Elliptic curve isogeny class 9.4-a over number field 3.3.1129.1

• Base field: 3.3.1129.1
• Label: 3.3.1129.1-9.4-a
• Conductor: 9.4
• Rank: \( 0 \)

Base field 3.3.1129.1

Generator \(a\), with minimal polynomial \( x^{3} - 7 x - 3 \); class number \(1\).

Elliptic curves in class 9.4-a over 3.3.1129.1

Isogeny class 9.4-a contains 4 curves linked by isogenies of degrees dividing 6.

Curve label	Weierstrass Coefficients
9.4-a1	\( \bigl[a\) , \( a^{2} - 6\) , \( 1\) , \( -92 a^{2} - 255 a - 84\) , \( 1250 a^{2} + 3547 a + 1315\bigr] \)
9.4-a2	\( \bigl[a\) , \( a^{2} - 6\) , \( 1\) , \( -7 a^{2} - 15 a + 6\) , \( 15 a^{2} + 39 a + 7\bigr] \)
9.4-a3	\( \bigl[1\) , \( -a^{2} + 5\) , \( a\) , \( 244 a^{2} - 112 a - 1671\) , \( -3359 a^{2} + 1493 a + 22889\bigr] \)
9.4-a4	\( \bigl[1\) , \( -a^{2} + 5\) , \( a\) , \( 14 a^{2} - 7 a - 96\) , \( -34 a^{2} + 15 a + 230\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph