Properties

Base field 4.4.6125.1
Label 4.4.6125.1-59.2-a
Conductor 59.2
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 59.2-a over 4.4.6125.1

Isogeny class 59.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
59.2-a1 \( \bigl[a^{3} + a^{2} - 5 a - 3\) , \( -a^{3} - 2 a^{2} + 6 a + 8\) , \( 2 a^{3} + 3 a^{2} - 12 a - 12\) , \( -19 a^{3} + 25 a^{2} + 142 a - 229\) , \( -404 a^{3} + 705 a^{2} + 3109 a - 5954\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph