Properties

Base field 4.4.19429.1
Label 4.4.19429.1-3.1-a
Conductor 3.1
Rank \( 0 \)

Related objects

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Base field 4.4.19429.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 7 x^{2} - x + 5 \); class number \(1\).

Elliptic curves in class 3.1-a over 4.4.19429.1

Isogeny class 3.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
3.1-a1 \( \bigl[a^{2} - a - 4\) , \( -a^{3} + a^{2} + 4 a + 3\) , \( 0\) , \( -2 a^{3} - 2 a^{2} + 20 a + 24\) , \( 2 a^{3} - 15 a^{2} + 14 a + 41\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph