Elliptic Curve Isogeny Class with LMFDB label 112.b (Cremona label 112b)

• Label: 112.b
• Number of curves: 4
• Conductor: 112
• CM: no
• Rank: 0

Elliptic curves in class 112.b

LMFDB label	Cremona label	Weierstrass coefficients	Torsion order	Modular degree	Optimality
112.b1	112b3	[0, 0, 0, -299, -1990]	2	16
112.b2	112b4	[0, 0, 0, -59, 138]	4	16
112.b3	112b2	[0, 0, 0, -19, -30]	4	8
112.b4	112b1	[0, 0, 0, 1, -2]	2	4	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 112.b have rank \(0\).

Modular form 112.2.a.b

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.