Properties

Base field \(\Q(\sqrt{11}) \)
Label 2.2.44.1-361.1-b
Conductor 361.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{11}) \)

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

Elliptic curves in class 361.1-b over \(\Q(\sqrt{11}) \)

Isogeny class 361.1-b contains 3 curves linked by isogenies of degrees dividing 9.

Curve label Weierstrass Coefficients
361.1-b1 \( \bigl[0\) , \( 1\) , \( 1\) , \( -769\) , \( -8470\bigr] \)
361.1-b2 \( \bigl[0\) , \( 1\) , \( 1\) , \( -9\) , \( -15\bigr] \)
361.1-b3 \( \bigl[0\) , \( 1\) , \( 1\) , \( 1\) , \( 0\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 3 & 9 \\ 3 & 1 & 3 \\ 9 & 3 & 1 \end{array}\right)\)

Isogeny graph