Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-99.3-a
Conductor 99.3
Rank \( 0 \)

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 99.3-a over \(\Q(\sqrt{-11}) \)

Isogeny class 99.3-a contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
99.3-a1 \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 12 a - 27\) , \( -30 a + 20\bigr] \)
99.3-a2 \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 2 a - 2\) , \( -1\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph