Cremona's table of elliptic curves

15317 = 17² · 53

Class	r	Atkin-Lehner	Eigenvalues
15317a (2 curves)	1	17+ 53+	0 -1  3  4 -6  5 17+ -4
Curve Equation t Generators 15317a1 [0,-1,1,-5009,65493] 1 [669:17195:1] 15317a2 [0,-1,1,-201529,-34752938] 1 [5930:119353:8]
15317b (2 curves)	1	17+ 53+	1  2  0 -2  2  6 17+ -4
Curve Equation t Generators 15317b1 [1,1,0,-1000,11763] 2 [-18:165:1] 15317b2 [1,1,0,-1085,9536] 2 [-3990:35249:216]
15317c (2 curves)	1	17+ 53+	1 -2  0  2 -2  6 17+ -4
Curve Equation t Generators 15317c1 [1,0,1,-289151,59815317] 2 [38145:-2027:125] 15317c2 [1,0,1,-313716,49046021] 2 [-110273870:3760324833:343000]
15317d (2 curves)	1	17+ 53+	-1  0  0 -2  6  6 17+  4
Curve Equation t Generators 15317d1 [1,-1,1,-24475,-1177454] 2 [-7480:36782:125] 15317d2 [1,-1,1,52110,-7120450] 2 [516565995:-29112747962:166375]
15317e (1 curve)	1	17+ 53+	-1  0 -3  1  0  3 17+  1
Curve Equation t Generators 15317e1 [1,-1,1,-99904,-339012096] 1 [180720:6205587:125]
15317f (2 curves)	1	17+ 53+	-1 -2  0  4  0  2 17+  0
Curve Equation t Generators 15317f1 [1,0,0,-8553828,9628446295] 2 [-3351:27484:1] 15317f2 [1,0,0,-8630413,9447230868] 2 [-1200447268:-8631354680:357911]
15317g (1 curve)	1	17+ 53+	-1  3  0  4  0 -3 17+ -5
Curve Equation t Generators 15317g1 [1,-1,1,90,1666] 1 [210:1309:27]
15317h (1 curve)	0	17+ 53-	0  3  3  2  4 -3 17+  2
Curve Equation t 15317h1 [0,0,1,-9826,354964] 1
15317i (1 curve)	2	17+ 53-	0 -3 -3 -2 -4 -3 17+  2
Curve Equation t Generators 15317i1 [0,0,1,-34,72] 1 [-2:11:1]&[0:8:1]
15317j (1 curve)	0	17+ 53-	2  3 -1  2  0  1 17+ -4
Curve Equation t 15317j1 [0,0,1,-435523,20680045] 1
15317k (1 curve)	2	17+ 53-	-2  1 -3 -2  0 -7 17+  0
Curve Equation t Generators 15317k1 [0,1,1,-1252,-15930] 1 [-24:29:1]&[45:144:1]

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