Cremona's table of elliptic curves

127920 = 2⁴ · 3 · 5 · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
127920a (2 curves)	0	2+ 3+ 5+ 13+ 41-	2+ 3+ 5+  4  0 13+  2 -2
Curve Equation t 127920a1 [0,-1,0,-40511,-3091914] 2 127920a2 [0,-1,0,-7556,-8008800] 2
127920b (2 curves)	2	2+ 3+ 5+ 13- 41+	2+ 3+ 5+ -2  0 13- -2 -4
Curve Equation t Generators 127920b1 [0,-1,0,-150116,22436736] 2 [220:104:1]&[-32:5216:1] 127920b2 [0,-1,0,-149936,22493040] 2 [-187:6630:1]&[86:3198:1]
127920c (1 curve)	1	2+ 3+ 5+ 13- 41-	2+ 3+ 5+  0 -3 13-  3  4
Curve Equation t Generators 127920c1 [0,-1,0,-29881,2253925] 1 [4932:40625:64]
127920d (2 curves)	1	2+ 3+ 5+ 13- 41-	2+ 3+ 5+  2  0 13-  4  2
Curve Equation t Generators 127920d1 [0,-1,0,-37674616,-89011387520] 2 [33656:6063408:1] 127920d2 [0,-1,0,-602826816,-5696677576800] 2 [27636669:3712405762:729]
127920e (1 curve)	1	2+ 3+ 5+ 13- 41-	2+ 3+ 5+  2  0 13- -6 -8
Curve Equation t Generators 127920e1 [0,-1,0,279,405] 1 [380:7405:1]
127920f (2 curves)	1	2+ 3+ 5+ 13- 41-	2+ 3+ 5+ -2  0 13-  0  2
Curve Equation t Generators 127920f1 [0,-1,0,-560216,161692416] 2 [448:656:1] 127920f2 [0,-1,0,-8965216,10335104416] 2 [325:86346:1]
127920g (2 curves)	0	2+ 3+ 5- 13+ 41+	2+ 3+ 5-  0  0 13+  2 -6
Curve Equation t 127920g1 [0,-1,0,-2870655,1873015722] 2 127920g2 [0,-1,0,-2854860,1894629600] 2
127920h (2 curves)	0	2+ 3+ 5- 13+ 41+	2+ 3+ 5-  0 -4 13+  2  2
Curve Equation t 127920h1 [0,-1,0,-55,-98] 2 127920h2 [0,-1,0,140,-800] 2
127920i (2 curves)	2	2+ 3+ 5- 13+ 41+	2+ 3+ 5- -2 -4 13+ -4 -4
Curve Equation t Generators 127920i1 [0,-1,0,-2720,56400] 2 [-20:320:1]&[22:-82:1] 127920i2 [0,-1,0,-43720,3533200] 2 [120:-20:1]&[-230:1170:1]
127920j (4 curves)	1	2+ 3+ 5- 13+ 41-	2+ 3+ 5-  0  4 13+ -2 -8
Curve Equation t Generators 127920j1 [0,-1,0,1065,17850] 2 [50:440:1] 127920j2 [0,-1,0,-7340,189312] 4 [4:400:1] 127920j3 [0,-1,0,-39320,-2829600] 2 [265:2300:1] 127920j4 [0,-1,0,-109840,14047312] 2 [24:3380:1]
127920k (2 curves)	1	2+ 3+ 5- 13+ 41-	2+ 3+ 5-  0  6 13+  2  4
Curve Equation t Generators 127920k1 [0,-1,0,200,7552] 2 [9:100:1] 127920k2 [0,-1,0,-4800,123552] 2 [-6:390:1]
127920l (2 curves)	1	2+ 3+ 5- 13- 41+	2+ 3+ 5-  4  0 13-  2 -2
Curve Equation t Generators 127920l1 [0,-1,0,780,-3168] 2 [788:22120:1] 127920l2 [0,-1,0,-3320,-22848] 2 [-8:56:1]
127920m (4 curves)	0	2+ 3+ 5- 13- 41-	2+ 3+ 5-  0  0 13-  2  0
Curve Equation t 127920m1 [0,-1,0,-11575,-475478] 2 127920m2 [0,-1,0,-11980,-440000] 4 127920m3 [0,-1,0,18440,-2338208] 4 127920m4 [0,-1,0,-48880,3722320] 4
127920n (2 curves)	0	2+ 3+ 5- 13- 41-	2+ 3+ 5-  2  0 13-  6 -4
Curve Equation t 127920n1 [0,-1,0,-780,-7488] 2 127920n2 [0,-1,0,840,-36000] 2
127920o (1 curve)	0	2+ 3- 5+ 13+ 41+	2+ 3- 5+  1  2 13+  6 -5
Curve Equation t 127920o1 [0,1,0,-7496,-290796] 1
127920p (1 curve)	1	2+ 3- 5+ 13+ 41-	2+ 3- 5+  1 -2 13+ -2 -3
Curve Equation t Generators 127920p1 [0,1,0,-11829935456,-495251033115756] 1 [328012:175829238:1]
127920q (2 curves)	1	2+ 3- 5+ 13+ 41-	2+ 3- 5+ -2 -2 13+ -8 -6
Curve Equation t Generators 127920q1 [0,1,0,-3513336,2533535460] 2 [1064:1014:1] 127920q2 [0,1,0,-3518336,2525957460] 2 [1156:2214:1]
127920r (4 curves)	1	2+ 3- 5+ 13- 41+	2+ 3- 5+  0  4 13- -2 -8
Curve Equation t Generators 127920r1 [0,1,0,-1916,51084] 2 [270:4392:1] 127920r2 [0,1,0,-35536,2565860] 4 [-136:2214:1] 127920r3 [0,1,0,-40456,1804244] 2 [-140:2178:1] 127920r4 [0,1,0,-568536,164811060] 2 [426:324:1]
127920s (2 curves)	0	2+ 3- 5+ 13- 41-	2+ 3- 5+  4  0 13-  6 -6
Curve Equation t 127920s1 [0,1,0,-1591,23420] 2 127920s2 [0,1,0,164,73964] 2
127920t (1 curve)	1	2+ 3- 5- 13+ 41+	2+ 3- 5-  2 -4 13+ -2  8
Curve Equation t Generators 127920t1 [0,1,0,-440825,112681875] 1 [550:6075:1]
127920u (4 curves)	1	2+ 3- 5- 13+ 41+	2+ 3- 5- -4 -4 13+ -2 -4
Curve Equation t Generators 127920u1 [0,1,0,-900,-10692] 2 [63:432:1] 127920u2 [0,1,0,-1080,-6300] 4 [-10:60:1] 127920u3 [0,1,0,3840,-43692] 2 [236:3750:1] 127920u4 [0,1,0,-8880,315060] 2 [68:174:1]
127920v (4 curves)	0	2+ 3- 5- 13+ 41-	2+ 3- 5-  4  4 13+  2  4
Curve Equation t 127920v1 [0,1,0,-21620,-1224900] 2 127920v2 [0,1,0,-34120,340100] 4 127920v3 [0,1,0,134880,2841300] 4 127920v4 [0,1,0,-403120,98198900] 2
127920w (1 curve)	0	2- 3+ 5+ 13+ 41+	2- 3+ 5+  4  1 13+  5  0
Curve Equation t 127920w1 [0,-1,0,-53381,4772781] 1
127920x (1 curve)	1	2- 3+ 5+ 13+ 41-	2- 3+ 5+  0 -2 13+ -6  4
Curve Equation t Generators 127920x1 [0,-1,0,-21,285] 1 [-4:17:1]
127920y (4 curves)	1	2- 3+ 5+ 13+ 41-	2- 3+ 5+  0  4 13+  6  4
Curve Equation t Generators 127920y1 [0,-1,0,-72296,-7457424] 2 [199880:2490653:512] 127920y2 [0,-1,0,-77416,-6335120] 4 [1353:48620:1] 127920y3 [0,-1,0,181784,-39927440] 2 [349:8118:1] 127920y4 [0,-1,0,-418536,99002736] 2 [1858571:62928900:1331]
127920z (1 curve)	1	2- 3+ 5+ 13+ 41-	2- 3+ 5+  0  6 13+  2 -4
Curve Equation t Generators 127920z1 [0,-1,0,-37858101,-89644831875] 1 [47063837176609101303633116102618304846946776905469835975093234311004840401031314973011867652008467055989527854440581332123179203718684:3001788621103414385068992563641552381301446962787268493605522619951017391583083550361926064987453439384668580811187875305728693938216573:5101341195133171518913404010065172817428915367079938420006649261509127592226060911129899174849924257628220919172684984827276567239]
127920ba (1 curve)	1	2- 3+ 5+ 13+ 41-	2- 3+ 5+ -2  4 13+  2  0
Curve Equation t Generators 127920ba1 [0,-1,0,-8581,-304979] 1 [10188:1028239:1]
127920bb (1 curve)	1	2- 3+ 5+ 13+ 41-	2- 3+ 5+  3 -6 13+  2  5
Curve Equation t Generators 127920bb1 [0,-1,0,-705656,229497456] 1 [258:8034:1]
127920bc (1 curve)	1	2- 3+ 5+ 13+ 41-	2- 3+ 5+ -4 -3 13+  7 -4
Curve Equation t Generators 127920bc1 [0,-1,0,2945556099,30414407396385] 1 [1539233:1910856250:1]
127920bd (1 curve)	1	2- 3+ 5+ 13- 41+	2- 3+ 5+ -1  6 13- -2 -1
Curve Equation t Generators 127920bd1 [0,-1,0,-114816,15014016] 1 [200:104:1]
127920be (4 curves)	1	2- 3+ 5+ 13- 41+	2- 3+ 5+ -4  4 13-  2  4
Curve Equation t Generators 127920be1 [0,-1,0,-1656,-11664] 2 [45:54:1] 127920be2 [0,-1,0,-13176,578160] 4 [28:480:1] 127920be3 [0,-1,0,-696,1616496] 2 [106:1650:1] 127920be4 [0,-1,0,-209976,37104240] 2 [274:258:1]
127920bf (2 curves)	2	2- 3+ 5+ 13- 41-	2- 3+ 5+  0  4 13- -6 -6
Curve Equation t Generators 127920bf1 [0,-1,0,107984,26132416] 2 [-174:1430:1]&[21:5330:1] 127920bf2 [0,-1,0,-941616,297349056] 2 [8:17024:1]&[200:10816:1]
127920bg (2 curves)	0	2- 3+ 5+ 13- 41-	2- 3+ 5+  2  2 13-  0 -6
Curve Equation t 127920bg1 [0,-1,0,-241696,39243520] 2 127920bg2 [0,-1,0,-1060896,-382152960] 2
127920bh (2 curves)	0	2- 3+ 5+ 13- 41-	2- 3+ 5+  4 -4 13- -2 -6
Curve Equation t 127920bh1 [0,-1,0,45095264,67514962240] 2 127920bh2 [0,-1,0,-211154736,581449962240] 2
127920bi (4 curves)	1	2- 3+ 5- 13+ 41+	2- 3+ 5-  0 -4 13+ -6 -8
Curve Equation t Generators 127920bi1 [0,-1,0,1520,-257600] 2 [120:1280:1] 127920bi2 [0,-1,0,-52560,-4454208] 4 [-136:400:1] 127920bi3 [0,-1,0,-137840,13761600] 2 [-320:5000:1] 127920bi4 [0,-1,0,-832560,-292118208] 2 [-526:10:1]
127920bj (2 curves)	1	2- 3+ 5- 13+ 41+	2- 3+ 5-  2  4 13+  0 -8
Curve Equation t Generators 127920bj1 [0,-1,0,-188040,-85712400] 2 [1220:38720:1] 127920bj2 [0,-1,0,-4288040,-3411632400] 2 [20010:310365:8]
127920bk (1 curve)	1	2- 3+ 5- 13+ 41+	2- 3+ 5-  5 -2 13+  6  1
