Elliptic curve isogeny class 5929.2-b over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-5929.2-b
• Conductor: 5929.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 5929.2-b over \(\Q(\sqrt{-3}) \)

Isogeny class 5929.2-b contains 5 curves linked by isogenies of degrees dividing 9.

Curve label	Weierstrass Coefficients
5929.2-b1	\( \bigl[0\) , \( a - 1\) , \( 1\) , \( 89 a\) , \( 295\bigr] \)
5929.2-b2	\( \bigl[0\) , \( a - 1\) , \( 1\) , \( 49 a\) , \( 600\bigr] \)
5929.2-b3	\( \bigl[0\) , \( a - 1\) , \( 1\) , \( -441 a\) , \( -15815\bigr] \)
5929.2-b4	\( \bigl[0\) , \( a - 1\) , \( 1\) , \( -3911 a + 5170\) , \( 50798 a + 90261\bigr] \)
5929.2-b5	\( \bigl[0\) , \( a - 1\) , \( 1\) , \( 1259 a - 5170\) , \( -50798 a + 141059\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrrr} 1 & 3 & 9 & 9 & 9 \\ 3 & 1 & 3 & 3 & 3 \\ 9 & 3 & 1 & 9 & 9 \\ 9 & 3 & 9 & 1 & 9 \\ 9 & 3 & 9 & 9 & 1 \end{array}\right)\)

Isogeny graph