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

• Base field: \(\Q(\sqrt{6}) \)
• Label: 2.2.24.1-150.2-a
• Conductor: 150.2
• Rank: \( 0 \)

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

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

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

Isogeny class 150.2-a contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
150.2-a1	\( \bigl[1\) , \( 0\) , \( a\) , \( 1551 a - 3814\) , \( 52326 a - 128206\bigr] \)
150.2-a2	\( \bigl[1\) , \( 0\) , \( a\) , \( a - 4\) , \( 6 a - 16\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph