Cremona's table of elliptic curves

5568 = 2⁶ · 3 · 29

Class	r	Atkin-Lehner	Eigenvalues
5568a (1 curve)	1	2+ 3+ 29+	2+ 3+  0 -5  5 -1 -3  4
Curve Equation t Generators 5568a1 [0,-1,0,47,25] 1 [0:5:1]
5568b (2 curves)	1	2+ 3+ 29+	2+ 3+  1  1  2  0 -3  1
Curve Equation t Generators 5568b1 [0,-1,0,-65,70209] 1 [81:768:1] 5568b2 [0,-1,0,-416705,-103700031] 1 [1268295:75847584:343]
5568c (1 curve)	1	2+ 3+ 29+	2+ 3+ -2  1 -1  3 -3 -2
Curve Equation t Generators 5568c1 [0,-1,0,-9,-15] 1 [8:19:1]
5568d (1 curve)	0	2+ 3+ 29-	2+ 3+  2 -1  3  7  3  6
Curve Equation t 5568d1 [0,-1,0,-17,57] 1
5568e (4 curves)	0	2+ 3+ 29-	2+ 3+ -2  0  4 -6 -2 -4
Curve Equation t 5568e1 [0,-1,0,31,-927] 2 5568e2 [0,-1,0,-1249,-16031] 4 5568e3 [0,-1,0,-19809,-1066527] 2 5568e4 [0,-1,0,-3169,47329] 4
5568f (1 curve)	0	2+ 3+ 29-	2+ 3+  3  1  2 -4  7 -7
Curve Equation t 5568f1 [0,-1,0,31,-159] 1
5568g (2 curves)	0	2+ 3+ 29-	2+ 3+  3  5 -6  4  3  1
Curve Equation t 5568g1 [0,-1,0,-493089,628457121] 1 5568g2 [0,-1,0,4405791,-16291294623] 1
5568h (1 curve)	0	2+ 3+ 29-	2+ 3+  4 -3  1  3 -5 -4
Curve Equation t 5568h1 [0,-1,0,-201,1233] 1
5568i (1 curve)	0	2+ 3- 29+	2+ 3-  0 -3  3  3  1  4
Curve Equation t 5568i1 [0,1,0,7,15] 1
5568j (1 curve)	0	2+ 3- 29+	2+ 3-  2  3  5 -1 -7 -2
Curve Equation t 5568j1 [0,1,0,223,-11097] 1
5568k (1 curve)	0	2+ 3- 29+	2+ 3- -3 -3 -6  0  7 -5
Curve Equation t 5568k1 [0,1,0,-3617,-87489] 1
5568l (1 curve)	1	2+ 3- 29-	2+ 3-  0 -1  3 -1 -1  0
Curve Equation t Generators 5568l1 [0,1,0,-353,2439] 1 [10:3:1]
5568m (1 curve)	1	2+ 3- 29-	2+ 3- -1  1 -6  4 -7  3
Curve Equation t Generators 5568m1 [0,1,0,-321,-2529] 1 [27:96:1]
5568n (1 curve)	1	2+ 3- 29-	2+ 3- -1 -3  2 -4  5 -5
Curve Equation t Generators 5568n1 [0,1,0,-23681,1395423] 1 [283:4176:1]
5568o (1 curve)	1	2+ 3- 29-	2+ 3-  2  1 -3 -5 -1 -6
Curve Equation t Generators 5568o1 [0,1,0,-377,31407] 1 [34:243:1]
5568p (1 curve)	1	2+ 3- 29-	2+ 3- -4  3 -1 -1 -1  4
Curve Equation t Generators 5568p1 [0,1,0,-145,-841] 1 [58:435:1]
5568q (1 curve)	0	2- 3+ 29+	2- 3+  0  3 -3  3  1 -4
Curve Equation t 5568q1 [0,-1,0,7,-15] 1
5568r (1 curve)	0	2- 3+ 29+	2- 3+  1 -1  6 -4  3  1
Curve Equation t 5568r1 [0,-1,0,95,-671] 1
5568s (1 curve)	0	2- 3+ 29+	2- 3+  2 -3 -5 -1 -7  2
Curve Equation t 5568s1 [0,-1,0,223,11097] 1
5568t (1 curve)	0	2- 3+ 29+	2- 3+ -3  3  6  0  7  5
Curve Equation t 5568t1 [0,-1,0,-3617,87489] 1
5568u (1 curve)	1	2- 3+ 29-	2- 3+  0  1 -3 -1 -1  0
Curve Equation t Generators 5568u1 [0,-1,0,-353,-2439] 1 [400:7981:1]
5568v (1 curve)	1	2- 3+ 29-	2- 3+ -1 -1  6  4 -7 -3
Curve Equation t Generators 5568v1 [0,-1,0,-321,2529] 1 [5:32:1]
5568w (1 curve)	1	2- 3+ 29-	2- 3+ -1  3 -2 -4  5  5
Curve Equation t Generators 5568w1 [0,-1,0,-23681,-1395423] 1 [181:464:1]
5568x (1 curve)	1	2- 3+ 29-	2- 3+  2 -1  3 -5 -1  6
Curve Equation t Generators 5568x1 [0,-1,0,-377,-31407] 1 [7576:659371:1]
5568y (4 curves)	1	2- 3+ 29-	2- 3+ -2  0 -4  2  6 -4
Curve Equation t Generators 5568y1 [0,-1,0,-1044,13338] 2 [202:395:8] 5568y2 [0,-1,0,-1049,13209] 4 [-8:145:1] 5568y3 [0,-1,0,-2209,-19967] 2 [-16:105:1] 5568y4 [0,-1,0,31,38049] 4 [67:580:1]
5568z (1 curve)	1	2- 3+ 29-	2- 3+ -4 -3  1 -1 -1 -4
Curve Equation t Generators 5568z1 [0,-1,0,-145,841] 1 [0:29:1]
5568ba (1 curve)	1	2- 3- 29+	2- 3-  0  5 -5 -1 -3 -4
Curve Equation t Generators 5568ba1 [0,1,0,47,-25] 1 [2:9:1]
5568bb (1 curve)	1	2- 3- 29+	2- 3-  1  1 -6 -4  3 -1
Curve Equation t Generators 5568bb1 [0,1,0,95,671] 1 [-1:24:1]
5568bc (2 curves)	1	2- 3- 29+	2- 3-  1 -1 -2  0 -3 -1
Curve Equation t Generators 5568bc1 [0,1,0,-65,-70209] 1 [175:2304:1] 5568bc2 [0,1,0,-416705,103700031] 1 [399:1056:1]
5568bd (1 curve)	1	2- 3- 29+	2- 3- -2 -1  1  3 -3  2
Curve Equation t Generators 5568bd1 [0,1,0,-9,15] 1 [2:3:1]
5568be (1 curve)	0	2- 3- 29-	2- 3-  2  1 -3  7  3 -6
Curve Equation t 5568be1 [0,1,0,-17,-57] 1
5568bf (4 curves)	0	2- 3- 29-	2- 3- -2  0  4  2  6  4
Curve Equation t 5568bf1 [0,1,0,-1044,-13338] 2 5568bf2 [0,1,0,-1049,-13209] 4 5568bf3 [0,1,0,-2209,19967] 4 5568bf4 [0,1,0,31,-38049] 2
5568bg (4 curves)	0	2- 3- 29-	2- 3- -2  0 -4 -6 -2  4
Curve Equation t 5568bg1 [0,1,0,31,927] 2 5568bg2 [0,1,0,-1249,16031] 4 5568bg3 [0,1,0,-3169,-47329] 2 5568bg4 [0,1,0,-19809,1066527] 4
5568bh (1 curve)	0	2- 3- 29-	2- 3-  3 -1 -2 -4  7  7
Curve Equation t 5568bh1 [0,1,0,31,159] 1
5568bi (2 curves)	0	2- 3- 29-	2- 3-  3 -5  6  4  3 -1
Curve Equation t 5568bi1 [0,1,0,-493089,-628457121] 1 5568bi2 [0,1,0,4405791,16291294623] 1
5568bj (1 curve)	0	2- 3- 29-	2- 3-  4  3 -1  3 -5  4
Curve Equation t 5568bj1 [0,1,0,-201,-1233] 1

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