Cremona's table of elliptic curves

77469 = 3 · 7² · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
77469a (1 curve)	1	3+ 7+ 17- 31-	1 3+ -2 7+  3  0 17-  0
Curve Equation t Generators 77469a1 [1,1,0,-41381,3484230] 1 [-78:2538:1]
77469b (2 curves)	0	3+ 7- 17+ 31+	1 3+  2 7-  6 -2 17+  2
Curve Equation t 77469b1 [1,1,0,-1054,-4913] 2 77469b2 [1,1,0,-13549,-612170] 2
77469c (1 curve)	0	3+ 7- 17+ 31+	-2 3+ -4 7- -2 -5 17+  4
Curve Equation t 77469c1 [0,-1,1,-4786630,6016330242] 1
77469d (2 curves)	1	3+ 7- 17+ 31-	1 3+ -2 7- -4  2 17+  8
Curve Equation t Generators 77469d1 [1,1,0,-5346974056,-150493124261381] 2 [1928067955164232083733742155163151885243010957951264040889281472151677623798337650:658957759941791633976627165071500419032541160239824809051655479998466703268632563157:12261931001877499079664195011851876006514394549549936295704207488145239828536] 77469d2 [1,1,0,-5346968911,-150493428352490] 2 [331526090976539543675080268340816199730124970148847420010866263711521826438881636380730970507802447527853520058844537989342191744141083211436737008158153759572562:113306018350599516773777787918841379574534580947234373779948544841768322246849874064713393504257960070889587614425846380187821365578292804998157344121136236731683013:2108406073221583507394016511632167614720869427702443228411385936413256094055038053760004586533507811277929544574122480969681135466937221891829662436888317496]
77469e (2 curves)	1	3+ 7- 17+ 31-	1 3+ -2 7-  6  2 17+ -2
Curve Equation t Generators 77469e1 [1,1,0,-351866,80190279] 2 [274:1971:1] 77469e2 [1,1,0,-351271,80475760] 2 [2206:16195:8]
77469f (2 curves)	1	3+ 7- 17+ 31-	1 3+  4 7-  0  2 17+ -2
Curve Equation t Generators 77469f1 [1,1,0,-13983,32040] 2 [-610:6815:8] 77469f2 [1,1,0,-158568,24177735] 2 [584710:11187751:1000]
77469g (1 curve)	1	3+ 7- 17+ 31-	2 3+  0 7-  6 -5 17+  4
Curve Equation t Generators 77469g1 [0,-1,1,-3348,84125] 1 [2756:8543:64]
77469h (1 curve)	1	3+ 7- 17+ 31-	-2 3+  1 7-  0  5 17+ -2
Curve Equation t Generators 77469h1 [0,-1,1,-450,5984] 1 [44:263:1]
77469i (1 curve)	1	3+ 7- 17+ 31-	-2 3+ -2 7-  0 -1 17+ -2
Curve Equation t Generators 77469i1 [0,-1,1,26,9876] 1 [12:-109:1]
77469j (1 curve)	1	3+ 7- 17- 31+	1 3+  2 7-  1  4 17-  4
Curve Equation t Generators 77469j1 [1,1,0,9461091,8703185310] 1 [-988384607667111572182762:40490764906823993871835466:1284653000186515221731]
77469k (2 curves)	1	3+ 7- 17- 31+	1 3+ -2 7-  0  4 17-  0
Curve Equation t Generators 77469k1 [1,1,0,4434,-26865] 2 [1140:14865:64] 77469k2 [1,1,0,-18351,-241044] 2 [-56090:812731:1000]
77469l (4 curves)	1	3+ 7- 17- 31+	-1 3+ -2 7-  0  6 17-  0
Curve Equation t Generators 77469l1 [1,1,1,-6714,-23178] 4 [-70:366:1] 77469l2 [1,1,1,-77519,-8321524] 4 [4934:104545:8] 77469l3 [1,1,1,-48364,-14619004] 2 [131586:2851819:216] 77469l4 [1,1,1,-1239554,-531702088] 2 [24651614:-401930459:17576]
77469m (2 curves)	0	3+ 7- 17- 31-	1 3+  0 7-  0  2 17- -2
Curve Equation t 77469m1 [1,1,0,-190390,30165367] 2 77469m2 [1,1,0,146975,125909554] 2
77469n (2 curves)	0	3+ 7- 17- 31-	1 3+ -2 7-  2  2 17-  2
Curve Equation t 77469n1 [1,1,0,3209,5977840] 2 77469n2 [1,1,0,-475276,123398059] 2
77469o (4 curves)	0	3+ 7- 17- 31-	-1 3+ -2 7-  0 -2 17-  0
Curve Equation t 77469o1 [1,1,1,37876,-2253364] 4 77469o2 [1,1,1,-197569,-20618074] 4 77469o3 [1,1,1,-1359604,594795662] 2 77469o4 [1,1,1,-2802654,-1806664350] 2
77469p (1 curve)	0	3+ 7- 17- 31-	2 3+ -1 7- -3  3 17- -5
Curve Equation t 77469p1 [0,-1,1,-479543906,-4043468239567] 1
77469q (1 curve)	1	3- 7+ 17+ 31-	1 3- -2 7+  1 -4 17+ -4
Curve Equation t Generators 77469q1 [1,0,1,193083,-25346135] 1 [155:2805:1]
77469r (2 curves)	1	3- 7- 17+ 31+	1 3-  2 7-  0  0 17+  0
Curve Equation t Generators 77469r1 [1,0,1,-1107230,-448698589] 2 [78516:364225:64] 77469r2 [1,0,1,-17717495,-28706081407] 2 [18077364:-9615520319:64]
77469s (2 curves)	1	3- 7- 17+ 31+	1 3-  2 7-  2 -2 17+ -2
Curve Equation t Generators 77469s1 [1,0,1,65,-17419] 2 [5716:50765:64] 77469s2 [1,0,1,-9700,-361147] 2 [2627212:8389163:21952]
77469t (1 curve)	1	3- 7- 17+ 31+	1 3-  2 7-  3  0 17+  0
Curve Equation t Generators 77469t1 [1,0,1,-845,-10279] 1 [16418844876396285:7087148254882981:480545460351783]
77469u (2 curves)	1	3- 7- 17+ 31+	1 3- -4 7-  0  6 17+  6
Curve Equation t Generators 77469u1 [1,0,1,-529373,148193147] 2 [-171:15373:1] 77469u2 [1,0,1,-491888,170084387] 2 [-1266:125585:8]
77469v (1 curve)	2	3- 7- 17+ 31-	0 3- -1 7- -4 -3 17+  4
Curve Equation t Generators 77469v1 [0,1,1,1378599,145710254] 1 [954:141263:8]&[716:38734:1]
77469w (2 curves)	0	3- 7- 17- 31+	1 3-  0 7-  4  2 17- -2
Curve Equation t 77469w1 [1,0,1,-8356,-137203] 2 77469w2 [1,0,1,29129,-1021849] 2
77469x (2 curves)	0	3- 7- 17- 31+	1 3-  2 7- -4 -2 17- -8
Curve Equation t 77469x1 [1,0,1,-109121920,438739875473] 2 77469x2 [1,0,1,-109121815,438740762051] 2
77469y (2 curves)	0	3- 7- 17- 31+	1 3-  2 7-  6 -2 17-  2
Curve Equation t 77469y1 [1,0,1,-17241460,-27556990051] 2 77469y2 [1,0,1,-17212305,-27654822569] 2
77469z (2 curves)	0	3- 7- 17- 31+	1 3- -4 7-  0 -2 17-  2
Curve Equation t 77469z1 [1,0,1,-685193,-13045273] 2 77469z2 [1,0,1,-7769858,-8316272653] 2
77469ba (4 curves)	0	3- 7- 17- 31+	-1 3- -2 7-  4 -6 17-  4
Curve Equation t 77469ba1 [1,0,0,391,-1632] 2 77469ba2 [1,0,0,-1814,-14421] 4 77469ba3 [1,0,0,-14309,647814] 2 77469ba4 [1,0,0,-24599,-1486332] 2
77469bb (1 curve)	0	3- 7- 17- 31+	-2 3- -1 7-  0 -5 17-  2
Curve Equation t 77469bb1 [0,1,1,-22066,-2008478] 1
77469bc (1 curve)	0	3- 7- 17- 31+	-2 3-  2 7-  0  1 17-  2
Curve Equation t 77469bc1 [0,1,1,1258,-3390082] 1
77469bd (1 curve)	1	3- 7- 17- 31-	0 3- -1 7-  1 -1 17- -3
Curve Equation t Generators 77469bd1 [0,1,1,-6141,-190186] 1 [366:6835:1]
77469be (1 curve)	1	3- 7- 17- 31-	0 3- -1 7-  4 -7 17-  0
Curve Equation t Generators 77469be1 [0,1,1,1699,42809] 1 [51:514:1]

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

Part of Computational Number Theory
Back to Tables and computations