Properties

Base field \(\Q(\sqrt{11}) \)
Label 2.2.44.1-392.1-f
Conductor 392.1
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 392.1-f over \(\Q(\sqrt{11}) \)

Isogeny class 392.1-f contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
392.1-f1 \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 17 a + 55\) , \( -257 a - 854\bigr] \)
392.1-f2 \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -883 a - 2930\) , \( 18298 a + 60686\bigr] \)
392.1-f3 \( \bigl[a + 1\) , \( a\) , \( 0\) , \( 288 a - 934\) , \( 4304 a - 14256\bigr] \)
392.1-f4 \( \bigl[a + 1\) , \( a\) , \( 0\) , \( 4488 a - 14864\) , \( 294804 a - 977736\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph