Elliptic curve isogeny class 24964.2-d over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-24964.2-d
• Conductor: 24964.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 24964.2-d over \(\Q(\sqrt{-3}) \)

Isogeny class 24964.2-d contains 5 curves linked by isogenies of degrees dividing 9.

Curve label	Weierstrass Coefficients
24964.2-d1	\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 1178 a - 959\) , \( -16368 a + 5172\bigr] \)
24964.2-d2	\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 958 a - 1179\) , \( 16368 a - 11196\bigr] \)
24964.2-d3	\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -82 a + 81\) , \( -92\bigr] \)
24964.2-d4	\( \bigl[a\) , \( 0\) , \( 1\) , \( 46 a\) , \( 118\bigr] \)
24964.2-d5	\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -5217 a + 5216\) , \( -145452\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph