Cremona's table of elliptic curves

6307 = 7 · 17 · 53

Class	r	Atkin-Lehner	Eigenvalues
6307a (2 curves)	1	7+ 17+ 53+	-1  2 -4 7+  4 -6 17+  4
Curve Equation t Generators 6307a1 [1,1,1,-35,16] 2 [-4:12:1] 6307a2 [1,1,1,-300,-2104] 2 [27:88:1]
6307b (2 curves)	0	7+ 17+ 53-	1 -2  0 7+  4  6 17+  2
Curve Equation t 6307b1 [1,0,1,24,-103] 2 6307b2 [1,0,1,-241,-1269] 2
6307c (1 curve)	0	7+ 17+ 53-	-2  1 -3 7+ -2  3 17+  2
Curve Equation t 6307c1 [0,1,1,-341272,-76849860] 1
6307d (1 curve)	2	7+ 17- 53+	1 -1  0 7+ -5 -4 17- -2
Curve Equation t Generators 6307d1 [1,1,0,-7640,253873] 1 [48:1:1]&[72:253:1]
6307e (1 curve)	1	7+ 17- 53-	-1 -1 -2 7+ -5 -2 17-  0
Curve Equation t Generators 6307e1 [1,1,1,-119,450] 1 [6:-3:1]
6307f (1 curve)	1	7+ 17- 53-	2  2 -2 7+ -2  4 17- -3
Curve Equation t Generators 6307f1 [0,-1,1,216,409] 1 [15562:686201:8]
6307g (1 curve)	2	7- 17+ 53+	-1 -1  0 7- -3 -4 17+ -6
Curve Equation t Generators 6307g1 [1,1,1,-18,-20] 1 [-2:4:1]&[10:25:1]

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