Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-9801.3-n
Conductor 9801.3
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 9801.3-n over \(\Q(\sqrt{-11}) \)

Isogeny class 9801.3-n contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
9801.3-n1 \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 529 a - 518\) , \( -6261 a - 947\bigr] \)
9801.3-n2 \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 34 a - 23\) , \( -123 a + 43\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph