Elliptic curve isogeny class 59.3-a over number field 6.6.966125.1

• Base field: 6.6.966125.1
• Label: 6.6.966125.1-59.3-a
• Conductor: 59.3
• Rank: \( 1 \)

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 59.3-a over 6.6.966125.1

Isogeny class 59.3-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
59.3-a1	\( \bigl[a^{5} - a^{4} - 4 a^{3} + 5 a^{2} + a - 2\) , \( a^{5} - a^{4} - 6 a^{3} + 4 a^{2} + 8 a\) , \( 2 a^{5} - 3 a^{4} - 9 a^{3} + 13 a^{2} + 4 a - 3\) , \( 2 a^{5} + 6 a^{4} - 7 a^{3} - 22 a^{2} + 3 a + 5\) , \( 8 a^{5} + 13 a^{4} - 31 a^{3} - 50 a^{2} + 3 a + 7\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph