Elliptic curve isogeny class 39204.4-e over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-39204.4-e
• Conductor: 39204.4
• Rank: \( 0 \)

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

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

Elliptic curves in class 39204.4-e over \(\Q(\sqrt{-7}) \)

Isogeny class 39204.4-e contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
39204.4-e1	\( \bigl[1\) , \( -1\) , \( 1\) , \( 72 a - 32\) , \( 54 a + 857\bigr] \)
39204.4-e2	\( \bigl[1\) , \( -1\) , \( 1\) , \( 108 a + 145\) , \( -584 a + 1451\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph