Cremona's table of elliptic curves

1722 = 2 · 3 · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
1722a (1 curve)	1	2+ 3+ 7+ 41+	2+ 3+  3 7+ -4  1  3 -3
Curve Equation t Generators 1722a1 [1,1,0,-126,12642] 1 [413:8197:1]
1722b (1 curve)	1	2+ 3+ 7+ 41+	2+ 3+ -3 7+  2  1 -6  6
Curve Equation t Generators 1722b1 [1,1,0,-44,96] 1 [4:0:1]
1722c (1 curve)	0	2+ 3+ 7+ 41-	2+ 3+  0 7+  5  4  2 -1
Curve Equation t 1722c1 [1,1,0,165,1341] 1
1722d (1 curve)	0	2+ 3+ 7- 41+	2+ 3+ -1 7-  4  1  3 -3
Curve Equation t 1722d1 [1,1,0,-63598,6271636] 1
1722e (1 curve)	0	2+ 3+ 7- 41+	2+ 3+  4 7- -1 -4 -2  7
Curve Equation t 1722e1 [1,1,0,-518,-5100] 1
1722f (1 curve)	1	2+ 3- 7- 41+	2+ 3-  1 7- -2 -5 -2 -6
Curve Equation t Generators 1722f1 [1,0,1,-43,-490] 1 [31:-184:1]
1722g (2 curves)	0	2+ 3- 7- 41-	2+ 3-  3 7-  0 -1 -3 -1
Curve Equation t 1722g1 [1,0,1,-2082,-40718] 3 1722g2 [1,0,1,-173667,-27870698] 1
1722h (1 curve)	0	2- 3+ 7+ 41+	2- 3+  1 7+  2  3  2  2
Curve Equation t 1722h1 [1,1,1,920,-3271] 1
1722i (1 curve)	0	2- 3+ 7+ 41+	2- 3+  4 7+ -1  0  2 -1
Curve Equation t 1722i1 [1,1,1,4929,-620379] 1
1722j (2 curves)	1	2- 3+ 7+ 41-	2- 3+  0 7+  2 -6 -2 -8
Curve Equation t Generators 1722j1 [1,1,1,-378,2823] 2 [9:11:1] 1722j2 [1,1,1,-6138,182535] 2 [55:-151:1]
1722k (1 curve)	1	2- 3+ 7+ 41-	2- 3+  1 7+ -4 -3 -7  5
Curve Equation t Generators 1722k1 [1,1,1,-5425,187343] 1 [-53:600:1]
1722l (2 curves)	1	2- 3+ 7+ 41-	2- 3+ -4 7+  6  2 -2  0
Curve Equation t Generators 1722l1 [1,1,1,-480,-4419] 2 [537:12179:1] 1722l2 [1,1,1,-7770,-266859] 2 [902:3973:8]
1722m (4 curves)	1	2- 3+ 7- 41+	2- 3+ -2 7- -4  2 -2  4
Curve Equation t Generators 1722m1 [1,1,1,101,3305] 2 [19:-122:1] 1722m2 [1,1,1,-2779,52841] 4 [-47:310:1] 1722m3 [1,1,1,-7699,-193159] 2 [-59:274:1] 1722m4 [1,1,1,-43939,3526745] 2 [121:-54:1]
1722n (1 curve)	1	2- 3- 7+ 41+	2- 3- -3 7+  0 -5 -1 -1
Curve Equation t Generators 1722n1 [1,0,0,-32,384] 1 [-2:22:1]
1722o (4 curves)	0	2- 3- 7+ 41-	2- 3-  2 7+  0  6  2 -4
Curve Equation t 1722o1 [1,0,0,-102,468] 4 1722o2 [1,0,0,-1722,27360] 4 1722o3 [1,0,0,-1812,24318] 2 1722o4 [1,0,0,-27552,1757970] 2
1722p (1 curve)	0	2- 3- 7+ 41-	2- 3-  4 7+ -1 -4  2  5
Curve Equation t 1722p1 [1,0,0,-3296,84378] 1
1722q (2 curves)	0	2- 3- 7- 41+	2- 3-  0 7- -3 -4  6  5
Curve Equation t 1722q1 [1,0,0,-28,56] 3 1722q2 [1,0,0,122,254] 1

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