Elliptic curve isogeny class 9.1-a over number field 3.3.1129.1

• Base field: 3.3.1129.1
• Label: 3.3.1129.1-9.1-a
• Conductor: 9.1
• 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 9.1-a over 3.3.1129.1

Isogeny class 9.1-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
9.1-a1	\( \bigl[a^{2} - a - 5\) , \( a\) , \( a^{2} - a - 5\) , \( a - 3\) , \( -2\bigr] \)
9.1-a2	\( \bigl[a^{2} - a - 5\) , \( a\) , \( a^{2} - a - 5\) , \( 6 a - 3\) , \( 3 a^{2} - 2 a - 8\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph