Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-23716.5-n
Conductor 23716.5
Rank \( 0 \)

Related objects

Learn more

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

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

Elliptic curves in class 23716.5-n over \(\Q(\sqrt{-7}) \)

Isogeny class 23716.5-n contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
23716.5-n1 \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -1045 a - 454\) , \( -19530 a + 10059\bigr] \)
23716.5-n2 \( \bigl[1\) , \( -a\) , \( a\) , \( 1044 a - 1498\) , \( 19529 a - 9470\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph