Cremona's table of elliptic curves

109040 = 2⁴ · 5 · 29 · 47

Class	r	Atkin-Lehner	Eigenvalues
109040a (1 curve)	2	2+ 5+ 29- 47+	2+ -2 5+  1  3 -2 -2  4
Curve Equation t Generators 109040a1 [0,1,0,-317816,68856484] 1 [-630:4408:1]&[264:1850:1]
109040b (1 curve)	1	2+ 5+ 29- 47-	2+  1 5+ -1  3  3 -4  3
Curve Equation t Generators 109040b1 [0,1,0,-73096,818980] 1 [-201:2726:1]
109040c (1 curve)	1	2+ 5- 29+ 47-	2+ -3 5-  3 -3 -3  4  5
Curve Equation t Generators 109040c1 [0,0,0,-307,1954] 1 [-5:58:1]
109040d (1 curve)	0	2- 5+ 29+ 47+	2-  2 5+ -1 -3  4  4  4
Curve Equation t 109040d1 [0,-1,0,-881,11300] 1
109040e (1 curve)	0	2- 5+ 29+ 47+	2- -3 5+ -1 -3 -1 -2 -7
Curve Equation t 109040e1 [0,0,0,-4016923,-3089973878] 1
109040f (1 curve)	1	2- 5+ 29+ 47-	2-  0 5+ -4  0 -1  4  2
Curve Equation t Generators 109040f1 [0,0,0,-957968,-360893392] 1 [23886214:997660117:10648]
109040g (1 curve)	1	2- 5+ 29- 47+	2-  0 5+  3  5  4 -6 -4
Curve Equation t Generators 109040g1 [0,0,0,1597,-103998] 1 [161:2080:1]
109040h (1 curve)	1	2- 5+ 29- 47+	2-  1 5+  1 -3 -3  0  1
Curve Equation t Generators 109040h1 [0,1,0,-3496,-6476] 1 [60:58:1]
109040i (1 curve)	1	2- 5+ 29- 47+	2- -2 5+ -2  0  0  3 -2
Curve Equation t Generators 109040i1 [0,1,0,-134616,-19069676] 1 [1183287:1287168202:1]
109040j (1 curve)	0	2- 5+ 29- 47-	2-  1 5+ -3 -1  5  6  7
Curve Equation t 109040j1 [0,1,0,-168401016,-841190108716] 1
109040k (2 curves)	2	2- 5+ 29- 47-	2-  2 5+ -2  0 -4 -3 -2
Curve Equation t Generators 109040k1 [0,-1,0,224,20736] 1 [0:144:1]&[18:174:1] 109040k2 [0,-1,0,-50816,4426880] 1 [2712:15416:27]&[130:30:1]
109040l (1 curve)	2	2- 5+ 29- 47-	2- -3 5+ -3 -1  1  6 -1
Curve Equation t Generators 109040l1 [0,0,0,-33043,-2070062] 1 [263:-2726:1]&[-114:464:1]
109040m (2 curves)	1	2- 5- 29+ 47+	2- -1 5-  1  3  5  0 -5
Curve Equation t Generators 109040m1 [0,-1,0,-73335240,-180415696400] 1 [-3270:156250:1] 109040m2 [0,-1,0,-2059085240,35951623903600] 1 [24930:334850:1]
109040n (1 curve)	1	2- 5- 29+ 47+	2- -2 5-  3  1 -4  0  4
Curve Equation t Generators 109040n1 [0,1,0,4375,-98102] 1 [86:960:1]
109040o (1 curve)	2	2- 5- 29+ 47-	2-  0 5- -1  3  0 -6 -4
Curve Equation t Generators 109040o1 [0,0,0,49573,-3776246] 1 [303:-6250:1]&[93:1280:1]
109040p (1 curve)	2	2- 5- 29+ 47-	2- -2 5-  1 -3 -6 -6  4
Curve Equation t Generators 109040p1 [0,1,0,-1280,18100] 1 [10:-80:1]&[-6:160:1]
109040q (1 curve)	2	2- 5- 29- 47+	2-  0 5-  4 -6 -4 -3 -8
Curve Equation t Generators 109040q1 [0,0,0,-827,-17046] 1 [38:80:1]&[45:192:1]
109040r (1 curve)	2	2- 5- 29- 47+	2-  0 5- -5 -3 -4 -6  4
Curve Equation t Generators 109040r1 [0,0,0,-10867787,13859363066] 1 [-923:152000:1]&[4567:-243890:1]
109040s (1 curve)	2	2- 5- 29- 47+	2- -1 5- -5 -5 -1 -2 -5
Curve Equation t Generators 109040s1 [0,-1,0,-5280,149440] 1 [-38:542:1]&[37:58:1]
109040t (1 curve)	1	2- 5- 29- 47-	2-  1 5-  3  5 -7 -4  5
Curve Equation t Generators 109040t1 [0,1,0,-9520,-233132] 1 [156:1450:1]

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

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