Cremona's table of elliptic curves

6975 = 3² · 5² · 31

Class	r	Atkin-Lehner	Eigenvalues
6975a (1 curve)	1	3+ 5+ 31+	0 3+ 5+  0  5  0 -5 -1
Curve Equation t Generators 6975a1 [0,0,1,-25650,1570826] 1 [84:94:1]
6975b (1 curve)	1	3+ 5+ 31+	0 3+ 5+  0 -5  0  5 -1
Curve Equation t Generators 6975b1 [0,0,1,-2850,-58179] 1 [-31:19:1]
6975c (1 curve)	0	3+ 5- 31+	0 3+ 5-  0  5  0  5 -1
Curve Equation t 6975c1 [0,0,1,-641250,196353281] 1
6975d (1 curve)	0	3+ 5- 31+	0 3+ 5-  0 -5  0 -5 -1
Curve Equation t 6975d1 [0,0,1,-71250,-7272344] 1
6975e (1 curve)	0	3- 5+ 31+	0 3- 5+  0  4  6  5 -1
Curve Equation t 6975e1 [0,0,1,-300,-2844] 1
6975f (1 curve)	0	3- 5+ 31+	-1 3- 5+ -2 -2  4 -3 -4
Curve Equation t 6975f1 [1,-1,1,75820,-27403428] 1
6975g (4 curves)	0	3- 5+ 31+	-1 3- 5+  4  4 -2 -6 -4
Curve Equation t 6975g1 [1,-1,1,-2255,41622] 4 6975g2 [1,-1,1,-3380,-3378] 4 6975g3 [1,-1,1,-38255,-2863128] 2 6975g4 [1,-1,1,13495,-37128] 2
6975h (1 curve)	1	3- 5+ 31-	0 3- 5+  0  3 -4 -7  3
Curve Equation t Generators 6975h1 [0,0,1,-30,-9] 1 [-1:4:1]
6975i (2 curves)	1	3- 5+ 31-	1 3- 5+  2  4  0  2 -8
Curve Equation t Generators 6975i1 [1,-1,0,-1692,-63909] 2 [1914:82743:1] 6975i2 [1,-1,0,-36567,-2679534] 2 [15342:660579:8]
6975j (1 curve)	1	3- 5+ 31-	-1 3- 5+  2  2  0  7 -8
Curve Equation t Generators 6975j1 [1,-1,1,-140,-628] 1 [18:40:1]
6975k (2 curves)	1	3- 5+ 31-	-1 3- 5+ -4 -4  0 -8  4
Curve Equation t Generators 6975k1 [1,-1,1,-230,4772] 2 [4:60:1] 6975k2 [1,-1,1,-5855,173522] 2 [4:385:1]
6975l (1 curve)	1	3- 5+ 31-	2 3- 5+ -4  5  6 -5 -5
Curve Equation t Generators 6975l1 [0,0,1,-571305,-69130629] 1 [-1118:22595:8]
6975m (2 curves)	1	3- 5+ 31-	-2 3- 5+  2 -2  6 -7 -5
Curve Equation t Generators 6975m1 [0,0,1,2175,-32094] 1 [15:62:1] 6975m2 [0,0,1,-189075,31704156] 1 [240:387:1]
6975n (1 curve)	1	3- 5+ 31-	-2 3- 5+ -4  1 -6 -1 -5
Curve Equation t Generators 6975n1 [0,0,1,-525,4626] 1 [11:13:1]
6975o (1 curve)	1	3- 5- 31+	1 3- 5-  2 -2 -4  3 -4
Curve Equation t Generators 6975o1 [1,-1,0,3033,-219834] 1 [54:288:1]
6975p (1 curve)	0	3- 5- 31-	0 3- 5-  0  3  4  7  3
Curve Equation t 6975p1 [0,0,1,-750,-1094] 1
6975q (1 curve)	0	3- 5- 31-	1 3- 5- -2  2  0 -7 -8
Curve Equation t 6975q1 [1,-1,0,-3492,-81959] 1
6975r (1 curve)	0	3- 5- 31-	2 3- 5-  4  1  6  1 -5
Curve Equation t 6975r1 [0,0,1,-13125,578281] 1
6975s (1 curve)	0	3- 5- 31-	-2 3- 5-  4  5 -6  5 -5
Curve Equation t 6975s1 [0,0,1,-14282625,-8641328594] 1

Data from Elliptic Curve Data by J. E. Cremona.
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