Properties

Base field 4.4.8789.1
Label 4.4.8789.1-5.1-a
Conductor 5.1
Rank \( 0 \)

Related objects

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Base field 4.4.8789.1

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

Elliptic curves in class 5.1-a over 4.4.8789.1

Isogeny class 5.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
5.1-a1 \( \bigl[a^{3} - a^{2} - 5 a - 1\) , \( -2 a^{3} + 3 a^{2} + 11 a\) , \( 2 a^{3} - 3 a^{2} - 9 a\) , \( a^{3} - 2 a^{2} - 3 a + 5\) , \( -3 a^{3} + 5 a^{2} + 16 a - 3\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph