Cremona's table of elliptic curves

76850 = 2 · 5² · 29 · 53

Class	r	Atkin-Lehner	Eigenvalues
76850a (2 curves)	0	2+ 5+ 29+ 53-	2+  0 5+  2  4 -2 -2 -6
Curve Equation t 76850a1 [1,-1,0,-115942,-15166284] 2 76850a2 [1,-1,0,-113942,-15716284] 2
76850b (1 curve)	2	2+ 5+ 29+ 53-	2+ -1 5+  1 -1  4 -6 -6
Curve Equation t Generators 76850b1 [1,1,0,-125,2125] 1 [-10:55:1]&[-6:55:1]
76850c (2 curves)	0	2+ 5- 29+ 53+	2+ -2 5- -4  3  5  0 -4
Curve Equation t 76850c1 [1,0,1,-1088576,437064798] 3 76850c2 [1,0,1,-1077951,446017298] 1
76850d (1 curve)	0	2+ 5- 29- 53-	2+  2 5- -2  2  6  2  2
Curve Equation t 76850d1 [1,1,0,-574575,-171977875] 1
76850e (2 curves)	0	2- 5+ 29+ 53+	2-  0 5+ -2  0 -6  2  6
Curve Equation t 76850e1 [1,-1,1,-46737855,111135564647] 2 76850e2 [1,-1,1,60910145,547971148647] 2
76850f (1 curve)	1	2- 5+ 29+ 53-	2-  0 5+  0 -6 -1  7  5
Curve Equation t Generators 76850f1 [1,-1,1,245,-253] 1 [29:160:1]
76850g (2 curves)	1	2- 5+ 29+ 53-	2-  0 5+  2  6 -2 -2 -2
Curve Equation t Generators 76850g1 [1,-1,1,-178005,24301997] 2 [-417:5296:1] 76850g2 [1,-1,1,333995,137965997] 2 [279:15760:1]
76850h (1 curve)	1	2- 5+ 29+ 53-	2-  1 5+  3 -3  0  2 -2
Curve Equation t Generators 76850h1 [1,0,0,-89688,10332992] 1 [172:-136:1]
76850i (2 curves)	1	2- 5+ 29+ 53-	2-  2 5+  4  3 -5  0 -4
Curve Equation t Generators 76850i1 [1,1,1,-43543,3479101] 1 [109:152:1] 76850i2 [1,1,1,-43118,3550891] 1 [-79:2583:1]
76850j (1 curve)	1	2- 5+ 29- 53+	2-  0 5+  0 -2  5  3  7
Curve Equation t Generators 76850j1 [1,-1,1,-1436380,-662242503] 1 [8411326653666657903790809706674391971638794100988:151161833282061136617497876730815791532060229219195:5436900614895052455012033164109007337452321472]
76850k (1 curve)	1	2- 5+ 29- 53+	2-  0 5+  0  3  0  3  2
Curve Equation t Generators 76850k1 [1,-1,1,-880,17747] 1 [5:-119:1]
76850l (1 curve)	1	2- 5+ 29- 53+	2- -2 5+  2  2 -6 -2  2
Curve Equation t Generators 76850l1 [1,0,0,-22983,-1375823] 1 [6054:159895:8]

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