Elliptic curve isogeny class with LMFDB label 16245.k (Cremona label 16245k)

• Label: 16245.k
• Number of curves: $2$
• Conductor: $16245$
• CM: no
• Rank: $0$

Elliptic curves in class 16245.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
16245.k1	16245k2	$[1, -1, 0, -303849, -62723970]$	$90458382169/2671875$	$91635819993421875$	$[2]$	$138240$	$2.0319$
16245.k2	16245k1	$[1, -1, 0, 4806, -3277017]$	$357911/135375$	$-4642881546333375$	$[2]$	$69120$	$1.6853$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 16245.k have rank $0$.

Complex multiplication

The elliptic curves in class 16245.k do not have complex multiplication.

Modular form 16245.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.