Properties

Base field \(\Q(\sqrt{10}) \)
Label 2.2.40.1-135.3-b
Conductor 135.3
Rank \( 1 \)

Related objects

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

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

Elliptic curves in class 135.3-b over \(\Q(\sqrt{10}) \)

Isogeny class 135.3-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
135.3-b1 \( \bigl[a\) , \( -a\) , \( a\) , \( 4 a - 3\) , \( 5 a + 18\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph