Cremona's table of elliptic curves

124002 = 2 · 3² · 83²

Class	r	Atkin-Lehner	Eigenvalues
124002a (1 curve)	1	2+ 3+ 83+	2+ 3+  1  4  3 -4  4  5
Curve Equation t Generators 124002a1 [1,-1,0,-669,6841] 1 [21:31:1]
124002b (1 curve)	1	2+ 3+ 83+	2+ 3+  1  4 -3  4 -4 -5
Curve Equation t Generators 124002b1 [1,-1,0,-41490294,103040904392] 1 [4702:106702:1]
124002c (1 curve)	0	2+ 3+ 83-	2+ 3+  1 -2 -1  2  0  5
Curve Equation t 124002c1 [1,-1,0,-52959,-41923763] 1
124002d (1 curve)	0	2+ 3- 83+	2+ 3-  0 -1 -3  6  3 -6
Curve Equation t 124002d1 [1,-1,0,-3752352,-5292147776] 1
124002e (2 curves)	0	2+ 3- 83+	2+ 3- -2  4  0  2 -2  2
Curve Equation t 124002e1 [1,-1,0,-8388,-244400] 2 124002e2 [1,-1,0,-127908,-17574800] 2
124002f (1 curve)	1	2+ 3- 83-	2+ 3-  1  4  2 -4  0  5
Curve Equation t Generators 124002f1 [1,-1,0,-36774,-2697548] 1 [-6988:8867:64]
124002g (1 curve)	1	2+ 3- 83-	2+ 3- -1 -4 -3  6  4  3
Curve Equation t Generators 124002g1 [1,-1,0,-528300,447215904] 1 [1017:30492:1]
124002h (1 curve)	1	2+ 3- 83-	2+ 3-  2  2  0  3 -5  6
Curve Equation t Generators 124002h1 [1,-1,0,418226454,-2146266231948] 1 [17351308888363732390734855512450047585401226931:4968258118186195209890194429878199931164825372297:224705845957870006008081910979110996838381]
124002i (1 curve)	1	2+ 3- 83-	2+ 3-  2 -2  6 -3  5 -6
Curve Equation t Generators 124002i1 [1,-1,0,-3906,-293868] 1 [169:1878:1]
124002j (2 curves)	1	2+ 3- 83-	2+ 3-  2  4  0  0  2  0
Curve Equation t Generators 124002j1 [1,-1,0,-280296,-52016148] 2 [-1459636143:-6667366236:4173281] 124002j2 [1,-1,0,339714,-250295346] 2 [766362329511415:-19406616237038974:1146087294625]
124002k (1 curve)	1	2+ 3- 83-	2+ 3- -2  1  5  2  3  2
Curve Equation t Generators 124002k1 [1,-1,0,-404298,102683236] 1 [11724:1261714:1]
124002l (2 curves)	1	2+ 3- 83-	2+ 3- -3  2  0 -2  0  1
Curve Equation t Generators 124002l1 [1,-1,0,-171,-297] 1 [-3:15:1] 124002l2 [1,-1,0,-11376,-464184] 1 [-31416:15897:512]
124002m (1 curve)	0	2- 3+ 83+	2- 3+ -1  4  3  4  4 -5
Curve Equation t 124002m1 [1,-1,1,-4610033,-3814793115] 1
124002n (1 curve)	0	2- 3+ 83+	2- 3+ -1  4 -3 -4 -4  5
Curve Equation t 124002n1 [1,-1,1,-6023,-178685] 1
124002o (1 curve)	1	2- 3+ 83-	2- 3+ -1 -2  1  2  0  5
Curve Equation t Generators 124002o1 [1,-1,1,-476633,1132418233] 1 [-1141:14348:1]
124002p (1 curve)	1	2- 3- 83+	2- 3-  0 -1 -3 -6  3  6
Curve Equation t Generators 124002p1 [1,-1,1,-545,9393] 1 [21:72:1]
124002q (2 curves)	1	2- 3- 83+	2- 3-  2  4  0 -2 -2 -2
Curve Equation t Generators 124002q1 [1,-1,1,-57786224,140958244563] 2 [4325009:407837877:2197] 124002q2 [1,-1,1,-881159504,10067546508243] 2 [276936727490891:-1527516796111515:15794358229]
124002r (1 curve)	0	2- 3- 83-	2- 3- -1  4  2  4  0 -5
Curve Equation t 124002r1 [1,-1,1,-253337378,1547742954273] 1
124002s (1 curve)	2	2- 3- 83-	2- 3- -2  2  0 -3 -5 -6
Curve Equation t Generators 124002s1 [1,-1,1,60709,3738251] 1 [21:-2252:1]&[3:1978:1]
124002t (1 curve)	0	2- 3- 83-	2- 3- -2 -2  6  3  5  6
Curve Equation t 124002t1 [1,-1,1,-26909726,168594997421] 1
124002u (2 curves)	0	2- 3- 83-	2- 3-  3  2  0  2  0 -1
Curve Equation t 124002u1 [1,-1,1,-1179311,194577329] 1 124002u2 [1,-1,1,-78370556,267060149543] 3

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