Properties

Base field 4.4.19821.1
Label 4.4.19821.1-29.2-a
Conductor 29.2
Rank not recorded

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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 not yet determined.

Isogeny matrix

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

Isogeny graph