Cremona's table of elliptic curves

74727 = 3² · 19² · 23

Class	r	Atkin-Lehner	Eigenvalues
74727a (1 curve)	1	3+ 19+ 23+	1 3+ -4  3  4  1 -6 19+
Curve Equation t Generators 74727a1 [1,-1,0,-609,-5996] 1 [164:1988:1]
74727b (1 curve)	0	3+ 19+ 23-	-1 3+  4  3 -4  1  6 19+
Curve Equation t 74727b1 [1,-1,1,-5483,167374] 1
74727c (1 curve)	0	3+ 19- 23+	-1 3+ -4  3  4 -1 -6 19-
Curve Equation t 74727c1 [1,-1,1,-219917,42226040] 1
74727d (1 curve)	1	3+ 19- 23-	1 3+  4  3 -4 -1  6 19-
Curve Equation t Generators 74727d1 [1,-1,0,-1979250,-1138123837] 1 [254471101785321058007566071400:21280292707090478900957436779833:34539787417878416296000000]
74727e (1 curve)	2	3- 19+ 23+	0 3- -3 -3 -3  2 -5 19+
Curve Equation t Generators 74727e1 [0,0,1,456,-6408] 1 [114:433:8]&[20:103:1]
74727f (1 curve)	2	3- 19+ 23+	0 3- -3 -3 -3 -2 -5 19+
Curve Equation t Generators 74727f1 [0,0,1,164616,43950757] 1 [-173:3208:1]&[722:61727:8]
74727g (1 curve)	0	3- 19+ 23+	1 3- -1  3  4 -5  3 19+
Curve Equation t 74727g1 [1,-1,0,-24435,-4461458] 1
74727h (1 curve)	2	3- 19+ 23+	2 3- -3  1 -3 -4 -1 19+
Curve Equation t Generators 74727h1 [0,0,1,-144039,-55093203] 1 [4114:20903:8]&[29602:1790195:8]
74727i (1 curve)	2	3- 19+ 23+	-2 3- -3  1 -3  4 -1 19+
Curve Equation t Generators 74727i1 [0,0,1,-399,8032] 1 [38:-219:1]&[19:85:1]
74727j (1 curve)	1	3- 19+ 23-	2 3-  3 -3  3 -2 -3 19+
Curve Equation t Generators 74727j1 [0,0,1,-17841,-938871] 1 [1750166:8028085:10648]
74727k (1 curve)	1	3- 19+ 23-	-2 3-  3 -3  3  2 -3 19+
Curve Equation t Generators 74727k1 [0,0,1,-6440601,6439714474] 1 [-2888:30865:1]
74727l (1 curve)	1	3- 19- 23+	0 3-  1  1  1  0 -5 19-
Curve Equation t Generators 74727l1 [0,0,1,-4585422,9491667678] 1 [3102:158481:1]
74727m (1 curve)	1	3- 19- 23+	0 3-  1 -5  1  0  7 19-
Curve Equation t Generators 74727m1 [0,0,1,60648,19724769] 1 [29545:859298:125]
74727n (1 curve)	1	3- 19- 23+	-1 3- -1  3  4  5  3 19-
Curve Equation t Generators 74727n1 [1,-1,1,-68,668] 1 [9:22:1]
74727o (6 curves)	1	3- 19- 23+	-1 3-  2  0  4  2  6 19-
Curve Equation t Generators 74727o1 [1,-1,1,-18369914,30309208256] 4 [-1451856:-60836768:343] 74727o2 [1,-1,1,-18386159,30252929078] 4 [-52657134072207:-2206062372085823:12438789013] 74727o3 [1,-1,1,-10052474,57794091266] 2 [1715543483007794589841260:459046826122618406807977607:23828102705733004736] 74727o4 [1,-1,1,-26979764,-890295442] 4 [-6185453997796961827101372:-235270093029074296012915115:1379072497605081332032] 74727o5 [1,-1,1,107902471,-7202784040] 2 [171129576511871374285294316587657904272111781495988:-44455504224269760181317381240479769812965572570031967:108732242772818888475135312617263494605366049856] 74727o6 [1,-1,1,-299359679,-1987847299384] 2 [-179381139477916754612687881594991068167529102140:-1200930433121474430573218078889384535042326750283:17754368139517446646711458448076315785630016]
74727p (1 curve)	1	3- 19- 23+	2 3- -1 -3 -5  2 -3 19-
Curve Equation t Generators 74727p1 [0,0,1,-1083,-893385] 1 [1026:8299:8]
74727q (1 curve)	0	3- 19- 23-	0 3- -1  1  3  6  5 19-
Curve Equation t 74727q1 [0,0,1,-1511868,719164435] 1
74727r (2 curves)	0	3- 19- 23-	1 3-  0 -2 -4  6 -4 19-
Curve Equation t 74727r1 [1,-1,0,-1692,-130541] 2 74727r2 [1,-1,0,-50427,-4331498] 2
74727s (1 curve)	0	3- 19- 23-	-2 3-  3  1 -1  0  5 19-
Curve Equation t 74727s1 [0,0,1,57399,152659048] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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