Properties

Base field \(\Q(\sqrt{11}) \)
Label 2.2.44.1-361.2-b
Conductor 361.2
Rank not recorded

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

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

Elliptic curves in class 361.2-b over \(\Q(\sqrt{11}) \)

Isogeny class 361.2-b contains 2 curves linked by isogenies of degree 11.

Curve label Weierstrass Coefficients
361.2-b1 \( \bigl[0\) , \( -a - 1\) , \( a\) , \( -106 a - 350\) , \( -968 a - 3213\bigr] \)
361.2-b2 \( \bigl[0\) , \( a + 1\) , \( 1\) , \( -106 a - 350\) , \( 968 a + 3210\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph