Cremona's table of elliptic curves

570 = 2 · 3 · 5 · 19

Class	r	Atkin-Lehner	Eigenvalues
570a (2 curves)	1	2+ 3+ 5+ 19+	2+ 3+ 5+  2 -6  0  2 19+
Curve Equation t Generators 570a1 [1,1,0,-98,372] 2 [4:6:1] 570a2 [1,1,0,-1618,24388] 2 [16:46:1]
570b (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+ -2  4 -6  4 19-
Curve Equation t 570b1 [1,1,0,-78,-972] 2 570b2 [1,1,0,-1998,-35148] 2
570c (2 curves)	1	2+ 3+ 5- 19-	2+ 3+ 5- -2 -2  0 -2 19-
Curve Equation t Generators 570c1 [1,1,0,-17,69] 2 [-2:11:1] 570c2 [1,1,0,-397,2881] 2 [-8:79:1]
570d (4 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+  4  0  2 -2 19+
Curve Equation t 570d1 [1,0,1,3676,-514654] 2 570d2 [1,0,1,-78244,-7985758] 4 570d3 [1,0,1,-1233444,-527363678] 2 570d4 [1,0,1,-233764,33569186] 2
570e (4 curves)	1	2+ 3- 5- 19+	2+ 3- 5- -4 -4 -6 -6 19+
Curve Equation t Generators 570e1 [1,0,1,12,-14] 2 [2:3:1] 570e2 [1,0,1,-68,-142] 4 [-6:10:1] 570e3 [1,0,1,-968,-11662] 2 [-18:10:1] 570e4 [1,0,1,-448,3506] 4 [-20:77:1]
570f (4 curves)	0	2+ 3- 5- 19-	2+ 3- 5-  2  0  2  0 19-
Curve Equation t 570f1 [1,0,1,-23,506] 6 570f2 [1,0,1,-1103,13898] 6 570f3 [1,0,1,202,-13624] 2 570f4 [1,0,1,-7478,-240952] 2
570g (4 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+  0  4  2  2 19+
Curve Equation t 570g1 [1,1,1,-31,53] 4 570g2 [1,1,1,-51,-51] 4 570g3 [1,1,1,-621,-6207] 2 570g4 [1,1,1,199,-151] 2
570h (2 curves)	0	2- 3+ 5- 19-	2- 3+ 5- -2  0  6  8 19-
Curve Equation t 570h1 [1,1,1,0,-3] 2 570h2 [1,1,1,-30,-75] 2
570i (4 curves)	0	2- 3+ 5- 19-	2- 3+ 5-  4  0 -6  2 19-
Curve Equation t 570i1 [1,1,1,-1900,32525] 4 570i2 [1,1,1,-30780,2065677] 4 570i3 [1,1,1,-31160,2011565] 2 570i4 [1,1,1,-492480,132819117] 2
570j (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+  2 -4  6  4 19-
Curve Equation t 570j1 [1,0,0,-1456,-21604] 2 570j2 [1,0,0,-23326,-1373170] 2
570k (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+  2  6 -4 -6 19-
Curve Equation t 570k1 [1,0,0,-25871,1614201] 6 570k2 [1,0,0,-414991,102863225] 6 570k3 [1,0,0,85489,8420985] 2 570k4 [1,0,0,-463231,77449961] 2
570l (4 curves)	0	2- 3- 5- 19+	2- 3- 5- -2  2  4 -2 19+
Curve Equation t 570l1 [1,0,0,9335,-737383] 10 570l2 [1,0,0,-87945,-8655975] 10 570l3 [1,0,0,-3301465,-2309192023] 2 570l4 [1,0,0,-52823445,-147775056075] 2
570m (4 curves)	0	2- 3- 5- 19+	2- 3- 5-  4 -4 -2 -2 19+
Curve Equation t 570m1 [1,0,0,-10,20] 4 570m2 [1,0,0,-190,992] 4 570m3 [1,0,0,-220,650] 2 570m4 [1,0,0,-3040,64262] 2

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