Elliptic curve isogeny class 9.1-b over number field 3.3.1129.1

• Base field: 3.3.1129.1
• Label: 3.3.1129.1-9.1-b
• Conductor: 9.1
• Rank: \( 1 \)

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-b over 3.3.1129.1

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

Curve label	Weierstrass Coefficients
9.1-b1	\( \bigl[a^{2} - 5\) , \( 0\) , \( a + 1\) , \( 14 a^{2} + 5 a - 131\) , \( -80 a^{2} + 72 a + 437\bigr] \)
9.1-b2	\( \bigl[a^{2} - 5\) , \( 0\) , \( a + 1\) , \( -a^{2} + 4\) , \( -a^{2} + a + 2\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph