Cremona's table of elliptic curves

41382 = 2 · 3² · 11² · 19

Class	r	Atkin-Lehner	Eigenvalues
41382a (2 curves)	1	2+ 3+ 11+ 19+	2+ 3+  2 -2 11+  6  2 19+
Curve Equation t Generators 41382a1 [1,-1,0,-13566966,-17008279436] 2 [-132547470505:3127007287928:68417929] 41382a2 [1,-1,0,-54455286,137116153972] 2 [166197517530494255095329:-11244272883424317559707832:18676763430086079487]
41382b (2 curves)	0	2+ 3+ 11+ 19-	2+ 3+ -2  2 11+ -6  2 19-
Curve Equation t 41382b1 [1,-1,0,-1009113,-344837971] 2 41382b2 [1,-1,0,-4050393,2782206125] 2
41382c (2 curves)	0	2+ 3+ 11- 19+	2+ 3+  3  4 11-  4  3 19+
Curve Equation t 41382c1 [1,-1,0,4152,236088] 1 41382c2 [1,-1,0,-202758,35249858] 1
41382d (2 curves)	0	2+ 3+ 11- 19+	2+ 3+ -3 -2 11-  1 -6 19+
Curve Equation t 41382d1 [1,-1,0,-336,-2304] 1 41382d2 [1,-1,0,984,-12952] 1
41382e (2 curves)	1	2+ 3+ 11- 19-	2+ 3+  2  0 11-  4  0 19-
Curve Equation t Generators 41382e1 [1,-1,0,-3471,8729] 2 [-40:307:1] 41382e2 [1,-1,0,-36141,-2624473] 2 [-36589:49762:343]
41382f (2 curves)	1	2+ 3+ 11- 19-	2+ 3+  3  2 11- -1 -6 19-
Curve Equation t Generators 41382f1 [1,-1,0,13227,-629667] 3 [15705609:744491376:6859] 41382f2 [1,-1,0,-366108,-85727152] 1 [4502627055142627040:-211094331263145175279:1936298553344000]
41382g (1 curve)	1	2+ 3+ 11- 19-	2+ 3+ -3  0 11-  4 -5 19-
Curve Equation t Generators 41382g1 [1,-1,0,-59736,52996928] 1 [-41:7462:1]
41382h (1 curve)	0	2+ 3- 11+ 19+	2+ 3-  1  0 11+ -4 -5 19+
Curve Equation t 41382h1 [1,-1,0,45171,36169821] 1
41382i (1 curve)	0	2+ 3- 11+ 19+	2+ 3- -1  4 11+  0 -7 19+
Curve Equation t 41382i1 [1,-1,0,-22085685,39957286837] 1
41382j (2 curves)	0	2+ 3- 11+ 19+	2+ 3-  2  4 11+  6 -4 19+
Curve Equation t 41382j1 [1,-1,0,-171,-203] 2 41382j2 [1,-1,0,-2151,-37823] 2
41382k (2 curves)	1	2+ 3- 11- 19+	2+ 3-  0  1 11- -2  6 19+
Curve Equation t Generators 41382k1 [1,-1,0,-72,270] 1 [7:5:1] 41382k2 [1,-1,0,423,-27] 1 [52:1113:64]
41382l (1 curve)	1	2+ 3- 11- 19+	2+ 3-  0  1 11-  3  1 19+
Curve Equation t Generators 41382l1 [1,-1,0,-5009967,10919085997] 1 [-83453209:1663963379:29791]
41382m (3 curves)	1	2+ 3- 11- 19+	2+ 3-  0  1 11- -5  3 19+
Curve Equation t Generators 41382m1 [1,-1,0,-16902,850284] 1 [25:653:1] 41382m2 [1,-1,0,10323,3212325] 1 [10708:192965:64] 41382m3 [1,-1,0,-93132,-87972912] 1 [676045775468:-15540754641845:873722816]
41382n (2 curves)	1	2+ 3- 11- 19+	2+ 3-  0  2 11-  4  2 19+
Curve Equation t Generators 41382n1 [1,-1,0,-223812,32879952] 2 [-371:8232:1] 41382n2 [1,-1,0,473148,196386768] 2 [3303:192735:1]
41382o (2 curves)	1	2+ 3- 11- 19+	2+ 3-  0  4 11-  0 -2 19+
Curve Equation t Generators 41382o1 [1,-1,0,-15959862,20856628084] 2 [41230048085838223:-271330568318422457:13595447255363] 41382o2 [1,-1,0,28645578,116499612532] 2 [87341359:12511405420:24389]
41382p (2 curves)	1	2+ 3- 11- 19+	2+ 3-  0 -4 11-  0 -2 19+
Curve Equation t Generators 41382p1 [1,-1,0,-104022,-12885152] 2 [-4974:3064:27] 41382p2 [1,-1,0,-93132,-15696950] 2 [377:1445:1]
41382q (1 curve)	1	2+ 3- 11- 19+	2+ 3-  2  1 11-  1  3 19+
Curve Equation t Generators 41382q1 [1,-1,0,-1656,27000] 1 [3:147:1]
41382r (1 curve)	1	2+ 3- 11- 19+	2+ 3-  2  3 11-  1  3 19+
Curve Equation t Generators 41382r1 [1,-1,0,-1967301,1400189269] 1 [500:2381393:64]
41382s (1 curve)	1	2+ 3- 11- 19+	2+ 3- -2 -1 11- -3 -5 19+
Curve Equation t Generators 41382s1 [1,-1,0,-685548,-219934544] 1 [11645:1247504:1]
41382t (1 curve)	1	2+ 3- 11- 19+	2+ 3- -2  3 11- -7  1 19+
Curve Equation t Generators 41382t1 [1,-1,0,27,2371] 1 [23:110:1]
41382u (1 curve)	1	2+ 3- 11- 19+	2+ 3- -2 -3 11-  2 -2 19+
Curve Equation t Generators 41382u1 [1,-1,0,-2448,-64256] 1 [2853:150919:1]
41382v (1 curve)	1	2+ 3- 11- 19+	2+ 3-  3  2 11-  7 -7 19+
Curve Equation t Generators 41382v1 [1,-1,0,392562,1929438792] 1 [2322:122760:1]
41382w (1 curve)	1	2+ 3- 11- 19+	2+ 3-  3 -2 11-  3  1 19+
Curve Equation t Generators 41382w1 [1,-1,0,-1152828,-476140208] 1 [16528328:702372380:6859]
41382x (1 curve)	1	2+ 3- 11- 19+	2+ 3- -3 -2 11-  0  7 19+
Curve Equation t Generators 41382x1 [1,-1,0,-7101,-334427] 1 [113:488:1]
41382y (2 curves)	1	2+ 3- 11- 19+	2+ 3- -3  4 11-  1  0 19+
Curve Equation t Generators 41382y1 [1,-1,0,1446714,273893076] 1 [1213128:66148695:512] 41382y2 [1,-1,0,-16342101,-30198347019] 1 [10409703715729800:-174464870152942593:2132740878848]
41382z (2 curves)	1	2+ 3- 11- 19+	2+ 3-  4  0 11- -4 -2 19+
Curve Equation t Generators 41382z1 [1,-1,0,-1396665,635510893] 2 [743095:55863868:125] 41382z2 [1,-1,0,-1222425,799819213] 2 [23609:3611843:1]
41382ba (1 curve)	1	2+ 3- 11- 19+	2+ 3- -4 -1 11- -5  3 19+
Curve Equation t Generators 41382ba1 [1,-1,0,-43618284,170889975504] 1 [4797:265968:1]
41382bb (1 curve)	0	2+ 3- 11- 19-	2+ 3-  0  0 11-  7  7 19-
Curve Equation t 41382bb1 [1,-1,0,-402,3284] 1
41382bc (1 curve)	0	2+ 3- 11- 19-	2+ 3-  0  3 11-  1 -5 19-
Curve Equation t 41382bc1 [1,-1,0,-3372,-74530] 1
41382bd (1 curve)	2	2+ 3- 11- 19-	2+ 3-  1 -4 11- -5 -3 19-
Curve Equation t Generators 41382bd1 [1,-1,0,-201669,34909001] 1 [355:-2999:1]&[260:-111:1]
41382be (1 curve)	0	2+ 3- 11- 19-	2+ 3- -1  0 11- -5  4 19-
Curve Equation t 41382be1 [1,-1,0,-2745,-611033] 1
41382bf (1 curve)	2	2+ 3- 11- 19-	2+ 3- -1 -2 11- -1 -3 19-
Curve Equation t Generators 41382bf1 [1,-1,0,-270,6804] 1 [12:-78:1]&[-15:93:1]
41382bg (2 curves)	0	2+ 3- 11- 19-	2+ 3-  2  2 11-  2  6 19-
Curve Equation t 41382bg1 [1,-1,0,-39771,3003237] 2 41382bg2 [1,-1,0,3789,9197469] 2
41382bh (1 curve)	2	2+ 3- 11- 19-	2+ 3- -4  1 11-  5 -3 19-
Curve Equation t Generators 41382bh1 [1,-1,0,5241,-927811] 1 [85:313:1]&[91:499:1]
41382bi (2 curves)	0	2- 3+ 11+ 19+	2- 3+ -2 -2 11+  6 -2 19+
Curve Equation t 41382bi1 [1,-1,1,-122102696,459345647467] 2 41382bi2 [1,-1,1,-490097576,-3701646059669] 2
41382bj (2 curves)	1	2- 3+ 11+ 19-	2- 3+  2  2 11+ -6 -2 19-
Curve Equation t Generators 41382bj1 [1,-1,1,-112124,12809151] 2 [-267:4997:1] 41382bj2 [1,-1,1,-450044,-102894657] 2 [-399:3809:1]
41382bk (2 curves)	1	2- 3+ 11- 19+	2- 3+  3 -2 11-  1  6 19+
Curve Equation t Generators 41382bk1 [1,-1,1,109,443] 1 [-3:10:1] 41382bk2 [1,-1,1,-3026,65233] 1 [37:35:1]
41382bl (2 curves)	1	2- 3+ 11- 19+	2- 3+ -3  4 11-  4 -3 19+
Curve Equation t Generators 41382bl1 [1,-1,1,-22529,-1298041] 1 [90051438:1769098453:195112] 41382bl2 [1,-1,1,37366,-6411743] 1 [4051:256067:1]
41382bm (2 curves)	0	2- 3+ 11- 19-	2- 3+ -2  0 11-  4  0 19-
Curve Equation t 41382bm1 [1,-1,1,-386,-195] 2 41382bm2 [1,-1,1,-4016,98541] 2
41382bn (1 curve)	0	2- 3+ 11- 19-	2- 3+  3  0 11-  4  5 19-
Curve Equation t 41382bn1 [1,-1,1,-537626,-1430379431] 1
41382bo (2 curves)	0	2- 3+ 11- 19-	2- 3+ -3  2 11- -1  6 19-
Curve Equation t 41382bo1 [1,-1,1,-40679,3188639] 3 41382bo2 [1,-1,1,119041,16881967] 1
41382bp (1 curve)	0	2- 3- 11+ 19-	2- 3-  1  0 11+  4  5 19-
Curve Equation t 41382bp1 [1,-1,1,373,-27277] 1
41382bq (1 curve)	0	2- 3- 11+ 19-	2- 3- -1 -4 11+  0  7 19-
Curve Equation t 41382bq1 [1,-1,1,-2672367908,-53175131676345] 1
41382br (2 curves)	0	2- 3- 11+ 19-	2- 3-  2 -4 11+ -6  4 19-
Curve Equation t 41382br1 [1,-1,1,-20714,332313] 2 41382br2 [1,-1,1,-260294,51123273] 2
41382bs (1 curve)	0	2- 3- 11- 19+	2- 3-  0  0 11- -7 -7 19+
Curve Equation t 41382bs1 [1,-1,1,-48665,-4225031] 1
41382bt (1 curve)	0	2- 3- 11- 19+	2- 3-  0 -3 11- -1  5 19+
Curve Equation t 41382bt1 [1,-1,1,-408035,100423513] 1
41382bu (4 curves)	0	2- 3- 11- 19+	2- 3-  0  4 11-  4  6 19+
Curve Equation t 41382bu1 [1,-1,1,-8735,26183] 2 41382bu2 [1,-1,1,34825,182999] 2 41382bu3 [1,-1,1,-466115,-122368705] 2 41382bu4 [1,-1,1,-455225,-128366917] 2
41382bv (1 curve)	0	2- 3- 11- 19+	2- 3-  1  4 11-  5  3 19+
Curve Equation t 41382bv1 [1,-1,1,-24401972,-46390674437] 1
41382bw (1 curve)	0	2- 3- 11- 19+	2- 3- -1  0 11-  5 -4 19+
Curve Equation t 41382bw1 [1,-1,1,-23,465] 1
41382bx (1 curve)	0	2- 3- 11- 19+	2- 3- -1  2 11-  1  3 19+
Curve Equation t 41382bx1 [1,-1,1,-32693,-8958067] 1
41382by (6 curves)	0	2- 3- 11- 19+	2- 3-  2  0 11-  2  2 19+
Curve Equation t 41382by1 [1,-1,1,-2438294,1466052261] 4 41382by2 [1,-1,1,-2525414,1355723493] 4 41382by3 [1,-1,1,3943246,7156817781] 2 41382by4 [1,-1,1,-10387994,-11507457387] 4 41382by5 [1,-1,1,14648116,-58455170859] 2 41382by6 [1,-1,1,-161225384,-787897671195] 2
41382bz (1 curve)	0	2- 3- 11- 19+	2- 3-  2 -1 11-  7 -3 19+
Curve Equation t 41382bz1 [1,-1,1,-6194,-219689] 1
41382ca (1 curve)	0	2- 3- 11- 19+	2- 3-  2  3 11- -1 -7 19+
Curve Equation t 41382ca1 [1,-1,1,71851,-1179219] 1
41382cb (2 curves)	0	2- 3- 11- 19+	2- 3- -2 -2 11-  2  6 19+
Curve Equation t 41382cb1 [1,-1,1,-4016,85231] 2 41382cb2 [1,-1,1,6874,459847] 2
41382cc (2 curves)	0	2- 3- 11- 19+	2- 3- -3 -2 11-  4  3 19+
Curve Equation t 41382cc1 [1,-1,1,-12435314,17136741449] 1 41382cc2 [1,-1,1,48428896,81663389129] 1
41382cd (1 curve)	2	2- 3- 11- 19+	2- 3- -4 -1 11- -5  3 19+
Curve Equation t Generators 41382cd1 [1,-1,1,43,685] 1 [7:-40:1]&[-5:20:1]
41382ce (2 curves)	1	2- 3- 11- 19-	2- 3-  0 -1 11-  2 -6 19-
Curve Equation t Generators 41382ce1 [1,-1,1,-8735,-333187] 1 [8138677311098713678572:-242642754503415822342133:9349711076506221504] 41382ce2 [1,-1,1,51160,-117565] 3 [13499580:1186878955:1728]
41382cf (1 curve)	1	2- 3- 11- 19-	2- 3-  0 -1 11- -3 -1 19-
Curve Equation t Generators 41382cf1 [1,-1,1,-41405,-8192379] 1 [347:4200:1]
41382cg (1 curve)	1	2- 3- 11- 19-	2- 3-  1 -2 11-  0  5 19-
Curve Equation t Generators 41382cg1 [1,-1,1,-3567587,-2604893277] 1 [6977:555168:1]
41382ch (2 curves)	1	2- 3- 11- 19-	2- 3- -1  2 11- -4  3 19-
Curve Equation t Generators 41382ch1 [1,-1,1,81652,69939983] 1 [69:-8747:1] 41382ch2 [1,-1,1,-13378388,-19575968497] 1 [4623:129457:1]
41382ci (6 curves)	1	2- 3- 11- 19-	2- 3-  2  0 11-  2 -6 19-
