Elliptic curve isogeny class 2.1-c over number field 3.3.1944.1

• Base field: 3.3.1944.1
• Label: 3.3.1944.1-2.1-c
• Conductor: 2.1
• Rank: \( 0 \)

Base field 3.3.1944.1

Generator \(a\), with minimal polynomial \( x^{3} - 9 x - 6 \); class number \(1\).

Elliptic curves in class 2.1-c over 3.3.1944.1

Isogeny class 2.1-c contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
2.1-c1	\( \bigl[a^{2} - 5\) , \( a^{2} - a - 5\) , \( 1\) , \( -517 a^{2} + 1321 a + 1192\) , \( -15820 a^{2} + 40711 a + 36609\bigr] \)
2.1-c2	\( \bigl[a^{2} - 5\) , \( a^{2} - a - 5\) , \( 1\) , \( 93416729759735 a^{2} + 307335910737137 a + 170367700502150\) , \( 59107009756310749194745 a^{2} + 194458816114912159812506 a + 107795738104301959039455\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph