Properties

Base field \(\Q(\sqrt{26}) \)
Label 2.2.104.1-10.1-b
Conductor 10.1
Rank \( 1 \)

Related objects

Learn more

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

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

Elliptic curves in class 10.1-b over \(\Q(\sqrt{26}) \)

Isogeny class 10.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
10.1-b1 \( \bigl[a\) , \( a - 1\) , \( a\) , \( 1479 a - 7517\) , \( -61002 a + 311088\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph