Elliptic Curve Isogeny Class 59.3-b over Number Field 6.6.485125.1

• Base field: 6.6.485125.1
• Label: 6.6.485125.1-59.3-b
• Conductor: 59.3
• Rank: not recorded

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 59.3-b over 6.6.485125.1

Isogeny class 59.3-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
59.3-b1	\( \bigl[a^{5} - a^{4} - 4 a^{3} + 4 a^{2} + 2 a - 2\) , \( -a + 1\) , \( -2 a^{5} + 3 a^{4} + 9 a^{3} - 10 a^{2} - 7 a + 4\) , \( -a^{5} + 6 a^{3} - 2 a^{2} - 6 a + 3\) , \( a^{4} - 2 a^{3} - a^{2} + a - 1\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph