Elliptic curve isogeny class with Cremona label 16900k (LMFDB label 16900.q)

• Label: 16900k
• Number of curves: $2$
• Conductor: $16900$
• CM: no
• Rank: $0$

Elliptic curves in class 16900k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
16900.q2	16900k1	\([0, -1, 0, -18308, -2902888]\)	\(-208\)	\(-3262922884000000\)	\([]\)	\(84240\)	\(1.6613\)	\(\Gamma_0(N)\)-optimal
16900.q1	16900k2	\([0, -1, 0, -2215308, -1268374888]\)	\(-368484688\)	\(-3262922884000000\)	\([]\)	\(252720\)	\(2.2106\)

Rank

The elliptic curves in class 16900k have rank \(0\).

Complex multiplication

The elliptic curves in class 16900k do not have complex multiplication.

Modular form 16900.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.