Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-76050.5-m
Conductor 76050.5
Rank \( 1 \)

Related objects

Learn more

Base field \(\Q(\sqrt{-1}) \)

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

Elliptic curves in class 76050.5-m over \(\Q(\sqrt{-1}) \)

Isogeny class 76050.5-m contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
76050.5-m1 \( \bigl[i\) , \( -1\) , \( i\) , \( 5\) , \( 7\bigr] \)
76050.5-m2 \( \bigl[i\) , \( -1\) , \( i\) , \( -45\) , \( 127\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph