Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-35739.2-a
Conductor 35739.2
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 35739.2-a over \(\Q(\sqrt{-11}) \)

Isogeny class 35739.2-a contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
35739.2-a1 \( \bigl[0\) , \( 1\) , \( 1\) , \( -30063\) , \( -2016358\bigr] \)
35739.2-a2 \( \bigl[0\) , \( 1\) , \( 1\) , \( -363\) , \( -2995\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph