Elliptic curve isogeny class 150.1-c over number field \(\Q(\sqrt{6}) \)

• Base field: \(\Q(\sqrt{6}) \)
• Label: 2.2.24.1-150.1-c
• Conductor: 150.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 150.1-c over \(\Q(\sqrt{6}) \)

Isogeny class 150.1-c contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
150.1-c1	\( \bigl[1\) , \( 1\) , \( a + 1\) , \( 1374 a - 3353\) , \( 43846 a - 107425\bigr] \)
150.1-c2	\( \bigl[1\) , \( 1\) , \( a + 1\) , \( 84 a - 213\) , \( 710 a - 1749\bigr] \)
150.1-c3	\( \bigl[1\) , \( 1\) , \( a + 1\) , \( 4 a - 13\) , \( 14 a - 37\bigr] \)
150.1-c4	\( \bigl[1\) , \( 1\) , \( a + 1\) , \( 74 a - 273\) , \( 518 a - 1641\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph