Cremona's table of elliptic curves

81120 = 2⁵ · 3 · 5 · 13²

Class	r	Atkin-Lehner	Eigenvalues
81120a (1 curve)	1	2+ 3+ 5+ 13+	2+ 3+ 5+  1  1 13+ -5 -2
Curve Equation t Generators 81120a1 [0,-1,0,-21181,1226965] 1 [191:2028:1]
81120b (1 curve)	1	2+ 3+ 5+ 13+	2+ 3+ 5+  1 -3 13+  3  6
Curve Equation t Generators 81120b1 [0,-1,0,-15880141,24663110341] 1 [-12939:4842188:27]
81120c (1 curve)	1	2+ 3+ 5+ 13+	2+ 3+ 5+  2  3 13+  2 -2
Curve Equation t Generators 81120c1 [0,-1,0,-56,-300] 1 [84:762:1]
81120d (2 curves)	1	2+ 3+ 5+ 13+	2+ 3+ 5+ -2 -2 13+ -2 -2
Curve Equation t Generators 81120d1 [0,-1,0,-1789766,-919327020] 2 [-794:742:1] 81120d2 [0,-1,0,-1173761,-1562313039] 2 [2765:127764:1]
81120e (4 curves)	1	2+ 3+ 5+ 13+	2+ 3+ 5+  4  0 13+ -6  0
Curve Equation t Generators 81120e1 [0,-1,0,-5126,137760] 4 [-1:378:1] 81120e2 [0,-1,0,2479,504321] 2 [-17:676:1] 81120e3 [0,-1,0,-13576,-423320] 2 [29166:93457:216] 81120e4 [0,-1,0,-81176,8929140] 2 [-4:3042:1]
81120f (4 curves)	1	2+ 3+ 5+ 13+	2+ 3+ 5+ -4  0 13+  2 -8
Curve Equation t Generators 81120f1 [0,-1,0,-2749686,-992178864] 4 [59689692966:552963608873:32157432] 81120f2 [0,-1,0,8817519,-7171379775] 2 [130152:10363249:27] 81120f3 [0,-1,0,-19860936,33374055636] 2 [-5052:68886:1] 81120f4 [0,-1,0,-38450936,-91730475864] 2 [459197117879775762:-194487510304135970389:2556740946024]
81120g (2 curves)	0	2+ 3+ 5+ 13-	2+ 3+ 5+ -4 -2 13- -2 -8
Curve Equation t 81120g1 [0,-1,0,-93006,-9485100] 2 81120g2 [0,-1,0,-389601,84179601] 2
81120h (1 curve)	0	2+ 3+ 5- 13+	2+ 3+ 5- -1  1 13+  0  3
Curve Equation t 81120h1 [0,-1,0,1132920,1770084900] 1
81120i (1 curve)	0	2+ 3+ 5- 13+	2+ 3+ 5- -1  1 13+ -3  6
Curve Equation t 81120i1 [0,-1,0,-91485,-19161195] 1
81120j (1 curve)	0	2+ 3+ 5- 13+	2+ 3+ 5- -1 -3 13+ -3  6
Curve Equation t 81120j1 [0,-1,0,30195,-7390683] 1
81120k (2 curves)	0	2+ 3+ 5- 13+	2+ 3+ 5-  2  0 13+  0 -6
Curve Equation t 81120k1 [0,-1,0,-332310,88923600] 2 81120k2 [0,-1,0,-5613560,5120898600] 2
81120l (4 curves)	0	2+ 3+ 5- 13+	2+ 3+ 5-  4 -4 13+  2 -4
Curve Equation t 81120l1 [0,-1,0,-38250,2835000] 4 81120l2 [0,-1,0,4000,8716200] 2 81120l3 [0,-1,0,-83880,-5177628] 2 81120l4 [0,-1,0,-608625,182959425] 2
81120m (2 curves)	1	2+ 3+ 5- 13-	2+ 3+ 5- -4 -4 13-  0 -8
Curve Equation t Generators 81120m1 [0,-1,0,12450,875952] 2 [-16:820:1] 81120m2 [0,-1,0,-97400,9576072] 2 [4266:83517:8]
81120n (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  0  0 13+  6 -4
Curve Equation t 81120n1 [0,1,0,-1746,24480] 4 81120n2 [0,1,0,2479,128415] 2 81120n3 [0,1,0,-6816,-192516] 2 81120n4 [0,1,0,-27096,1707720] 2
81120o (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+ -1  1 13+  0  3
Curve Equation t 81120o1 [0,1,0,6704,-803620] 1
81120p (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+ -1  3 13+  3 -6
Curve Equation t 81120p1 [0,1,0,-15880141,-24663110341] 1
81120q (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+ -2 -3 13+  2  2
Curve Equation t 81120q1 [0,1,0,-56,300] 1
81120r (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+  3 -3 13+ -3  2
Curve Equation t 81120r1 [0,1,0,790019,57747275] 1
81120s (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  4  0 13+  2  8
Curve Equation t 81120s1 [0,1,0,-2749686,992178864] 4 81120s2 [0,1,0,8817519,7171379775] 2 81120s3 [0,1,0,-19860936,-33374055636] 2 81120s4 [0,1,0,-38450936,91730475864] 2
81120t (4 curves)	2	2+ 3- 5+ 13+	2+ 3- 5+ -4  0 13+ -6  0
Curve Equation t Generators 81120t1 [0,1,0,-5126,-137760] 4 [-39:66:1]&[-38:60:1] 81120t2 [0,1,0,2479,-504321] 2 [82:507:1]&[186:2535:1] 81120t3 [0,1,0,-13576,423320] 2 [134:-1014:1]&[-74:1014:1] 81120t4 [0,1,0,-81176,-8929140] 2 [511:9126:1]&[619:13356:1]
81120u (4 curves)	1	2+ 3- 5- 13+	2+ 3- 5-  0  0 13+  2 -4
Curve Equation t Generators 81120u1 [0,1,0,-11210,-429792] 4 [186923:1179612:1331] 81120u2 [0,1,0,10760,-1888600] 4 [458:9966:1] 81120u3 [0,1,0,-36560,2176188] 2 [175665209181:844214539364:1070599167] 81120u4 [0,1,0,-175985,-28474497] 2 [53639400276:-2232660296931:29218112]
81120v (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5-  1  3 13+ -3 -6
Curve Equation t Generators 81120v1 [0,1,0,30195,7390683] 1 [-87:2028:1]
81120w (2 curves)	1	2+ 3- 5- 13+	2+ 3- 5- -2  0 13+  0  6
Curve Equation t Generators 81120w1 [0,1,0,-332310,-88923600] 2 [1305:41250:1] 81120w2 [0,1,0,-5613560,-5120898600] 2 [-1370:450:1]
81120x (2 curves)	0	2+ 3- 5- 13-	2+ 3- 5-  4  4 13-  0  8
Curve Equation t 81120x1 [0,1,0,12450,-875952] 2 81120x2 [0,1,0,-97400,-9576072] 2
81120y (2 curves)	2	2+ 3- 5- 13-	2+ 3- 5- -4 -2 13- -2 -8
Curve Equation t Generators 81120y1 [0,1,0,-550,4148] 2 [-22:78:1]&[-19:90:1] 81120y2 [0,1,0,-2305,-39025] 2 [-31:60:1]&[-25:60:1]
81120z (4 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+  0  0 13+  6  4
Curve Equation t 81120z1 [0,-1,0,-1746,-24480] 4 81120z2 [0,-1,0,2479,-128415] 2 81120z3 [0,-1,0,-6816,192516] 2 81120z4 [0,-1,0,-27096,-1707720] 2
81120ba (1 curve)	0	2- 3+ 5+ 13+	2- 3+ 5+  1 -1 13+  0 -3
Curve Equation t 81120ba1 [0,-1,0,6704,803620] 1
81120bb (1 curve)	0	2- 3+ 5+ 13+	2- 3+ 5+  1 -3 13+ -5 -2
Curve Equation t 81120bb1 [0,-1,0,-7578861,-8028438939] 1
81120bc (2 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+ -2  0 13+  4 -2
Curve Equation t 81120bc1 [0,-1,0,1634,6616] 2 81120bc2 [0,-1,0,-6816,60696] 2
81120bd (2 curves)	2	2- 3+ 5+ 13+	2- 3+ 5+ -2 -4 13+  0  6
Curve Equation t Generators 81120bd1 [0,-1,0,-11886,831336] 2 [-17:1014:1]&[35:676:1] 81120bd2 [0,-1,0,-223136,40630836] 2 [-356:8650:1]&[100:4394:1]
81120be (1 curve)	0	2- 3+ 5+ 13+	2- 3+ 5+ -3  3 13+ -3 -2
Curve Equation t 81120be1 [0,-1,0,790019,-57747275] 1
81120bf (2 curves)	1	2- 3+ 5+ 13-	2- 3+ 5+  4  4 13-  0  8
Curve Equation t Generators 81120bf1 [0,-1,0,74,376] 2 [36:220:1] 81120bf2 [0,-1,0,-576,4536] 2 [314:1617:8]
81120bg (4 curves)	1	2- 3+ 5- 13+	2- 3+ 5-  0  0 13+  2  4
Curve Equation t Generators 81120bg1 [0,-1,0,-11210,429792] 4 [-73:924:1] 81120bg2 [0,-1,0,10760,1888600] 2 [2245:106470:1] 81120bg3 [0,-1,0,-36560,-2176188] 2 [-36869:242572:343] 81120bg4 [0,-1,0,-175985,28474497] 4 [39268:786709:64]
81120bh (4 curves)	1	2- 3+ 5- 13+	2- 3+ 5-  0  4 13+ -2 -4
Curve Equation t Generators 81120bh1 [0,-1,0,-270678230,1714038063672] 4 [97809896898563366868:21102874589095935309660:1910917122232357] 81120bh2 [0,-1,0,-252198080,1958101708692] 2 [50334987352284362168476950294825311404239:-10901855906394098567003519306060980846203258:985101075282592447028533571574840607] 81120bh3 [0,-1,0,-289242880,1465479677752] 2 [50274346718820660631731539518967976120558:10804810180644993840137217870743839537152559:980503675154389404144200536783469784] 81120bh4 [0,-1,0,-4330767185,109698599964225] 4 [2437161885718135:3444592939060:64144108027]
81120bi (4 curves)	1	2- 3+ 5- 13+	2- 3+ 5-  0  4 13+ -2  8
Curve Equation t Generators 81120bi1 [0,-1,0,-1070,-4200] 4 [-29:40:1] 81120bi2 [0,-1,0,4000,-36648] 2 [1445:13112:125] 81120bi3 [0,-1,0,-9520,357460] 2 [-108:338:1] 81120bi4 [0,-1,0,-13745,-615135] 2 [-35128:7805:512]
81120bj (4 curves)	1	2- 3+ 5- 13+	2- 3+ 5-  0 -4 13+  6 -4
Curve Equation t Generators 81120bj1 [0,-1,0,-7830,-207000] 4 [460:9660:1] 81120bj2 [0,-1,0,17520,-1291980] 2 [154231:-3383346:343] 81120bj3 [0,-1,0,-40785,3002817] 4 [149:460:1] 81120bj4 [0,-1,0,-117680,-15498120] 2 [112542:1732843:216]
81120bk (1 curve)	1	2- 3+ 5- 13+	2- 3+ 5- -2 -3 13+  2  2
Curve Equation t Generators 81120bk1 [0,-1,0,-9520,-697100] 1 [620:15210:1]
81120bl (4 curves)	1	2- 3+ 5- 13+	2- 3+ 5-  4  4 13+  2 -4
Curve Equation t Generators 81120bl1 [0,-1,0,-14590,469000] 4 [-11305:127512:125] 81120bl2 [0,-1,0,40335,3116385] 2 [3077:171028:1] 81120bl3 [0,-1,0,-90640,-10117160] 2 [-259016685:-900788504:1520875] 81120bl4 [0,-1,0,-212320,37721332] 4 [-356:8250:1]
81120bm (1 curve)	1	2- 3+ 5- 13+	2- 3+ 5- -5 -1 13+  3  6
Curve Equation t Generators 81120bm1 [0,-1,0,3155,-468443] 1 [87:676:1]
81120bn (2 curves)	0	2- 3+ 5- 13-	2- 3+ 5-  4  2 13- -2  8
Curve Equation t 81120bn1 [0,-1,0,-550,-4148] 2 81120bn2 [0,-1,0,-2305,39025] 2
81120bo (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+ -1 -1 13+ -5  2
Curve Equation t Generators 81120bo1 [0,1,0,-21181,-1226965] 1 [485:10140:1]
81120bp (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+ -1  3 13+ -5  2
Curve Equation t Generators 81120bp1 [0,1,0,-7578861,8028438939] 1 [1317:18252:1]
81120bq (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+  2  0 13+  4  2
Curve Equation t Generators 81120bq1 [0,1,0,1634,-6616] 2 [6475:60696:343] 81120bq2 [0,1,0,-6816,-60696] 2 [-58:378:1]
81120br (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+  2  2 13+ -2  2
Curve Equation t Generators 81120br1 [0,1,0,-1789766,919327020] 2 [502:12150:1] 81120br2 [0,1,0,-1173761,1562313039] 2 [706:32955:1]
81120bs (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+  2  4 13+  0 -6
Curve Equation t Generators 81120bs1 [0,1,0,-11886,-831336] 2 [16440938:323070033:39304] 81120bs2 [0,1,0,-223136,-40630836] 2 [89566048570902:619816890671407:157989463416]
81120bt (2 curves)	0	2- 3- 5+ 13-	2- 3- 5+  4  2 13- -2  8
Curve Equation t 81120bt1 [0,1,0,-93006,9485100] 2 81120bt2 [0,1,0,-389601,-84179601] 2
81120bu (2 curves)	2	2- 3- 5+ 13-	2- 3- 5+ -4 -4 13-  0 -8
Curve Equation t Generators 81120bu1 [0,1,0,74,-376] 2 [5:12:1]&[14:60:1] 81120bu2 [0,1,0,-576,-4536] 2 [-18:18:1]&[-10:18:1]
81120bv (4 curves)	0	2- 3- 5- 13+	2- 3- 5-  0  4 13+  6  4
Curve Equation t 81120bv1 [0,1,0,-7830,207000] 4 81120bv2 [0,1,0,17520,1291980] 2 81120bv3 [0,1,0,-40785,-3002817] 2 81120bv4 [0,1,0,-117680,15498120] 4
81120bw (4 curves)	0	2- 3- 5- 13+	2- 3- 5-  0 -4 13+ -2  4
Curve Equation t 81120bw1 [0,1,0,-270678230,-1714038063672] 4 81120bw2 [0,1,0,-252198080,-1958101708692] 2 81120bw3 [0,1,0,-289242880,-1465479677752] 4 81120bw4 [0,1,0,-4330767185,-109698599964225] 2
81120bx (4 curves)	0	2- 3- 5- 13+	2- 3- 5-  0 -4 13+ -2 -8
Curve Equation t 81120bx1 [0,1,0,-1070,4200] 4 81120bx2 [0,1,0,4000,36648] 2 81120bx3 [0,1,0,-9520,-357460] 2 81120bx4 [0,1,0,-13745,615135] 2
81120by (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  1 -1 13+  0 -3
Curve Equation t 81120by1 [0,1,0,1132920,-1770084900] 1
81120bz (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  1 -1 13+ -3 -6
Curve Equation t 81120bz1 [0,1,0,-91485,19161195] 1
81120ca (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  2  3 13+  2 -2
Curve Equation t 81120ca1 [0,1,0,-9520,697100] 1
81120cb (4 curves)	0	2- 3- 5- 13+	2- 3- 5- -4  4 13+  2  4
Curve Equation t 81120cb1 [0,1,0,-38250,-2835000] 4 81120cb2 [0,1,0,4000,-8716200] 2 81120cb3 [0,1,0,-83880,5177628] 2 81120cb4 [0,1,0,-608625,-182959425] 2
81120cc (4 curves)	0	2- 3- 5- 13+	2- 3- 5- -4 -4 13+  2  4
Curve Equation t 81120cc1 [0,1,0,-14590,-469000] 4 81120cc2 [0,1,0,40335,-3116385] 4 81120cc3 [0,1,0,-90640,10117160] 2 81120cc4 [0,1,0,-212320,-37721332] 2
81120cd (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  5  1 13+  3 -6
Curve Equation t 81120cd1 [0,1,0,3155,468443] 1

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