Elliptic curve isogeny class 108.2-a over number field \(\Q(\sqrt{10}) \)

• Base field: \(\Q(\sqrt{10}) \)
• Label: 2.2.40.1-108.2-a
• Conductor: 108.2
• Rank: \( 0 \)

Base field \(\Q(\sqrt{10}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 10 \); class number \(2\).

Elliptic curves in class 108.2-a over \(\Q(\sqrt{10}) \)

Isogeny class 108.2-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
108.2-a1	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 186 a + 594\) , \( 12086 a + 38222\bigr] \)
108.2-a2	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -214 a - 671\) , \( 2985 a + 9442\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph