Elliptic curve isogeny class 90.1-d over number field \(\Q(\sqrt{10}) \)

• Base field: \(\Q(\sqrt{10}) \)
• Label: 2.2.40.1-90.1-d
• Conductor: 90.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 90.1-d over \(\Q(\sqrt{10}) \)

Isogeny class 90.1-d contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
90.1-d1	\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 18 a - 46\) , \( 56 a - 174\bigr] \)
90.1-d2	\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 258 a - 846\) , \( 3960 a - 12654\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph