Elliptic Curve Isogeny Class with LMFDB label 37905.g (Cremona label 37905k)

• Label: 37905.g
• Number of curves: 4
• Conductor: 37905
• CM: no
• Rank: 0

Elliptic curves in class 37905.g

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
37905.g1	37905k4	[1, 1, 1, -40620, 3133920]	[2]	96768
37905.g2	37905k2	[1, 1, 1, -2715, 40872]	[2, 2]	48384
37905.g3	37905k1	[1, 1, 1, -910, -10390]	[2]	24192	\(\Gamma_0(N)\)-optimal
37905.g4	37905k3	[1, 1, 1, 6310, 264692]	[2]	96768

Rank

The elliptic curves in class 37905.g have rank \(0\).

Modular form 37905.2.a.g

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.