Properties

Base field \(\Q(\sqrt{26}) \)
Label 2.2.104.1-1.1-b
Conductor 1.1
Rank \( 0 \)

Related objects

Learn more

Base field \(\Q(\sqrt{26}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 26 \); class number \(2\).

Elliptic curves in class 1.1-b over \(\Q(\sqrt{26}) \)

Isogeny class 1.1-b contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
1.1-b1 \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 2396 a - 12214\) , \( 139366 a - 710632\bigr] \)
1.1-b2 \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -4 a + 26\) , \( 46 a - 232\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph