Elliptic curve isogeny class 375.1-e over number field \(\Q(\sqrt{6}) \)

• Base field: \(\Q(\sqrt{6}) \)
• Label: 2.2.24.1-375.1-e
• Conductor: 375.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 375.1-e over \(\Q(\sqrt{6}) \)

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

Curve label	Weierstrass Coefficients
375.1-e1	\( \bigl[a\) , \( a - 1\) , \( 1\) , \( 3 a - 6\) , \( 3 a - 7\bigr] \)
375.1-e2	\( \bigl[a\) , \( -1\) , \( a + 1\) , \( -14 a - 36\) , \( 39 a + 95\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph