Elliptic curve isogeny class 29.1-a over number field 4.4.11525.1

• Base field: 4.4.11525.1
• Label: 4.4.11525.1-29.1-a
• Conductor: 29.1
• 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 29.1-a over 4.4.11525.1

Isogeny class 29.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
29.1-a1	\( \bigl[\frac{1}{5} a^{3} + \frac{4}{5} a^{2} - \frac{6}{5} a - 5\) , \( a^{2} - 5\) , \( \frac{1}{5} a^{3} + \frac{4}{5} a^{2} - \frac{11}{5} a - 6\) , \( 2 a^{3} + 4 a^{2} - 10 a - 18\) , \( 3 a^{3} + 6 a^{2} - 14 a - 26\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph