Cremona's table of elliptic curves

42483 = 3 · 7² · 17²

Class	r	Atkin-Lehner	Eigenvalues
42483a (1 curve)	1	3+ 7+ 17+	1 3+ -3 7+ -6  1 17+ -4
Curve Equation t Generators 42483a1 [1,1,0,-64019,-4764234] 1 [-186:960:1]
42483b (1 curve)	1	3+ 7+ 17+	-1 3+ -1 7+  2  1 17+ -8
Curve Equation t Generators 42483b1 [1,1,1,-156066,-20139540] 1 [-288:1155:1]
42483c (2 curves)	1	3+ 7+ 17+	2 3+  2 7+  2  1 17+  1
Curve Equation t Generators 42483c1 [0,-1,1,-33042,2523149] 1 [-34914:410561:216] 42483c2 [0,-1,1,-12919552,-17883952731] 1 [2951341774022945046566566787145258:-835945168663048631393464314160566437:36712460120862495405530514888]
42483d (1 curve)	0	3+ 7+ 17-	0 3+ -2 7+  4  1 17- -5
Curve Equation t 42483d1 [0,-1,1,9441,781346] 1
42483e (1 curve)	0	3+ 7+ 17-	0 3+ -2 7+ -6  6 17-  0
Curve Equation t 42483e1 [0,-1,1,-1123439,459002984] 1
42483f (1 curve)	0	3+ 7- 17+	0 3+  1 7- -3 -3 17+ -3
Curve Equation t 42483f1 [0,-1,1,50479245,-124891336816] 1
42483g (1 curve)	0	3+ 7- 17+	0 3+  1 7-  5  5 17+  5
Curve Equation t 42483g1 [0,-1,1,-75525,29499854] 1
42483h (1 curve)	0	3+ 7- 17+	0 3+ -2 7- -4 -1 17+  5
Curve Equation t 42483h1 [0,-1,1,133689281,-1322040298944] 1
42483i (1 curve)	0	3+ 7- 17+	0 3+ -2 7-  6 -6 17+  0
Curve Equation t 42483i1 [0,-1,1,-79,-246] 1
42483j (1 curve)	0	3+ 7- 17+	0 3+  4 7- -4 -1 17+ -1
Curve Equation t 42483j1 [0,-1,1,-18881,1096934] 1
42483k (2 curves)	0	3+ 7- 17+	1 3+ -2 7-  6  4 17+  2
Curve Equation t 42483k1 [1,1,0,-1306,56575] 2 42483k2 [1,1,0,-31651,2150380] 2
42483l (2 curves)	0	3+ 7- 17+	-1 3+  0 7- -4 -2 17+ -4
Curve Equation t 42483l1 [1,1,1,-325998,-50302470] 2 42483l2 [1,1,1,877687,-333890656] 2
42483m (2 curves)	0	3+ 7- 17+	2 3+ -3 7-  5  1 17+  5
Curve Equation t 42483m1 [0,-1,1,278,825] 1 42483m2 [0,-1,1,-41372,3252857] 1
42483n (1 curve)	0	3- 7+ 17+	0 3-  2 7+ -4  1 17+ -5
Curve Equation t 42483n1 [0,1,1,2728353,3855124424] 1
42483o (1 curve)	0	3- 7+ 17+	0 3-  2 7+  6  6 17+  0
Curve Equation t 42483o1 [0,1,1,-3887,92054] 1
42483p (1 curve)	0	3- 7+ 17+	0 3- -4 7+ -4  1 17+  1
Curve Equation t 42483p1 [0,1,1,-925185,-374398090] 1
42483q (2 curves)	1	3- 7- 17+	0 3-  3 7-  3  1 17+  1
Curve Equation t Generators 42483q1 [0,1,1,9441,1703909] 1 [2298:42479:8] 42483q2 [0,1,1,-840219,296323514] 1 [591890:2590963:1000]
42483r (2 curves)	1	3- 7- 17+	1 3-  2 7-  6 -4 17+ -2
Curve Equation t Generators 42483r1 [1,0,1,-64020,-19597259] 2 [18359939412542:297006587157981:37460865736] 42483r2 [1,0,1,-1550925,-742233089] 2 [16940130469255026734806630:-737467965214656069064428199:6596364726581807737000]
42483s (1 curve)	1	3- 7- 17+	1 3-  3 7- -6 -1 17+  4
Curve Equation t Generators 42483s1 [1,0,1,-1307,13703] 1 [497:36861:343]
42483t (2 curves)	1	3- 7- 17+	-1 3-  0 7-  4 -2 17+ -4
Curve Equation t Generators 42483t1 [1,0,0,-1128,-10305] 2 [-27:39:1] 42483t2 [1,0,0,3037,-67782] 2 [67:-695:1]
42483u (1 curve)	1	3- 7- 17+	-1 3-  1 7-  2 -1 17+  8
Curve Equation t Generators 42483u1 [1,0,0,-7647235,6884920454] 1 [41:81044:1]
42483v (6 curves)	1	3- 7- 17+	-1 3- -2 7- -4  2 17+ -4
Curve Equation t Generators 42483v1 [1,0,0,13866,139635] 2 [15:585:1] 42483v2 [1,0,0,-56939,1116744] 4 [-197:2266:1] 42483v3 [1,0,0,-552574,-157189075] 2 [-409:866:1] 42483v4 [1,0,0,-694184,222240759] 4 [2302:102889:1] 42483v5 [1,0,0,-481769,360862788] 2 [-17310360:-1380897159:64000] 42483v6 [1,0,0,-11102519,14238104670] 2 [51964770:-27920237:27000]
42483w (1 curve)	1	3- 7- 17+	2 3-  1 7- -1 -1 17+ -1
Curve Equation t Generators 42483w1 [0,1,1,278500,39428813] 1 [-276339678088122:-164361768268256605:27167746198328]
42483x (2 curves)	1	3- 7- 17+	2 3- -2 7-  2 -1 17+ -1
Curve Equation t Generators 42483x1 [0,1,1,-674,-7549] 1 [3162508278:23051198825:49027896] 42483x2 [0,1,1,-263664,52064471] 1 [3114:23405:8]
42483y (2 curves)	1	3- 7- 17+	2 3-  3 7- -5  1 17+  5
Curve Equation t Generators 42483y1 [0,1,1,80246,4536109] 1 [158215341384592:-5111401535613629:1248547704832] 42483y2 [0,1,1,-11956604,15909548225] 1 [8166160:2164585:4096]
42483z (1 curve)	1	3- 7- 17+	-2 3- -3 7-  3 -1 17+  7
Curve Equation t Generators 42483z1 [0,1,1,-599482,-209705660] 1 [1745:-63725:1]
42483ba (1 curve)	0	3- 7- 17-	0 3-  2 7-  4 -1 17-  5
Curve Equation t 42483ba1 [0,1,1,462593,-268926962] 1
42483bb (1 curve)	0	3- 7- 17-	0 3-  2 7- -6 -6 17-  0
Curve Equation t 42483bb1 [0,1,1,-22927,-1344752] 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