Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-14175.1-a
Conductor 14175.1
Rank not recorded

Related objects

Learn more about

Base field \(\Q(\sqrt{-7}) \)

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

Elliptic curves in class 14175.1-a over \(\Q(\sqrt{-7}) \)

Isogeny class 14175.1-a contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
14175.1-a1 \( \bigl[1\) , \( -1\) , \( 1\) , \( 157\) , \( 992\bigr] \)
14175.1-a2 \( \bigl[1\) , \( -1\) , \( 1\) , \( -68\) , \( 182\bigr] \)
14175.1-a3 \( \bigl[1\) , \( -1\) , \( 1\) , \( -23\) , \( -34\bigr] \)
14175.1-a4 \( \bigl[1\) , \( -1\) , \( 1\) , \( -1013\) , \( 12656\bigr] \)

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