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.