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
25.1-a5	\(\Q(\sqrt{21}) \)	25.1	25.1-a	\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 429 a - 1196\) , \( -7403 a + 20663\bigr] \)
25.1-b5	\(\Q(\sqrt{21}) \)	25.1	25.1-b	\( \bigl[a\) , \( a\) , \( a\) , \( -28 a - 137\) , \( -284 a - 786\bigr] \)
225.1-c5	\(\Q(\sqrt{21}) \)	225.1	225.1-c	\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -675 a - 1263\) , \( -15543 a - 27694\bigr] \)
225.1-d5	\(\Q(\sqrt{21}) \)	225.1	225.1-d	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 238 a - 803\) , \( 3696 a - 9674\bigr] \)
625.1-k5	\(\Q(\sqrt{21}) \)	625.1	625.1-k	\( \bigl[a\) , \( -1\) , \( a\) , \( -727 a - 3443\) , \( -25790 a - 84138\bigr] \)
625.1-l5	\(\Q(\sqrt{21}) \)	625.1	625.1-l	\( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( 10663 a - 30007\) , \( -910323 a + 2542391\bigr] \)