Properties

Base field \(\Q(\sqrt{10}) \)
Label 2.2.40.1-405.2-b
Conductor 405.2
Rank \( 0 \)

Related objects

Learn more

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

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

Elliptic curves in class 405.2-b over \(\Q(\sqrt{10}) \)

Isogeny class 405.2-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
405.2-b1 \( \bigl[0\) , \( a + 1\) , \( a + 1\) , \( -4 a + 14\) , \( 11 a - 39\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph