Elliptic curve isogeny class 150.2-d over number field \(\Q(\sqrt{6}) \)

• Base field: \(\Q(\sqrt{6}) \)
• Label: 2.2.24.1-150.2-d
• Conductor: 150.2
• Rank: \( 1 \)

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

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

Elliptic curves in class 150.2-d over \(\Q(\sqrt{6}) \)

Isogeny class 150.2-d contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
150.2-d1	\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -196 a - 486\) , \( 4679 a + 11464\bigr] \)
150.2-d2	\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -251 a - 616\) , \( 3129 a + 7664\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph