Elliptic curve isogeny class 9.1-a over number field 3.3.1620.1

• Base field: 3.3.1620.1
• Label: 3.3.1620.1-9.1-a
• Conductor: 9.1
• Rank: \( 0 \)

Base field 3.3.1620.1

Generator \(a\), with minimal polynomial \( x^{3} - 12 x - 14 \); class number \(1\).

Elliptic curves in class 9.1-a over 3.3.1620.1

Isogeny class 9.1-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
9.1-a1	\( \bigl[a^{2} - a - 8\) , \( 0\) , \( a^{2} - a - 7\) , \( -a^{2} + a + 8\) , \( -a^{2} + a + 8\bigr] \)
9.1-a2	\( \bigl[a\) , \( -a + 1\) , \( a^{2} - a - 7\) , \( 895 a^{2} - 1248 a - 9005\) , \( 26527 a^{2} - 36898 a - 267004\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph