Cremona's table of elliptic curves

55550 = 2 · 5² · 11 · 101

Class	r	Atkin-Lehner	Eigenvalues
55550a (1 curve)	1	2+ 5+ 11+ 101+	2+  0 5+  2 11+  1  0  8
Curve Equation t Generators 55550a1 [1,-1,0,-92,-294] 1 [-50:47:8]
55550b (1 curve)	1	2+ 5+ 11+ 101+	2+ -1 5+ -1 11+  0  7 -3
Curve Equation t Generators 55550b1 [1,1,0,316375,-14682875] 1 [719:23830:1]
55550c (2 curves)	1	2+ 5+ 11+ 101+	2+  2 5+  1 11+  4 -3  5
Curve Equation t Generators 55550c1 [1,1,0,-146325,21483125] 1 [5925:-2275:27] 55550c2 [1,1,0,-140575,23256375] 1 [105555:6519035:27]
55550d (1 curve)	1	2+ 5+ 11+ 101+	2+  3 5+ -1 11+  4 -3 -1
Curve Equation t Generators 55550d1 [1,-1,0,-649792,-247312384] 1 [266826020058643062:6897340189607964419:201250660463208]
55550e (1 curve)	0	2+ 5+ 11- 101+	2+  2 5+  1 11- -4  1 -7
Curve Equation t 55550e1 [1,1,0,50,-7500] 1
55550f (2 curves)	1	2+ 5+ 11- 101-	2+  1 5+  2 11-  1  2  0
Curve Equation t Generators 55550f1 [1,0,1,-196626,35450148] 1 [192:2091:1] 55550f2 [1,0,1,513374,-2208509852] 1 [2192:96116:1]
55550g (1 curve)	1	2+ 5+ 11- 101-	2+ -2 5+ -4 11-  1  2  0
Curve Equation t Generators 55550g1 [1,0,1,-8731,307398] 1 [46:37:1]
55550h (1 curve)	1	2+ 5+ 11- 101-	2+ -3 5+  3 11- -4 -3  5
Curve Equation t Generators 55550h1 [1,-1,0,2933,-18659] 1 [339:6143:1]
55550i (1 curve)	0	2+ 5- 11+ 101+	2+ -3 5- -2 11+  3  2 -4
Curve Equation t 55550i1 [1,-1,0,-61312,-5832704] 1
55550j (1 curve)	1	2+ 5- 11+ 101-	2+  2 5- -4 11+ -1  2  0
Curve Equation t Generators 55550j1 [1,1,0,-50,-100] 1 [-5:10:1]
55550k (1 curve)	1	2+ 5- 11- 101+	2+  1 5-  0 11-  5  2 -6
Curve Equation t Generators 55550k1 [1,0,1,-11701,496048] 1 [2:686:1]
55550l (1 curve)	1	2+ 5- 11- 101+	2+  1 5-  3 11-  2  5 -3
Curve Equation t Generators 55550l1 [1,0,1,56759,45634828] 1 [-304:707:1]
55550m (2 curves)	0	2- 5+ 11+ 101+	2-  2 5+ -4 11+  4 -4 -8
Curve Equation t 55550m1 [1,1,1,412,-2219] 2 55550m2 [1,1,1,-2088,-22219] 2
55550n (1 curve)	1	2- 5+ 11+ 101-	2-  1 5+  4 11+ -5 -2  6
Curve Equation t Generators 55550n1 [1,0,0,-64088,-56382208] 1 [11006:1148814:1]
55550o (1 curve)	1	2- 5+ 11+ 101-	2- -1 5+ -1 11+  2 -7 -5
Curve Equation t Generators 55550o1 [1,1,1,-563,32031] 1 [590:4751:8]
55550p (1 curve)	1	2- 5+ 11+ 101-	2- -1 5+ -4 11+  5  2 -2
Curve Equation t Generators 55550p1 [1,1,1,11912,-204219] 1 [41:575:1]
55550q (1 curve)	1	2- 5+ 11+ 101-	2- -2 5+  4 11+  1 -2  0
Curve Equation t Generators 55550q1 [1,0,0,-1263,-9983] 1 [-12:65:1]
55550r (1 curve)	0	2- 5+ 11- 101-	2-  3 5+ -3 11- -4 -3 -1
Curve Equation t 55550r1 [1,-1,1,-292980,-61101353] 1
55550s (1 curve)	2	2- 5+ 11- 101-	2- -3 5+ -2 11-  1  2 -4
Curve Equation t Generators 55550s1 [1,-1,1,270,6897] 1 [9:-105:1]&[-7:71:1]
55550t (1 curve)	1	2- 5- 11+ 101+	2-  0 5- -2 11+ -1  0  8
Curve Equation t Generators 55550t1 [1,-1,1,-2305,-39053] 1 [-5658770:12977157:195112]
55550u (1 curve)	1	2- 5- 11+ 101+	2-  3 5-  2 11+ -3 -2 -4
Curve Equation t Generators 55550u1 [1,-1,1,-1532805,-730620803] 1 [42375:707132:27]
55550v (1 curve)	2	2- 5- 11- 101+	2- -1 5-  0 11- -5 -2 -6
Curve Equation t Generators 55550v1 [1,1,1,-468,3781] 1 [-25:37:1]&[11:-17:1]
55550w (1 curve)	2	2- 5- 11- 101+	2- -1 5- -3 11- -2 -5 -3
Curve Equation t Generators 55550w1 [1,1,1,1418987,5704353531] 1 [-1465:22732:1]&[-409:71308:1]
55550x (1 curve)	1	2- 5- 11- 101-	2-  2 5-  4 11- -1 -2  0
Curve Equation t Generators 55550x1 [1,1,1,-218263,38424781] 1 [109:3938:1]

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