Cremona's table of elliptic curves

122247 = 3² · 17² · 47

Class	r	Atkin-Lehner	Eigenvalues
122247a (1 curve)	1	3+ 17+ 47+	2 3+ -1  5 -3  2 17+  4
Curve Equation t Generators 122247a1 [0,0,1,-163863,-25236853] 1 [-8649518750880:10375145711239:40142209024]
122247b (1 curve)	1	3+ 17+ 47+	-2 3+  3 -1 -3  0 17+ -4
Curve Equation t Generators 122247b1 [0,0,1,-2601,50358] 1 [68:433:1]
122247c (1 curve)	2	3+ 17+ 47-	2 3+ -3 -1  3  0 17+ -4
Curve Equation t Generators 122247c1 [0,0,1,-23409,-1359673] 1 [-750:833:8]&[3570:70223:8]
122247d (1 curve)	0	3+ 17+ 47-	-2 3+  1  5  3  2 17+  4
Curve Equation t 122247d1 [0,0,1,-18207,934698] 1
122247e (2 curves)	0	3- 17+ 47+	0 3- -3  1  3  2 17+  2
Curve Equation t 122247e1 [0,0,1,-617304,-43021913] 1 122247e2 [0,0,1,-29956584,63107211100] 1
122247f (2 curves)	0	3- 17+ 47+	1 3-  0  2  0 -6 17+ -4
Curve Equation t 122247f1 [1,-1,0,-306972,-61918101] 2 122247f2 [1,-1,0,-918207,261914202] 2
122247g (2 curves)	0	3- 17+ 47+	1 3-  0 -4  0  6 17+  2
Curve Equation t 122247g1 [1,-1,0,-20862,1660743] 2 122247g2 [1,-1,0,-371997,87407910] 2
122247h (2 curves)	0	3- 17+ 47+	-1 3-  0  0 -2  2 17+  0
Curve Equation t 122247h1 [1,-1,1,-2355260,1390411878] 2 122247h2 [1,-1,1,-1744025,2128539264] 2
122247i (1 curve)	0	3- 17+ 47+	2 3- -3  3 -5  2 17+ -6
Curve Equation t 122247i1 [0,0,1,-32079,-838895] 1
122247j (1 curve)	0	3- 17+ 47+	-2 3- -3  2  3 -3 17+  5
Curve Equation t 122247j1 [0,0,1,-9499719,-11649389940] 1
122247k (1 curve)	1	3- 17+ 47-	0 3-  1 -4  3 -3 17+  5
Curve Equation t Generators 122247k1 [0,0,1,-1632,-33741] 1 [83:-635:1]
122247l (1 curve)	1	3- 17+ 47-	0 3- -1  3 -3 -4 17+ -6
Curve Equation t Generators 122247l1 [0,0,1,-3468,20880] 1 [0:144:1]
122247m (1 curve)	1	3- 17+ 47-	0 3- -1 -3  1 -6 17+ -2
Curve Equation t Generators 122247m1 [0,0,1,-4555218,-3728951033] 1 [-1175:1093:1]
122247n (1 curve)	1	3- 17+ 47-	0 3- -1  4 -3 -3 17+  5
Curve Equation t Generators 122247n1 [0,0,1,-471648,-165768305] 1 [388705:21079164:125]
122247o (1 curve)	1	3- 17+ 47-	0 3-  3 -3 -3  6 17+  6
Curve Equation t Generators 122247o1 [0,0,1,-31955884266,2016012818742808] 1 [928489346:56806283372:12167]
122247p (1 curve)	1	3- 17+ 47-	1 3-  1 -4  0  2 17+ -5
Curve Equation t Generators 122247p1 [1,-1,0,-2349,-48114] 1 [106:888:1]
122247q (4 curves)	1	3- 17+ 47-	1 3-  2  0  4 -2 17+  0
Curve Equation t Generators 122247q1 [1,-1,0,-5256,-418901] 2 [15443830:5420731549:125] 122247q2 [1,-1,0,-122301,-16407248] 4 [-1713137673855484:674290417029062:8238736185373] 122247q3 [1,-1,0,-161316,-5022671] 2 [-4276020:97775819:21952] 122247q4 [1,-1,0,-1956006,-1052450573] 2 [-1203361601256940725337836168:601000352082326894010239149:1490695013770451780935168]
122247r (2 curves)	1	3- 17+ 47-	1 3-  2  2  0 -6 17+  8
Curve Equation t Generators 122247r1 [1,-1,0,99,472] 2 [20424:122023:512] 122247r2 [1,-1,0,-666,5215] 2 [1294:15571:8]
122247s (2 curves)	1	3- 17+ 47-	1 3- -2 -2  0 -6 17+  8
Curve Equation t Generators 122247s1 [1,-1,0,28557,2433240] 2 [-25112152:1515088063:1124864] 122247s2 [1,-1,0,-192528,24851259] 2 [-22508:459117:64]
122247t (2 curves)	1	3- 17+ 47-	1 3-  4  2  0  2 17+  4
Curve Equation t Generators 122247t1 [1,-1,0,-41670,-3021057] 2 [-286503006122010:-674918590803381:2141700569000] 122247t2 [1,-1,0,-652905,-202894902] 2 [-113690216634684802905240230:47883354361762744412786837:243880912459521997687000]
122247u (1 curve)	1	3- 17+ 47-	-2 3- -1  3  1 -2 17+  6
Curve Equation t Generators 122247u1 [0,0,1,-68493,6899080] 1 [85:1300:1]
122247v (1 curve)	0	3- 17- 47-	1 3- -1  4  0  2 17- -5
Curve Equation t 122247v1 [1,-1,0,-678915,-239099666] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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