Cremona's table of elliptic curves

35739 = 3² · 11 · 19²

Class	r	Atkin-Lehner	Eigenvalues
35739a (1 curve)	1	3+ 11+ 19+	0 3+  2  2 11+  5 -3 19+
Curve Equation t Generators 35739a1 [0,0,1,-1481544,1688080493] 1 [378921:233249530:1]
35739b (1 curve)	1	3+ 11+ 19+	0 3+  2  2 11+ -5 -3 19+
Curve Equation t Generators 35739b1 [0,0,1,-4104,-246112] 1 [722:2751:8]
35739c (2 curves)	1	3+ 11+ 19+	1 3+  0 -4 11+ -4 -4 19+
Curve Equation t Generators 35739c1 [1,-1,0,-45012,-3316005] 2 [-6732:35145:64] 35739c2 [1,-1,0,57873,-16341246] 2 [58304916:-2119018357:46656]
35739d (2 curves)	1	3+ 11+ 19+	-1 3+  0 -4 11+  4 -4 19+
Curve Equation t Generators 35739d1 [1,-1,1,-125,516] 2 [2:15:1] 35739d2 [1,-1,1,160,2340] 2 [5:-60:1]
35739e (2 curves)	0	3+ 11+ 19-	1 3+ -4 -2 11+  2  2 19-
Curve Equation t 35739e1 [1,-1,0,-609,1224] 2 35739e2 [1,-1,0,-6024,-177471] 2
35739f (1 curve)	0	3+ 11- 19+	0 3+ -2  2 11-  5  3 19+
Curve Equation t 35739f1 [0,0,1,-164616,-62521500] 1
35739g (1 curve)	2	3+ 11- 19+	0 3+ -2  2 11- -5  3 19+
Curve Equation t Generators 35739g1 [0,0,1,-456,9115] 1 [-19:104:1]&[2:755:8]
35739h (2 curves)	0	3+ 11- 19+	1 3+  0 -4 11-  4  4 19+
Curve Equation t 35739h1 [1,-1,0,-1122,-12817] 2 35739h2 [1,-1,0,1443,-64630] 2
35739i (2 curves)	0	3+ 11- 19+	-1 3+  0 -4 11- -4  4 19+
Curve Equation t 35739i1 [1,-1,1,-405110,89937244] 2 35739i2 [1,-1,1,520855,440692786] 2
35739j (2 curves)	1	3+ 11- 19-	-1 3+  4 -2 11-  2 -2 19-
Curve Equation t Generators 35739j1 [1,-1,1,-5483,-27566] 2 [-2030:30793:125] 35739j2 [1,-1,1,-54218,4845934] 2 [-26:2510:1]
35739k (1 curve)	0	3- 11+ 19+	-1 3- -1 -3 11+  6  0 19+
Curve Equation t 35739k1 [1,-1,1,-178763,22472120] 1
35739l (1 curve)	0	3- 11+ 19+	2 3-  0 -4 11+  1 -7 19+
Curve Equation t 35739l1 [0,0,1,102885,-619025] 1
35739m (1 curve)	2	3- 11+ 19+	-2 3-  0 -4 11+ -1 -7 19+
Curve Equation t Generators 35739m1 [0,0,1,285,90] 1 [0:9:1]&[34:293:8]
35739n (2 curves)	1	3- 11+ 19-	0 3-  0  2 11+  1 -3 19-
Curve Equation t Generators 35739n1 [0,0,1,-1180470,-532184666] 1 [388930:20123341:125] 35739n2 [0,0,1,-97675770,-371559508025] 1 [15275482996476370:-2487972863954887481:506261573000]
35739o (2 curves)	1	3- 11+ 19-	0 3-  3 -4 11+ -2  0 19-
Curve Equation t Generators 35739o1 [0,0,1,-88806,11912368] 1 [19570:169788:125] 35739o2 [0,0,1,625974,-68893511] 1 [273163764370:-12682426392267:148877000]
35739p (1 curve)	1	3- 11+ 19-	1 3- -1 -3 11+ -6  0 19-
Curve Equation t Generators 35739p1 [1,-1,0,-495,-3146] 1 [-10:32:1]
35739q (4 curves)	1	3- 11+ 19-	1 3-  2  4 11+  2  2 19-
Curve Equation t Generators 35739q1 [1,-1,0,-21186,-1171665] 2 [-236375537509930:397740621202917:2806204207625] 35739q2 [1,-1,0,-37431,884952] 4 [3391752:-639590316:753571] 35739q3 [1,-1,0,141264,6781887] 2 [17289453648455352:-765342038140613991:9409967676928] 35739q4 [1,-1,0,-476046,126416565] 2 [32844:3083961:343]
35739r (3 curves)	1	3- 11+ 19-	-2 3- -1 -2 11+ -4  2 19-
Curve Equation t Generators 35739r1 [0,0,1,-1083,32580] 1 [0:180:1] 35739r2 [0,0,1,-33573,-4288590] 1 [3762:73279:8] 35739r3 [0,0,1,-25408263,-49295874780] 1 [3035419210850598:-133708442620179213:448399762264]
35739s (1 curve)	1	3- 11- 19+	-1 3-  2  3 11- -6  3 19+
Curve Equation t Generators 35739s1 [1,-1,1,68161,-96051400] 1 [1458:54958:1]
35739t (1 curve)	0	3- 11- 19-	0 3- -4  2 11- -1  3 19-
Curve Equation t 35739t1 [0,0,1,-4332,-248639] 1
35739u (1 curve)	0	3- 11- 19-	1 3-  2  3 11-  6  3 19-
Curve Equation t 35739u1 [1,-1,0,189,13954] 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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