Elliptic curve isogeny class 59.2-a over number field 6.6.485125.1

• Base field: 6.6.485125.1
• Label: 6.6.485125.1-59.2-a
• Conductor: 59.2
• Rank: \( 1 \)

Base field 6.6.485125.1

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

Elliptic curves in class 59.2-a over 6.6.485125.1

Isogeny class 59.2-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
59.2-a1	\( \bigl[a^{4} - a^{3} - 3 a^{2} + 3 a + 2\) , \( -2 a^{5} + 3 a^{4} + 8 a^{3} - 11 a^{2} - 6 a + 7\) , \( a^{5} - a^{4} - 5 a^{3} + 4 a^{2} + 5 a - 2\) , \( -6 a^{5} + 11 a^{4} + 24 a^{3} - 39 a^{2} - 19 a + 22\) , \( -4 a^{5} + 8 a^{4} + 15 a^{3} - 27 a^{2} - 12 a + 15\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph