Elliptic curves over 3.3.316.1 of conductor 2.2

Base field	Conductor norm	Rank*	Torsion order	CM discriminant
Base field degree	Base change curves	\(\Q\)-curves	Torsion structure	CM
Analytic order* of Ш	Cyclic isogeny degree	Isogeny class size	Semistable	j-invariant
Regulator*	Curves per isogeny class	Isogeny class degree	Potential good reduction

  *The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.

Results (8 matches)

 

Label	Base field	Conductor	Isogeny class	Weierstrass coefficients
2.2-a1	3.3.316.1	2.2	2.2-a	\( \bigl[a^{2} + a - 3\) , \( -a - 1\) , \( a^{2} - 3\) , \( 971347319857519 a^{2} - 514150241464297 a - 4127391273410075\) , \( 22425156860537519167317 a^{2} - 11870007338272500196506 a - 95287643090023949417928\bigr] \)
2.2-a2	3.3.316.1	2.2	2.2-a	\( \bigl[a^{2} + a - 3\) , \( -a\) , \( a\) , \( -608022265892705467026233 a^{2} + 321836266424514724186808 a + 2583572058090078441238362\) , \( -627730820434767876188418741768082419 a^{2} + 332268331114001902947589285516929027 a + 2667316476142693080354081387519995775\bigr] \)
2.2-a3	3.3.316.1	2.2	2.2-a	\( \bigl[a^{2} + a - 3\) , \( -a + 1\) , \( a^{2} - 3\) , \( -310 a^{2} + 882 a - 364\) , \( -6966 a^{2} + 19620 a - 7728\bigr] \)
2.2-a4	3.3.316.1	2.2	2.2-a	\( \bigl[a^{2} + a - 3\) , \( -a^{2} + 2\) , \( a\) , \( 469933301874402734133 a^{2} - 248743488236812365957 a - 1996812643211595590900\) , \( -8108483751005890586477675293469 a^{2} + 4291954889112701686585656294515 a + 34454087009163876680154219600725\bigr] \)
2.2-a5	3.3.316.1	2.2	2.2-a	\( \bigl[a^{2} + a - 3\) , \( -a^{2} + 2\) , \( a\) , \( 30965253611602296633 a^{2} - 16390422144515520442 a - 131575714394521753905\) , \( -112172935746444460857621319378 a^{2} + 59374994732320022090359795265 a + 476638568561218377704701696552\bigr] \)
2.2-a6	3.3.316.1	2.2	2.2-a	\( \bigl[1\) , \( -a^{2} + 2\) , \( a^{2} - 2\) , \( -397482296655616833 a^{2} + 210393969927507918 a + 1688958139908216880\) , \( 849554077046907793046157006 a^{2} - 449683058696981763869697464 a - 3609874668113250400329290553\bigr] \)
2.2-a7	3.3.316.1	2.2	2.2-a	\( \bigl[1\) , \( -a^{2} + a + 3\) , \( 1\) , \( 3795999062 a^{2} - 2009285242 a - 16129733497\) , \( 186167522763990 a^{2} - 98541556480493 a - 791051967859626\bigr] \)
2.2-a8	3.3.316.1	2.2	2.2-a	\( \bigl[1\) , \( -a^{2} + a + 3\) , \( 1\) , \( 237250327 a^{2} - 125580532 a - 1008109982\) , \( 2909065137552 a^{2} - 1539816409981 a - 12361026604032\bigr] \)