Cremona's table of elliptic curves

60333 = 3 · 7 · 13² · 17

Class	r	Atkin-Lehner	Eigenvalues
60333a (1 curve)	0	3+ 7+ 13+ 17-	0 3+ -1 7+  5 13+ 17-  5
Curve Equation t 60333a1 [0,-1,1,-901,-38127] 1
60333b (1 curve)	0	3+ 7+ 13+ 17-	2 3+ -1 7+  4 13+ 17-  1
Curve Equation t 60333b1 [0,-1,1,358224,706533635] 1
60333c (1 curve)	1	3+ 7- 13+ 17-	0 3+ -1 7- -3 13+ 17- -3
Curve Equation t Generators 60333c1 [0,-1,1,602429,162602403] 1 [-3:12680:1]
60333d (6 curves)	1	3+ 7- 13+ 17-	1 3+  2 7-  4 13+ 17-  4
Curve Equation t Generators 60333d1 [1,1,0,-277839,56253072] 2 [28405160:-304780197:64000] 60333d2 [1,1,0,-278684,55892595] 4 [-1474:81147:8] 60333d3 [1,1,0,-47999,145905882] 2 [-53708806:-7746722507:636056] 60333d4 [1,1,0,-522889,-57174320] 4 [-2973190:-85772875:10648] 60333d5 [1,1,0,1904796,-435407643] 2 [11172:550255:27] 60333d6 [1,1,0,-6857854,-6910339457] 2 [-81842778210974:107121085005577:55132330616]
60333e (4 curves)	1	3+ 7- 13+ 17-	1 3+ -2 7- -4 13+ 17- -4
Curve Equation t Generators 60333e1 [1,1,0,-17241,-717504] 2 [-482:2859:8] 60333e2 [1,1,0,-261446,-51560985] 4 [91434:5211535:27] 60333e3 [1,1,0,-247081,-57459254] 2 [17490:191182:27] 60333e4 [1,1,0,-4183091,-3294761400] 2 [8433794292:398700688379:2299968]
60333f (1 curve)	1	3+ 7- 13+ 17-	-2 3+  1 7- -4 13+ 17- -1
Curve Equation t Generators 60333f1 [0,-1,1,60539800,1552496555924] 1 [-6677:922253:1]
60333g (1 curve)	1	3+ 7- 13+ 17-	-2 3+ -1 7- -2 13+ 17-  7
Curve Equation t Generators 60333g1 [0,-1,1,-3844806,4201431158] 1 [13227:1505749:1]
60333h (2 curves)	2	3- 7+ 13+ 17+	0 3- -3 7+  0 13+ 17+ -5
Curve Equation t Generators 60333h1 [0,1,1,-407,3917] 1 [13:31:1]&[-5:76:1] 60333h2 [0,1,1,3103,-39958] 1 [52:-515:1]&[18:148:1]
60333i (1 curve)	0	3- 7+ 13+ 17+	2 3-  3 7+  3 13+ 17+  7
Curve Equation t 60333i1 [0,1,1,-7154,270755] 1
60333j (1 curve)	0	3- 7+ 13+ 17+	2 3- -3 7+  6 13+ 17+  1
Curve Equation t 60333j1 [0,1,1,-2422,-670913] 1
60333k (1 curve)	1	3- 7+ 13+ 17-	1 3-  1 7+  1 13+ 17-  0
Curve Equation t Generators 60333k1 [1,0,1,-43,-115] 1 [1626:-389:216]
60333l (2 curves)	1	3- 7+ 13+ 17-	1 3-  4 7+  4 13+ 17-  0
Curve Equation t Generators 60333l1 [1,0,1,-76899,8197009] 2 [406:16623:8] 60333l2 [1,0,1,-62534,11357309] 2 [417:7396:1]
60333m (2 curves)	1	3- 7- 13+ 17+	0 3-  3 7-  0 13+ 17+  5
Curve Equation t Generators 60333m1 [0,1,1,-68839,8881474] 3 [2138:24839:8] 60333m2 [0,1,1,524351,-89884661] 1 [2591:136636:1]
60333n (2 curves)	1	3- 7- 13+ 17+	-1 3-  0 7- -4 13+ 17+  8
Curve Equation t Generators 60333n1 [1,0,0,-7693,243320] 2 [23:269:1] 60333n2 [1,0,0,6672,1050633] 2 [-51:786:1]
60333o (1 curve)	1	3- 7- 13+ 17+	-2 3- -1 7- -1 13+ 17+ -1
Curve Equation t Generators 60333o1 [0,1,1,3324,-50176] 1 [68:703:1]
60333p (1 curve)	0	3- 7- 13+ 17-	-1 3- -1 7- -1 13+ 17-  0
Curve Equation t 60333p1 [1,0,0,-7186,-244921] 1
60333q (1 curve)	0	3- 7- 13+ 17-	-2 3-  3 7- -2 13+ 17- -1
Curve Equation t 60333q1 [0,1,1,-492184,-133069400] 1

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