Elliptic curve isogeny class 32.2-a over number field 6.6.1868969.1

• Base field: 6.6.1868969.1
• Label: 6.6.1868969.1-32.2-a
• Conductor: 32.2
• Rank: \( 0 \)

Base field 6.6.1868969.1

Generator \(a\), with minimal polynomial \( x^{6} - 6 x^{4} - x^{3} + 8 x^{2} + x - 2 \); class number \(1\).

Elliptic curves in class 32.2-a over 6.6.1868969.1

Isogeny class 32.2-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
32.2-a1	\( \bigl[a^{5} - 4 a^{3} - a^{2} + 2 a\) , \( a^{4} - 5 a^{2} - 2 a + 2\) , \( a^{5} + a^{4} - 5 a^{3} - 5 a^{2} + 4 a + 2\) , \( a^{5} - 3 a^{3} - a^{2}\) , \( 2 a^{4} + 2 a^{3} - 4 a^{2} - 4 a - 1\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph