Elliptic curve isogeny class with LMFDB label 16830.cd (Cremona label 16830ck)

• Label: 16830.cd
• Number of curves: $2$
• Conductor: $16830$
• CM: no
• Rank: $0$

Elliptic curves in class 16830.cd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
16830.cd1	16830ck2	\([1, -1, 1, -1292, -11091]\)	\(326940373369/112003650\)	\(81650660850\)	\([2]\)	\(16384\)	\(0.79576\)
16830.cd2	16830ck1	\([1, -1, 1, 238, -1299]\)	\(2053225511/2098140\)	\(-1529544060\)	\([2]\)	\(8192\)	\(0.44919\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 16830.cd have rank \(0\).

Complex multiplication

The elliptic curves in class 16830.cd do not have complex multiplication.

Modular form 16830.2.a.cd

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.