Cremona's table of elliptic curves

27550 = 2 · 5² · 19 · 29

Class	r	Atkin-Lehner	Eigenvalues
27550a (1 curve)	1	2+ 5+ 19+ 29+	2+  0 5+ -4 -6  0  2 19+
Curve Equation t Generators 27550a1 [1,-1,0,26758,6388916] 1 [535:12909:1]
27550b (2 curves)	1	2+ 5+ 19+ 29+	2+  1 5+ -3 -3  6 -3 19+
Curve Equation t Generators 27550b1 [1,0,1,-1343126,540340648] 1 [6519:406327:27] 27550b2 [1,0,1,-189783126,-1006331819352] 1 [-1472432379:682989493:185193]
27550c (1 curve)	1	2+ 5+ 19+ 29+	2+ -2 5+  3  3 -6  0 19+
Curve Equation t Generators 27550c1 [1,0,1,-211,1158] 1 [8:-3:1]
27550d (1 curve)	0	2+ 5+ 19+ 29-	2+  1 5+  0  3  5  4 19+
Curve Equation t 27550d1 [1,0,1,-9026,364948] 1
27550e (1 curve)	0	2+ 5+ 19+ 29-	2+  1 5+  0 -4 -2 -3 19+
Curve Equation t 27550e1 [1,0,1,-55126,-4986602] 1
27550f (1 curve)	0	2+ 5+ 19+ 29-	2+  1 5+  4 -5  1  4 19+
Curve Equation t 27550f1 [1,0,1,-702851,-986966402] 1
27550g (1 curve)	0	2+ 5+ 19+ 29-	2+  1 5+ -5  1 -2  7 19+
Curve Equation t 27550g1 [1,0,1,-23446876,30529095898] 1
27550h (2 curves)	2	2+ 5+ 19- 29+	2+ -1 5+  1 -3 -2 -3 19-
Curve Equation t Generators 27550h1 [1,1,0,-2525,8125] 1 [-46:195:1]&[-25:250:1] 27550h2 [1,1,0,-126025,-17272375] 1 [-206:105:1]&[-205:115:1]
27550i (2 curves)	1	2+ 5+ 19- 29-	2+ -1 5+ -2 -3  1 -6 19-
Curve Equation t Generators 27550i1 [1,1,0,-12350,-1263500] 1 [684:17290:1] 27550i2 [1,1,0,-1346350,-601853500] 1 [1384:13026:1]
27550j (1 curve)	1	2+ 5+ 19- 29-	2+ -2 5+ -1 -3 -2  4 19-
Curve Equation t Generators 27550j1 [1,0,1,924,-16702] 1 [18:67:1]
27550k (1 curve)	1	2+ 5+ 19- 29-	2+ -3 5+ -4 -4 -2 -3 19-
Curve Equation t Generators 27550k1 [1,-1,0,-15067,-1473659] 1 [449:8838:1]
27550l (1 curve)	0	2+ 5- 19+ 29+	2+  3 5- -3  5 -2  7 19+
Curve Equation t 27550l1 [1,-1,0,-11242,460916] 1
27550m (1 curve)	0	2+ 5- 19+ 29+	2+ -3 5-  0 -4  4  1 19+
Curve Equation t 27550m1 [1,-1,0,89348,9387856] 1
27550n (1 curve)	1	2+ 5- 19+ 29-	2+  0 5- -3  1 -2  6 19+
Curve Equation t Generators 27550n1 [1,-1,0,-617,-19709] 1 [69:478:1]
27550o (1 curve)	1	2+ 5- 19+ 29-	2+  1 5- -4 -4 -4  3 19+
Curve Equation t Generators 27550o1 [1,0,1,-16,28] 1 [2:-4:1]
27550p (2 curves)	1	2+ 5- 19- 29+	2+  0 5- -2  4 -2  0 19-
Curve Equation t Generators 27550p1 [1,-1,0,1238,-5004] 2 [9:78:1] 27550p2 [1,-1,0,-5162,-37004] 2 [-12:158:1]