Curve Equation t Generators 41382ci1 [1,-1,1,-162284,25098351] 2 [3:4959:1] 41382ci2 [1,-1,1,-249404,-4731537] 4 [-69:3519:1] 41382ci3 [1,-1,1,992056,-38499249] 2 [612105:-44006621:125] 41382ci4 [1,-1,1,-2884784,-1881122097] 4 [-4819143:-7483725:4913] 41382ci5 [1,-1,1,-1806674,-3305089785] 2 [9374806620966:-610465972038129:1990865512] 41382ci6 [1,-1,1,-46128974,-120577774809] 2 [-5339028197178660:2666959571473173:1361725440704]
41382cj (1 curve)	1	2- 3- 11- 19-	2- 3-  2 -1 11- -1 -3 19-
Curve Equation t Generators 41382cj1 [1,-1,1,-200399,-35335825] 1 [12525:1394524:1]
41382ck (1 curve)	1	2- 3- 11- 19-	2- 3-  2 -3 11- -1 -3 19-
Curve Equation t Generators 41382ck1 [1,-1,1,-16259,-1047549] 1 [683:17154:1]
41382cl (4 curves)	1	2- 3- 11- 19-	2- 3-  2  4 11-  2 -6 19-
Curve Equation t Generators 41382cl1 [1,-1,1,-407309,99114293] 2 [-569:12384:1] 41382cl2 [1,-1,1,-755789,-95337547] 4 [-641:11520:1] 41382cl3 [1,-1,1,2772571,-734676379] 2 [34014:2354831:8] 41382cl4 [1,-1,1,-9859829,-11905098235] 2 [-4945318:-5501413:2744]
41382cm (4 curves)	1	2- 3- 11- 19-	2- 3- -2  0 11- -2 -6 19-
Curve Equation t Generators 41382cm1 [1,-1,1,-383351,-81989553] 2 [-445:798:1] 41382cm2 [1,-1,1,-5959031,-5597452209] 4 [-1413:798:1] 41382cm3 [1,-1,1,-5784791,-5940286833] 2 [5789:-396024:1] 41382cm4 [1,-1,1,-95344151,-358311135729] 2 [-68588415:34286074:12167]
41382cn (1 curve)	1	2- 3- 11- 19-	2- 3- -2  1 11-  3  5 19-
Curve Equation t Generators 41382cn1 [1,-1,1,-5666,166785] 1 [83:471:1]
41382co (1 curve)	1	2- 3- 11- 19-	2- 3- -2  3 11- -2  2 19-
Curve Equation t Generators 41382co1 [1,-1,1,-296231,86413407] 1 [1059:30446:1]
41382cp (1 curve)	1	2- 3- 11- 19-	2- 3- -2 -3 11-  7 -1 19-
Curve Equation t Generators 41382cp1 [1,-1,1,3244,-3165555] 1 [14038:581037:8]
41382cq (1 curve)	1	2- 3- 11- 19-	2- 3-  3  2 11- -3 -1 19-
Curve Equation t Generators 41382cq1 [1,-1,1,-139492211,634161093459] 1 [6971:18402:1]
41382cr (1 curve)	1	2- 3- 11- 19-	2- 3-  3 -2 11- -7  7 19-
Curve Equation t Generators 41382cr1 [1,-1,1,3244,-1450501] 1 [7764:50293:64]
41382cs (2 curves)	1	2- 3- 11- 19-	2- 3- -3 -4 11- -1  0 19-
Curve Equation t Generators 41382cs1 [1,-1,1,11956,-209041] 1 [51:703:1] 41382cs2 [1,-1,1,-135059,22725299] 3 [-327:5806:1]
41382ct (2 curves)	1	2- 3- 11- 19-	2- 3-  4 -3 11-  1  3 19-
Curve Equation t Generators 41382ct1 [1,-1,1,-23,42639] 1 [69:570:1] 41382ct2 [1,-1,1,-76253,-8952501] 1 [121236:5155055:64]
41382cu (1 curve)	1	2- 3- 11- 19-	2- 3- -4  1 11-  5 -3 19-
Curve Equation t Generators 41382cu1 [1,-1,1,-360482,-128293855] 1 [897:-16865:1]

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