Elliptic curve isogeny class 36.1-c over number field \(\Q(\sqrt{301}) \)

• Base field: \(\Q(\sqrt{301}) \)
• Label: 2.2.301.1-36.1-c
• Conductor: 36.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{301}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 75 \); class number \(1\).

Elliptic curves in class 36.1-c over \(\Q(\sqrt{301}) \)

Isogeny class 36.1-c contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
36.1-c1	\( \bigl[a + 1\) , \( a\) , \( 1\) , \( 487 a + 3992\) , \( -336564 a - 2751298\bigr] \)
36.1-c2	\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -25733 a - 210348\) , \( -6745924 a - 55145738\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph