Properties

Base field 4.4.9909.1
Label 4.4.9909.1-25.1-a
Conductor 25.1
Rank \( 0 \)

Related objects

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Base field 4.4.9909.1

Generator \(a\), with minimal polynomial \( x^{4} - 6 x^{2} - 3 x + 3 \); class number \(1\).

Elliptic curves in class 25.1-a over 4.4.9909.1

Isogeny class 25.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
25.1-a1 \( \bigl[a^{3} - a^{2} - 3 a + 2\) , \( -a + 1\) , \( a\) , \( -4 a^{3} - a^{2} + 2 a - 2\) , \( -17 a^{3} - 13 a^{2} + 14 a - 1\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph