Elliptic curve isogeny class 3600.1-j over number field \(\Q(\sqrt{2}) \)

• Base field: \(\Q(\sqrt{2}) \)
• Label: 2.2.8.1-3600.1-j
• Conductor: 3600.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{2}) \)

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

Elliptic curves in class 3600.1-j over \(\Q(\sqrt{2}) \)

Isogeny class 3600.1-j contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
3600.1-j1	\( \bigl[a\) , \( a + 1\) , \( a\) , \( 9 a - 12\) , \( 16 a - 23\bigr] \)
3600.1-j2	\( \bigl[0\) , \( -a\) , \( 0\) , \( 2 a - 4\) , \( 2 a - 3\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph