Properties

Base field \(\Q(\sqrt{11}) \)
Label 2.2.44.1-392.1-d
Conductor 392.1
Rank \( 1 \)

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 392.1-d over \(\Q(\sqrt{11}) \)

Isogeny class 392.1-d contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
392.1-d1 \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 9 a - 3\) , \( 612 a - 2003\bigr] \)
392.1-d2 \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 609 a - 1993\) , \( 14382 a - 47673\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph