Properties

Base field 4.4.8789.1
Label 4.4.8789.1-25.1-b
Conductor 25.1
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 25.1-b over 4.4.8789.1

Isogeny class 25.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
25.1-b1 \( \bigl[1\) , \( -2 a^{3} + 3 a^{2} + 10 a\) , \( 1\) , \( 5 a^{3} - 9 a^{2} - 24 a + 8\) , \( -13 a^{3} + 22 a^{2} + 62 a - 18\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph