Elliptic curve isogeny class 43.2-b over number field 6.6.434581.1

• Base field: 6.6.434581.1
• Label: 6.6.434581.1-43.2-b
• Conductor: 43.2
• Rank: \( 1 \)

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 43.2-b over 6.6.434581.1

Isogeny class 43.2-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
43.2-b1	\( \bigl[3 a^{5} - 6 a^{4} - 10 a^{3} + 12 a^{2} + 4 a - 3\) , \( a^{5} - 3 a^{4} - 2 a^{3} + 8 a^{2} + a - 3\) , \( a^{5} - 2 a^{4} - 3 a^{3} + 4 a^{2} - 1\) , \( -2 a^{5} - 2 a^{4} + 13 a^{3} + 19 a^{2} - 4 a - 9\) , \( -13 a^{5} + 16 a^{4} + 56 a^{3} - 13 a^{2} - 25 a + 4\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph