Cremona's table of elliptic curves

107219 = 7 · 17² · 53

Class	r	Atkin-Lehner	Eigenvalues
107219a (2 curves)	1	7+ 17+ 53+	0 -1 -3 7+  0 -4 17+  5
Curve Equation t Generators 107219a1 [0,-1,1,23,-110] 1 [4:5:1] 107219a2 [0,-1,1,-1167,-14985] 1 [746:6585:8]
107219b (1 curve)	1	7+ 17+ 53+	-1  1  0 7+  3 -4 17+ -6
Curve Equation t Generators 107219b1 [1,0,0,-5208,-60931] 1 [-44:311:1]
107219c (1 curve)	1	7+ 17+ 53+	2  0 -3 7+ -3 -6 17+ -5
Curve Equation t Generators 107219c1 [0,0,1,-8959,-327943] 1 [2188410:102276889:1000]
107219d (2 curves)	0	7+ 17+ 53-	0 -1  3 7+  3  2 17+ -4
Curve Equation t 107219d1 [0,-1,1,261,-5703] 1 107219d2 [0,-1,1,-17759,-905802] 1
107219e (1 curve)	0	7+ 17+ 53-	0 -2 -2 7+  4  2 17+  7
Curve Equation t 107219e1 [0,1,1,-143899,-21058462] 1
107219f (1 curve)	0	7- 17+ 53+	1  1  0 7-  0  1 17+ -7
Curve Equation t 107219f1 [1,0,1,-10266,-409971] 1
107219g (1 curve)	0	7- 17+ 53+	1  1  0 7-  5 -4 17+ -2
Curve Equation t 107219g1 [1,0,1,-2208111,1262734467] 1
107219h (2 curves)	0	7- 17+ 53+	-1 -2  4 7- -4 -6 17+  4
Curve Equation t 107219h1 [1,0,0,-10121,150328] 2 107219h2 [1,0,0,-86706,-9729137] 2
107219i (1 curve)	1	7- 17+ 53-	0  2  2 7- -4  2 17+  7
Curve Equation t Generators 107219i1 [0,-1,1,-41586907,-103210701316] 1 [7489620633859016940:352955566259328437023:878804982861625]
107219j (2 curves)	1	7- 17+ 53-	1  2  0 7- -4  6 17+  2
Curve Equation t Generators 107219j1 [1,1,0,7075,-511888] 2 [3119540649203265205921559592:32961592779150940678250888767:30806468535013445882939904] 107219j2 [1,1,0,-69510,-6163861] 2 [4607164850685772:76856836584697915:9805840547264]
107219k (1 curve)	1	7- 17+ 53-	-1  1  2 7-  5 -2 17+  0
Curve Equation t Generators 107219k1 [1,0,0,-34397,2452502] 1 [551:12007:1]
107219l (1 curve)	1	7- 17+ 53-	2 -2  2 7-  2  4 17+ -3
Curve Equation t Generators 107219l1 [0,1,1,62328,2384793] 1 [-294:1711:8]
107219m (1 curve)	1	7- 17+ 53-	-2 -1  3 7-  2  3 17+  2
Curve Equation t Generators 107219m1 [0,-1,1,-98627704,-376971594908] 1 [-27059730819746930:-2252530297483:4719651332824]
107219n (2 curves)	1	7- 17- 53+	0  1  3 7-  0 -4 17-  5
Curve Equation t Generators 107219n1 [0,1,1,6551,-499716] 3 [43174096259686278:397846116757445758:538896081929633] 107219n2 [0,1,1,-337359,-75644051] 1 [21888763100787074313962372413845885524480390937630:2392050341501824734930834007665664483669952948965273:1828589219622562879663116179441810547232143000]
107219o (2 curves)	0	7- 17- 53-	0  1 -3 7- -3  2 17- -4
Curve Equation t 107219o1 [0,1,1,75333,-27565433] 3 107219o2 [0,1,1,-5132447,-4480998500] 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
Back to Tables and computations