Elliptic curve isogeny class 150.3-g over number field \(\Q(\sqrt{6}) \)

• Base field: \(\Q(\sqrt{6}) \)
• Label: 2.2.24.1-150.3-g
• Conductor: 150.3
• Rank: \( 0 \)

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

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

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 150.3-g over \(\Q(\sqrt{6}) \)

Isogeny class 150.3-g contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
150.3-g1	\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 125 a - 315\) , \( -210 a + 507\bigr] \)
150.3-g2	\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 1605 a - 3995\) , \( -53330 a + 130427\bigr] \)