Elliptic curve search results

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 (6 matches)

 

Label	Base field	Conductor	Isogeny class	Weierstrass coefficients
2.2-a2	3.3.316.1	2.2	2.2-a	\( \bigl[a^{2} + a - 3\) , \( -a\) , \( a\) , \( -608022265892705467026233 a^{2} + 321836266424514724186808 a + 2583572058090078441238362\) , \( -627730820434767876188418741768082419 a^{2} + 332268331114001902947589285516929027 a + 2667316476142693080354081387519995775\bigr] \)
16.5-b3	3.3.316.1	16.5	16.5-b	\( \bigl[a^{2} - 3\) , \( -a^{2} + a + 2\) , \( a^{2} + a - 2\) , \( -109074459285818 a^{2} + 57734919768569 a + 463472706625929\) , \( 1508268935406496095109 a^{2} - 798351754803931876384 a - 6408846675837241310282\bigr] \)
32.1-c2	3.3.316.1	32.1	32.1-c	\( \bigl[a\) , \( a^{2} - 3\) , \( a^{2} - 2\) , \( -77888706625301391598868 a^{2} + 41227783821563007723392 a + 330960060784047749989794\) , \( 28781005690695861341828735825476034 a^{2} - 15234263504867798437609722439797286 a - 122294538008473034126916564710880454\bigr] \)
64.7-a5	3.3.316.1	64.7	64.7-a	\( \bigl[a + 1\) , \( -a^{2} + 2\) , \( a^{2} - 3\) , \( -2894790049560 a^{2} + 1532260369223 a + 12300369748958\) , \( -6521086825648874308 a^{2} + 3451719377275691295 a + 27709014383527172465\bigr] \)
64.7-d3	3.3.316.1	64.7	64.7-d	\( \bigl[a^{2} - 3\) , \( a^{2} - a - 4\) , \( a + 1\) , \( -2894790049560 a^{2} + 1532260369223 a + 12300369748958\) , \( 6521086825648874308 a^{2} - 3451719377275691296 a - 27709014383527172467\bigr] \)
242.3-b7	3.3.316.1	242.3	242.3-b	\( \bigl[1\) , \( a + 1\) , \( a^{2} - 2\) , \( -26140776857754976733142982 a^{2} + 13836746608257972575168441 a + 111075834644485451677761735\) , \( -176958717384573892178034799698113749293 a^{2} + 93667183109988451030481895839197063871 a + 751922459614203146023948231356362753108\bigr] \)