Elliptic curve isogeny class 57600.1-n over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-57600.1-n
• Conductor: 57600.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-3}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).

Elliptic curves in class 57600.1-n over \(\Q(\sqrt{-3}) \)

Isogeny class 57600.1-n contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
57600.1-n1	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -172 a + 128\) , \( -52 a + 700\bigr] \)
57600.1-n2	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -52 a + 8\) , \( 188 a - 116\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph