Cremona's table of elliptic curves

64757 = 7 · 11 · 29²

Class	r	Atkin-Lehner	Eigenvalues
64757a (1 curve)	1	7+ 11+ 29+	0 -2 -2 7+ 11+  1  7 -1
Curve Equation t Generators 64757a1 [0,1,1,-19,-37] 1 [-3:1:1]
64757b (2 curves)	1	7+ 11+ 29+	-1 -2 -2 7+ 11+  4 -4  0
Curve Equation t Generators 64757b1 [1,0,0,2926,231403] 2 [-17:429:1] 64757b2 [1,0,0,-43329,3200974] 2 [6:1712:1]
64757c (1 curve)	2	7+ 11+ 29-	-2 -3 -2 7+ 11+ -4 -2 -3
Curve Equation t Generators 64757c1 [0,0,1,29,210] 1 [-4:5:1]&[0:14:1]
64757d (1 curve)	0	7+ 11- 29+	0  3 -1 7+ 11- -4 -2  6
Curve Equation t 64757d1 [0,0,1,1682,6097] 1
64757e (4 curves)	0	7+ 11- 29+	1  0 -2 7+ 11-  6  2  8
Curve Equation t 64757e1 [1,-1,0,491407,150999776] 2 64757e2 [1,-1,0,-3044998,1479980775] 4 64757e3 [1,-1,0,-17800343,-27720846980] 2 64757e4 [1,-1,0,-44872133,115693155606] 4
64757f (1 curve)	1	7+ 11- 29-	0  2 -2 7+ 11-  1 -7  1
Curve Equation t Generators 64757f1 [0,-1,1,-16259,-734606] 1 [-28984:17405:512]
64757g (1 curve)	1	7+ 11- 29-	2  3 -2 7+ 11- -4  2  3
Curve Equation t Generators 64757g1 [0,0,1,24389,5127787] 1 [2798151088530:58826730737593:9024895368]
64757h (2 curves)	1	7- 11- 29+	0 -1  0 7- 11-  2 -6  7
Curve Equation t Generators 64757h1 [0,-1,1,-53263,7147246] 1 [1994:24385:8] 64757h2 [0,-1,1,434517,-110188233] 1 [15450:-712331:8]
64757i (3 curves)	1	7- 11- 29+	0 -1  3 7- 11- -4  6 -2
Curve Equation t Generators 64757i1 [0,-1,1,-75129,7951242] 1 [1530:5883:8] 64757i2 [0,-1,1,-41489,15053487] 1 [1025:32378:1] 64757i3 [0,-1,1,370601,-389412848] 1 [125080:-3917861:125]

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