Properties

Base field \(\Q(\sqrt{10}) \)
Label 2.2.40.1-405.4-d
Conductor 405.4
Rank \( 1 \)

Related objects

Learn more

Base field \(\Q(\sqrt{10}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 10 \); class number \(2\).

Elliptic curves in class 405.4-d over \(\Q(\sqrt{10}) \)

Isogeny class 405.4-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
405.4-d1 \( \bigl[a\) , \( -a\) , \( 0\) , \( a + 2\) , \( -10 a - 63\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph