Elliptic curve isogeny class 9.4-b over number field 3.3.1129.1

• Base field: 3.3.1129.1
• Label: 3.3.1129.1-9.4-b
• 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-b over 3.3.1129.1

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

Curve label	Weierstrass Coefficients
9.4-b1	\( \bigl[a^{2} - 4\) , \( -a^{2} + 5\) , \( a^{2} - 4\) , \( 2 a^{2} - 29\) , \( 37 a^{2} - 21 a - 240\bigr] \)
9.4-b2	\( \bigl[a^{2} - 4\) , \( -a^{2} + 5\) , \( a^{2} - 4\) , \( -3 a^{2} + 16\) , \( -2 a^{2} + 12\bigr] \)
9.4-b3	\( \bigl[a\) , \( 0\) , \( a\) , \( 15029 a^{2} - 6624 a - 102288\) , \( 1796834 a^{2} - 792057 a - 12228698\bigr] \)
9.4-b4	\( \bigl[a\) , \( 0\) , \( a\) , \( 939 a^{2} - 414 a - 6393\) , \( 28087 a^{2} - 12381 a - 191153\bigr] \)

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