Elliptic curve isogeny class 25.2-d over number field 6.6.966125.1

• Base field: 6.6.966125.1
• Label: 6.6.966125.1-25.2-d
• Conductor: 25.2
• Rank bounds: 0...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 25.2-d over 6.6.966125.1

Isogeny class 25.2-d contains only one elliptic curve.

Curve label	Weierstrass Coefficients
25.2-d1	\( \bigl[2 a^{5} - 3 a^{4} - 9 a^{3} + 13 a^{2} + 4 a - 3\) , \( a^{5} - a^{4} - 6 a^{3} + 5 a^{2} + 9 a - 2\) , \( a^{5} - a^{4} - 4 a^{3} + 4 a^{2} + a\) , \( 6 a^{5} - 12 a^{4} - 33 a^{3} + 54 a^{2} + 38 a - 17\) , \( 28 a^{5} - 46 a^{4} - 152 a^{3} + 202 a^{2} + 153 a - 69\bigr] \)

Rank

Rank \(r\) satisfies \(0 \le r \le 1\)

Isogeny matrix

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

Isogeny graph