Elliptic Curve Isogeny Class with LMFDB label 16245.c (Cremona label 16245d)

• Label: 16245.c
• Number of curves: 8
• Conductor: 16245
• CM: no
• Rank: 1

Elliptic curves in class 16245.c

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
16245.c1	16245d7	[1, -1, 1, -7017908, -7154068534]	[2]	221184
16245.c2	16245d5	[1, -1, 1, -438683, -111666094]	[2, 2]	110592
16245.c3	16245d8	[1, -1, 1, -357458, -154357954]	[2]	221184
16245.c4	16245d4	[1, -1, 1, -259988, 51089312]	[2]	55296
16245.c5	16245d3	[1, -1, 1, -32558, -1037644]	[2, 2]	55296
16245.c6	16245d2	[1, -1, 1, -16313, 794792]	[2, 2]	27648
16245.c7	16245d1	[1, -1, 1, -68, 34526]	[2]	13824	\(\Gamma_0(N)\)-optimal
16245.c8	16245d6	[1, -1, 1, 113647, -7880038]	[2]	110592

Rank

The elliptic curves in class 16245.c have rank \(1\).

Modular form 16245.2.a.c

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.

\(\left(\begin{array}{rrrrrrrr} 1 & 2 & 4 & 16 & 4 & 8 & 16 & 8 \\ 2 & 1 & 2 & 8 & 2 & 4 & 8 & 4 \\ 4 & 2 & 1 & 16 & 4 & 8 & 16 & 8 \\ 16 & 8 & 16 & 1 & 4 & 2 & 4 & 8 \\ 4 & 2 & 4 & 4 & 1 & 2 & 4 & 2 \\ 8 & 4 & 8 & 2 & 2 & 1 & 2 & 4 \\ 16 & 8 & 16 & 4 & 4 & 2 & 1 & 8 \\ 8 & 4 & 8 & 8 & 2 & 4 & 8 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.