Elliptic curve isogeny class 4332.2-a over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-4332.2-a
• Conductor: 4332.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 4332.2-a over \(\Q(\sqrt{-3}) \)

Isogeny class 4332.2-a contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
4332.2-a1	\( \bigl[1\) , \( 1\) , \( 1\) , \( -5312\) , \( -167551\bigr] \)
4332.2-a2	\( \bigl[1\) , \( 1\) , \( 1\) , \( -352\) , \( -2431\bigr] \)
4332.2-a3	\( \bigl[1\) , \( 1\) , \( 1\) , \( -5472\) , \( -158079\bigr] \)
4332.2-a4	\( \bigl[1\) , \( 1\) , \( 1\) , \( -87552\) , \( -10007679\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph