Cremona's table of elliptic curves

5478 = 2 · 3 · 11 · 83

Class	r	Atkin-Lehner	Eigenvalues
5478a (2 curves)	0	2+ 3+ 11- 83+	2+ 3+  0  4 11-  0 -6  2
Curve Equation t 5478a1 [1,1,0,-390,1476] 2 5478a2 [1,1,0,1270,12432] 2
5478b (2 curves)	0	2+ 3+ 11- 83+	2+ 3+  4 -2 11- -2  6 -4
Curve Equation t 5478b1 [1,1,0,-128,0] 2 5478b2 [1,1,0,512,640] 2
5478c (2 curves)	0	2+ 3- 11+ 83+	2+ 3-  2 -2 11+  6 -2 -6
Curve Equation t 5478c1 [1,0,1,-63400,4009718] 2 5478c2 [1,0,1,-913320,335818486] 2
5478d (2 curves)	1	2+ 3- 11+ 83-	2+ 3-  2 -4 11+ -6  8  0
Curve Equation t Generators 5478d1 [1,0,1,-2270,-41776] 2 [216:2983:1] 5478d2 [1,0,1,-1790,-59824] 2 [157176:2178415:729]
5478e (4 curves)	1	2+ 3- 11- 83+	2+ 3-  0  2 11-  2 -6 -4
Curve Equation t Generators 5478e1 [1,0,1,-1816,-18670] 6 [-35:65:1] 5478e2 [1,0,1,5474,-129478] 6 [206:1249:8] 5478e3 [1,0,1,-131011,-18262786] 2 [5678:122737:8] 5478e4 [1,0,1,-130651,-18368050] 2 [243417370:5262821579:343000]
5478f (1 curve)	1	2+ 3- 11- 83+	2+ 3- -4  1 11-  3  4 -6
Curve Equation t Generators 5478f1 [1,0,1,-48,2302] 1 [41:-285:1]
5478g (2 curves)	0	2+ 3- 11- 83-	2+ 3-  2  2 11-  6  2 -6
Curve Equation t 5478g1 [1,0,1,-3625,77228] 2 5478g2 [1,0,1,-56745,5197996] 2
5478h (1 curve)	1	2- 3+ 11+ 83-	2- 3+  0 -1 11+  1  4 -6
Curve Equation t Generators 5478h1 [1,1,1,-878,9659] 1 [27:67:1]
5478i (2 curves)	1	2- 3+ 11+ 83-	2- 3+  0  2 11+ -2  0  0
Curve Equation t Generators 5478i1 [1,1,1,-23,29] 2 [-3:10:1] 5478i2 [1,1,1,-83,-283] 2 [-5:8:1]
5478j (2 curves)	1	2- 3+ 11+ 83-	2- 3+  0  2 11+ -2 -8  0
Curve Equation t Generators 5478j1 [1,1,1,-8707129363,-312727191070447] 2 [-2984786799931101927:1460109948696512522:55406562566867] 5478j2 [1,1,1,-139314069523,-20014366171997935] 2 [-57970671161197217286451030134925875:28985207835393353979030358386482230:269011364123746094608190802097]
5478k (2 curves)	1	2- 3+ 11+ 83-	2- 3+  0 -4 11+  4 -2  6
Curve Equation t Generators 5478k1 [1,1,1,-9623,-364627] 2 [-61:34:1] 5478k2 [1,1,1,-2983,-850675] 2 [105:34:1]
5478l (4 curves)	1	2- 3+ 11- 83+	2- 3+ -2  0 11- -6  2  4
Curve Equation t Generators 5478l1 [1,1,1,-649,6071] 4 [-17:120:1] 5478l2 [1,1,1,-969,-969] 4 [-23:110:1] 5478l3 [1,1,1,-10929,-443193] 2 [209:2436:1] 5478l4 [1,1,1,3871,-2905] 2 [21:286:1]
5478m (2 curves)	0	2- 3+ 11- 83-	2- 3+  0 -2 11- -2  6 -4
Curve Equation t 5478m1 [1,1,1,-1538,-23857] 2 5478m2 [1,1,1,-1498,-25105] 2
5478n (2 curves)	1	2- 3- 11+ 83+	2- 3-  2 -4 11+ -2 -4 -8
Curve Equation t Generators 5478n1 [1,0,0,-17,-27] 2 [38:-1:8] 5478n2 [1,0,0,13,-105] 2 [33108:736671:64]
5478o (2 curves)	1	2- 3- 11- 83-	2- 3-  0 -2 11-  0 -2 -4
Curve Equation t Generators 5478o1 [1,0,0,-10667603,13374360993] 2 [-3506:89401:1] 5478o2 [1,0,0,-6258643,24522857249] 2 [-3340:92057:1]
5478p (2 curves)	1	2- 3- 11- 83-	2- 3-  0 -2 11- -6  4 -4
Curve Equation t Generators 5478p1 [1,0,0,-163,-511] 2 [-10:17:1] 5478p2 [1,0,0,-2323,-43279] 2 [-28:17:1]

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