Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-18496.1-b
Conductor 18496.1
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 18496.1-b over \(\Q(\sqrt{-11}) \)

Isogeny class 18496.1-b contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
18496.1-b1 \( \bigl[0\) , \( -1\) , \( 0\) , \( -8\) , \( -4\bigr] \)
18496.1-b2 \( \bigl[0\) , \( -1\) , \( 0\) , \( -48\) , \( 140\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph