Elliptic curve isogeny class 109.3-c over number field 6.6.1292517.1

• Base field: 6.6.1292517.1
• Label: 6.6.1292517.1-109.3-c
• Conductor: 109.3
• Rank: \( 0 \)

Base field 6.6.1292517.1

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

Elliptic curves in class 109.3-c over 6.6.1292517.1

Isogeny class 109.3-c contains only one elliptic curve.

Curve label	Weierstrass Coefficients
109.3-c1	\( \bigl[-a^{3} + a^{2} + 4 a - 2\) , \( -a^{3} + 3 a + 1\) , \( a^{5} - 6 a^{3} + 4 a - 2\) , \( a^{5} - 6 a^{3} + 2 a^{2} + 3 a - 3\) , \( -4 a^{5} - 2 a^{4} + 22 a^{3} + 17 a^{2} - 15 a - 10\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph