Elliptic curve isogeny class 29.2-a over number field 4.4.11525.1

• Base field: 4.4.11525.1
• Label: 4.4.11525.1-29.2-a
• Conductor: 29.2
• Rank: \( 0 \)

Base field 4.4.11525.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 11 x^{2} + 5 x + 25 \); class number \(1\).

Elliptic curves in class 29.2-a over 4.4.11525.1

Isogeny class 29.2-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
29.2-a1	\( \bigl[a^{2} - 5\) , \( -\frac{1}{5} a^{3} + \frac{6}{5} a^{2} + \frac{1}{5} a - 7\) , \( a^{2} - a - 5\) , \( a^{2} - 3\) , \( \frac{2}{5} a^{3} + \frac{3}{5} a^{2} - \frac{12}{5} a - 4\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph