Cremona's table of elliptic curves

86583 = 3 · 7² · 19 · 31

Class	r	Atkin-Lehner	Eigenvalues
86583a (1 curve)	1	3+ 7+ 19+ 31+	0 3+ -3 7+ -4 -2 -3 19+
Curve Equation t Generators 86583a1 [0,-1,1,13263,-3751693] 1 [327:-5954:1]
86583b (1 curve)	0	3+ 7+ 19+ 31-	1 3+ -2 7+  3 -5 -7 19+
Curve Equation t 86583b1 [1,1,0,-72741,-11545344] 1
86583c (1 curve)	2	3+ 7+ 19+ 31-	-2 3+ -3 7+ -4  0 -5 19+
Curve Equation t Generators 86583c1 [0,-1,1,-32552,2271632] 1 [107:46:1]&[-110:2123:1]
86583d (2 curves)	2	3+ 7- 19+ 31+	1 3+  0 7- -2  0  0 19+
Curve Equation t Generators 86583d1 [1,1,0,-61520,-5747517] 2 [-158:323:1]&[286:249:1] 86583d2 [1,1,0,-145555,13227586] 2 [-398:3082:1]&[-610:39407:8]
86583e (1 curve)	0	3+ 7- 19+ 31+	1 3+ -4 7- -5 -5 -3 19+
Curve Equation t 86583e1 [1,1,0,-172,-2645] 1
86583f (2 curves)	0	3+ 7- 19+ 31+	-1 3+  0 7-  6 -2  6 19+
Curve Equation t 86583f1 [1,1,1,-80998,8834258] 2 86583f2 [1,1,1,-96433,5210120] 2
86583g (1 curve)	2	3+ 7- 19+ 31+	2 3+ -2 7-  0  0 -5 19+
Curve Equation t Generators 86583g1 [0,-1,1,281846,-103950981] 1 [28986:1761267:8]&[132676:6200113:64]
86583h (1 curve)	0	3+ 7- 19+ 31+	2 3+  3 7-  0 -7 -2 19+
Curve Equation t 86583h1 [0,-1,1,-564594,166534283] 1
86583i (1 curve)	1	3+ 7- 19+ 31-	-1 3+ -1 7- -3  0  6 19+
Curve Equation t Generators 86583i1 [1,1,1,279,-1758] 1 [10:41:1]
86583j (6 curves)	1	3+ 7- 19+ 31-	-1 3+  2 7- -4  2 -2 19+
Curve Equation t Generators 86583j1 [1,1,1,-81292,-8947156] 2 [-1338:1253:8] 86583j2 [1,1,1,-101137,-4271674] 4 [16806:753053:8] 86583j3 [1,1,1,377348,-32597986] 2 [201107428152:-7088136570767:700227072] 86583j4 [1,1,1,-897142,323682386] 4 [395:5382:1] 86583j5 [1,1,1,-212857,806240168] 2 [359034:15167545:216] 86583j6 [1,1,1,-14317507,20846104544] 2 [140724:5401:64]
86583k (4 curves)	1	3+ 7- 19- 31+	1 3+ -2 7-  4 -2 -2 19-
Curve Equation t Generators 86583k1 [1,1,0,1004,32131] 2 [6:193:1] 86583k2 [1,1,0,-11001,389880] 4 [734:2867:8] 86583k3 [1,1,0,-43586,-3109749] 2 [109194:2152069:216] 86583k4 [1,1,0,-170496,27025545] 4 [936732:16309109:1728]
86583l (4 curves)	1	3+ 7- 19- 31+	-1 3+  2 7-  0 -2 -6 19-
Curve Equation t Generators 86583l1 [1,1,1,-6477507,6342714888] 4 [30918:1565473:8] 86583l2 [1,1,1,-6477752,6342210776] 4 [2680:89432:1] 86583l3 [1,1,1,-5862557,7595978186] 2 [-1282:114688:1] 86583l4 [1,1,1,-7096867,5056185098] 2 [75153:2201465:27]
86583m (1 curve)	1	3+ 7- 19- 31+	2 3+ -1 7-  0  1  6 19-
Curve Equation t Generators 86583m1 [0,-1,1,-16,-7995] 1 [1412:2761:64]
86583n (1 curve)	0	3+ 7- 19- 31-	1 3+  2 7- -3  3 -3 19-
Curve Equation t 86583n1 [1,1,0,11721,1172088] 1
86583o (2 curves)	0	3+ 7- 19- 31-	1 3+  2 7-  6  0  0 19-
Curve Equation t 86583o1 [1,1,0,-18204,6332355] 2 86583o2 [1,1,0,-637319,194667138] 2
86583p (2 curves)	0	3+ 7- 19- 31-	-1 3+  4 7- -2 -4  0 19-
Curve Equation t 86583p1 [1,1,1,-497087606,-4255708705774] 2 86583p2 [1,1,1,-698855641,-474979265944] 2
86583q (1 curve)	2	3+ 7- 19- 31-	-2 3+ -2 7- -4 -4 -3 19-
Curve Equation t Generators 86583q1 [0,-1,1,-2144,38954] 1 [47:-200:1]&[-29:275:1]
86583r (1 curve)	0	3- 7+ 19+ 31+	1 3- -2 7+ -3 -3  3 19+
Curve Equation t 86583r1 [1,0,1,574303,-400303249] 1
86583s (1 curve)	1	3- 7+ 19- 31+	-1 3-  1 7+ -3  0 -6 19-
Curve Equation t Generators 86583s1 [1,0,0,13670,643943] 1 [1229:42677:1]
86583t (1 curve)	0	3- 7+ 19- 31-	1 3-  4 7+ -5  5  3 19-
Curve Equation t 86583t1 [1,0,1,-8454,881899] 1
86583u (1 curve)	1	3- 7- 19+ 31+	-2 3-  2 7- -4  4  3 19+
Curve Equation t Generators 86583u1 [0,1,1,-105072,-13151176] 1 [19659:465202:27]
86583v (1 curve)	2	3- 7- 19- 31+	0 3- -2 7- -2  2 -3 19-
Curve Equation t Generators 86583v1 [0,1,1,-14158419,20593480961] 1 [2193:9775:1]&[-3981:117820:1]
86583w (1 curve)	0	3- 7- 19- 31+	1 3-  2 7-  3  5  7 19-
Curve Equation t 86583w1 [1,0,1,-3564335,3949360013] 1
86583x (2 curves)	0	3- 7- 19- 31+	1 3- -4 7-  6 -4  4 19-
Curve Equation t 86583x1 [1,0,1,-56033,5100407] 2 86583x2 [1,0,1,-57748,4771127] 2
86583y (1 curve)	2	3- 7- 19- 31+	-2 3-  0 7- -4  0 -1 19-
Curve Equation t Generators 86583y1 [0,1,1,-3838,124198] 1 [-502:2789:8]&[86:661:1]
86583z (1 curve)	0	3- 7- 19- 31+	-2 3-  3 7- -4  0  5 19-
Curve Equation t 86583z1 [0,1,1,-1595064,-775979746] 1
86583ba (1 curve)	1	3- 7- 19- 31-	0 3-  3 7- -4  2  3 19-
Curve Equation t Generators 86583ba1 [0,1,1,271,11015] 1 [115:1255:1]
86583bb (2 curves)	1	3- 7- 19- 31-	-1 3-  0 7-  6  2 -6 19-
Curve Equation t Generators 86583bb1 [1,0,0,-1653,-25992] 2 [57:228:1] 86583bb2 [1,0,0,-1968,-15471] 2 [81:558:1]
86583bc (1 curve)	1	3- 7- 19- 31-	2 3-  2 7-  0  0  5 19-
Curve Equation t Generators 86583bc1 [0,1,1,13810438,35627565509] 1 [24986:2644079:8]

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