Elliptic curve isogeny class 59.1-a over number field 6.6.1241125.1

• Base field: 6.6.1241125.1
• Label: 6.6.1241125.1-59.1-a
• Conductor: 59.1
• Rank: \( 1 \)

Base field 6.6.1241125.1

Generator \(a\), with minimal polynomial \( x^{6} - 7 x^{4} - 2 x^{3} + 11 x^{2} + 7 x + 1 \); class number \(1\).

Elliptic curves in class 59.1-a over 6.6.1241125.1

Isogeny class 59.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
59.1-a1	\( \bigl[-2 a^{5} + a^{4} + 13 a^{3} - a^{2} - 18 a - 8\) , \( -a^{3} - a^{2} + 4 a + 3\) , \( -2 a^{5} + a^{4} + 14 a^{3} - 2 a^{2} - 22 a - 6\) , \( -46 a^{5} + 61 a^{4} + 242 a^{3} - 239 a^{2} - 199 a - 19\) , \( 312 a^{5} - 389 a^{4} - 1696 a^{3} + 1482 a^{2} + 1567 a + 264\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph