Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-1444.1-a
Conductor 1444.1
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{-11}) \)

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

Elliptic curves in class 1444.1-a over \(\Q(\sqrt{-11}) \)

Isogeny class 1444.1-a contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
1444.1-a1 \( \bigl[1\) , \( 1\) , \( 1\) , \( -70\) , \( -279\bigr] \)
1444.1-a2 \( \bigl[1\) , \( 1\) , \( 1\) , \( 0\) , \( 1\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph