Elliptic curve isogeny class 13.2-a over number field 6.6.703493.1

• Base field: 6.6.703493.1
• Label: 6.6.703493.1-13.2-a
• Conductor: 13.2
• Rank: \( 0 \)

Base field 6.6.703493.1

Generator \(a\), with minimal polynomial \( x^{6} - 2 x^{5} - 5 x^{4} + 11 x^{3} + 2 x^{2} - 9 x + 1 \); class number \(1\).

Elliptic curves in class 13.2-a over 6.6.703493.1

Isogeny class 13.2-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
13.2-a1	\( \bigl[2 a^{5} - a^{4} - 11 a^{3} + 6 a^{2} + 11 a - 2\) , \( -a - 1\) , \( 2 a^{5} - a^{4} - 11 a^{3} + 5 a^{2} + 10 a\) , \( 3 a^{5} + 4 a^{4} - 9 a^{3} - 7 a^{2} + 4 a\) , \( 23 a^{5} + 2 a^{4} - 113 a^{3} + 25 a^{2} + 99 a - 12\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph