Elliptic curve isogeny class 29.2-c over number field 6.6.434581.1

• Base field: 6.6.434581.1
• Label: 6.6.434581.1-29.2-c
• Conductor: 29.2
• Rank: \( 0 \)

Base field 6.6.434581.1

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

Elliptic curves in class 29.2-c over 6.6.434581.1

Isogeny class 29.2-c contains only one elliptic curve.

Curve label	Weierstrass Coefficients
29.2-c1	\( \bigl[a^{5} - a^{4} - 5 a^{3} + a^{2} + 3 a + 1\) , \( -2 a^{5} + 5 a^{4} + 4 a^{3} - 10 a^{2} + a + 1\) , \( 2 a^{5} - 4 a^{4} - 7 a^{3} + 9 a^{2} + 3 a - 3\) , \( 2 a^{5} - 2 a^{4} - 11 a^{3} + 2 a^{2} + 11 a + 4\) , \( 6 a^{5} - 8 a^{4} - 29 a^{3} + 11 a^{2} + 28 a + 6\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph