Elliptic Curve Isogeny Class with LMFDB label 102.c (Cremona label 102b)

• Label: 102.c
• Number of curves: 6
• Conductor: 102
• CM: no
• Rank: 0

Elliptic curves in class 102.c

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
102.c1	102b5	[1, 0, 0, -27744, -1781010]	[2]	128
102.c2	102b3	[1, 0, 0, -1734, -27936]	[2, 2]	64
102.c3	102b6	[1, 0, 0, -1644, -30942]	[2]	128
102.c4	102b2	[1, 0, 0, -114, -396]	[2, 4]	32
102.c5	102b1	[1, 0, 0, -34, 68]	[8]	16	\(\Gamma_0(N)\)-optimal
102.c6	102b4	[1, 0, 0, 226, -2232]	[4]	64

Rank

The elliptic curves in class 102.c have rank \(0\).

Modular form 102.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.