Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-3364.1-b
Conductor 3364.1
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 3364.1-b over \(\Q(\sqrt{-11}) \)

Isogeny class 3364.1-b contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
3364.1-b1 \( \bigl[1\) , \( 1\) , \( 1\) , \( -455\) , \( -3951\bigr] \)
3364.1-b2 \( \bigl[1\) , \( 1\) , \( 1\) , \( 5\) , \( 9\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph