Elliptic curve isogeny class 29.2-a over number field 4.4.19821.1

• Base field: 4.4.19821.1
• Label: 4.4.19821.1-29.2-a
• Conductor: 29.2
• Rank: \( 0 \)

Base field 4.4.19821.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 8 x^{2} + 6 x + 3 \); class number \(1\).

Elliptic curves in class 29.2-a over 4.4.19821.1

Isogeny class 29.2-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
29.2-a1	\( \bigl[\frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a - 1\) , \( -\frac{1}{3} a^{3} - \frac{1}{3} a^{2} + 3 a + 2\) , \( 1\) , \( -\frac{23}{3} a^{3} - \frac{35}{3} a^{2} + 27 a + 7\) , \( -\frac{134}{3} a^{3} - \frac{248}{3} a^{2} + 113 a + 43\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph