Cremona's table of elliptic curves

31552 = 2⁶ · 17 · 29

Class	r	Atkin-Lehner	Eigenvalues
31552a (1 curve)	1	2+ 17+ 29+	2+ -1  3 -2  1  3 17+ -4
Curve Equation t Generators 31552a1 [0,-1,0,511,7681] 1 [15:136:1]
31552b (1 curve)	1	2+ 17+ 29+	2+  2  0  1  4  3 17+ -1
Curve Equation t Generators 31552b1 [0,-1,0,221887,-43065535] 1 [15401150439018432577:-682441286950657431648:8291346927327199]
31552c (1 curve)	1	2+ 17+ 29+	2+  2 -4 -1  4 -1 17+  1
Curve Equation t Generators 31552c1 [0,-1,0,-65,-319] 1 [67:540:1]
31552d (1 curve)	1	2+ 17+ 29+	2+ -2  0  3  4  3 17+  5
Curve Equation t Generators 31552d1 [0,1,0,-399873,104703199] 1 [9645:945292:1]
31552e (1 curve)	0	2+ 17- 29+	2+  1 -1 -2 -1 -5 17-  4
Curve Equation t 31552e1 [0,1,0,-666081,-209459329] 1
31552f (1 curve)	0	2+ 17- 29+	2+  1  3  2 -1  7 17-  4
Curve Equation t 31552f1 [0,1,0,-4,34] 1
31552g (1 curve)	0	2+ 17- 29+	2+ -1  3 -2  1  7 17- -4
Curve Equation t 31552g1 [0,-1,0,-4,-34] 1
31552h (2 curves)	0	2+ 17- 29+	2+ -2  2 -2  2 -2 17-  4
Curve Equation t 31552h1 [0,1,0,-17697,880447] 2 31552h2 [0,1,0,2783,2817855] 2
31552i (1 curve)	0	2+ 17- 29+	2+  3 -1 -2 -3 -1 17-  4
Curve Equation t 31552i1 [0,0,0,-3628,106544] 1
31552j (1 curve)	1	2+ 17- 29-	2+  0  2 -1  0  1 17-  7
Curve Equation t Generators 31552j1 [0,0,0,-44,8752] 1 [36:232:1]
31552k (1 curve)	1	2+ 17- 29-	2+  0  2 -5  0 -7 17- -5
Curve Equation t Generators 31552k1 [0,0,0,-495404,409470512] 1 [916:26912:1]
31552l (2 curves)	1	2+ 17- 29-	2+  2  0  5  0 -5 17-  1
Curve Equation t Generators 31552l1 [0,-1,0,607,-17887] 1 [19:12:1] 31552l2 [0,-1,0,-37473,-2782495] 1 [78869:288084:343]
31552m (1 curve)	0	2- 17+ 29+	2-  1  3  2 -1  3 17+  4
Curve Equation t 31552m1 [0,1,0,511,-7681] 1
31552n (1 curve)	0	2- 17+ 29+	2-  2  0 -3 -4  3 17+ -5
Curve Equation t 31552n1 [0,-1,0,-399873,-104703199] 1
31552o (1 curve)	0	2- 17+ 29+	2- -2  0 -1 -4  3 17+  1
Curve Equation t 31552o1 [0,1,0,221887,43065535] 1
31552p (1 curve)	2	2- 17+ 29+	2- -2 -4  1 -4 -1 17+ -1
Curve Equation t Generators 31552p1 [0,1,0,-65,319] 1 [-9:16:1]&[7:16:1]
31552q (1 curve)	1	2- 17- 29+	2- -1 -1  2  1 -5 17- -4
Curve Equation t Generators 31552q1 [0,-1,0,-666081,209459329] 1 [525:2048:1]
31552r (2 curves)	1	2- 17- 29+	2-  2  2  2 -2 -2 17- -4
Curve Equation t Generators 31552r1 [0,-1,0,-17697,-880447] 2 [-152616063:208712188:1860867] 31552r2 [0,-1,0,2783,-2817855] 2 [13589527276642929:-153145099831313980:71220503056851]
31552s (1 curve)	1	2- 17- 29+	2- -3 -1  2  3 -1 17- -4
Curve Equation t Generators 31552s1 [0,0,0,-3628,-106544] 1 [90:544:1]
31552t (1 curve)	0	2- 17- 29-	2-  0  2  1  0  1 17- -7
Curve Equation t 31552t1 [0,0,0,-44,-8752] 1
31552u (1 curve)	0	2- 17- 29-	2-  0  2  5  0 -7 17-  5
Curve Equation t 31552u1 [0,0,0,-495404,-409470512] 1
31552v (2 curves)	2	2- 17- 29-	2- -2  0 -5  0 -5 17- -1
Curve Equation t Generators 31552v1 [0,1,0,607,17887] 1 [103:-1088:1]&[1:136:1] 31552v2 [0,1,0,-37473,2782495] 1 [13755:7424:125]&[117:116:1]

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