Elliptic curve isogeny class 39204.9-a over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-39204.9-a
• Conductor: 39204.9
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-7}) \)

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

Elliptic curves in class 39204.9-a over \(\Q(\sqrt{-7}) \)

Isogeny class 39204.9-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
39204.9-a1	\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -33 a - 25\) , \( 20 a + 36\bigr] \)
39204.9-a2	\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 48 a - 133\) , \( -304 a + 468\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph