Cremona's table of elliptic curves

975 = 3 · 5² · 13

Class	r	Atkin-Lehner	Eigenvalues
975a (8 curves)	1	3+ 5+ 13+	1 3+ 5+  0  4 13+ -2 -4
Curve Equation t Generators 975a1 [1,1,0,-2750,54375] 2 [26:23:1] 975a2 [1,1,0,-2875,49000] 4 [-60:130:1] 975a3 [1,1,0,-13000,-528125] 4 [-642:959:8] 975a4 [1,1,0,5250,284625] 2 [52158:4186083:8] 975a5 [1,1,0,-203125,-35321000] 4 [141058840:1946156680:226981] 975a6 [1,1,0,15125,-2468750] 2 [250:4000:1] 975a7 [1,1,0,-3250000,-2256492875] 2 [128147947614060:-10062271140830255:19335149504] 975a8 [1,1,0,-198250,-37090625] 2 [27473285804622:-407710071627253:44286716872]
975b (1 curve)	1	3+ 5+ 13+	-2 3+ 5+  3 -5 13+ -5  2
Curve Equation t Generators 975b1 [0,-1,1,-8,-82] 1 [7:12:1]
975c (1 curve)	0	3+ 5+ 13-	1 3+ 5+  1 -1 13-  7  0
Curve Equation t 975c1 [1,1,0,300,14625] 1
975d (1 curve)	0	3+ 5+ 13-	-2 3+ 5+  1  5 13-  7 -6
Curve Equation t 975d1 [0,-1,1,-1658,-40282] 1
975e (1 curve)	0	3+ 5- 13+	-1 3+ 5-  3 -1 13+  5 -8
Curve Equation t 975e1 [1,1,1,-1138,-15844] 1
975f (1 curve)	1	3+ 5- 13-	0 3+ 5-  1 -1 13-  1 -4
Curve Equation t Generators 975f1 [0,-1,1,-83,3818] 1 [-8:62:1]
975g (4 curves)	0	3- 5+ 13+	-1 3- 5+  4  4 13+ -2  0
Curve Equation t 975g1 [1,0,0,12,-33] 2 975g2 [1,0,0,-113,-408] 4 975g3 [1,0,0,-1738,-28033] 2 975g4 [1,0,0,-488,3717] 2
975h (1 curve)	1	3- 5+ 13-	1 3- 5+ -3 -1 13- -5 -8
Curve Equation t Generators 975h1 [1,0,1,-46,-127] 1 [13:32:1]
975i (1 curve)	1	3- 5+ 13-	-2 3- 5+ -3 -1 13-  1 -2
Curve Equation t Generators 975i1 [0,1,1,-4758,128144] 1 [273:-4388:1]
975j (1 curve)	1	3- 5- 13+	0 3- 5- -1 -1 13+ -1 -4
Curve Equation t Generators 975j1 [0,1,1,-3,29] 1 [3:7:1]
975k (1 curve)	1	3- 5- 13+	-1 3- 5- -1 -1 13+ -7  0
Curve Equation t Generators 975k1 [1,0,0,12,117] 1 [-3:9:1]

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

Part of Computational Number Theory
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