Cremona's table of elliptic curves

53998 = 2 · 7² · 19 · 29

Class	r	Atkin-Lehner	Eigenvalues
53998a (1 curve)	0	2+ 7+ 19+ 29-	2+ -3  3 7+  2  4  0 19+
Curve Equation t 53998a1 [1,-1,0,-793,23533] 1
53998b (2 curves)	0	2+ 7+ 19- 29+	2+  1 -3 7+  0  2  6 19-
Curve Equation t 53998b1 [1,0,1,415,2692] 3 53998b2 [1,0,1,-4240,-148130] 1
53998c (2 curves)	0	2+ 7- 19+ 29+	2+ -1  3 7-  0 -2 -6 19+
Curve Equation t 53998c1 [1,1,0,20359,-903083] 1 53998c2 [1,1,0,-207736,50600768] 1
53998d (1 curve)	1	2+ 7- 19+ 29-	2+  3  1 7- -3  5  0 19+
Curve Equation t Generators 53998d1 [1,-1,0,-9319,-476659] 1 [3162:2927:27]
53998e (2 curves)	1	2+ 7- 19- 29+	2+  0  4 7-  4 -4  0 19-
Curve Equation t Generators 53998e1 [1,-1,0,688735,-79987587] 2 [1689:75963:1] 53998e2 [1,-1,0,-2949025,-658391427] 2 [7259415:179566421:3375]
53998f (1 curve)	0	2+ 7- 19- 29-	2+  1  3 7-  3  3  6 19-
Curve Equation t 53998f1 [1,0,1,5658,-22788] 1
53998g (1 curve)	0	2+ 7- 19- 29-	2+  1  3 7- -5  7 -2 19-
Curve Equation t 53998g1 [1,0,1,-1447,-25238] 1
53998h (1 curve)	0	2+ 7- 19- 29-	2+  3 -3 7-  2 -4  0 19-
Curve Equation t 53998h1 [1,-1,0,-16,-64] 1
53998i (1 curve)	0	2+ 7- 19- 29-	2+ -3  1 7-  3  1 -6 19-
Curve Equation t 53998i1 [1,-1,0,-324634,-131500748] 1
53998j (1 curve)	0	2- 7+ 19- 29-	2-  0  4 7+  4 -2  0 19-
Curve Equation t 53998j1 [1,-1,1,-4738,168879] 1
53998k (1 curve)	0	2- 7+ 19- 29-	2-  2 -3 7+  5 -4  2 19-
Curve Equation t 53998k1 [1,1,1,116913,-4663135] 1
53998l (2 curves)	0	2- 7- 19+ 29-	2-  0  4 7-  6 -2  6 19+
Curve Equation t 53998l1 [1,-1,1,-118,389] 2 53998l2 [1,-1,1,-678,-6331] 2
53998m (1 curve)	0	2- 7- 19+ 29-	2-  0 -4 7-  4  2  0 19+
Curve Equation t 53998m1 [1,-1,1,-97,-465] 1
53998n (2 curves)	2	2- 7- 19+ 29-	2- -1 -3 7- -3  1 -6 19+
Curve Equation t Generators 53998n1 [1,1,1,-24207,3442837] 1 [-77:-2166:1]&[97:-1470:1] 53998n2 [1,1,1,-2638847,1648847157] 1 [805:-7262:1]&[937:-518:1]
53998o (1 curve)	0	2- 7- 19+ 29-	2- -2  3 7-  5  4 -2 19+
Curve Equation t 53998o1 [1,0,0,2386,13936] 1
53998p (1 curve)	0	2- 7- 19+ 29-	2-  3 -1 7-  1 -1  6 19+
Curve Equation t 53998p1 [1,-1,1,-3555033,-2597290055] 1
53998q (1 curve)	0	2- 7- 19- 29+	2-  3  1 7- -5  5  6 19-
Curve Equation t 53998q1 [1,-1,1,3543,-49367] 1
53998r (2 curves)	1	2- 7- 19- 29-	2-  0  0 7- -4 -4  0 19-
Curve Equation t Generators 53998r1 [1,-1,1,-1210,-192839] 2 [317:5427:1] 53998r2 [1,-1,1,-58050,-5331175] 2 [-145:219:1]
53998s (2 curves)	1	2- 7- 19- 29-	2-  0 -4 7-  6  2 -6 19-
Curve Equation t Generators 53998s1 [1,-1,1,-5767,-121985] 2 [-25:90:1] 53998s2 [1,-1,1,-33207,2237855] 2 [-15:1660:1]
53998t (1 curve)	1	2- 7- 19- 29-	2-  1  1 7-  3  5  4 19-
Curve Equation t Generators 53998t1 [1,0,0,-17690,-1004956] 1 [200:1762:1]
53998u (1 curve)	1	2- 7- 19- 29-	2-  1 -3 7- -5  1  4 19-
Curve Equation t Generators 53998u1 [1,0,0,-1377587,2707960289] 1 [13514:1559185:1]

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