Properties

Base field \(\Q(\sqrt{38}) \)
Label 2.2.152.1-26.2-c
Conductor 26.2
Rank \( 1 \)

Related objects

Learn more

Base field \(\Q(\sqrt{38}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 38 \); class number \(1\).

Elliptic curves in class 26.2-c over \(\Q(\sqrt{38}) \)

Isogeny class 26.2-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
26.2-c1 \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 106 a - 607\) , \( 1614 a - 9889\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph