Properties

Base field 4.4.15952.1
Label 4.4.15952.1-11.2-a
Conductor 11.2
Rank \( 1 \)

Related objects

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Base field 4.4.15952.1

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

Elliptic curves in class 11.2-a over 4.4.15952.1

Isogeny class 11.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
11.2-a1 \( \bigl[a^{3} - 6 a\) , \( a^{2} - a - 3\) , \( a^{2} - a - 2\) , \( -a + 2\) , \( 0\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph