Properties

Base field 4.4.16997.1
Label 4.4.16997.1-23.1-b
Conductor 23.1
Rank \( 1 \)

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-b over 4.4.16997.1

Isogeny class 23.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
23.1-b1 \( \bigl[a\) , \( -a^{3} + 5 a + 1\) , \( a\) , \( a^{3} - 5 a^{2} + a + 10\) , \( 3 a^{3} - 8 a^{2} - 3 a + 11\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph