Properties

Base field \(\Q(\sqrt{11}) \)
Label 2.2.44.1-396.1-c
Conductor 396.1
Rank not recorded

Related objects

Learn more about

Base field \(\Q(\sqrt{11}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 11 \); class number \(1\).

Elliptic curves in class 396.1-c over \(\Q(\sqrt{11}) \)

Isogeny class 396.1-c contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
396.1-c1 \( \bigl[0\) , \( -1\) , \( 0\) , \( -77\) , \( 330\bigr] \)
396.1-c2 \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -19381 a - 64280\) , \( 2617494 a + 8681246\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph