Cremona's table of elliptic curves

75933 = 3² · 11 · 13 · 59

Class	r	Atkin-Lehner	Eigenvalues
75933a (1 curve)	2	3- 11+ 13+ 59+	0 3-  1 -2 11+ 13+ -8  2
Curve Equation t Generators 75933a1 [0,0,1,-192,-761] 1 [-46:-103:8]&[-7:15:1]
75933b (1 curve)	0	3- 11+ 13+ 59+	-2 3-  0  3 11+ 13+  6 -8
Curve Equation t 75933b1 [0,0,1,-8265,-220032] 1
75933c (1 curve)	0	3- 11+ 13- 59-	2 3-  3 -4 11+ 13-  4 -2
Curve Equation t 75933c1 [0,0,1,-28011,-1574091] 1
75933d (1 curve)	2	3- 11+ 13- 59-	-2 3- -3  0 11+ 13- -2 -8
Curve Equation t Generators 75933d1 [0,0,1,-1523289,723606070] 1 [-764:-37967:1]&[-7646:289155:8]
75933e (4 curves)	1	3- 11- 13+ 59+	-1 3-  2  4 11- 13+ -2 -8
Curve Equation t Generators 75933e1 [1,-1,1,931,6900] 2 [5:105:1] 75933e2 [1,-1,1,-4514,63528] 4 [766:5283:8] 75933e3 [1,-1,1,-33719,-2331282] 2 [698866:6115425:2744] 75933e4 [1,-1,1,-62429,6017190] 2 [164390:337767:1000]
75933f (2 curves)	2	3- 11- 13+ 59-	-1 3- -2 -2 11- 13+  4 -6
Curve Equation t Generators 75933f1 [1,-1,1,-13811,609626] 2 [-54:1120:1]&[-354:8687:8] 75933f2 [1,-1,1,-219146,39541142] 2 [268:-63:1]&[54:5251:1]
75933g (1 curve)	0	3- 11- 13+ 59-	2 3-  4  1 11- 13+ -2  0
Curve Equation t 75933g1 [0,0,1,-543,-4869] 1
75933h (2 curves)	0	3- 11- 13- 59+	0 3-  3  2 11- 13-  6  8
Curve Equation t 75933h1 [0,0,1,-2075646,-1151006436] 1 75933h2 [0,0,1,-2537616,-601161777] 3
75933i (2 curves)	1	3- 11- 13- 59-	0 3-  0 -1 11- 13-  0 -4
Curve Equation t Generators 75933i1 [0,0,1,-1290,-17766] 1 [-174:9:8] 75933i2 [0,0,1,-7140,218925] 3 [-750:2025:8]
75933j (1 curve)	1	3- 11- 13- 59-	-2 3- -1  0 11- 13-  0  2
Curve Equation t Generators 75933j1 [0,0,1,-4523853,3701909160] 1 [1280:2920:1]

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

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