Elliptic curve isogeny class 31.2-a over number field 6.6.966125.1

• Base field: 6.6.966125.1
• Label: 6.6.966125.1-31.2-a
• Conductor: 31.2
• Rank: \( 0 \)

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 31.2-a over 6.6.966125.1

Isogeny class 31.2-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
31.2-a1	\( \bigl[2 a^{5} - 2 a^{4} - 9 a^{3} + 9 a^{2} + 4 a - 2\) , \( 2 a^{5} - 3 a^{4} - 10 a^{3} + 13 a^{2} + 8 a - 2\) , \( a^{5} - a^{4} - 4 a^{3} + 5 a^{2} - 3\) , \( 11 a^{5} - 7 a^{4} - 46 a^{3} + 33 a^{2} + 12 a - 5\) , \( 16 a^{5} - 6 a^{4} - 64 a^{3} + 34 a^{2} + 12 a - 7\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph