Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-375.1-a
Conductor 375.1
Rank \( 1 \)

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 375.1-a over \(\Q(\sqrt{6}) \)

Isogeny class 375.1-a contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
375.1-a1 \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 36 a - 72\) , \( -184 a + 433\bigr] \)
375.1-a2 \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( a - 7\) , \( -8 a - 1\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph