Cremona's table of elliptic curves

83582 = 2 · 23² · 79

Class	r	Atkin-Lehner	Eigenvalues
83582a (2 curves)	0	2+ 23- 79+	2+  0  0  0  0 -2  4  0
Curve Equation t 83582a1 [1,-1,0,543713,-1296857907] 2 83582a2 [1,-1,0,-15030047,-21477336115] 2
83582b (1 curve)	0	2+ 23- 79+	2+  0  1  4  4 -5  6  6
Curve Equation t 83582b1 [1,-1,0,227371,-25601079] 1
83582c (2 curves)	2	2+ 23- 79+	2+  0  2  0 -2  2 -6 -6
Curve Equation t Generators 83582c1 [1,-1,0,-28136,-1400916] 2 [-130:282:1]&[260:2838:1] 83582c2 [1,-1,0,-149806,21156702] 2 [87:2919:1]&[12037:1313884:1]
83582d (3 curves)	2	2+ 23- 79+	2+  1 -3  1  0  5  0 -2
Curve Equation t Generators 83582d1 [1,0,1,-24610,-1487960] 1 [-91:47:1]&[182:173:1] 83582d2 [1,0,1,-43125,1030080] 1 [-117:2174:1]&[-21:1398:1] 83582d3 [1,0,1,-2759540,1764192370] 1 [964:-218:1]&[119645:-48877:125]
83582e (1 curve)	0	2+ 23- 79+	2+ -3  1  1  4 -5  0  0
Curve Equation t 83582e1 [1,-1,0,-116479,-15264419] 1
83582f (2 curves)	1	2+ 23- 79-	2+  0  0  0  0 -2 -4  0
Curve Equation t Generators 83582f1 [1,-1,0,1028,106320] 2 [129:1476:1] 83582f2 [1,-1,0,-28412,1772624] 2 [61:483:1]
83582g (1 curve)	3	2+ 23- 79-	2+  0 -1 -4 -4 -5 -6 -6
Curve Equation t Generators 83582g1 [1,-1,0,430,1992] 1 [6:66:1]&[-26:201:8]&[-1:40:1]
83582h (2 curves)	1	2+ 23- 79-	2+  0 -2  0  2  2  6  6
Curve Equation t Generators 83582h1 [1,-1,0,-53,129] 2 [8:9:1] 83582h2 [1,-1,0,-283,-1665] 2 [31:121:1]
83582i (1 curve)	1	2+ 23- 79-	2+ -1  1  3 -4 -7  4  6
Curve Equation t Generators 83582i1 [1,1,0,-1862,-29912] 1 [59:235:1]
83582j (2 curves)	1	2+ 23- 79-	2+  2  4  0  2  2 -2 -6
Curve Equation t Generators 83582j1 [1,1,0,-103042598,-267527207020] 2 [533496918573217183416948622447406856190126246058218421839018447428635:44422525479658318006932059133965990210372867177765647514059199274334550:35457922487454223182281340508337974335566350191249709234488396281] 83582j2 [1,1,0,-1489784358,-22129511053420] 2 [234461136211124177295045046428941760223662101171013818144967670138214086571420321240900503645291994200443342574437303370931971185634567155:-61524556799490413332199281372556762006402188966914739769475974264427456729103999830835484574254502772504459555612199491988239088609292226042:2655163421593354922096625267406023714247776274223378513713452685415094334901230681316957958654906779421663293979806192917524436178625]
83582k (1 curve)	1	2+ 23- 79-	2+ -2 -3 -2  0  6 -3 -8
Curve Equation t Generators 83582k1 [1,0,1,-805,141360] 1 [-48:288:1]
83582l (1 curve)	1	2- 23- 79+	2-  2 -1  4  2 -2  3  4
Curve Equation t Generators 83582l1 [1,1,1,-42331,3431467] 1 [-345827434524:4428972105311:1888232256]
83582m (1 curve)	1	2- 23- 79+	2- -3  3  3  2 -5 -6  0
Curve Equation t Generators 83582m1 [1,-1,1,-4596,-85161] 1 [121:-1119:1]
83582n (2 curves)	2	2- 23- 79-	2- -1 -1 -3 -2 -1  2  0
Curve Equation t Generators 83582n1 [1,1,1,-222191,-40051275] 1 [-293:210:1]&[-263:660:1] 83582n2 [1,1,1,-12368031,16736019925] 1 [1949:-7216:1]&[135796:391771:64]
83582o (1 curve)	0	2- 23- 79-	2- -1  3  5  6  1  6  2
Curve Equation t 83582o1 [1,1,1,-141254,13465539] 1
83582p (1 curve)	0	2- 23- 79-	2-  2  1 -4 -2 -2 -3 -4
Curve Equation t 83582p1 [1,1,1,-80,-317] 1
83582q (2 curves)	0	2- 23- 79-	2-  2  2  0  4  2  2  0
Curve Equation t 83582q1 [1,1,1,518,-9149] 2 83582q2 [1,1,1,-4772,-110717] 2

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