Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-375.2-b
Conductor 375.2
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{6}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).

Elliptic curves in class 375.2-b over \(\Q(\sqrt{6}) \)

Isogeny class 375.2-b contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
375.2-b1 \( \bigl[1\) , \( -a\) , \( 0\) , \( 168 a - 410\) , \( -1498 a + 3669\bigr] \)
375.2-b2 \( \bigl[1\) , \( -a\) , \( 0\) , \( -247 a + 605\) , \( -8721 a + 21362\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph