Properties

Base field 4.4.6125.1
Label 4.4.6125.1-25.1-a
Conductor 25.1
Rank \( 0 \)

Related objects

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Base field 4.4.6125.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 9 x^{2} + 9 x + 11 \); class number \(1\).

Elliptic curves in class 25.1-a over 4.4.6125.1

Isogeny class 25.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
25.1-a1 \( \bigl[0\) , \( 0\) , \( a^{3} + 2 a^{2} - 6 a - 8\) , \( -12 a^{3} - 19 a^{2} + 73 a + 60\) , \( -50 a^{3} - 59 a^{2} + 276 a + 216\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph