Cremona's table of elliptic curves

5194 = 2 · 7² · 53

Class	r	Atkin-Lehner	Eigenvalues
5194a (1 curve)	1	2+ 7+ 53+	2+  0 -4 7+ -3  1 -3  6
Curve Equation t Generators 5194a1 [1,-1,0,-54644,4618704] 1 [-120:3132:1]
5194b (2 curves)	1	2+ 7+ 53+	2+ -2  0 7+ -3 -1 -3  2
Curve Equation t Generators 5194b1 [1,0,1,-30406,2038152] 3 [-143:1933:1] 5194b2 [1,0,1,-38981,795120] 1 [-45:1590:1]
5194c (1 curve)	0	2+ 7- 53+	2+  0  1 7-  3 -4  3  0
Curve Equation t 5194c1 [1,-1,0,-254,-1898] 1
5194d (1 curve)	0	2+ 7- 53+	2+  0 -3 7-  3 -4 -1  0
Curve Equation t 5194d1 [1,-1,0,35614,-4136812] 1
5194e (1 curve)	0	2+ 7- 53+	2+  0  4 7- -3 -1  3 -6
Curve Equation t 5194e1 [1,-1,0,-1115,-13147] 1
5194f (1 curve)	0	2+ 7- 53+	2+  1  4 7- -4 -1 -5  7
Curve Equation t 5194f1 [1,0,1,-369,-2796] 1
5194g (2 curves)	0	2+ 7- 53+	2+  2  0 7- -3  1  3 -2
Curve Equation t 5194g1 [1,1,0,-620,-6208] 1 5194g2 [1,1,0,-795,-2659] 1
5194h (1 curve)	0	2+ 7- 53+	2+ -3  0 7-  0 -1 -1  3
Curve Equation t 5194h1 [1,-1,0,179723,262905397] 1
5194i (1 curve)	1	2+ 7- 53-	2+ -2 -1 7-  5  4 -3  4
Curve Equation t Generators 5194i1 [1,0,1,-1349,18960] 1 [18:15:1]
5194j (2 curves)	1	2+ 7- 53-	2+ -2  4 7-  0  4  2 -6
Curve Equation t Generators 5194j1 [1,0,1,-1451014,-699819816] 2 [1281908:180448089:64] 5194j2 [1,0,1,-23473574,-43775947176] 2 [547187324700:75154138307707:27000000]
5194k (2 curves)	1	2+ 7- 53-	2+ -2 -4 7- -4 -2 -6 -2
Curve Equation t Generators 5194k1 [1,0,1,-3113,-93348] 2 [95:638:1] 5194k2 [1,0,1,-55053,-4975708] 2 [-136:92:1]
5194l (1 curve)	0	2- 7+ 53+	2-  2  4 7+ -3 -1  5 -6
Curve Equation t 5194l1 [1,1,1,-5881,-176009] 1
5194m (1 curve)	1	2- 7- 53+	2-  1  2 7- -6 -5  1  3
Curve Equation t Generators 5194m1 [1,0,0,-687,-27847] 1 [46:173:1]
5194n (2 curves)	1	2- 7- 53+	2- -1  0 7-  0 -5  3  1
Curve Equation t Generators 5194n1 [1,1,1,-13868,792525] 1 [13:777:1] 5194n2 [1,1,1,-1205548,508975053] 1 [629:-119:1]
5194o (2 curves)	1	2- 7- 53+	2-  2 -3 7- -3  4 -3  4
Curve Equation t Generators 5194o1 [1,1,1,48,-295] 1 [27:133:1] 5194o2 [1,1,1,-442,9505] 1 [230:1057:8]
5194p (1 curve)	1	2- 7- 53+	2- -2 -4 7- -3  1 -5  6
Curve Equation t Generators 5194p1 [1,0,0,-120,496] 1 [6:-2:1]
5194q (1 curve)	1	2- 7- 53+	2- -3  2 7-  2 -1 -3 -1
Curve Equation t Generators 5194q1 [1,-1,1,-3954,-4038555] 1 [2025:90029:1]

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