Cremona's table of elliptic curves

54315 = 3² · 5 · 17 · 71

Class	r	Atkin-Lehner	Eigenvalues
54315a (2 curves)	1	3- 5+ 17+ 71-	-1 3- 5+  4 -4  4 17+ -4
Curve Equation t Generators 54315a1 [1,-1,1,2722,-44044] 2 [63:580:1] 54315a2 [1,-1,1,-14153,-388294] 2 [-802:1391:8]
54315b (1 curve)	1	3- 5+ 17- 71+	0 3- 5+  2  1 -3 17-  1
Curve Equation t Generators 54315b1 [0,0,1,-228,1359] 1 [11:13:1]
54315c (2 curves)	1	3- 5+ 17- 71+	0 3- 5+  5 -6 -1 17- -1
Curve Equation t Generators 54315c1 [0,0,1,194082,-59276502] 1 [1484:59134:1] 54315c2 [0,0,1,-1818768,2008121733] 3 [722931776:35136892831:262144]
54315d (2 curves)	2	3- 5+ 17- 71-	0 3- 5+ -4 -3 -1 17- -7
Curve Equation t Generators 54315d1 [0,0,1,402,-13266] 1 [26:121:1]&[38:238:1] 54315d2 [0,0,1,-3648,375129] 3 [-686:1913:8]&[-19:661:1]
54315e (1 curve)	0	3- 5+ 17- 71-	2 3- 5+ -1  0 -5 17- -5
Curve Equation t 54315e1 [0,0,1,-1353,-36617] 1
54315f (1 curve)	0	3- 5+ 17- 71-	2 3- 5+ -3  0  5 17-  3
Curve Equation t 54315f1 [0,0,1,-162543,-25572627] 1
54315g (1 curve)	2	3- 5+ 17- 71-	-2 3- 5+ -2 -1  1 17-  1
Curve Equation t Generators 54315g1 [0,0,1,177,58] 1 [2:77:8]&[7:-41:1]
54315h (1 curve)	1	3- 5- 17+ 71+	0 3- 5- -2 -3 -1 17+  1
Curve Equation t Generators 54315h1 [0,0,1,-35202,-3982298] 1 [922:27337:1]
54315i (1 curve)	0	3- 5- 17+ 71-	2 3- 5- -2 -1  7 17+ -7
Curve Equation t 54315i1 [0,0,1,-60177,13107285] 1
54315j (1 curve)	0	3- 5- 17- 71+	-2 3- 5-  2  5  1 17-  1
Curve Equation t 54315j1 [0,0,1,-45057,-3683840] 1
54315k (1 curve)	1	3- 5- 17- 71-	0 3- 5-  3 -2 -1 17- -5
Curve Equation t Generators 54315k1 [0,0,1,7368,2327800] 1 [88:-1913:1]

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