Cremona's table of elliptic curves

57722 = 2 · 7² · 19 · 31

Class	r	Atkin-Lehner	Eigenvalues
57722a (1 curve)	0	2+ 7+ 19+ 31-	2+  1  0 7+  0  1 -8 19+
Curve Equation t 57722a1 [1,0,1,-1251,-71298] 1
57722b (1 curve)	2	2+ 7+ 19- 31+	2+  0  1 7+ -5 -2  2 19-
Curve Equation t Generators 57722b1 [1,-1,0,-5399,173277] 1 [-67:514:1]&[38:129:1]
57722c (2 curves)	1	2+ 7+ 19- 31-	2+  1  0 7+  0  5  0 19-
Curve Equation t Generators 57722c1 [1,0,1,-75486,8232144] 3 [-29838:879577:216] 57722c2 [1,0,1,366739,26770216] 1 [634:22359:1]
57722d (2 curves)	1	2+ 7+ 19- 31-	2+ -2  0 7+  3  2  0 19-
Curve Equation t Generators 57722d1 [1,0,1,-4681,-9558] 3 [-8:169:1] 57722d2 [1,0,1,-270506,-54174060] 1 [-300:159:1]
57722e (2 curves)	0	2+ 7- 19+ 31+	2+ -1  0 7-  0 -5  0 19+
Curve Equation t 57722e1 [1,1,0,-3698790,-2827324268] 1 57722e2 [1,1,0,17970235,-9164213939] 1
57722f (1 curve)	2	2+ 7- 19+ 31+	2+ -1  1 7-  0 -6 -2 19+
Curve Equation t Generators 57722f1 [1,1,0,108,-272] 1 [3:8:1]&[62:235:8]
57722g (2 curves)	0	2+ 7- 19+ 31+	2+  2  0 7-  3 -2  0 19+
Curve Equation t 57722g1 [1,1,0,-95,-13] 1 57722g2 [1,1,0,-5520,155576] 1
57722h (1 curve)	1	2+ 7- 19+ 31-	2+  0 -1 7- -5  2 -2 19+
Curve Equation t Generators 57722h1 [1,-1,0,-264560,-58904896] 1 [1432:49256:1]
57722i (2 curves)	1	2+ 7- 19+ 31-	2+  0 -2 7-  2  4  4 19+
Curve Equation t Generators 57722i1 [1,-1,0,-105653,18228405] 2 [51:3576:1] 57722i2 [1,-1,0,-1861813,978145461] 2 [149:26459:1]
57722j (1 curve)	1	2+ 7- 19+ 31-	2+  3  3 7-  0 -2 -2 19+
Curve Equation t Generators 57722j1 [1,-1,0,-89938,-10366252] 1 [42868452258267:607329729282148:93144487437]
57722k (1 curve)	1	2+ 7- 19- 31+	2+ -1  0 7-  0 -1  8 19-
Curve Equation t Generators 57722k1 [1,1,0,-25,197] 1 [-7:13:1]
57722l (1 curve)	1	2+ 7- 19- 31+	2+ -3 -3 7-  0  2  2 19-
Curve Equation t Generators 57722l1 [1,-1,0,-4406971,3564438373] 1 [-61:61942:1]
57722m (1 curve)	0	2+ 7- 19- 31-	2+  1 -1 7-  0  6  2 19-
Curve Equation t 57722m1 [1,0,1,5266,109120] 1
57722n (1 curve)	0	2- 7+ 19+ 31+	2- -2  0 7+ -1  6 -4 19+
Curve Equation t 57722n1 [1,0,0,-2065253,-1142487935] 1
57722o (4 curves)	0	2- 7- 19+ 31-	2-  0  2 7-  4  2 -2 19+
Curve Equation t 57722o1 [1,-1,1,-301384,122041483] 2 57722o2 [1,-1,1,-5961864,5601386123] 4 57722o3 [1,-1,1,-7116304,3279576395] 2 57722o4 [1,-1,1,-95375104,358533327051] 2
57722p (4 curves)	0	2- 7- 19+ 31-	2-  0  2 7-  4  2  6 19+
Curve Equation t 57722p1 [1,-1,1,-56597974,-164171970987] 2 57722p2 [1,-1,1,-906023754,-10496587158907] 4 57722p3 [1,-1,1,-906479944,-10485487508779] 2 57722p4 [1,-1,1,-14496380044,-671792451945275] 2
57722q (2 curves)	0	2- 7- 19+ 31-	2-  2 -2 7- -4  6  6 19+
Curve Equation t 57722q1 [1,1,1,-589,6271] 2 57722q2 [1,1,1,-9899,374947] 2
57722r (1 curve)	2	2- 7- 19+ 31-	2- -3 -1 7- -2 -4 -6 19+
Curve Equation t Generators 57722r1 [1,-1,1,-77013,10490925] 1 [335:4544:1]&[149:-1594:1]
57722s (1 curve)	0	2- 7- 19- 31+	2-  1  1 7- -2 -4 -6 19-
Curve Equation t 57722s1 [1,0,0,-22835,-1333207] 1
57722t (1 curve)	0	2- 7- 19- 31+	2-  1 -2 7-  4  5  3 19-
Curve Equation t 57722t1 [1,0,0,636,-1240] 1
57722u (2 curves)	1	2- 7- 19- 31-	2-  0 -2 7-  4  2  0 19-
Curve Equation t Generators 57722u1 [1,-1,1,-34726,2507061] 2 [51:905:1] 57722u2 [1,-1,1,-556086,159749237] 2 [423:67:1]
57722v (1 curve)	1	2- 7- 19- 31-	2- -1  3 7-  2  0 -2 19-
Curve Equation t Generators 57722v1 [1,1,1,103291,163420683] 1 [1063:37884:1]
57722w (1 curve)	1	2- 7- 19- 31-	2-  2  0 7- -1 -6  4 19-
Curve Equation t Generators 57722w1 [1,1,1,-42148,3312805] 1 [115:-1:1]
57722x (2 curves)	1	2- 7- 19- 31-	2- -2 -2 7-  2  4 -6 19-
Curve Equation t Generators 57722x1 [1,0,0,-724319,-271390631] 2 [1264:28229:1] 57722x2 [1,0,0,-12045279,-16091300135] 2 [-2004:1591:1]
57722y (1 curve)	1	2- 7- 19- 31-	2- -3  2 7-  0  1  3 19-
Curve Equation t Generators 57722y1 [1,-1,1,-45849,3797721] 1 [153:512:1]

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