Curve Equation t Generators 127920bk1 [0,-1,0,-1080,36720] 1 [82:702:1]
127920bl (4 curves)	2	2- 3+ 5- 13+ 41-	2- 3+ 5-  0  0 13+ -2 -4
Curve Equation t Generators 127920bl1 [0,-1,0,400,0] 2 [1:20:1]&[10:70:1] 127920bl2 [0,-1,0,-1600,1600] 4 [-38:78:1]&[-24:160:1] 127920bl3 [0,-1,0,-17200,-859520] 2 [-78:38:1]&[362:6342:1] 127920bl4 [0,-1,0,-18000,933120] 2 [-144:720:1]&[-88:1352:1]
127920bm (4 curves)	0	2- 3+ 5- 13+ 41-	2- 3+ 5-  0  4 13+  6  4
Curve Equation t 127920bm1 [0,-1,0,-170160,-51854400] 2 127920bm2 [0,-1,0,-3370160,-2378894400] 4 127920bm3 [0,-1,0,-4026160,-1386497600] 2 127920bm4 [0,-1,0,-53914160,-152353051200] 2
127920bn (2 curves)	2	2- 3+ 5- 13+ 41-	2- 3+ 5- -2 -6 13+  4 -2
Curve Equation t Generators 127920bn1 [0,-1,0,-20840,1164912] 2 [-166:150:1]&[4:1040:1] 127920bn2 [0,-1,0,-21640,1071472] 2 [-3:1066:1]&[2:1014:1]
127920bo (1 curve)	0	2- 3+ 5- 13- 41+	2- 3+ 5- -2  4 13-  2  8
Curve Equation t 127920bo1 [0,-1,0,-2685,-116703] 1
127920bp (2 curves)	0	2- 3+ 5- 13- 41+	2- 3+ 5-  4  4 13-  2  2
Curve Equation t 127920bp1 [0,-1,0,-4360,113392] 2 127920bp2 [0,-1,0,-69960,7145712] 2
127920bq (2 curves)	0	2- 3+ 5- 13- 41+	2- 3+ 5-  4 -6 13-  6  4
Curve Equation t 127920bq1 [0,-1,0,-325,-2375] 1 127920bq2 [0,-1,0,2075,4105] 1
127920br (2 curves)	1	2- 3+ 5- 13- 41-	2- 3+ 5-  2  2 13- -4  6
Curve Equation t Generators 127920br1 [0,-1,0,-1817080,927372400] 2 [-740:43200:1] 127920br2 [0,-1,0,-3817080,-1479027600] 2 [-990:36450:1]
127920bs (2 curves)	1	2- 3- 5+ 13+ 41+	2- 3- 5+  0 -2 13+ -6  0
Curve Equation t Generators 127920bs1 [0,1,0,-81,234] 2 [-10:12:1] 127920bs2 [0,1,0,-276,-1560] 2 [9489:177940:27]
127920bt (2 curves)	0	2- 3- 5+ 13+ 41-	2- 3- 5+  2  4 13+  2 -8
Curve Equation t 127920bt1 [0,1,0,-3193336,1908853460] 2 127920bt2 [0,1,0,5204744,10263263444] 2
127920bu (2 curves)	2	2- 3- 5+ 13+ 41-	2- 3- 5+ -4  0 13+ -6 -2
Curve Equation t Generators 127920bu1 [0,1,0,-976,16340] 2 [-28:150:1]&[2:120:1] 127920bu2 [0,1,0,-17376,875700] 2 [-150:360:1]&[66:144:1]
127920bv (4 curves)	0	2- 3- 5+ 13+ 41-	2- 3- 5+ -4 -4 13+  6  4
Curve Equation t 127920bv1 [0,1,0,-695176,-197448460] 2 127920bv2 [0,1,0,-2794696,1593862004] 4 127920bv3 [0,1,0,4112984,8233524020] 2 127920bv4 [0,1,0,-43294696,109631662004] 2
127920bw (4 curves)	0	2- 3- 5+ 13- 41+	2- 3- 5+  0  4 13-  2 -4
Curve Equation t 127920bw1 [0,1,0,-696,14484] 2 127920bw2 [0,1,0,-14216,647220] 4 127920bw3 [0,1,0,-17336,338964] 2 127920bw4 [0,1,0,-227416,41666900] 2
127920bx (2 curves)	0	2- 3- 5+ 13- 41+	2- 3- 5+  2  4 13- -2  0
Curve Equation t 127920bx1 [0,1,0,-696,3924] 2 127920bx2 [0,1,0,2184,30420] 2
127920by (1 curve)	2	2- 3- 5+ 13- 41+	2- 3- 5+ -4  3 13- -3 -4
Curve Equation t Generators 127920by1 [0,1,0,-221,5079] 1 [34:-195:1]&[19:90:1]
127920bz (2 curves)	1	2- 3- 5+ 13- 41-	2- 3- 5+  2 -4 13-  4  0
Curve Equation t Generators 127920bz1 [0,1,0,-8736,598260] 2 [26:624:1] 127920bz2 [0,1,0,-172736,27559860] 2 [274:-936:1]
127920ca (2 curves)	1	2- 3- 5+ 13- 41-	2- 3- 5+ -4  2 13-  6  4
Curve Equation t Generators 127920ca1 [0,1,0,1384,-235116] 2 [55:102:1] 127920ca2 [0,1,0,-49816,-4146796] 2 [-148:78:1]
127920cb (2 curves)	0	2- 3- 5- 13+ 41+	2- 3- 5-  2  4 13+ -6  8
Curve Equation t 127920cb1 [0,1,0,-22160,-1277100] 2 127920cb2 [0,1,0,-21440,-1363212] 2
127920cc (2 curves)	1	2- 3- 5- 13+ 41-	2- 3- 5-  0  2 13+  2  4
Curve Equation t Generators 127920cc1 [0,1,0,-2265,-38070] 2 [-1611596482:-2974007280:51895117] 127920cc2 [0,1,0,-35220,-2555832] 2 [-229306171986166400720:-10765994395600575753:2112524834467328000]
127920cd (1 curve)	1	2- 3- 5- 13+ 41-	2- 3- 5- -1 -2 13+  2 -5
Curve Equation t Generators 127920cd1 [0,1,0,5400,4744500] 1 [-4020:21970:27]
127920ce (2 curves)	1	2- 3- 5- 13+ 41-	2- 3- 5-  2  0 13+ -4  2
Curve Equation t Generators 127920ce1 [0,1,0,-63480,-14057772] 2 [113393:375150:343] 127920ce2 [0,1,0,-1343480,-599273772] 2 [1356:8610:1]
127920cf (1 curve)	1	2- 3- 5- 13- 41+	2- 3- 5- -2  0 13- -2  0
Curve Equation t Generators 127920cf1 [0,1,0,5915,-201517] 1 [86:975:1]
127920cg (1 curve)	1	2- 3- 5- 13- 41+	2- 3- 5-  3  2 13-  6 -7
Curve Equation t Generators 127920cg1 [0,1,0,3502960,7692074388] 1 [2746:195000:1]
127920ch (2 curves)	0	2- 3- 5- 13- 41-	2- 3- 5-  0  2 13-  6  8
Curve Equation t 127920ch1 [0,1,0,-124345,-16609870] 2 127920ch2 [0,1,0,-266500,28254248] 2
127920ci (6 curves)	0	2- 3- 5- 13- 41-	2- 3- 5-  0  4 13-  2  4
Curve Equation t 127920ci1 [0,1,0,-52800,-4847052] 2 127920ci2 [0,1,0,-852800,-303407052] 4 127920ci3 [0,1,0,-860800,-297432652] 8 127920ci4 [0,1,0,-13644800,-19404421452] 2 127920ci5 [0,1,0,356000,-1069857292] 4 127920ci6 [0,1,0,-2205600,857481588] 4
127920cj (2 curves)	0	2- 3- 5- 13- 41-	2- 3- 5-  4  2 13- -6  0
Curve Equation t 127920cj1 [0,1,0,320,-4300] 2 127920cj2 [0,1,0,-2880,-51660] 2

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