Cremona's table of elliptic curves

5586 = 2 · 3 · 7² · 19

Class	r	Atkin-Lehner	Eigenvalues
5586a (6 curves)	0	2+ 3+ 7- 19+	2+ 3+  0 7-  6  4  0 19+
Curve Equation t 5586a1 [1,1,0,-382225,-91114043] 2 5586a2 [1,1,0,-389085,-87682671] 2 5586a3 [1,1,0,-547600,-5022464] 2 5586a4 [1,1,0,-5925840,5531337792] 2 5586a5 [1,1,0,-29971855,63143671333] 2 5586a6 [1,1,0,-479548815,4041809851941] 2
5586b (1 curve)	0	2+ 3+ 7- 19+	2+ 3+ -1 7- -5  4 -2 19+
Curve Equation t 5586b1 [1,1,0,-1195106203,-15902721896291] 1
5586c (1 curve)	2	2+ 3+ 7- 19+	2+ 3+ -1 7- -5 -6 -2 19+
Curve Equation t Generators 5586c1 [1,1,0,17,1] 1 [0:1:1]&[1:4:1]
5586d (2 curves)	0	2+ 3+ 7- 19+	2+ 3+  2 7- -2 -2  4 19+
Curve Equation t 5586d1 [1,1,0,-4484,-116388] 2 5586d2 [1,1,0,-1054,-285830] 2
5586e (2 curves)	0	2+ 3+ 7- 19+	2+ 3+  3 7-  3  4 -6 19+
Curve Equation t 5586e1 [1,1,0,94,-1182] 1 5586e2 [1,1,0,-851,34917] 1
5586f (2 curves)	2	2+ 3+ 7- 19+	2+ 3+ -4 7- -2  0 -8 19+
Curve Equation t Generators 5586f1 [1,1,0,-1887,27525] 2 [-34:249:1]&[-1:172:1] 5586f2 [1,1,0,-29327,1920885] 2 [-134:1929:1]&[734:-19771:1]
5586g (2 curves)	1	2+ 3+ 7- 19-	2+ 3+  0 7-  0  0  4 19-
Curve Equation t Generators 5586g1 [1,1,0,325,-2211] 2 [13:60:1] 5586g2 [1,1,0,-1915,-23267] 2 [-18:85:1]
5586h (1 curve)	1	2+ 3+ 7- 19-	2+ 3+  1 7-  3  4  4 19-
Curve Equation t Generators 5586h1 [1,1,0,65313,-5122683] 1 [101:1536:1]
5586i (1 curve)	1	2+ 3+ 7- 19-	2+ 3+ -1 7- -1 -4  2 19-
Curve Equation t Generators 5586i1 [1,1,0,-53,141] 1 [1:9:1]
5586j (4 curves)	1	2+ 3+ 7- 19-	2+ 3+  2 7- -4  2  2 19-
Curve Equation t Generators 5586j1 [1,1,0,-7914,155268] 2 [104:634:1] 5586j2 [1,1,0,-55934,-5002080] 4 [447:7494:1] 5586j3 [1,1,0,-889424,-323228562] 2 [174945:4198827:125] 5586j4 [1,1,0,9236,-15885470] 2 [309105:5699600:729]
5586k (4 curves)	1	2+ 3+ 7- 19-	2+ 3+ -2 7-  0 -2 -2 19-
Curve Equation t Generators 5586k1 [1,1,0,-3896,73536] 2 [55:144:1] 5586k2 [1,1,0,-19576,-995840] 4 [-83:298:1] 5586k3 [1,1,0,-307696,-65822840] 2 [671:5177:1] 5586k4 [1,1,0,17664,-4295304] 2 [309:5394:1]
5586l (1 curve)	0	2+ 3- 7+ 19+	2+ 3-  1 7+ -1  4 -2 19+
Curve Equation t 5586l1 [1,0,1,-2623,-56206] 1
5586m (1 curve)	0	2+ 3- 7+ 19+	2+ 3- -1 7+  3 -4 -4 19+
Curve Equation t 5586m1 [1,0,1,3200311,1766681228] 1
5586n (1 curve)	1	2+ 3- 7+ 19-	2+ 3-  1 7+ -5 -4  2 19-
Curve Equation t Generators 5586n1 [1,0,1,-24389923,46360136414] 1 [2854:-1171:1]
5586o (1 curve)	1	2+ 3- 7+ 19-	2+ 3-  1 7+ -5  6  2 19-
Curve Equation t Generators 5586o1 [1,0,1,807,2104] 1 [53:-468:1]
5586p (2 curves)	1	2+ 3- 7+ 19-	2+ 3- -3 7+  3 -4  6 19-
Curve Equation t Generators 5586p1 [1,0,1,4580,419192] 3 [-50:281:1] 5586p2 [1,0,1,-41725,-12101680] 1 [298:1247:1]
5586q (2 curves)	1	2+ 3- 7- 19+	2+ 3-  0 7-  0  0 -4 19+
Curve Equation t Generators 5586q1 [1,0,1,15899,806096] 2 [19:1046:1] 5586q2 [1,0,1,-93861,7699024] 2 [-181:4422:1]
5586r (2 curves)	1	2+ 3- 7- 19+	2+ 3-  0 7-  4  0  2 19+
Curve Equation t Generators 5586r1 [1,0,1,-4681,122840] 2 [25:134:1] 5586r2 [1,0,1,-4191,149692] 2 [32:204:1]
5586s (2 curves)	0	2+ 3- 7- 19-	2+ 3-  0 7-  2  4  0 19-
Curve Equation t 5586s1 [1,0,1,-516,-2894] 2 5586s2 [1,0,1,-7376,-244366] 2
5586t (1 curve)	1	2- 3+ 7+ 19-	2- 3+  1 7+ -1 -6  2 19-
Curve Equation t Generators 5586t1 [1,1,1,-437865,111357399] 1 [703:11960:1]
5586u (4 curves)	1	2- 3+ 7- 19+	2- 3+  0 7-  0  4 -6 19+
Curve Equation t Generators 5586u1 [1,1,1,-393,-393] 2 [-15:56:1] 5586u2 [1,1,1,1567,-1177] 2 [13:140:1] 5586u3 [1,1,1,-20973,1160319] 2 [27:770:1] 5586u4 [1,1,1,-20483,1217747] 2 [230:6349:8]
5586v (2 curves)	1	2- 3+ 7- 19+	2- 3+  2 7- -2 -2  2 19+
Curve Equation t Generators 5586v1 [1,1,1,3723,-5314149] 2 [183:1148:1] 5586v2 [1,1,1,-435317,-108400741] 2 [-421:896:1]
5586w (4 curves)	1	2- 3+ 7- 19+	2- 3+ -2 7-  0 -2  2 19+
Curve Equation t Generators 5586w1 [1,1,1,146,5291] 4 [-11:55:1] 5586w2 [1,1,1,-3774,83691] 4 [-57:371:1] 5586w3 [1,1,1,-10634,-316933] 2 [-71:329:1] 5586w4 [1,1,1,-59634,5580315] 2 [141:-63:1]
5586x (2 curves)	0	2- 3+ 7- 19-	2- 3+  4 7- -6  4  4 19-
Curve Equation t 5586x1 [1,1,1,-49736,-4015159] 2 5586x2 [1,1,1,-159496,19693001] 2
5586y (1 curve)	0	2- 3- 7- 19+	2- 3- -1 7- -1  6 -2 19+
Curve Equation t 5586y1 [1,0,0,-21455386,-38259954076] 1
5586z (2 curves)	0	2- 3- 7- 19+	2- 3-  2 7-  2  6  4 19+
Curve Equation t 5586z1 [1,0,0,-17347,700097] 2 5586z2 [1,0,0,37533,4245345] 2
5586ba (2 curves)	1	2- 3- 7- 19-	2- 3- -2 7- -2  2 -2 19-
Curve Equation t Generators 5586ba1 [1,0,0,76,15504] 2 [40:-308:1] 5586ba2 [1,0,0,-8884,314768] 2 [176:-2140:1]
5586bb (4 curves)	1	2- 3- 7- 19-	2- 3- -2 7- -4 -2  6 19-
Curve Equation t Generators 5586bb1 [1,0,0,-17249,782025] 2 [-38:1195:1] 5586bb2 [1,0,0,-268129,53416649] 4 [410:-3733:1] 5586bb3 [1,0,0,-4290049,3419763689] 2 [1196:-583:1] 5586bb4 [1,0,0,-260289,56689065] 2 [558:-9513:1]

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