27550q (2 curves)	0	2- 5+ 19+ 29+	2-  0 5+  0  0 -4 -8 19+
Curve Equation t 27550q1 [1,-1,1,-16380,-850753] 2 27550q2 [1,-1,1,-266380,-52850753] 2
27550r (1 curve)	0	2- 5+ 19+ 29+	2-  3 5+  3 -3  2  7 19+
Curve Equation t 27550r1 [1,-1,1,-480,2647] 1
27550s (1 curve)	0	2- 5+ 19+ 29+	2-  3 5+ -4 -4 -6  1 19+
Curve Equation t 27550s1 [1,-1,1,-54855,-11916353] 1
27550t (1 curve)	1	2- 5+ 19+ 29-	2-  0 5+  3  1  2 -6 19+
Curve Equation t Generators 27550t1 [1,-1,1,-25,-153] 1 [236064:-56105:32768]
27550u (1 curve)	1	2- 5+ 19+ 29-	2-  1 5+  1 -5 -2  7 19+
Curve Equation t Generators 27550u1 [1,0,0,-157713,21629417] 1 [142:1379:1]
27550v (1 curve)	1	2- 5+ 19+ 29-	2-  1 5+  4 -5  7 -2 19+
Curve Equation t Generators 27550v1 [1,0,0,-738,9092] 1 [16:-46:1]
27550w (1 curve)	1	2- 5+ 19+ 29-	2- -3 5+ -2  3  1 -6 19+
Curve Equation t Generators 27550w1 [1,-1,1,-165630,47993997] 1 [185:-4957:1]
27550x (1 curve)	1	2- 5+ 19- 29+	2- -1 5+ -1 -1 -2  1 19-
Curve Equation t Generators 27550x1 [1,1,1,-3813,79531] 1 [-25:412:1]
27550y (2 curves)	0	2- 5+ 19- 29-	2-  0 5+  4  0 -4  4 19-
Curve Equation t 27550y1 [1,-1,1,120,2747] 2 27550y2 [1,-1,1,-2380,42747] 2
27550z (1 curve)	0	2- 5+ 19- 29-	2- -3 5+  1 -3  2  1 19-
Curve Equation t 27550z1 [1,-1,1,-3110880,-2111120253] 1
27550ba (1 curve)	1	2- 5- 19+ 29+	2-  0 5-  4 -6  0 -2 19+
Curve Equation t Generators 27550ba1 [1,-1,1,1070,50897] 1 [35:343:1]
27550bb (1 curve)	1	2- 5- 19+ 29+	2-  2 5- -3  3  6  0 19+
Curve Equation t Generators 27550bb1 [1,1,1,-5263,144781] 1 [49:62:1]
27550bc (1 curve)	1	2- 5- 19+ 29+	2-  3 5-  0 -4 -4 -1 19+
Curve Equation t Generators 27550bc1 [1,-1,1,2233695,1175715697] 1 [-12687:133580:27]
27550bd (1 curve)	1	2- 5- 19+ 29+	2- -3 5-  3  5  2 -7 19+
Curve Equation t Generators 27550bd1 [1,-1,1,-450,3777] 1 [9:-25:1]
27550be (1 curve)	0	2- 5- 19+ 29-	2- -1 5-  4 -4  4 -3 19+
Curve Equation t 27550be1 [1,1,1,-388,3531] 1
27550bf (2 curves)	0	2- 5- 19- 29+	2-  0 5-  2  4  2  0 19-
Curve Equation t 27550bf1 [1,-1,1,30945,-594553] 2 27550bf2 [1,-1,1,-129055,-4754553] 2
27550bg (1 curve)	1	2- 5- 19- 29-	2-  2 5-  1 -3  2 -4 19-
Curve Equation t Generators 27550bg1 [1,1,1,37,-119] 1 [5:12:1]

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