Cremona's table of elliptic curves

1752 = 2³ · 3 · 73

Class	r	Atkin-Lehner	Eigenvalues
1752a (2 curves)	0	2+ 3+ 73-	2+ 3+  0  4  2  4  2  0
Curve Equation t 1752a1 [0,-1,0,-48,-36] 2 1752a2 [0,-1,0,-408,3276] 2
1752b (2 curves)	0	2+ 3- 73+	2+ 3-  0 -2  0  2  0  4
Curve Equation t 1752b1 [0,1,0,-28,-64] 2 1752b2 [0,1,0,-88,224] 2
1752c (2 curves)	0	2+ 3- 73+	2+ 3-  2  2 -2 -4  4  4
Curve Equation t 1752c1 [0,1,0,-32,48] 2 1752c2 [0,1,0,-152,-720] 2
1752d (2 curves)	0	2- 3+ 73+	2- 3+  4  0 -2 -2  8 -4
Curve Equation t 1752d1 [0,-1,0,-126756,-17296092] 2 1752d2 [0,-1,0,-83016,-29455812] 2
1752e (2 curves)	2	2- 3+ 73+	2- 3+ -4 -4 -6 -2  0 -4
Curve Equation t Generators 1752e1 [0,-1,0,-20,36] 2 [-4:6:1]&[-2:8:1] 1752e2 [0,-1,0,40,156] 2 [-2:8:1]&[1:14:1]
1752f (1 curve)	1	2- 3+ 73-	2- 3+ -1  0  0  0 -3  1
Curve Equation t Generators 1752f1 [0,-1,0,-1,-11] 1 [3:2:1]
1752g (4 curves)	1	2- 3+ 73-	2- 3+  2  0  0 -6 -6  4
Curve Equation t Generators 1752g1 [0,-1,0,-1972,34372] 4 [1:180:1] 1752g2 [0,-1,0,-1992,33660] 4 [210:3680:27] 1752g3 [0,-1,0,-5232,-99828] 2 [233:3358:1] 1752g4 [0,-1,0,928,121260] 2 [84396:915515:1728]
1752h (2 curves)	1	2- 3- 73+	2- 3-  0  0 -2 -6  0 -4
Curve Equation t Generators 1752h1 [0,1,0,57,-126] 2 [3:9:1] 1752h2 [0,1,0,-308,-1440] 2 [-14:18:1]
1752i (2 curves)	1	2- 3- 73+	2- 3-  0 -4  2  2 -8 -4
Curve Equation t Generators 1752i1 [0,1,0,-23,42] 2 [3:3:1] 1752i2 [0,1,0,-388,2816] 2 [10:6:1]
1752j (1 curve)	1	2- 3- 73+	2- 3- -3  2 -4  2 -5  5
Curve Equation t Generators 1752j1 [0,1,0,343,1419] 1 [25:-162:1]
1752k (4 curves)	0	2- 3- 73-	2- 3-  2  4 -4  2  2 -4
Curve Equation t 1752k1 [0,1,0,-132,-288] 4 1752k2 [0,1,0,-1752,-28800] 4 1752k3 [0,1,0,-28032,-1815840] 2 1752k4 [0,1,0,-1392,-40608] 2
1752l (2 curves)	0	2- 3- 73-	2- 3-  4 -2  0  0 -2  4
Curve Equation t 1752l1 [0,1,0,-216,1152] 2 1752l2 [0,1,0,-176,1632] 2

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