Elliptic curve isogeny class with LMFDB label 570.i (Cremona label 570i)

• Label: 570.i
• Number of curves: $4$
• Conductor: $570$
• CM: no
• Rank: $0$

Elliptic curves in class 570.i

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
570.i1	570i4	[1, 1, 1, -492480, 132819117]	[2]	3840
570.i2	570i3	[1, 1, 1, -31160, 2011565]	[2]	3840
570.i3	570i2	[1, 1, 1, -30780, 2065677]	[2, 2]	1920
570.i4	570i1	[1, 1, 1, -1900, 32525]	[4]	960	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 570.i have rank \(0\).

Modular form 570.2.a.i

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.