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
15.2-a1	\(\Q(\sqrt{21}) \)	15.2	15.2-a	\( \bigl[a\) , \( a - 1\) , \( 1\) , \( -379 a - 681\) , \( 5873 a + 10526\bigr] \)
15.2-b1	\(\Q(\sqrt{21}) \)	15.2	15.2-b	\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 5 a - 90\) , \( 8 a - 403\bigr] \)
45.1-a1	\(\Q(\sqrt{21}) \)	45.1	45.1-a	\( \bigl[1\) , \( a\) , \( 1\) , \( -224 a - 463\) , \( -3434 a - 5932\bigr] \)
45.1-b1	\(\Q(\sqrt{21}) \)	45.1	45.1-b	\( \bigl[a\) , \( a\) , \( 0\) , \( 302 a - 883\) , \( 4418 a - 12272\bigr] \)
1875.1-e1	\(\Q(\sqrt{21}) \)	1875.1	1875.1-e	\( \bigl[a + 1\) , \( -1\) , \( a\) , \( 126 a - 2252\) , \( 2615 a - 41999\bigr] \)
1875.1-bp1	\(\Q(\sqrt{21}) \)	1875.1	1875.1-bp	\( \bigl[a\) , \( 0\) , \( 1\) , \( -9481 a - 17090\) , \( 787207 a + 1410516\bigr] \)