Cremona's table of elliptic curves

101475 = 3² · 5² · 11 · 41

Class	r	Atkin-Lehner	Eigenvalues
101475a (1 curve)	1	3+ 5+ 11+ 41+	0 3+ 5+  0 11+  0  1 -6
Curve Equation t Generators 101475a1 [0,0,1,30,61] 1 [-1:5:1]
101475b (1 curve)	1	3+ 5+ 11+ 41+	0 3+ 5+  2 11+  6 -5 -5
Curve Equation t Generators 101475b1 [0,0,1,-1433700,-660302719] 1 [-18915:13924:27]
101475c (1 curve)	1	3+ 5+ 11+ 41+	0 3+ 5+ -4 11+ -4 -7 -6
Curve Equation t Generators 101475c1 [0,0,1,-12388440,-16783133389] 1 [1960895:238788658:125]
101475d (1 curve)	1	3+ 5+ 11+ 41+	1 3+ 5+  3 11+  4 -7  4
Curve Equation t Generators 101475d1 [1,-1,0,-16917,-843634] 1 [1428530:151984856:125]
101475e (1 curve)	1	3+ 5+ 11+ 41+	2 3+ 5+  2 11+  0 -3 -8
Curve Equation t Generators 101475e1 [0,0,1,-1875,63281] 1 [482:3285:8]
101475f (1 curve)	1	3+ 5+ 11+ 41+	2 3+ 5+  4 11+  2 -3  0
Curve Equation t Generators 101475f1 [0,0,1,915,11] 1 [31442:1971207:8]
101475g (2 curves)	2	3+ 5+ 11+ 41-	0 3+ 5+ -2 11+ -2  3 -7
Curve Equation t Generators 101475g1 [0,0,1,-8550,7156] 1 [-70:512:1]&[-20:412:1] 101475g2 [0,0,1,-469800,-123940969] 1 [-395:12:1]&[969:18184:1]
101475h (1 curve)	0	3+ 5+ 11+ 41-	1 3+ 5+ -5 11+ -4  3  0
Curve Equation t 101475h1 [1,-1,0,40458,10553741] 1
101475i (2 curves)	2	3+ 5+ 11- 41+	0 3+ 5+ -2 11- -2 -3 -7
Curve Equation t Generators 101475i1 [0,0,1,-52200,4590406] 1 [8420:-307:64]&[130:37:1] 101475i2 [0,0,1,-76950,-193219] 1 [-255:1687:1]&[-5:437:1]
101475j (1 curve)	2	3+ 5+ 11- 41+	-1 3+ 5+ -5 11- -4 -3  0
Curve Equation t Generators 101475j1 [1,-1,1,4495,-392378] 1 [224:3325:1]&[542:3475:8]
101475k (1 curve)	1	3+ 5+ 11- 41-	0 3+ 5+  0 11-  0 -1 -6
Curve Equation t Generators 101475k1 [0,0,1,270,-1654] 1 [6:13:1]
101475l (1 curve)	1	3+ 5+ 11- 41-	0 3+ 5+  2 11-  6  5 -5
Curve Equation t Generators 101475l1 [0,0,1,-159300,24455656] 1 [170:1512:1]
101475m (1 curve)	1	3+ 5+ 11- 41-	0 3+ 5+ -4 11- -4  7 -6
Curve Equation t Generators 101475m1 [0,0,1,-111495960,453144601496] 1 [762030:-1696:125]
101475n (1 curve)	1	3+ 5+ 11- 41-	-1 3+ 5+  3 11-  4  7  4
Curve Equation t Generators 101475n1 [1,-1,1,-1880,31872] 1 [24:-25:1]
101475o (1 curve)	1	3+ 5+ 11- 41-	-2 3+ 5+  2 11-  0  3 -8
Curve Equation t Generators 101475o1 [0,0,1,-16875,-1708594] 1 [216:2173:1]
101475p (1 curve)	1	3+ 5+ 11- 41-	-2 3+ 5+  4 11-  2  3  0
Curve Equation t Generators 101475p1 [0,0,1,8235,-304] 1 [279:4900:1]
101475q (1 curve)	2	3+ 5- 11+ 41+	0 3+ 5-  0 11+  0 -1 -6
Curve Equation t Generators 101475q1 [0,0,1,750,7656] 1 [50:-413:1]&[26:211:1]
101475r (1 curve)	0	3+ 5- 11+ 41+	0 3+ 5-  4 11+  4  7 -1
Curve Equation t 101475r1 [0,0,1,-13500,569531] 1
101475s (1 curve)	0	3+ 5- 11+ 41+	0 3+ 5-  4 11+  4  7 -6
Curve Equation t 101475s1 [0,0,1,-309711000,-2097891673594] 1
101475t (1 curve)	2	3+ 5- 11+ 41+	0 3+ 5- -4 11+ -4 -7 -1
Curve Equation t Generators 101475t1 [0,0,1,-540,4556] 1 [-190:501:8]&[0:67:1]
101475u (1 curve)	2	3+ 5- 11+ 41+	-2 3+ 5- -2 11+  0  3 -8
Curve Equation t Generators 101475u1 [0,0,1,-75,506] 1 [-5:27:1]&[-78:137:8]
101475v (1 curve)	2	3+ 5- 11+ 41+	-2 3+ 5- -4 11+ -2  3  0
Curve Equation t Generators 101475v1 [0,0,1,22875,1406] 1 [0:37:1]&[19:665:1]
101475w (1 curve)	0	3+ 5- 11- 41-	0 3+ 5-  0 11-  0  1 -6
Curve Equation t 101475w1 [0,0,1,6750,-206719] 1
101475x (1 curve)	0	3+ 5- 11- 41-	0 3+ 5-  4 11-  4 -7 -1
Curve Equation t 101475x1 [0,0,1,-1500,-21094] 1
101475y (1 curve)	0	3+ 5- 11- 41-	0 3+ 5-  4 11-  4 -7 -6
Curve Equation t 101475y1 [0,0,1,-2787399000,56643075187031] 1
101475z (1 curve)	2	3+ 5- 11- 41-	0 3+ 5- -4 11- -4  7 -1
Curve Equation t Generators 101475z1 [0,0,1,-60,-169] 1 [-5:2:1]&[-30:11:8]
101475ba (1 curve)	0	3+ 5- 11- 41-	2 3+ 5- -2 11-  0 -3 -8
Curve Equation t 101475ba1 [0,0,1,-675,-13669] 1
101475bb (1 curve)	0	3+ 5- 11- 41-	2 3+ 5- -4 11- -2 -3  0
Curve Equation t 101475bb1 [0,0,1,205875,-37969] 1
101475bc (1 curve)	2	3- 5+ 11+ 41+	0 3- 5+ -2 11+ -2 -3  2
Curve Equation t Generators 101475bc1 [0,0,1,-300,2151] 1 [-19:31:1]&[-1:49:1]
101475bd (1 curve)	0	3- 5+ 11+ 41+	0 3- 5+ -3 11+ -3 -2 -3
Curve Equation t 101475bd1 [0,0,1,-454800,-119249924] 1
101475be (2 curves)	0	3- 5+ 11+ 41+	1 3- 5+ -4 11+  0  6  0
Curve Equation t 101475be1 [1,-1,0,-15642,-620609] 2 101475be2 [1,-1,0,30483,-3618734] 2
101475bf (1 curve)	0	3- 5+ 11+ 41+	-1 3- 5+  4 11+ -5 -6  0
Curve Equation t 101475bf1 [1,-1,1,-166055,-111885928] 1
101475bg (4 curves)	0	3- 5+ 11+ 41+	-1 3- 5+ -4 11+  6  6  4
Curve Equation t 101475bg1 [1,-1,1,-25130,-1500128] 2 101475bg2 [1,-1,1,-53255,2493622] 4 101475bg3 [1,-1,1,177370,18176122] 2 101475bg4 [1,-1,1,-733880,242073622] 2
101475bh (2 curves)	0	3- 5+ 11+ 41+	2 3- 5+ -2 11+  4 -3  0
Curve Equation t 101475bh1 [0,0,1,-1032285,-403867539] 1 101475bh2 [0,0,1,6860625,2176007031] 1
101475bi (1 curve)	0	3- 5+ 11+ 41+	2 3- 5+  4 11+  4  3  3
Curve Equation t 101475bi1 [0,0,1,-2325,41031] 1
101475bj (1 curve)	1	3- 5+ 11+ 41-	1 3- 5+  1 11+  2  3  5
Curve Equation t Generators 101475bj1 [1,-1,0,-2592,-17389809] 1 [95370:2527197:125]
101475bk (4 curves)	1	3- 5+ 11+ 41-	1 3- 5+  4 11+ -2 -2  0
Curve Equation t Generators 101475bk1 [1,-1,0,-4337442,3468396591] 2 [1119670:-361207479:6859] 101475bk2 [1,-1,0,-6228567,149472216] 4 [-1184692854310:-230938255790943:6455635928] 101475bk3 [1,-1,0,24905808,1176906591] 2 [14152425963892768994800610:2470985886741264170188822057:474537033517341048632] 101475bk4 [1,-1,0,-67620942,-213311815659] 2 [12960184461831843472461535330236:2163246873770936999866450329694257:425246325002376721618053824]
101475bl (2 curves)	1	3- 5+ 11+ 41-	-1 3- 5+  0 11+ -4 -6  4
Curve Equation t Generators 101475bl1 [1,-1,1,-9455,84422] 2 [-32:610:1] 101475bl2 [1,-1,1,36670,637922] 2 [24:1225:1]
101475bm (1 curve)	1	3- 5+ 11- 41+	1 3- 5+ -1 11-  6 -3  3
Curve Equation t Generators 101475bm1 [1,-1,0,-7542,278491] 1 [-10:599:1]
101475bn (1 curve)	1	3- 5+ 11- 41+	-1 3- 5+  0 11-  3 -2  4
Curve Equation t Generators 101475bn1 [1,-1,1,40,-228] 1 [5:6:1]
101475bo (1 curve)	1	3- 5+ 11- 41+	2 3- 5+  4 11-  4 -1 -3
Curve Equation t Generators 101475bo1 [0,0,1,-120675,-11787219] 1 [-1710:16471:8]
101475bp (1 curve)	0	3- 5+ 11- 41-	0 3- 5+ -2 11-  0 -5 -1
Curve Equation t 101475bp1 [0,0,1,-151050,20997531] 1
101475bq (2 curves)	0	3- 5+ 11- 41-	0 3- 5+ -2 11- -2  3  2
Curve Equation t 101475bq1 [0,0,1,-16615025670,-824327215473704] 1 101475bq2 [0,0,1,-16614860970,-824344375228799] 1
101475br (2 curves)	2	3- 5+ 11- 41-	0 3- 5+ -2 11-  4 -3 -1
Curve Equation t Generators 101475br1 [0,0,1,-64200,-3153344] 1 [-170:1687:1]&[490:-9113:1] 101475br2 [0,0,1,-2494200,1516052281] 1 [-1295:50737:1]&[355:25987:1]
101475bs (2 curves)	0	3- 5+ 11- 41-	0 3- 5+  4 11-  4  3  2
Curve Equation t 101475bs1 [0,0,1,1983750,-128689844] 1 101475bs2 [0,0,1,-25353750,53883375781] 1
101475bt (1 curve)	0	3- 5+ 11- 41-	0 3- 5+ -4 11-  6  2 -8
Curve Equation t 101475bt1 [0,0,1,600,-21344] 1
101475bu (4 curves)	0	3- 5+ 11- 41-	-1 3- 5+  0 11- -2 -2 -8
Curve Equation t 101475bu1 [1,-1,1,16870,-1198128] 4 101475bu2 [1,-1,1,-119255,-12360378] 4 101475bu3 [1,-1,1,-626630,180442122] 2 101475bu4 [1,-1,1,-1789880,-921180378] 2
101475bv (1 curve)	0	3- 5+ 11- 41-	2 3- 5+  0 11-  4 -5 -5
Curve Equation t 101475bv1 [0,0,1,-106575825,-416189884469] 1
101475bw (1 curve)	1	3- 5- 11+ 41+	0 3- 5-  2 11+  2  3  2
Curve Equation t Generators 101475bw1 [0,0,1,-7500,268906] 1 [50:-138:1]
101475bx (1 curve)	1	3- 5- 11+ 41+	0 3- 5-  3 11+  3  2 -3
Curve Equation t Generators 101475bx1 [0,0,1,-11370000,-14906240469] 1 [833245:56665607:125]
101475by (1 curve)	1	3- 5- 11+ 41+	1 3- 5- -1 11+ -6 -1 -2
Curve Equation t Generators 101475by1 [1,-1,0,-9117,1836166] 1 [-6:1378:1]
101475bz (2 curves)	1	3- 5- 11+ 41+	1 3- 5- -2 11+  0  0  4
Curve Equation t Generators 101475bz1 [1,-1,0,288,1971] 2 [10:71:1] 101475bz2 [1,-1,0,-1737,20196] 2 [-12:204:1]
101475ca (1 curve)	1	3- 5- 11+ 41+	1 3- 5- -4 11+  5  6  0
Curve Equation t Generators 101475ca1 [1,-1,0,-6642,-893759] 1 [1894:25297:8]
101475cb (1 curve)	1	3- 5- 11+ 41+	-1 3- 5-  1 11+  6  1 -2
Curve Equation t Generators 101475cb1 [1,-1,1,-365,14762] 1 [0:121:1]
101475cc (2 curves)	1	3- 5- 11+ 41+	-1 3- 5-  2 11+  0  0  4
Curve Equation t Generators 101475cc1 [1,-1,1,7195,253572] 2 [330:6038:1] 101475cc2 [1,-1,1,-43430,2481072] 2 [38:921:1]
101475cd (3 curves)	1	3- 5- 11+ 41+	2 3- 5- -2 11+ -6  7 -5
Curve Equation t Generators 101475cd1 [0,0,1,-1728885,874978281] 1 [388680:-251:512] 101475cd2 [0,0,1,-2036235,542558781] 1 [2209935720:171088918361:12487168] 101475cd3 [0,0,1,-621642585,-5965670324619] 1 [-5552538513367985766890039169075720323581268086450138510200:2095302670674475237751384085415614154632197894725715629:385718018039107593361240685242495988376722225560228352]
101475ce (2 curves)	1	3- 5- 11+ 41+	-2 3- 5-  2 11+ -4  3  0
Curve Equation t Generators 101475ce1 [0,0,1,274425,17408056] 1 [1814:80525:1] 101475ce2 [0,0,1,-25807125,-50483442344] 1 [10229:869379:1]
101475cf (3 curves)	1	3- 5- 11+ 41+	-2 3- 5-  2 11+  6 -7 -5
Curve Equation t Generators 101475cf1 [0,0,1,-43222125,109372285156] 1 [3796:31:1] 101475cf2 [0,0,1,-50905875,67819847656] 1 [8671:527593:1] 101475cf3 [0,0,1,-15541064625,-745708790577344] 1 [3257399579475925622497096:1564050514121538947390374456:11139634724683742551]
101475cg (1 curve)	0	3- 5- 11- 41+	1 3- 5-  0 11- -3  2  4
Curve Equation t 101475cg1 [1,-1,0,1008,-27459] 1
101475ch (2 curves)	1	3- 5- 11- 41-	0 3- 5-  2 11-  2 -3  2
Curve Equation t Generators 101475ch1 [0,0,1,-415375641750,-103040901934212969] 1 [2764767823607745192222489865664930902203245794051747198:3103035105833533560091184072084250134700884872448379200753:1764638636838635937316319409032567403207764917688] 101475ch2 [0,0,1,-415371524250,-103043046903599844] 3 [197636511436735247037850:726526910264698254302411072:14591356930017881]
101475ci (2 curves)	1	3- 5- 11- 41-	0 3- 5- -4 11- -4 -3  2
Curve Equation t Generators 101475ci1 [0,0,1,79350,-1029519] 1 [658:19679:8] 101475ci2 [0,0,1,-1014150,431067006] 3 [-910:24502:1]

Data from Elliptic Curve Data by J. E. Cremona.
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