Elliptic curve isogeny class 91.1-a over number field 6.6.592661.1

• Base field: 6.6.592661.1
• Label: 6.6.592661.1-91.1-a
• Conductor: 91.1
• Rank: \( 0 \)

Base field 6.6.592661.1

Generator \(a\), with minimal polynomial \( x^{6} - x^{5} - 5 x^{4} + 4 x^{3} + 5 x^{2} - 2 x - 1 \); class number \(1\).

Elliptic curves in class 91.1-a over 6.6.592661.1

Isogeny class 91.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
91.1-a1	\( \bigl[2 a^{5} - 2 a^{4} - 9 a^{3} + 8 a^{2} + 5 a - 4\) , \( a^{5} - a^{4} - 5 a^{3} + 4 a^{2} + 5 a - 2\) , \( a^{4} - 4 a^{2} + 2\) , \( 3 a^{5} - 16 a^{3} - 3 a^{2} + 18 a + 9\) , \( 9 a^{5} - 4 a^{4} - 47 a^{3} + 9 a^{2} + 48 a + 11\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph