Elliptic curve isogeny class 11.1-b over number field 6.6.966125.1

• Base field: 6.6.966125.1
• Label: 6.6.966125.1-11.1-b
• Conductor: 11.1
• Rank: \( 0 \)

Base field 6.6.966125.1

Generator \(a\), with minimal polynomial \( x^{6} - x^{5} - 6 x^{4} + 4 x^{3} + 8 x^{2} - 1 \); class number \(1\).

Elliptic curves in class 11.1-b over 6.6.966125.1

Isogeny class 11.1-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
11.1-b1	\( \bigl[a^{5} - a^{4} - 4 a^{3} + 4 a^{2} + a\) , \( -a^{5} + a^{4} + 6 a^{3} - 4 a^{2} - 9 a\) , \( a^{3} - 4 a\) , \( 2 a^{5} + a^{4} - 9 a^{3} - 4 a^{2} + 2 a + 3\) , \( 2 a^{5} + a^{4} - 8 a^{3} - 3 a^{2}\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph