Properties

Base field 4.4.16997.1
Label 4.4.16997.1-23.1-a
Conductor 23.1
Rank \( 0 \)

Related objects

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Base field 4.4.16997.1

Generator \(a\), with minimal polynomial \( x^{4} - 6 x^{2} - x + 5 \); class number \(1\).

Elliptic curves in class 23.1-a over 4.4.16997.1

Isogeny class 23.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
23.1-a1 \( \bigl[a^{3} - a^{2} - 3 a + 2\) , \( a^{3} - 2 a^{2} - 4 a + 5\) , \( a^{3} - a^{2} - 4 a + 3\) , \( -4 a^{3} + 10 a^{2} + a - 7\) , \( 2 a^{3} - 3 a^{2} - 7 a + 7\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph