Cremona's table of elliptic curves

83942 = 2 · 19 · 47²

Class	r	Atkin-Lehner	Eigenvalues
83942a (3 curves)	0	2+ 19+ 47-	2+  1  0 -1  6 -5  3 19+
Curve Equation t 83942a1 [1,0,1,-34286,-2447144] 1 83942a2 [1,0,1,20939,-9286208] 1 83942a3 [1,0,1,-188916,254207730] 1
83942b (1 curve)	0	2+ 19+ 47-	2+  1  2  4  4 -4 -7 19+
Curve Equation t 83942b1 [1,0,1,-3360,75534] 1
83942c (1 curve)	0	2+ 19+ 47-	2+  3  0  1  0 -3  3 19+
Curve Equation t 83942c1 [1,-1,0,83528,6886592] 1
83942d (1 curve)	0	2+ 19+ 47-	2+  3 -2  2  4  0  5 19+
Curve Equation t 83942d1 [1,-1,0,1057697,-862900531] 1
83942e (1 curve)	1	2+ 19- 47-	2+  1  2 -3  0 -1  7 19-
Curve Equation t Generators 83942e1 [1,0,1,13018695,-8200426092] 1 [5043474:465979186:729]
83942f (1 curve)	1	2+ 19- 47-	2+  1 -2  1 -4 -5 -1 19-
Curve Equation t Generators 83942f1 [1,0,1,-65212,6565576] 1 [1406:51208:1]
83942g (1 curve)	1	2+ 19- 47-	2+  1 -2  4 -4  4 -7 19-
Curve Equation t Generators 83942g1 [1,0,1,-7421182,-7871877104] 1 [128265014002926938282643375613509410:7919080590215771343420386552226856772:23374443457817837699669156185201]
83942h (1 curve)	1	2+ 19- 47-	2+  3  2  2 -4  0  5 19-
Curve Equation t Generators 83942h1 [1,-1,0,479,8189] 1 [-339:407:27]
83942i (1 curve)	1	2- 19+ 47-	2- -2  1 -2  2  5 -5 19+
Curve Equation t Generators 83942i1 [1,0,0,-1659005,889460353] 1 [184:24207:1]
83942j (1 curve)	0	2- 19- 47-	2-  1  2  3  6  5 -5 19-
Curve Equation t 83942j1 [1,0,0,-10821937,-13704837143] 1
83942k (1 curve)	2	2- 19- 47-	2-  1 -4  1  4 -5 -5 19-
Curve Equation t Generators 83942k1 [1,0,0,-1216531690,16331669633956] 1 [21804:404390:1]&[36468:4505798:1]
83942l (2 curves)	0	2- 19- 47-	2- -1  4  3 -2  1  3 19-
Curve Equation t 83942l1 [1,1,1,-46,-123189] 1 83942l2 [1,1,1,-154676,25854651] 1
83942m (1 curve)	2	2- 19- 47-	2- -2 -1 -2 -2 -5 -5 19-
Curve Equation t Generators 83942m1 [1,0,0,-751,-8631] 1 [32:3:1]&[446:2589:8]
83942n (1 curve)	0	2- 19- 47-	2-  3  0  3 -2  1 -5 19-
Curve Equation t 83942n1 [1,-1,1,-15937245,48067015525] 1

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