Cremona's table of elliptic curves

4758 = 2 · 3 · 13 · 61

Class	r	Atkin-Lehner	Eigenvalues
4758a (1 curve)	1	2+ 3+ 13+ 61+	2+ 3+ -3 -2 -4 13+  7 -4
Curve Equation t Generators 4758a1 [1,1,0,11,-29] 1 [3:5:1]
4758b (2 curves)	2	2+ 3+ 13- 61+	2+ 3+ -4  0 -4 13- -4 -4
Curve Equation t Generators 4758b1 [1,1,0,-12,0] 2 [-4:4:1]&[-3:6:1] 4758b2 [1,1,0,48,60] 2 [-1:4:1]&[2:12:1]
4758c (2 curves)	1	2+ 3- 13+ 61-	2+ 3-  0 -4 -4 13+  4  6
Curve Equation t Generators 4758c1 [1,0,1,-341,2000] 2 [6:10:1] 4758c2 [1,0,1,-5201,143912] 2 [45:16:1]
4758d (2 curves)	0	2- 3+ 13+ 61+	2- 3+  0 -2  4 13+  2 -4
Curve Equation t 4758d1 [1,1,1,17,-91] 2 4758d2 [1,1,1,-243,-1443] 2
4758e (2 curves)	0	2- 3+ 13+ 61+	2- 3+ -4  2 -4 13+ -2 -8
Curve Equation t 4758e1 [1,1,1,-150,154371] 2 4758e2 [1,1,1,-44090,3493811] 2
4758f (2 curves)	1	2- 3+ 13+ 61-	2- 3+  0  0 -4 13+  8 -2
Curve Equation t Generators 4758f1 [1,1,1,-5708,59357] 2 [5:173:1] 4758f2 [1,1,1,-49448,-4209667] 2 [-8428:16975:64]
4758g (4 curves)	0	2- 3+ 13- 61-	2- 3+ -2  0 -4 13- -6  0
Curve Equation t 4758g1 [1,1,1,-12049,504047] 4 4758g2 [1,1,1,-12129,496911] 4 4758g3 [1,1,1,-27989,-1095433] 2 4758g4 [1,1,1,2451,1634151] 4
4758h (2 curves)	0	2- 3- 13+ 61-	2- 3- -2 -2 -4 13+ -4  0
Curve Equation t 4758h1 [1,0,0,56,944] 2 4758h2 [1,0,0,-1164,14364] 2
4758i (2 curves)	0	2- 3- 13+ 61-	2- 3-  4  4 -4 13+ -4  6
Curve Equation t 4758i1 [1,0,0,-3816,-73152] 2 4758i2 [1,0,0,-19176,955968] 2
4758j (1 curve)	0	2- 3- 13- 61+	2- 3-  3  2 -4 13-  1  0
Curve Equation t 4758j1 [1,0,0,-364,-2704] 1

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