Cremona's table of elliptic curves

33165 = 3² · 5 · 11 · 67

Class	r	Atkin-Lehner	Eigenvalues
33165a (2 curves)	1	3+ 5+ 11+ 67+	1 3+ 5+  2 11+  0  6  4
Curve Equation t Generators 33165a1 [1,-1,0,-4470,109871] 2 [1018:31891:1] 33165a2 [1,-1,0,-13515,-467200] 2 [-330992:1410223:4096]
33165b (2 curves)	0	3+ 5+ 11+ 67-	-1 3+ 5+  2 11+  0 -2  8
Curve Equation t 33165b1 [1,-1,1,-61913,5932792] 2 33165b2 [1,-1,1,-990038,379410292] 2
33165c (2 curves)	0	3+ 5+ 11- 67+	1 3+ 5+  4 11-  0  2 -4
Curve Equation t 33165c1 [1,-1,0,-4605,121400] 2 33165c2 [1,-1,0,-5280,84005] 2
33165d (2 curves)	2	3+ 5+ 11- 67+	-1 3+ 5+ -2 11-  4 -6  0
Curve Equation t Generators 33165d1 [1,-1,1,-758,3052] 2 [38:148:1]&[-4:79:1] 33165d2 [1,-1,1,-9803,375706] 2 [-110:392:1]&[-10:692:1]
33165e (2 curves)	1	3+ 5+ 11- 67-	-1 3+ 5+  0 11-  2  0 -4
Curve Equation t Generators 33165e1 [1,-1,1,-15773,-635828] 2 [250:3191:1] 33165e2 [1,-1,1,29602,-3648728] 2 [547:12992:1]
33165f (2 curves)	0	3+ 5- 11+ 67+	1 3+ 5- -2 11+  4  6  0
Curve Equation t 33165f1 [1,-1,0,-84,-85] 2 33165f2 [1,-1,0,-1089,-13552] 2
33165g (2 curves)	0	3+ 5- 11+ 67+	-1 3+ 5-  4 11+  0 -2 -4
Curve Equation t 33165g1 [1,-1,1,-512,-4326] 2 33165g2 [1,-1,1,-587,-2916] 2
33165h (2 curves)	1	3+ 5- 11+ 67-	1 3+ 5-  0 11+  2  0 -4
Curve Equation t Generators 33165h1 [1,-1,0,-141954,17309303] 2 [122:1279:1] 33165h2 [1,-1,0,266421,98249228] 2 [33646:2182787:8]
33165i (2 curves)	1	3+ 5- 11- 67+	-1 3+ 5-  2 11-  0 -6  4
Curve Equation t Generators 33165i1 [1,-1,1,-497,-3904] 2 [-14:19:1] 33165i2 [1,-1,1,-1502,17804] 2 [-38:156:1]
33165j (2 curves)	0	3+ 5- 11- 67-	1 3+ 5-  2 11-  0  2  8
Curve Equation t 33165j1 [1,-1,0,-6879,-217440] 2 33165j2 [1,-1,0,-110004,-14015565] 2
33165k (4 curves)	0	3- 5+ 11+ 67+	1 3- 5+  4 11+ -6 -6  4
Curve Equation t 33165k1 [1,-1,0,-1305,-14000] 2 33165k2 [1,-1,0,-6750,202711] 4 33165k3 [1,-1,0,5625,853636] 2 33165k4 [1,-1,0,-106245,13355950] 2
33165l (4 curves)	1	3- 5+ 11- 67+	1 3- 5+  0 11-  2  2  4
Curve Equation t Generators 33165l1 [1,-1,0,-4635,-120200] 2 [67720:607165:512] 33165l2 [1,-1,0,-5760,-56525] 4 [-54:335:1] 33165l3 [1,-1,0,21465,-454010] 2 [558:9115:8] 33165l4 [1,-1,0,-50985,4402660] 2 [-192:2758:1]
33165m (2 curves)	1	3- 5+ 11- 67+	-1 3- 5+  2 11- -2 -2 -4
Curve Equation t Generators 33165m1 [1,-1,1,-203,506] 2 [18:40:1] 33165m2 [1,-1,1,-2678,53966] 2 [33:10:1]
33165n (2 curves)	1	3- 5- 11+ 67+	-1 3- 5- -2 11+  0  4  8
Curve Equation t Generators 33165n1 [1,-1,1,-8447,300894] 2 [42:116:1] 33165n2 [1,-1,1,-7952,337326] 2 [-4:609:1]
33165o (1 curve)	1	3- 5- 11+ 67+	2 3- 5-  4 11+ -6 -5  5
Curve Equation t Generators 33165o1 [0,0,1,1315023,8371425577] 1 [170186678150:-12652123590877:34645976]
33165p (1 curve)	0	3- 5- 11- 67+	2 3- 5- -4 11- -6  3  1
Curve Equation t 33165p1 [0,0,1,-3837,-92835] 1
33165q (2 curves)	1	3- 5- 11- 67-	1 3- 5- -2 11-  6  6 -4
Curve Equation t Generators 33165q1 [1,-1,0,-504,-2997] 2 [-114:327:8] 33165q2 [1,-1,0,-2979,60858] 2 [942:8763:8]
33165r (1 curve)	1	3- 5- 11- 67-	-2 3- 5- -2 11- -6 -3 -1
Curve Equation t Generators 33165r1 [0,0,1,175533,-93090870] 1 [938:-29948:1]

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