Properties

Base field 4.4.4205.1
Label 4.4.4205.1-23.2-c
Conductor 23.2
Rank \( 1 \)

Related objects

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Base field 4.4.4205.1

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

Elliptic curves in class 23.2-c over 4.4.4205.1

Isogeny class 23.2-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
23.2-c1 \( \bigl[0\) , \( -a^{2} + 3 a + 1\) , \( 1\) , \( -a^{3} + 4 a^{2} - 2 a - 3\) , \( 3 a^{3} - 5 a^{2} - 9 a - 3\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph