Elliptic curve isogeny class 361.3-a over number field \(\Q(\sqrt{7}) \)

• Base field: \(\Q(\sqrt{7}) \)
• Label: 2.2.28.1-361.3-a
• Conductor: 361.3
• Rank: \( 0 \)

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

Generator \(a\), with minimal polynomial \( x^{2} - 7 \); class number \(1\).

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 361.3-a over \(\Q(\sqrt{7}) \)

Isogeny class 361.3-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
361.3-a1	\( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( 147 a - 374\) , \( -44 a + 130\bigr] \)
361.3-a2	\( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( -25 a - 62\) , \( -60 a - 160\bigr] \)