Cremona's table of elliptic curves

124080 = 2⁴ · 3 · 5 · 11 · 47

Class	r	Atkin-Lehner	Eigenvalues
124080a (4 curves)	0	2+ 3+ 5+ 11+ 47-	2+ 3+ 5+  0 11+ -2  2  0
Curve Equation t 124080a1 [0,-1,0,-5191,137050] 2 124080a2 [0,-1,0,-16236,-627264] 4 124080a3 [0,-1,0,35464,-3853344] 2 124080a4 [0,-1,0,-244656,-46494000] 2
124080b (1 curve)	0	2+ 3+ 5+ 11+ 47-	2+ 3+ 5+  3 11+  5 -1 -1
Curve Equation t 124080b1 [0,-1,0,-1118976,-470810064] 1
124080c (2 curves)	0	2+ 3+ 5+ 11- 47+	2+ 3+ 5+  4 11-  0 -4  2
Curve Equation t 124080c1 [0,-1,0,-731,-25650] 2 124080c2 [0,-1,0,-18356,-949200] 2
124080d (2 curves)	0	2+ 3+ 5+ 11- 47+	2+ 3+ 5+  4 11-  4 -4  6
Curve Equation t 124080d1 [0,-1,0,-34171,-2441954] 2 124080d2 [0,-1,0,-548116,-156008720] 2
124080e (2 curves)	0	2+ 3+ 5+ 11- 47+	2+ 3+ 5+ -4 11- -4  4  6
Curve Equation t 124080e1 [0,-1,0,25142629,-4279131030] 2 124080e2 [0,-1,0,-101002316,-34200711984] 2
124080f (2 curves)	1	2+ 3+ 5+ 11- 47-	2+ 3+ 5+  2 11- -2 -2  2
Curve Equation t Generators 124080f1 [0,-1,0,-231,-1350] 2 [634:5495:8] 124080f2 [0,-1,0,-3756,-87360] 2 [249046:1530593:2744]
124080g (1 curve)	1	2+ 3+ 5+ 11- 47-	2+ 3+ 5+  2 11- -5 -8  2
Curve Equation t Generators 124080g1 [0,-1,0,16159,311325] 1 [-5572:72171:343]
124080h (4 curves)	1	2+ 3+ 5+ 11- 47-	2+ 3+ 5+ -4 11- -2 -2  4
Curve Equation t Generators 124080h1 [0,-1,0,-107951,-13615590] 2 [25643071630:30548278440:67419143] 124080h2 [0,-1,0,-111596,-12643104] 4 [-23655:161172:125] 124080h3 [0,-1,0,167584,-66022320] 2 [143002695:-4440289932:166375] 124080h4 [0,-1,0,-449096,102916896] 4 [214:4070:1]
124080i (2 curves)	1	2+ 3+ 5- 11+ 47-	2+ 3+ 5-  4 11+  0 -4 -2
Curve Equation t Generators 124080i1 [0,-1,0,-1515,-183150] 2 [2370:16030:27] 124080i2 [0,-1,0,-58620,-5413968] 2 [364:4620:1]
124080j (2 curves)	1	2+ 3+ 5- 11+ 47-	2+ 3+ 5- -4 11+  4 -8 -6
Curve Equation t Generators 124080j1 [0,-1,0,45,-450] 2 [10:30:1] 124080j2 [0,-1,0,-660,-5808] 2 [-16:20:1]
124080k (1 curve)	1	2+ 3+ 5- 11- 47+	2+ 3+ 5-  3 11-  3  7 -7
Curve Equation t Generators 124080k1 [0,-1,0,-880,12400] 1 [30:110:1]
124080l (2 curves)	2	2+ 3+ 5- 11- 47-	2+ 3+ 5- -2 11- -2 -2 -6
Curve Equation t Generators 124080l1 [0,-1,0,-220,1312] 2 [-3:44:1]&[33:170:1] 124080l2 [0,-1,0,0,3600] 2 [-10:50:1]&[0:60:1]
124080m (2 curves)	0	2+ 3+ 5- 11- 47-	2+ 3+ 5- -2 11-  6  2  2
Curve Equation t 124080m1 [0,-1,0,-8646838980,-309468786033600] 2 124080m2 [0,-1,0,-8257095560,-338630324102208] 2
124080n (4 curves)	0	2+ 3+ 5- 11- 47-	2+ 3+ 5-  4 11- -2 -2  0
Curve Equation t 124080n1 [0,-1,0,-12293775,-16623933750] 2 124080n2 [0,-1,0,-196821900,-1062750780000] 4 124080n3 [0,-1,0,-196943400,-1061372872800] 4 124080n4 [0,-1,0,-3149150400,-68019199297200] 2
124080o (1 curve)	0	2+ 3- 5+ 11+ 47+	2+ 3- 5+ -1 11+ -2 -2 -4
Curve Equation t 124080o1 [0,1,0,39,339] 1
124080p (1 curve)	0	2+ 3- 5+ 11+ 47+	2+ 3- 5+  5 11+  3  5 -5
Curve Equation t 124080p1 [0,1,0,443784,-2585916] 1
124080q (2 curves)	1	2+ 3- 5+ 11+ 47-	2+ 3- 5+  4 11+ -4  4  2
Curve Equation t Generators 124080q1 [0,1,0,-331,1244] 2 [104:1050:1] 124080q2 [0,1,0,1044,10044] 2 [-6:60:1]
124080r (2 curves)	1	2+ 3- 5+ 11+ 47-	2+ 3- 5+ -4 11+ -4  0 -6
Curve Equation t Generators 124080r1 [0,1,0,-1171,-15820] 2 [304:5274:1] 124080r2 [0,1,0,-1116,-17316] 2 [42:108:1]
124080s (2 curves)	1	2+ 3- 5+ 11- 47+	2+ 3- 5+  2 11- -6  2  2
Curve Equation t Generators 124080s1 [0,1,0,-5431,195800] 2 [412:8250:1] 124080s2 [0,1,0,-93556,10982300] 2 [3578:61347:8]
124080t (4 curves)	2	2+ 3- 5+ 11- 47-	2+ 3- 5+  0 11- -6  2 -4
Curve Equation t Generators 124080t1 [0,1,0,-2276,40380] 2 [-14:264:1]&[31:24:1] 124080t2 [0,1,0,-4696,-63196] 4 [-58:132:1]&[-46:240:1] 124080t3 [0,1,0,15984,-451980] 2 [36:414:1]&[54:756:1] 124080t4 [0,1,0,-64096,-6264556] 2 [-148:42:1]&[-145:42:1]
124080u (1 curve)	1	2+ 3- 5- 11+ 47+	2+ 3- 5-  0 11+  0 -5  2
Curve Equation t Generators 124080u1 [0,1,0,-1240,17588] 1 [26:-60:1]
124080v (1 curve)	1	2+ 3- 5- 11+ 47+	2+ 3- 5-  2 11+ -3 -4  2
Curve Equation t Generators 124080v1 [0,1,0,10255,-579525] 1 [1370:19965:8]
124080w (6 curves)	0	2+ 3- 5- 11+ 47-	2+ 3- 5-  0 11+ -2 -6  4
Curve Equation t 124080w1 [0,1,0,-34255,-2303872] 2 124080w2 [0,1,0,-107460,10755900] 4 124080w3 [0,1,0,233760,65487588] 2 124080w4 [0,1,0,-1619960,793020900] 8 124080w5 [0,1,0,-1520960,894278100] 4 124080w6 [0,1,0,-25918960,50780923700] 4
124080x (2 curves)	0	2+ 3- 5- 11- 47+	2+ 3- 5- -2 11-  2 -6  2
Curve Equation t 124080x1 [0,1,0,-236521771860,-44274694440032100] 2 124080x2 [0,1,0,-236521771640,-44274694526514012] 2
124080y (4 curves)	1	2+ 3- 5- 11- 47-	2+ 3- 5-  0 11-  2 -2 -8
Curve Equation t Generators 124080y1 [0,1,0,-5695,-167332] 2 [1073332:23446500:2197] 124080y2 [0,1,0,-5820,-159732] 4 [1946:85800:1] 124080y3 [0,1,0,6280,-726012] 4 [52509:2318030:27] 124080y4 [0,1,0,-19920,894948] 2 [8:858:1]
124080z (1 curve)	0	2- 3+ 5+ 11+ 47+	2- 3+ 5+  2 11+  3  0 -2
Curve Equation t 124080z1 [0,-1,0,-360981,111026781] 1
124080ba (4 curves)	0	2- 3+ 5+ 11+ 47+	2- 3+ 5+ -4 11+  6  6  4
Curve Equation t 124080ba1 [0,-1,0,-28776,1887600] 2 124080ba2 [0,-1,0,-33896,1174896] 4 124080ba3 [0,-1,0,116504,8634736] 2 124080ba4 [0,-1,0,-266216,-51979920] 2
124080bb (4 curves)	1	2- 3+ 5+ 11+ 47-	2- 3+ 5+  0 11+  6  2 -8
Curve Equation t Generators 124080bb1 [0,-1,0,-149216,48258816] 2 [386:6930:1] 124080bb2 [0,-1,0,-3098336,2098487040] 4 [-1310:62510:1] 124080bb3 [0,-1,0,-3820256,1047949056] 2 [-171430:7609462:125] 124080bb4 [0,-1,0,-49562336,134316445440] 4 [79296310:-7214571910:6859]
124080bc (1 curve)	1	2- 3+ 5+ 11+ 47-	2- 3+ 5+ -1 11+  1  3  3
Curve Equation t Generators 124080bc1 [0,-1,0,-11736,493296] 1 [58:66:1]
124080bd (2 curves)	1	2- 3+ 5+ 11+ 47-	2- 3+ 5+  2 11+ -2 -6  6
Curve Equation t Generators 124080bd1 [0,-1,0,-170376,-27008784] 2 [34105236:-926830592:35937] 124080bd2 [0,-1,0,-156296,-31672080] 2 [98076:5873120:27]
124080be (2 curves)	1	2- 3+ 5+ 11+ 47-	2- 3+ 5+ -2 11+  6 -2  2
Curve Equation t Generators 124080be1 [0,-1,0,-176,0] 2 [-11:22:1] 124080be2 [0,-1,0,704,-704] 2 [16:-120:1]
124080bf (4 curves)	1	2- 3+ 5+ 11+ 47-	2- 3+ 5+  4 11+  2  6 -8
Curve Equation t Generators 124080bf1 [0,-1,0,-2641,-24584] 2 [-777492:2531690:19683] 124080bf2 [0,-1,0,-35916,-2606724] 2 [-3531054871350:-1124417540519:32339798856] 124080bf3 [0,-1,0,-104281,12995500] 2 [-278:32571:8] 124080bf4 [0,-1,0,-111156,11191500] 2 [191163:3789234:343]
124080bg (2 curves)	1	2- 3+ 5+ 11+ 47-	2- 3+ 5+  4 11+ -2 -4  4
Curve Equation t Generators 124080bg1 [0,-1,0,-56661,-5309964] 2 [264131907278:674994590645:946966168] 124080bg2 [0,-1,0,-913236,-335605284] 2 [23609436693154301041394:-5727169133457357164866357:401101489154344168]
124080bh (2 curves)	1	2- 3+ 5+ 11+ 47-	2- 3+ 5+  4 11+ -4  3 -2
Curve Equation t Generators 124080bh1 [0,-1,0,-4760216,-3995917584] 1 [1446941652627816566:217244627121638910350:63573749815031] 124080bh2 [0,-1,0,-3310856,-6473648400] 1 [3777202934:137626281250:1225043]
124080bi (4 curves)	1	2- 3+ 5+ 11- 47+	2- 3+ 5+  0 11- -2 -2  0
Curve Equation t Generators 124080bi1 [0,-1,0,-1136696,99262320] 2 [-4173:444664:27] 124080bi2 [0,-1,0,-11049016,-14047600784] 4 [11580016042904:589416979523625:2217342464] 124080bi3 [0,-1,0,-4206136,-31258812560] 2 [154993596309178323:-25684298528928559624:5604655813947] 124080bi4 [0,-1,0,-176489016,-902394224784] 2 [449403464927378764392:-66584819445531817229289:15450156251974144]
124080bj (2 curves)	1	2- 3+ 5- 11+ 47+	2- 3+ 5-  0 11+ -2  2 -4
Curve Equation t Generators 124080bj1 [0,-1,0,-11505,-464628] 2 [-56:30:1] 124080bj2 [0,-1,0,-183380,-30164628] 2 [4829:334170:1]
124080bk (1 curve)	1	2- 3+ 5- 11+ 47+	2- 3+ 5- -1 11+ -3 -6  2
Curve Equation t Generators 124080bk1 [0,-1,0,-61280,11854272] 1 [-286:2430:1]
124080bl (1 curve)	0	2- 3+ 5- 11+ 47-	2- 3+ 5-  0 11+  4  3 -6
Curve Equation t 124080bl1 [0,-1,0,473620840,-8557642241808] 1
124080bm (6 curves)	0	2- 3+ 5- 11+ 47-	2- 3+ 5-  0 11+  6  2 -4
Curve Equation t 124080bm1 [0,-1,0,12400,-7603200] 2 124080bm2 [0,-1,0,-512480,-136513728] 4 124080bm3 [0,-1,0,-1296560,382233600] 8 124080bm4 [0,-1,0,-8126480,-8913932928] 2 124080bm5 [0,-1,0,3653440,2595873600] 4 124080bm6 [0,-1,0,-18791840,31355877312] 4
124080bn (2 curves)	0	2- 3+ 5- 11+ 47-	2- 3+ 5- -2 11+ -6  0  2
Curve Equation t 124080bn1 [0,-1,0,6075,0] 2 124080bn2 [0,-1,0,-24300,24300] 2
124080bo (2 curves)	0	2- 3+ 5- 11- 47+	2- 3+ 5-  1 11-  5 -3  7
Curve Equation t 124080bo1 [0,-1,0,27140,-289508] 1 124080bo2 [0,-1,0,-339460,84412012] 1
124080bp (2 curves)	1	2- 3+ 5- 11- 47-	2- 3+ 5-  1 11- -7  6 -2
Curve Equation t Generators 124080bp1 [0,-1,0,-32920,-2474768] 1 [394:-6750:1] 124080bp2 [0,-1,0,201080,1672432] 1 [514:15510:1]
124080bq (4 curves)	1	2- 3+ 5- 11- 47-	2- 3+ 5- -2 11-  2  6 -2
Curve Equation t Generators 124080bq1 [0,-1,0,-49120,-4083968] 2 [-123:286:1] 124080bq2 [0,-1,0,7200,-12960000] 2 [272:3008:1] 124080bq3 [0,-1,0,-490720,130884352] 2 [357:1034:1] 124080bq4 [0,-1,0,-64800,349977600] 2 [-688:8272:1]
124080br (4 curves)	1	2- 3- 5+ 11+ 47+	2- 3- 5+  0 11+  2  2 -4
Curve Equation t Generators 124080br1 [0,1,0,384,-780] 2 [1929:17000:27] 124080br2 [0,1,0,-1616,-7980] 4 [-30:120:1] 124080br3 [0,1,0,-14816,683700] 2 [300:4830:1] 124080br4 [0,1,0,-20416,-1128460] 2 [-2220:890:27]
124080bs (2 curves)	1	2- 3- 5+ 11+ 47+	2- 3- 5+  2 11+ -4  6 -4
Curve Equation t Generators 124080bs1 [0,1,0,-31721,2164854] 2 [94:150:1] 124080bs2 [0,1,0,-507596,139026504] 2 [367:1518:1]
124080bt (2 curves)	1	2- 3- 5+ 11+ 47+	2- 3- 5+  2 11+ -6  6 -2
Curve Equation t Generators 124080bt1 [0,1,0,-45776,3382740] 2 [154:96:1] 124080bt2 [0,1,0,60704,16884404] 2 [194:6000:1]
124080bu (1 curve)	1	2- 3- 5+ 11+ 47+	2- 3- 5+  5 11+ -7  3  5
Curve Equation t Generators 124080bu1 [0,1,0,-26056,3293300] 1 [-5532:7282:27]
124080bv (1 curve)	0	2- 3- 5+ 11+ 47-	2- 3- 5+  0 11+  0  5  2
Curve Equation t 124080bv1 [0,1,0,-111748736,461039376564] 1
124080bw (2 curves)	0	2- 3- 5+ 11+ 47-	2- 3- 5+  0 11+  6 -4  8
Curve Equation t 124080bw1 [0,1,0,219,-450] 2 124080bw2 [0,1,0,-956,-4680] 2
124080bx (1 curve)	2	2- 3- 5+ 11+ 47-	2- 3- 5+ -2 11+ -1  0 -6
Curve Equation t Generators 124080bx1 [0,1,0,-181,1439] 1 [-13:42:1]&[2:33:1]
124080by (2 curves)	0	2- 3- 5+ 11+ 47-	2- 3- 5+  4 11+  2  0  0
Curve Equation t 124080by1 [0,1,0,-1199901,-540748026] 2 124080by2 [0,1,0,-19559276,-33301216776] 2
124080bz (1 curve)	0	2- 3- 5+ 11- 47+	2- 3- 5+ -5 11-  6  2  4
Curve Equation t 124080bz1 [0,1,0,859,31635] 1
124080ca (2 curves)	1	2- 3- 5+ 11- 47-	2- 3- 5+  2 11-  4 -6  0
Curve Equation t Generators 124080ca1 [0,1,0,-231841,-78961330] 2 [1574:58806:1] 124080ca2 [0,1,0,-4514716,-3691994680] 2 [-1249:66:1]
124080cb (1 curve)	1	2- 3- 5+ 11- 47-	2- 3- 5+ -3 11-  5 -2  6
Curve Equation t Generators 124080cb1 [0,1,0,-56,1044] 1 [4:-30:1]
124080cc (1 curve)	0	2- 3- 5- 11+ 47+	2- 3- 5- -1 11+  1 -6  2
Curve Equation t 124080cc1 [0,1,0,-50480,-4390572] 1
124080cd (1 curve)	0	2- 3- 5- 11+ 47+	2- 3- 5- -1 11+  6  6  4
Curve Equation t 124080cd1 [0,1,0,-154725,-40208877] 1
124080ce (1 curve)	1	2- 3- 5- 11+ 47-	2- 3- 5-  1 11+ -5  7 -1
Curve Equation t Generators 124080ce1 [0,1,0,-63640,13630868] 1 [68:-3102:1]
124080cf (1 curve)	1	2- 3- 5- 11+ 47-	2- 3- 5- -1 11+  3  7 -5
Curve Equation t Generators 124080cf1 [0,1,0,-3345244380,-193797916786872] 1 [172251:65884500:1]
124080cg (1 curve)	1	2- 3- 5- 11+ 47-	2- 3- 5- -3 11+  5 -3  5
Curve Equation t Generators 124080cg1 [0,1,0,-4320,-451980] 1 [108:594:1]
124080ch (2 curves)	1	2- 3- 5- 11+ 47-	2- 3- 5-  4 11+ -2  2  0
Curve Equation t Generators 124080ch1 [0,1,0,-65,138] 2 [-1938:1925:216] 124080ch2 [0,1,0,-340,-2392] 2 [-936894:498275:74088]
124080ci (4 curves)	1	2- 3- 5- 11+ 47-	2- 3- 5-  4 11+ -2 -6  0
Curve Equation t Generators 124080ci1 [0,1,0,-10560,383028] 2 [217574:5415936:343] 124080ci2 [0,1,0,-165440,25845300] 4 [-305:6930:1] 124080ci3 [0,1,0,-161920,27001268] 4 [-422:4512:1] 124080ci4 [0,1,0,-2647040,1656752820] 2 [2703:119406:1]
124080cj (1 curve)	1	2- 3- 5- 11- 47+	2- 3- 5-  1 11-  2 -2 -4
Curve Equation t Generators 124080cj1 [0,1,0,-3565,92663] 1 [71:450:1]
124080ck (2 curves)	1	2- 3- 5- 11- 47+	2- 3- 5- -2 11- -2  6  6
Curve Equation t Generators 124080ck1 [0,1,0,-18800,-997932] 2 [178:1152:1] 124080ck2 [0,1,0,-15280,-1379500] 2 [290:4320:1]
124080cl (4 curves)	0	2- 3- 5- 11- 47-	2- 3- 5-  4 11-  2 -2 -4
Curve Equation t 124080cl1 [0,1,0,-29480,3026100] 2 124080cl2 [0,1,0,-541480,153144500] 4 124080cl3 [0,1,0,-611880,110707380] 2 124080cl4 [0,1,0,-8663080,9811351220] 2
124080cm (2 curves)	0	2- 3- 5- 11- 47-	2- 3- 5- -4 11- -2  0  0
Curve Equation t 124080cm1 [0,1,0,-45,450] 2 124080cm2 [0,1,0,-1220,15960] 2

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