Cremona's table of elliptic curves

20691 = 3² · 11² · 19

Class	r	Atkin-Lehner	Eigenvalues
20691a (2 curves)	1	3+ 11+ 19+	1 3+  0 -4 11+ -4  6 19+
Curve Equation t Generators 20691a1 [1,-1,0,-237,-1336] 2 [40:208:1] 20691a2 [1,-1,0,-72,-3283] 2 [398:2507:8]
20691b (2 curves)	1	3+ 11+ 19+	-1 3+  0 -4 11+ -4 -6 19+
Curve Equation t Generators 20691b1 [1,-1,1,-2135,38206] 2 [14:97:1] 20691b2 [1,-1,1,-650,89290] 2 [25:284:1]
20691c (1 curve)	1	3+ 11+ 19+	2 3+  0  2 11+  5 -3 19+
Curve Equation t Generators 20691c1 [0,0,1,-179685,-29351545] 1 [824373096394014:37440774252834323:382973508728]
20691d (1 curve)	1	3+ 11+ 19+	-2 3+  0  2 11+  5  3 19+
Curve Equation t Generators 20691d1 [0,0,1,-19965,1087094] 1 [121:665:1]
20691e (2 curves)	0	3+ 11+ 19-	1 3+  0  4 11+  4  6 19-
Curve Equation t 20691e1 [1,-1,0,-258297,-50077648] 2 20691e2 [1,-1,0,-78612,-118609507] 2
20691f (2 curves)	0	3+ 11+ 19-	-1 3+  0  4 11+  4 -6 19-
Curve Equation t 20691f1 [1,-1,1,-28700,1864294] 2 20691f2 [1,-1,1,-8735,4395856] 2
20691g (1 curve)	0	3+ 11+ 19-	2 3+  0 -2 11+ -5 -3 19-
Curve Equation t 20691g1 [0,0,1,-165,-817] 1
20691h (1 curve)	2	3+ 11+ 19-	-2 3+  0 -2 11+ -5  3 19-
Curve Equation t Generators 20691h1 [0,0,1,-1485,22052] 1 [-11:192:1]&[0:148:1]
20691i (1 curve)	0	3- 11+ 19+	0 3- -2  0 11+  5 -5 19+
Curve Equation t 20691i1 [0,0,1,-8513076,-9684842148] 1
20691j (1 curve)	0	3- 11+ 19+	-2 3-  3  2 11+  2 -6 19+
Curve Equation t 20691j1 [0,0,1,11979,1087094] 1
20691k (1 curve)	1	3- 11+ 19-	0 3- -2  0 11+ -5  5 19-
Curve Equation t Generators 20691k1 [0,0,1,-70356,7276365] 1 [185:769:1]
20691l (1 curve)	1	3- 11+ 19-	2 3-  3 -2 11+ -2  6 19-
Curve Equation t Generators 20691l1 [0,0,1,99,-817] 1 [194:1003:8]
20691m (2 curves)	1	3- 11- 19+	0 3-  0 -2 11-  1  3 19+
Curve Equation t Generators 20691m1 [0,0,1,-395670,-103271292] 1 [3854:235831:1] 20691m2 [0,0,1,-32738970,-72101721123] 1 [260222978:1449680251:39304]
20691n (2 curves)	1	3- 11- 19+	0 3-  3  4 11- -2  0 19+
Curve Equation t Generators 20691n1 [0,0,1,-29766,2311614] 1 [-198:665:1] 20691n2 [0,0,1,209814,-13368897] 1 [594:12943:8]
20691o (3 curves)	1	3- 11- 19+	0 3- -3  1 11-  4 -3 19+
Curve Equation t Generators 20691o1 [0,0,1,726,-333] 1 [5:58:1] 20691o2 [0,0,1,-10164,-419598] 1 [5122:127877:8] 20691o3 [0,0,1,-837804,-295162893] 1 [2005550958886:827791403081:1897413272]
20691p (1 curve)	2	3- 11- 19-	0 3- -4 -2 11- -1 -3 19-
Curve Equation t Generators 20691p1 [0,0,1,-1452,-48249] 1 [77:544:1]&[143:1633:1]
20691q (4 curves)	0	3- 11- 19-	1 3-  2  0 11- -6 -6 19-
Curve Equation t 20691q1 [1,-1,0,-1656,-22005] 2 20691q2 [1,-1,0,-7101,209952] 4 20691q3 [1,-1,0,-110556,14176377] 2 20691q4 [1,-1,0,9234,1023435] 2
20691r (2 curves)	0	3- 11- 19-	-2 3- -1 -3 11-  6  3 19-
Curve Equation t 20691r1 [0,0,1,21417,-1377918] 1 20691r2 [0,0,1,-4781073,-4023806328] 1
20691s (1 curve)	0	3- 11- 19-	-2 3-  3  5 11- -2 -1 19-
Curve Equation t 20691s1 [0,0,1,-2541,54238] 1

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