Cremona's table of elliptic curves

116058 = 2 · 3 · 23 · 29²

Class	r	Atkin-Lehner	Eigenvalues
116058a (2 curves)	1	2+ 3+ 23+ 29+	2+ 3+  0  4  0 -2 -4 -8
Curve Equation t Generators 116058a1 [1,1,0,-61410,-7071948] 2 [18918804:422811234:29791] 116058a2 [1,1,0,-1036970,-406856436] 2 [12300867425:-103701193021:10218313]
116058b (4 curves)	1	2+ 3+ 23+ 29+	2+ 3+ -2 -4  0 -2 -6 -4
Curve Equation t Generators 116058b1 [1,1,0,-478546,-492847004] 2 [1713:60116:1] 116058b2 [1,1,0,-12740326,-17465602880] 4 [-2121:5603:1] 116058b3 [1,1,0,-17962936,-1794639314] 2 [43293:8943076:1] 116058b4 [1,1,0,-203706196,-1119147706910] 2 [-4062996465:1987976080:493039]
116058c (1 curve)	1	2+ 3+ 23+ 29+	2+ 3+  3  1  0 -2 -1  1
Curve Equation t Generators 116058c1 [1,1,0,-1523239401,22881701461533] 1 [208664967:-101363333:9261]
116058d (2 curves)	1	2+ 3+ 23+ 29+	2+ 3+ -3 -4 -3  5  6 -2
Curve Equation t Generators 116058d1 [1,1,0,-77389,8349469] 1 [147:-494:1] 116058d2 [1,1,0,275831,42470521] 1 [1887:84418:1]
116058e (1 curve)	0	2+ 3+ 23- 29+	2+ 3+ -1  0  3 -5  4 -4
Curve Equation t 116058e1 [1,1,0,-1115183,-2167317531] 1
116058f (1 curve)	0	2+ 3+ 23- 29+	2+ 3+ -1 -3  0 -2 -5  5
Curve Equation t 116058f1 [1,1,0,-23300763,45730222749] 1
116058g (4 curves)	0	2+ 3- 23+ 29+	2+ 3-  2  0  0 -2 -2  8
Curve Equation t 116058g1 [1,0,1,2505,47434] 2 116058g2 [1,0,1,-14315,444386] 4 116058g3 [1,0,1,-90005,-10061386] 2 116058g4 [1,0,1,-207745,36422366] 2
116058h (1 curve)	1	2+ 3- 23+ 29-	2+ 3- -1 -3  2  6  1  4
Curve Equation t Generators 116058h1 [1,0,1,2783099416,25964662379258] 1 [125379:48371341:1]
116058i (2 curves)	1	2+ 3- 23+ 29-	2+ 3-  2  0  0  2  0  4
Curve Equation t Generators 116058i1 [1,0,1,-1084117980,12950146446106] 2 [100629790538458536063585342201379875667319135360097273417830922659536917331519555723068663399055139737755336353353587656823414:-160661161327910805885022054746919617821726436975579071829136876589195603174234231392583142100635587710667984205045950511078877250:49023596391021499616577096402940688303345687645074133900823256521549778418230105170981907056358111073517031222011602110791] 116058i2 [1,0,1,-17067693020,858238315721498] 2 [1377319076447794709008573536831517702178598642435698382047108469864:5467401010484682873598837529959334280356043468011191506226860451865:18434773227664018258346698057280585164725303353717962508266473]
116058j (1 curve)	1	2+ 3- 23+ 29-	2+ 3- -3  0  5 -3  0  4
Curve Equation t Generators 116058j1 [1,0,1,40,-358] 1 [12:-50:1]
116058k (1 curve)	1	2+ 3- 23- 29+	2+ 3-  1  1  4 -2  3 -1
Curve Equation t Generators 116058k1 [1,0,1,54647,-2870836] 1 [45090486:992236099:117649]
116058l (1 curve)	1	2+ 3- 23- 29+	2+ 3-  1 -4 -1  1  2 -2
Curve Equation t Generators 116058l1 [1,0,1,1459117,5959336430] 1 [15846:1994077:1]
116058m (1 curve)	1	2+ 3- 23- 29+	2+ 3-  1  5  2 -2 -7  4
Curve Equation t Generators 116058m1 [1,0,1,-453,3760] 1 [11:-18:1]
116058n (4 curves)	1	2+ 3- 23- 29+	2+ 3-  2  4  0 -2  6 -4
Curve Equation t Generators 116058n1 [1,0,1,-39545,-2911204] 2 [-18644006282901636:54348757852897672:183473132713767] 116058n2 [1,0,1,-106825,9602876] 4 [14124468:-2244175025:804357] 116058n3 [1,0,1,280035,63299044] 2 [-36281:1973294:343] 116058n4 [1,0,1,-1570165,757076948] 2 [3126:646897:27]
116058o (2 curves)	1	2+ 3- 23- 29+	2+ 3- -2  2  2 -2 -4  4
Curve Equation t Generators 116058o1 [1,0,1,-91687,-250906966] 2 [39042967682301:1578772868852644:21647657403] 116058o2 [1,0,1,-6550567,-6392010070] 2 [28837047229553726037966:-29893811947908219628459:9767805382806309189]
116058p (2 curves)	1	2+ 3- 23- 29+	2+ 3- -2 -2 -2 -2  0 -4
Curve Equation t Generators 116058p1 [1,0,1,-4565807,-4717767454] 2 [2622:35272:1] 116058p2 [1,0,1,-78136487,-265834824910] 2 [-5076:4849:1]
116058q (1 curve)	0	2+ 3- 23- 29-	2+ 3- -1  0  3 -1  6 -2
Curve Equation t 116058q1 [1,0,1,-7733854,8278856480] 1
116058r (4 curves)	0	2- 3+ 23+ 29+	2- 3+  0  2  0  2  0 -2
Curve Equation t 116058r1 [1,1,1,-29873,2065727] 2 116058r2 [1,1,1,-484013,129406583] 2 116058r3 [1,1,1,159352,4321289] 2 116058r4 [1,1,1,-648008,34032137] 2
116058s (1 curve)	2	2- 3+ 23+ 29+	2- 3+ -1  0 -5  3 -4 -4
Curve Equation t Generators 116058s1 [1,1,1,-587456,354089825] 1 [-955:7205:1]&[437:-13675:1]
116058t (1 curve)	0	2- 3+ 23+ 29+	2- 3+ -1 -3 -2  6 -1 -4
Curve Equation t 116058t1 [1,1,1,3309274,1065974807] 1
116058u (2 curves)	0	2- 3+ 23+ 29+	2- 3+  4  0  0 -2 -4 -4
Curve Equation t 116058u1 [1,1,1,-11852651,-15712949419] 2 116058u2 [1,1,1,-189648461,-1005324427879] 2
116058v (2 curves)	1	2- 3+ 23+ 29-	2- 3+  2  0  0  2  0 -4
Curve Equation t Generators 116058v1 [1,1,1,-1289082,530449671] 2 [785:1347:1] 116058v2 [1,1,1,-20294522,35181167879] 2 [2409:15499:1]
116058w (1 curve)	1	2- 3+ 23+ 29-	2- 3+ -3  0 -5 -3  0 -4
Curve Equation t Generators 116058w1 [1,1,1,34043,-8793265] 1 [247:3718:1]
116058x (2 curves)	1	2- 3+ 23- 29+	2- 3+  2  0 -2 -6  8  2
Curve Equation t Generators 116058x1 [1,1,1,-10322872,13656980729] 2 [959:67641:1] 116058x2 [1,1,1,-168363592,840778892921] 2 [4435:423627:1]
116058y (1 curve)	1	2- 3+ 23- 29+	2- 3+ -3 -3 -2  0 -3  1
Curve Equation t Generators 116058y1 [1,1,1,-373842,89334615] 1 [843:18921:1]
116058z (1 curve)	0	2- 3+ 23- 29-	2- 3+  1  5 -2 -2  7 -4
Curve Equation t 116058z1 [1,1,1,-380570,92469863] 1
116058ba (1 curve)	2	2- 3+ 23- 29-	2- 3+ -1  0 -3 -1 -6  2
Curve Equation t Generators 116058ba1 [1,1,1,-9196,335645] 1 [1533:-113:27]&[55:-21:1]
116058bb (2 curves)	1	2- 3- 23+ 29+	2- 3-  0 -4  0  6  0  0
Curve Equation t Generators 116058bb1 [1,0,0,16382,2825888] 2 [276424:6519985:512] 116058bb2 [1,0,0,-227508,38287494] 2 [17670:803571:8]
116058bc (1 curve)	1	2- 3- 23+ 29+	2- 3-  1  4  3  1 -6 -6
Curve Equation t Generators 116058bc1 [1,0,0,-5561130,-5102077752] 1 [3428:125252:1]
116058bd (2 curves)	1	2- 3- 23+ 29+	2- 3- -2 -2  6 -2  0  0
Curve Equation t Generators 116058bd1 [1,0,0,-1279,37973] 2 [-44:12637:64] 116058bd2 [1,0,0,-26509,1657739] 2 [6018:206521:216]
116058be (2 curves)	0	2- 3- 23- 29+	2- 3- -2 -2  4 -2  6  2
Curve Equation t 116058be1 [1,0,0,-194709,33284385] 2 116058be2 [1,0,0,-3121389,2122348569] 2

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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