Properties

Base field \(\Q(\sqrt{77}) \)
Label 2.2.77.1-77.1-i
Conductor 77.1
Rank not recorded

Related objects

Learn more about

Base field \(\Q(\sqrt{77}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 19 \); class number \(1\).

Elliptic curves in class 77.1-i over \(\Q(\sqrt{77}) \)

Isogeny class 77.1-i contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
77.1-i1 \( \bigl[1\) , \( 1\) , \( 0\) , \( 4\) , \( 11\bigr] \)
77.1-i2 \( \bigl[1\) , \( 1\) , \( 0\) , \( -51\) , \( 110\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph