Cremona's table of elliptic curves

49995 = 3² · 5 · 11 · 101

Class	r	Atkin-Lehner	Eigenvalues
49995a (1 curve)	0	3+ 5+ 11+ 101-	2 3+ 5+  1 11+  0 -3 -2
Curve Equation t 49995a1 [0,0,1,-500553,-106501021] 1
49995b (1 curve)	1	3+ 5- 11- 101+	-2 3+ 5-  1 11-  0  3 -2
Curve Equation t Generators 49995b1 [0,0,1,-55617,3944482] 1 [-233:2062:1]
49995c (1 curve)	0	3- 5+ 11+ 101+	-1 3- 5+  2 11+  1  6  8
Curve Equation t 49995c1 [1,-1,1,-203,1262] 1
49995d (8 curves)	1	3- 5+ 11- 101+	1 3- 5+  0 11- -2 -2  4
Curve Equation t Generators 49995d1 [1,-1,0,-1170000,-489453125] 2 [5502919144797943114862506313918559008430513424253260000:-1264047028921118542209841548229756348932527693167851239375:104701765376765652041813754997678521901886099652608] 49995d2 [1,-1,0,-18748125,-31240625000] 4 [-52038337920547335360873475426250:25769777947089261696713790638125:20821361376233477209239165896] 49995d3 [1,-1,0,-18776250,-31142170625] 4 [-959921569976734:-495806867327353:408023180713] 49995d4 [1,-1,0,-299970000,-1999625016875] 2 [-243492225796771377417414770346862679387257257186475002210:121746140011342777028237355477672076905500839763612916697:24351048914557598765925574575069972926700861703401000] 49995d5 [1,-1,0,-7750125,-67424737550] 2 [5506702911165279817939109321370:71757396033603723470773895179567:1154262647834778896354907000] 49995d6 [1,-1,0,-30252375,11441138800] 4 [26907310:49333437895:8] 49995d7 [1,-1,0,118846350,90672201265] 2 [-3810933055140:-344295566353067:5268024000] 49995d8 [1,-1,0,-362969100,2657404166035] 2 [90812704530:166499376264409:27000]
49995e (1 curve)	2	3- 5+ 11- 101-	0 3- 5+  1 11- -4 -5 -2
Curve Equation t Generators 49995e1 [0,0,1,-498,2628] 1 [2:-41:1]&[-4:67:1]
49995f (4 curves)	0	3- 5+ 11- 101-	-1 3- 5+ -4 11-  6  2 -4
Curve Equation t 49995f1 [1,-1,1,1057,3206] 4 49995f2 [1,-1,1,-4388,29342] 4 49995f3 [1,-1,1,-41513,-3222808] 2 49995f4 [1,-1,1,-54383,4888856] 2
49995g (2 curves)	1	3- 5- 11+ 101+	-1 3- 5- -4 11+  4  0 -4
Curve Equation t Generators 49995g1 [1,-1,1,-167,-5434] 2 [46:264:1] 49995g2 [1,-1,1,-5792,-167434] 2 [-44:49:1]
49995h (1 curve)	0	3- 5- 11- 101+	0 3- 5-  3 11- -2  5  4
Curve Equation t 49995h1 [0,0,1,-377292,-88347645] 1
49995i (2 curves)	0	3- 5- 11- 101+	1 3- 5-  4 11-  6 -6 -2
Curve Equation t 49995i1 [1,-1,0,-1089,8248] 2 49995i2 [1,-1,0,3456,56425] 2
49995j (2 curves)	1	3- 5- 11- 101-	1 3- 5-  0 11- -2 -2  6
Curve Equation t Generators 49995j1 [1,-1,0,-3564,80595] 2 [38:2001:8] 49995j2 [1,-1,0,981,268758] 2 [-18:504:1]

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

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