Cremona's table of elliptic curves

6006 = 2 · 3 · 7 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
6006a (2 curves)	1	2+ 3+ 7+ 11+ 13+	2+ 3+  0 7+ 11+ 13+ -4  0
Curve Equation t Generators 6006a1 [1,1,0,-9100,-401408] 2 [139:952:1] 6006a2 [1,1,0,-153160,-23134076] 2 [4718:320600:1]
6006b (2 curves)	1	2+ 3+ 7+ 11+ 13+	2+ 3+  0 7+ 11+ 13+  6  0
Curve Equation t Generators 6006b1 [1,1,0,-2258230,680937556] 2 [-192762135:10214590876:226981] 6006b2 [1,1,0,-31094070,66697709652] 2 [-3241:366919:1]
6006c (2 curves)	1	2+ 3+ 7+ 11+ 13+	2+ 3+ -4 7+ 11+ 13+  2 -4
Curve Equation t Generators 6006c1 [1,1,0,-2537,-50235] 2 [-29:15:1] 6006c2 [1,1,0,-2977,-32195] 2 [-29:190:1]
6006d (4 curves)	0	2+ 3+ 7+ 11- 13+	2+ 3+  2 7+ 11- 13+ -2  0
Curve Equation t 6006d1 [1,1,0,-5694,-167772] 2 6006d2 [1,1,0,-5714,-166560] 4 6006d3 [1,1,0,-11104,190258] 2 6006d4 [1,1,0,-644,-445410] 2
6006e (2 curves)	1	2+ 3+ 7+ 11- 13-	2+ 3+ -4 7+ 11- 13- -6  4
Curve Equation t Generators 6006e1 [1,1,0,378,0] 2 [14:84:1] 6006e2 [1,1,0,-1512,-1890] 2 [-37:90:1]
6006f (2 curves)	0	2+ 3+ 7- 11+ 13+	2+ 3+  4 7- 11+ 13+  4  0
Curve Equation t 6006f1 [1,1,0,-423,-15435] 2 6006f2 [1,1,0,-12183,-521115] 2
6006g (4 curves)	1	2+ 3+ 7- 11- 13+	2+ 3+  2 7- 11- 13+  2 -4
Curve Equation t Generators 6006g1 [1,1,0,-55764,5045328] 2 [161:442:1] 6006g2 [1,1,0,-56084,4984080] 4 [-23:2514:1] 6006g3 [1,1,0,-124124,-9562872] 2 [451:4917:1] 6006g4 [1,1,0,6836,15617560] 2 [65:4010:1]
6006h (4 curves)	1	2+ 3+ 7- 11- 13+	2+ 3+ -2 7- 11- 13+  2  4
Curve Equation t Generators 6006h1 [1,1,0,1859,467005] 2 [-21:658:1] 6006h2 [1,1,0,-80061,8413245] 4 [-157:4219:1] 6006h3 [1,1,0,-201021,-23205699] 2 [1109:32902:1] 6006h4 [1,1,0,-1269821,550229949] 2 [-625:33482:1]
6006i (4 curves)	1	2+ 3+ 7- 11- 13+	2+ 3+ -2 7- 11- 13+ -2  0
Curve Equation t Generators 6006i1 [1,1,0,-23051,-1355715] 2 [-89:72:1] 6006i2 [1,1,0,-28171,-715715] 4 [-143:715:1] 6006i3 [1,1,0,-241131,44985501] 2 [11:6501:1] 6006i4 [1,1,0,102869,-5354531] 2 [81:1835:1]
6006j (2 curves)	0	2+ 3- 7+ 11+ 13+	2+ 3- -2 7+ 11+ 13+ -4 -2
Curve Equation t 6006j1 [1,0,1,1063,-36760] 2 6006j2 [1,0,1,-12247,-468004] 2
6006k (2 curves)	1	2+ 3- 7+ 11+ 13-	2+ 3-  0 7+ 11+ 13-  0  2
Curve Equation t Generators 6006k1 [1,0,1,104,-1690] 2 [10:14:1] 6006k2 [1,0,1,-1656,-24218] 2 [-28:33:1]
6006l (4 curves)	1	2+ 3- 7+ 11- 13+	2+ 3- -2 7+ 11- 13+  2  4
Curve Equation t Generators 6006l1 [1,0,1,-1992,56086] 2 [-7:267:1] 6006l2 [1,0,1,-37272,2765590] 4 [74:606:1] 6006l3 [1,0,1,-42732,1900726] 2 [46:158:1] 6006l4 [1,0,1,-596292,177179830] 2 [448:-142:1]
6006m (4 curves)	0	2+ 3- 7+ 11- 13-	2+ 3- -2 7+ 11- 13-  6 -4
Curve Equation t 6006m1 [1,0,1,-55567,-3058366] 2 6006m2 [1,0,1,-383247,89085250] 4 6006m3 [1,0,1,-6090767,5785190210] 4 6006m4 [1,0,1,81393,291482434] 2
6006n (2 curves)	1	2+ 3- 7- 11+ 13+	2+ 3-  2 7- 11+ 13+ -4 -2
Curve Equation t Generators 6006n1 [1,0,1,10,-184] 2 [14:45:1] 6006n2 [1,0,1,-430,-3352] 2 [-12:16:1]
6006o (4 curves)	0	2+ 3- 7- 11+ 13-	2+ 3-  0 7- 11+ 13-  6 -4
Curve Equation t 6006o1 [1,0,1,-309011326,2090760854000] 6 6006o2 [1,0,1,-309013086,2090735846512] 6 6006o3 [1,0,1,-309623821,2082056315144] 2 6006o4 [1,0,1,-527694861,-1230791696120] 2
6006p (4 curves)	0	2+ 3- 7- 11+ 13-	2+ 3-  0 7- 11+ 13- -6  8
Curve Equation t 6006p1 [1,0,1,-2516,48350] 6 6006p2 [1,0,1,-2626,43862] 6 6006p3 [1,0,1,-4511,-38926] 2 6006p4 [1,0,1,-57751,-5341630] 2
6006q (4 curves)	1	2+ 3- 7- 11- 13-	2+ 3-  0 7- 11- 13-  6 -4
Curve Equation t Generators 6006q1 [1,0,1,-3601,78884] 6 [12:187:1] 6006q2 [1,0,1,-56841,5211220] 6 [-256:1860:1] 6006q3 [1,0,1,-48976,-4155874] 2 [-126:199:1] 6006q4 [1,0,1,-77136,1160734] 2 [-208:2970:1]
6006r (4 curves)	1	2+ 3- 7- 11- 13-	2+ 3-  0 7- 11- 13- -6 -4
Curve Equation t Generators 6006r1 [1,0,1,234,1972] 6 [7:59:1] 6006r2 [1,0,1,-1656,20116] 6 [34:41:1] 6006r3 [1,0,1,-2241,-74060] 2 [115:1034:1] 6006r4 [1,0,1,-43401,-3482108] 2 [262:1643:1]
6006s (2 curves)	0	2- 3+ 7+ 11- 13-	2- 3+ -2 7+ 11- 13-  0  4
Curve Equation t 6006s1 [1,1,1,-39,-135] 2 6006s2 [1,1,1,-669,-6939] 2
6006t (2 curves)	1	2- 3+ 7- 11+ 13+	2- 3+  0 7- 11+ 13+ -2  4
Curve Equation t Generators 6006t1 [1,1,1,-53,155] 2 [3:4:1] 6006t2 [1,1,1,-893,9899] 2 [-19:152:1]
6006u (2 curves)	1	2- 3+ 7- 11+ 13+	2- 3+  0 7- 11+ 13+  4 -2
Curve Equation t Generators 6006u1 [1,1,1,-118153,-16577353] 2 [575:10008:1] 6006u2 [1,1,1,-1920393,-1025110857] 2 [-801:456:1]
6006v (2 curves)	0	2- 3+ 7- 11+ 13-	2- 3+  0 7- 11+ 13-  2  4
Curve Equation t 6006v1 [1,1,1,-13,-1] 2 6006v2 [1,1,1,-123,-573] 2
6006w (4 curves)	0	2- 3+ 7- 11+ 13-	2- 3+ -2 7- 11+ 13-  6 -4
Curve Equation t 6006w1 [1,1,1,176,545] 4 6006w2 [1,1,1,-804,3681] 4 6006w3 [1,1,1,-6474,-200439] 2 6006w4 [1,1,1,-10814,428105] 2
6006x (2 curves)	0	2- 3+ 7- 11+ 13-	2- 3+  4 7- 11+ 13-  6  8
Curve Equation t 6006x1 [1,1,1,-2387006,-201613189] 2 6006x2 [1,1,1,-28155166,-57406928389] 2
6006y (2 curves)	1	2- 3+ 7- 11- 13-	2- 3+  0 7- 11- 13-  0 -8
Curve Equation t Generators 6006y1 [1,1,1,27742,-2786785] 2 [95:799:1] 6006y2 [1,1,1,-210398,-30030001] 2 [-199:2101:1]
6006z (2 curves)	1	2- 3+ 7- 11- 13-	2- 3+  0 7- 11- 13- -6  4
Curve Equation t Generators 6006z1 [1,1,1,-123,393] 2 [3:6:1] 6006z2 [1,1,1,-1883,30665] 2 [15:70:1]
6006ba (2 curves)	1	2- 3- 7+ 11+ 13+	2- 3- -4 7+ 11+ 13+  2  0
Curve Equation t Generators 6006ba1 [1,0,0,-930,-4284] 2 [-12:78:1] 6006ba2 [1,0,0,-7970,270276] 2 [-32:718:1]
6006bb (4 curves)	0	2- 3- 7+ 11+ 13-	2- 3-  2 7+ 11+ 13-  6 -4
Curve Equation t 6006bb1 [1,0,0,98,452] 4 6006bb2 [1,0,0,-622,4340] 4 6006bb3 [1,0,0,-3562,-78568] 2 6006bb4 [1,0,0,-9202,338960] 2
6006bc (2 curves)	1	2- 3- 7+ 11- 13-	2- 3- -2 7+ 11- 13-  0 -4
Curve Equation t Generators 6006bc1 [1,0,0,-669,6705] 2 [18:-33:1] 6006bc2 [1,0,0,-10749,428049] 2 [24:417:1]
6006bd (6 curves)	1	2- 3- 7+ 11- 13-	2- 3- -2 7+ 11- 13- -6 -4
Curve Equation t Generators 6006bd1 [1,0,0,83616,-29981952] 8 [246:2220:1] 6006bd2 [1,0,0,-1087664,-397529616] 8 [-536:5884:1] 6006bd3 [1,0,0,-16965284,-26897277396] 4 [49372:10906234:1] 6006bd4 [1,0,0,-3950524,2583852788] 4 [1544:12098:1] 6006bd5 [1,0,0,-271443794,-1721367884082] 2 [404102:85009439:8] 6006bd6 [1,0,0,-16528694,-28347018150] 2 [3159700:698021845:64]
6006be (2 curves)	1	2- 3- 7- 11+ 13-	2- 3- -2 7- 11+ 13-  0 -6
Curve Equation t Generators 6006be1 [1,0,0,241,-1671] 2 [10:37:1] 6006be2 [1,0,0,-1519,-16807] 2 [-28:77:1]
6006bf (4 curves)	1	2- 3- 7- 11- 13+	2- 3- -2 7- 11- 13+ -2 -4
Curve Equation t Generators 6006bf1 [1,0,0,-32899,-1696447] 2 [-124:755:1] 6006bf2 [1,0,0,-187779,29930049] 4 [-186:7737:1] 6006bf3 [1,0,0,-2967699,1967534289] 2 [1008:231:1] 6006bf4 [1,0,0,114061,117041073] 2 [-32:10663:1]

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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