Cremona's table of elliptic curves

84175 = 5² · 7 · 13 · 37

Class	r	Atkin-Lehner	Eigenvalues
84175a (3 curves)	1	5+ 7+ 13+ 37+	0 -1 5+ 7+  0 13+  0  2
Curve Equation t Generators 84175a1 [0,-1,1,3117,482043] 1 [-3:687:1] 84175a2 [0,-1,1,-28133,-13252332] 1 [76872:21313187:1] 84175a3 [0,-1,1,-5208133,-4573109207] 1 [274778142016971493:-76156723529528475597:3573857582569]
84175b (2 curves)	0	5+ 7+ 13- 37+	-1 -2 5+ 7+  0 13-  2  0
Curve Equation t 84175b1 [1,0,0,-423213,-72928208] 2 84175b2 [1,0,0,1163162,-490144833] 2
84175c (1 curve)	0	5+ 7+ 13- 37+	2  1 5+ 7+ -6 13-  2 -6
Curve Equation t 84175c1 [0,1,1,-77708,4684369] 1
84175d (2 curves)	1	5+ 7- 13+ 37-	-1 -2 5+ 7- -2 13+  2  6
Curve Equation t Generators 84175d1 [1,0,0,-45938,3784867] 2 [147:-536:1] 84175d2 [1,0,0,-39813,4832242] 2 [357:-6191:1]
84175e (1 curve)	1	5+ 7- 13- 37+	-2  1 5+ 7-  0 13- -6  0
Curve Equation t Generators 84175e1 [0,1,1,-1008,13144] 1 [28:87:1]
84175f (1 curve)	1	5+ 7- 13- 37+	-2  1 5+ 7- -6 13- -6  6
Curve Equation t Generators 84175f1 [0,1,1,-14870198,-21694301246] 1 [-2443:7689:1]
84175g (2 curves)	0	5+ 7- 13- 37-	1  0 5+ 7-  6 13- -2  2
Curve Equation t 84175g1 [1,-1,0,-2192,-36909] 2 84175g2 [1,-1,0,-34567,-2465034] 2
84175h (4 curves)	0	5+ 7- 13- 37-	-1  0 5+ 7-  4 13- -6  0
Curve Equation t 84175h1 [1,-1,1,-6130,158872] 4 84175h2 [1,-1,1,-27255,-1573378] 4 84175h3 [1,-1,1,32870,-7585878] 2 84175h4 [1,-1,1,-425380,-106678378] 2
84175i (2 curves)	0	5- 7+ 13+ 37+	1  2 5- 7+  4 13+ -6  2
Curve Equation t 84175i1 [1,1,0,-210,-1225] 2 84175i2 [1,1,0,-535,3000] 2
84175j (1 curve)	1	5- 7+ 13+ 37-	2 -1 5- 7+ -6 13+  6  6
Curve Equation t Generators 84175j1 [0,-1,1,-371754958,-2711044145807] 1 [-277786814520486598620310304120035545872:2027812388061876015258878434169680556583:22758702955705077831301364644704256]
84175k (1 curve)	2	5- 7- 13+ 37-	-2 -1 5- 7- -6 13+ -2 -6
Curve Equation t Generators 84175k1 [0,-1,1,-3108,38718] 1 [87:647:1]&[-214:2551:8]
84175l (2 curves)	1	5- 7- 13- 37-	-1 -2 5- 7-  4 13-  6  2
Curve Equation t Generators 84175l1 [1,0,0,-5263,-142608] 2 [-47:62:1] 84175l2 [1,0,0,-13388,401767] 2 [-123:499:1]

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