Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-23716.4-i
Conductor 23716.4
Rank \( 1 \)

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 23716.4-i over \(\Q(\sqrt{-7}) \)

Isogeny class 23716.4-i contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
23716.4-i1 \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -59 a + 13\) , \( -261 a + 315\bigr] \)
23716.4-i2 \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 6 a - 2\) , \( 5 a - 7\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph