Properties

Base field \(\Q(\sqrt{10}) \)
Label 2.2.40.1-135.3-a
Conductor 135.3
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 135.3-a over \(\Q(\sqrt{10}) \)

Isogeny class 135.3-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
135.3-a1 \( \bigl[0\) , \( a - 1\) , \( 1\) , \( -5 a - 10\) , \( 6 a + 16\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph