Cremona's table of elliptic curves

66975 = 3 · 5² · 19 · 47

Class	r	Atkin-Lehner	Eigenvalues
66975a (1 curve)	1	3+ 5+ 19+ 47+	0 3+ 5+  3  3  2  2 19+
Curve Equation t Generators 66975a1 [0,-1,1,-883,9543] 1 [33:123:1]
66975b (4 curves)	0	3+ 5+ 19- 47+	1 3+ 5+  4  0 -6 -6 19-
Curve Equation t 66975b1 [1,1,0,-2400,-46125] 2 66975b2 [1,1,0,-3525,0] 4 66975b3 [1,1,0,14100,17625] 2 66975b4 [1,1,0,-39150,2956875] 2
66975c (1 curve)	2	3+ 5+ 19- 47+	-2 3+ 5+  0 -4 -3  3 19-
Curve Equation t Generators 66975c1 [0,-1,1,-38,-52] 1 [-4:4:1]&[-2:3:1]
66975d (2 curves)	1	3+ 5+ 19- 47-	0 3+ 5+  4  6  1  0 19-
Curve Equation t Generators 66975d1 [0,-1,1,-6463916883,200030719212668] 1 [1824968394:474557161:39304] 66975d2 [0,-1,1,-5102509383,286623490218293] 1 [54513:13056106:1]
66975e (2 curves)	0	3+ 5- 19+ 47+	1 3+ 5-  2  6  4 -6 19+
Curve Equation t 66975e1 [1,1,0,-29935,-1890800] 2 66975e2 [1,1,0,24740,-7959725] 2
66975f (1 curve)	0	3- 5+ 19+ 47+	-1 3- 5+  2  5  0 -3 19+
Curve Equation t 66975f1 [1,0,0,-438,-3633] 1
66975g (1 curve)	0	3- 5+ 19+ 47+	2 3- 5+ -1 -5  4  4 19+
Curve Equation t 66975g1 [0,1,1,-3308,34919] 1
66975h (1 curve)	1	3- 5+ 19+ 47-	-1 3- 5+  2  3  4  3 19+
Curve Equation t Generators 66975h1 [1,0,0,3537,-4611708] 1 [537:12069:1]
66975i (1 curve)	1	3- 5+ 19+ 47-	2 3- 5+ -1  1  0  0 19+
Curve Equation t Generators 66975i1 [0,1,1,-31408,2131969] 1 [826:167:8]
66975j (1 curve)	1	3- 5+ 19- 47+	-2 3- 5+ -1  3  0  0 19-
Curve Equation t Generators 66975j1 [0,1,1,-27058,-889706] 1 [-136:541:1]
66975k (2 curves)	0	3- 5+ 19- 47-	-1 3- 5+  2 -2 -4  2 19-
Curve Equation t 66975k1 [1,0,0,-305813,-98071008] 2 66975k2 [1,0,0,-5552188,-5034909883] 2
66975l (2 curves)	0	3- 5- 19+ 47-	-1 3- 5- -2  6 -4  6 19+
Curve Equation t 66975l1 [1,0,0,-748388,-234853233] 2 66975l2 [1,0,0,618487,-996202608] 2
66975m (1 curve)	1	3- 5- 19- 47-	2 3- 5-  0 -4  3 -3 19-
Curve Equation t Generators 66975m1 [0,1,1,-958,-8381] 1 [-86:221:8]

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

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