Properties

Base field \(\Q(\sqrt{11}) \)
Label 2.2.44.1-200.1-h
Conductor 200.1
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 200.1-h over \(\Q(\sqrt{11}) \)

Isogeny class 200.1-h contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
200.1-h1 \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 6 a - 18\) , \( 52 a - 173\bigr] \)
200.1-h2 \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -9 a - 26\) , \( 13 a + 44\bigr] \)
200.1-h3 \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -59 a - 201\) , \( -452 a - 1521\bigr] \)
200.1-h4 \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -119 a - 391\) , \( 1264 a + 4193\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph