Cremona's table of elliptic curves

27869 = 29 · 31²

Class	r	Atkin-Lehner	Eigenvalues
27869a (1 curve)	1	29+ 31+	1 -3 -1 -1 -1  7 -3  5
Curve Equation t Generators 27869a1 [1,-1,0,-24205,669832] 1 [28:102:1]
27869b (1 curve)	2	29+ 31-	-1 -1 -1 -1 -3  1  3  1
Curve Equation t Generators 27869b1 [1,1,1,-51,112] 1 [-50:143:8]&[-2:15:1]
27869c (1 curve)	0	29+ 31-	2 -1  2  5  3 -2  3 -2
Curve Equation t 27869c1 [0,-1,1,-2242,-58559] 1
27869d (1 curve)	0	29+ 31-	-2 -3  2  1 -3  6 -3  0
Curve Equation t 27869d1 [0,0,1,-1519,-22824] 1
27869e (1 curve)	0	29- 31+	-1  1 -1 -1  3 -1 -3  1
Curve Equation t 27869e1 [1,0,0,-49031,-3979288] 1
27869f (1 curve)	1	29- 31-	1  2  1  2  0 -2  3 -5
Curve Equation t Generators 27869f1 [1,1,0,-2422,15093] 1 [-462:30983:216]
27869g (1 curve)	1	29- 31-	1  3 -1 -1  1 -7  3  5
Curve Equation t Generators 27869g1 [1,-1,0,-25,-16] 1 [-96:164:27]
27869h (1 curve)	1	29- 31-	-2  3  2  1  3 -6  3  0
Curve Equation t Generators 27869h1 [0,0,1,-1459759,679942336] 1 [1118604:4318831:1728]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations