Elliptic curve isogeny class with LMFDB label 16820.c (Cremona label 16820b)

• Label: 16820.c
• Number of curves: $4$
• Conductor: $16820$
• CM: no
• Rank: $0$

Elliptic curves in class 16820.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
16820.c1	16820b3	\([0, -1, 0, -34761, -2482414]\)	\(488095744/125\)	\(1189646642000\)	\([2]\)	\(36288\)	\(1.3030\)
16820.c2	16820b4	\([0, -1, 0, -30556, -3109800]\)	\(-20720464/15625\)	\(-2379293284000000\)	\([2]\)	\(72576\)	\(1.6496\)
16820.c3	16820b1	\([0, -1, 0, -1121, 10310]\)	\(16384/5\)	\(47585865680\)	\([2]\)	\(12096\)	\(0.75370\)	\(\Gamma_0(N)\)-optimal
16820.c4	16820b2	\([0, -1, 0, 3084, 65816]\)	\(21296/25\)	\(-3806869254400\)	\([2]\)	\(24192\)	\(1.1003\)

Rank

The elliptic curves in class 16820.c have rank \(0\).

Complex multiplication

The elliptic curves in class 16820.c do not have complex multiplication.

Modular form 16820.2.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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.