Properties

Base field \(\Q(\sqrt{11}) \)
Label 2.2.44.1-121.1-b
Conductor 121.1
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Base field \(\Q(\sqrt{11}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 11 \); class number \(1\).

Elliptic curves in class 121.1-b over \(\Q(\sqrt{11}) \)

Isogeny class 121.1-b contains 2 curves linked by isogenies of degree 11.

Curve label Weierstrass Coefficients
121.1-b1 \( \bigl[1\) , \( 1\) , \( 1\) , \( -30\) , \( -76\bigr] \)
121.1-b2 \( \bigl[a\) , \( -1\) , \( a\) , \( -7\) , \( 2\bigr] \)

Rank

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Isogeny matrix

\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)

Isogeny graph