Properties

Base field 4.4.5725.1
Label 4.4.5725.1-29.2-d
Conductor 29.2
Rank \( 0 \)

Related objects

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Base field 4.4.5725.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 8 x^{2} + 6 x + 11 \); class number \(1\).

Elliptic curves in class 29.2-d over 4.4.5725.1

Isogeny class 29.2-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
29.2-d1 \( \bigl[\frac{1}{3} a^{3} - \frac{5}{3} a + \frac{4}{3}\) , \( -a^{2} - a + 5\) , \( 1\) , \( a^{3} - 4 a^{2} + 7\) , \( -4 a^{3} + 9 a^{2} + 12 a - 28\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph