Cremona's table of elliptic curves

74382 = 2 · 3 · 7² · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
74382a (2 curves)	0	2+ 3+ 7- 11+ 23+	2+ 3+  0 7- 11+ -5  3 -5
Curve Equation t 74382a1 [1,1,0,-411625,-101820347] 1 74382a2 [1,1,0,-283000,-166360256] 1
74382b (2 curves)	0	2+ 3+ 7- 11+ 23+	2+ 3+ -4 7- 11+  6  0 -6
Curve Equation t 74382b1 [1,1,0,230863,50677845] 2 74382b2 [1,1,0,-1462577,499439445] 2
74382c (1 curve)	1	2+ 3+ 7- 11+ 23-	2+ 3+  0 7- 11+  1  3  1
Curve Equation t Generators 74382c1 [1,1,0,-61386735,185401902393] 1 [3856:75835:1]
74382d (2 curves)	1	2+ 3+ 7- 11+ 23-	2+ 3+  3 7- 11+ -5  3 -2
Curve Equation t Generators 74382d1 [1,1,0,-224396,32373552] 1 [-2666:68401:8] 74382d2 [1,1,0,-17112491,27239824893] 1 [11446:597601:8]
74382e (2 curves)	1	2+ 3+ 7- 11+ 23-	2+ 3+ -3 7- 11+  1  0 -2
Curve Equation t Generators 74382e1 [1,1,0,-113999,-14882979] 1 [475:5961:1] 74382e2 [1,1,0,173386,-71159724] 1 [24436:444315:64]
74382f (4 curves)	1	2+ 3+ 7- 11- 23+	2+ 3+  0 7- 11-  4  6  4
Curve Equation t Generators 74382f1 [1,1,0,1797540,3786332544] 2 [-1140:16608:1] 74382f2 [1,1,0,-28203200,53485558428] 2 [2281:30930:1] 74382f3 [1,1,0,-139875915,637118063037] 2 [-10842:943149:1] 74382f4 [1,1,0,-2238440075,40762084515069] 2 [1105630:-390108869:8]
74382g (1 curve)	0	2+ 3+ 7- 11- 23-	2+ 3+  1 7- 11- -1 -3 -2
Curve Equation t 74382g1 [1,1,0,-3033517,2032300957] 1
74382h (1 curve)	0	2+ 3+ 7- 11- 23-	2+ 3+  1 7- 11- -5  4  0
Curve Equation t 74382h1 [1,1,0,-3106037,-2108278227] 1
74382i (1 curve)	0	2+ 3+ 7- 11- 23-	2+ 3+ -2 7- 11- -1 -6  4
Curve Equation t 74382i1 [1,1,0,514,-2316] 1
74382j (2 curves)	0	2+ 3+ 7- 11- 23-	2+ 3+ -2 7- 11-  4  4 -6
Curve Equation t 74382j1 [1,1,0,68566949,-412506353699] 2 74382j2 [1,1,0,-591449331,-4661823167595] 2
74382k (1 curve)	0	2+ 3+ 7- 11- 23-	2+ 3+  4 7- 11-  1  1  3
Curve Equation t 74382k1 [1,1,0,5022,-218700] 1
74382l (1 curve)	1	2+ 3- 7- 11+ 23+	2+ 3- -1 7- 11+  5 -3  0
Curve Equation t Generators 74382l1 [1,0,1,-22909,1331768] 1 [82:38:1]
74382m (1 curve)	1	2+ 3- 7- 11+ 23+	2+ 3- -3 7- 11+  1  8 -4
Curve Equation t Generators 74382m1 [1,0,1,-2525,-15081370] 1 [900:26230:1]
74382n (4 curves)	0	2+ 3- 7- 11- 23+	2+ 3-  2 7- 11-  2 -6  0
Curve Equation t 74382n1 [1,0,1,-2160485,1222096208] 2 74382n2 [1,0,1,-2223205,1147359056] 4 74382n3 [1,0,1,2994315,5728341616] 2 74382n4 [1,0,1,-8444245,-8216550352] 2
74382o (1 curve)	0	2+ 3- 7- 11- 23+	2+ 3-  2 7- 11- -7  6  0
Curve Equation t 74382o1 [1,0,1,562935,-3515989172] 1
74382p (1 curve)	0	2+ 3- 7- 11- 23+	2+ 3- -3 7- 11-  3 -4 -6
Curve Equation t 74382p1 [1,0,1,28980240,-113448656450] 1
74382q (1 curve)	0	2+ 3- 7- 11- 23+	2+ 3- -3 7- 11- -3 -1  0
Curve Equation t 74382q1 [1,0,1,-7021285,-7161334960] 1
74382r (1 curve)	1	2+ 3- 7- 11- 23-	2+ 3-  1 7- 11- -1 -3 -2
Curve Equation t Generators 74382r1 [1,0,1,-1398,-19946] 1 [-22:27:1]
74382s (4 curves)	1	2+ 3- 7- 11- 23-	2+ 3-  2 7- 11-  6 -2 -4
Curve Equation t Generators 74382s1 [1,0,1,-49075,-4188082] 2 [271:1424:1] 74382s2 [1,0,1,-52995,-3480914] 4 [-136:1170:1] 74382s3 [1,0,1,132225,-22373354] 2 [209:3690:1] 74382s4 [1,0,1,-300935,60685958] 2 [-402:11005:1]
74382t (4 curves)	1	2+ 3- 7- 11- 23-	2+ 3- -2 7- 11-  2  6  4
Curve Equation t Generators 74382t1 [1,0,1,-3407,139010] 2 [368:6798:1] 74382t2 [1,0,1,-66127,6536450] 4 [-185:3620:1] 74382t3 [1,0,1,-77887,4048034] 2 [267:1384:1] 74382t4 [1,0,1,-1057887,418711906] 2 [578:372:1]
74382u (2 curves)	1	2- 3+ 7- 11+ 23+	2- 3+  0 7- 11+  1  3 -5
Curve Equation t Generators 74382u1 [1,1,1,-18441820958,963971259390299] 1 [1025067:481377757:27] 74382u2 [1,1,1,-1493800617758,702727065966594395] 1 [19028451:25292029:27]
74382v (2 curves)	1	2- 3+ 7- 11+ 23+	2- 3+  0 7- 11+ -6 -4  2
Curve Equation t Generators 74382v1 [1,1,1,-190023,-31998471] 2 [25166:1384831:8] 74382v2 [1,1,1,-3041333,-2042742283] 2 [801147570:-38631996331:238328]
74382w (1 curve)	1	2- 3+ 7- 11+ 23+	2- 3+ -1 7- 11+  5 -5  4
Curve Equation t Generators 74382w1 [1,1,1,-2451,153957] 1 [-69:56:1]
74382x (6 curves)	1	2- 3+ 7- 11+ 23+	2- 3+  2 7- 11+  2 -2  4
Curve Equation t Generators 74382x1 [1,1,1,5106583,-568213801] 2 [164849:66855446:1] 74382x2 [1,1,1,-20612537,-4590684169] 4 [11363709937:4606868693926:68921] 74382x3 [1,1,1,-211203917,1175932323551] 4 [-24076305987839618732304:2327400388685769724685491:1811065510381514752] 74382x4 [1,1,1,-241527077,-1442037413041] 2 [13366054089717692945:5400243990119224852478:80929889806375] 74382x5 [1,1,1,-96892307,2444013875603] 2 [49746961491010507774258291899684280688979170614:-20199312995701517750108335550593139716534941883495:301569992881962883485635999615912099028296] 74382x6 [1,1,1,-3374977607,75465135093179] 2 [149877203043340632:-80151779355629317:4469294786048]
74382y (2 curves)	1	2- 3+ 7- 11+ 23+	2- 3+  3 7- 11+  7  3 -8
Curve Equation t Generators 74382y1 [1,1,1,-6224,-102607] 1 [-27:229:1] 74382y2 [1,1,1,-235544,43898609] 1 [267:229:1]
74382z (2 curves)	1	2- 3+ 7- 11+ 23+	2- 3+ -3 7- 11+  1 -3  4
Curve Equation t Generators 74382z1 [1,1,1,2253,24177] 1 [3:174:1] 74382z2 [1,1,1,-44787,3693297] 1 [45:1308:1]
74382ba (2 curves)	2	2- 3+ 7- 11+ 23-	2- 3+  0 7- 11+ -6 -6  2
Curve Equation t Generators 74382ba1 [1,1,1,-288,64833] 2 [13:245:1]&[-218:1953:8] 74382ba2 [1,1,1,-26048,1589825] 2 [-127:1757:1]&[-57:1729:1]
74382bb (1 curve)	0	2- 3+ 7- 11- 23+	2- 3+  1 7- 11- -1 -7  0
Curve Equation t 74382bb1 [1,1,1,-3235,64679] 1
74382bc (1 curve)	0	2- 3+ 7- 11- 23+	2- 3+  2 7- 11- -5  3  5
Curve Equation t 74382bc1 [1,1,1,-617,-9241] 1
74382bd (2 curves)	0	2- 3+ 7- 11- 23+	2- 3+ -2 7- 11-  0  6  2
Curve Equation t 74382bd1 [1,1,1,-18544,2693165] 2 74382bd2 [1,1,1,-425874,106643781] 2
74382be (4 curves)	0	2- 3+ 7- 11- 23+	2- 3+ -2 7- 11-  2  2  0
Curve Equation t 74382be1 [1,1,1,-8130914,-14806054033] 2 74382be2 [1,1,1,-152637794,-725664298129] 4 74382be3 [1,1,1,-175405154,-494948978833] 2 74382be4 [1,1,1,-2441980514,-46448417101969] 2
74382bf (1 curve)	0	2- 3+ 7- 11- 23+	2- 3+ -2 7- 11- -3  2  0
Curve Equation t 74382bf1 [1,1,1,-589,5585] 1
74382bg (2 curves)	0	2- 3+ 7- 11- 23+	2- 3+  4 7- 11-  0  2  0
Curve Equation t 74382bg1 [1,1,1,189139,-10572829] 2 74382bg2 [1,1,1,-802621,-87930109] 2
74382bh (1 curve)	1	2- 3+ 7- 11- 23-	2- 3+  1 7- 11- -3  0  6
Curve Equation t Generators 74382bh1 [1,1,1,-5685,-1635621] 1 [279:-4452:1]
74382bi (1 curve)	1	2- 3+ 7- 11- 23-	2- 3+  1 7- 11-  5 -1  6
Curve Equation t Generators 74382bi1 [1,1,1,-1065065,-301214761] 1 [-441:-8888:1]
74382bj (4 curves)	1	2- 3+ 7- 11- 23-	2- 3+ -2 7- 11- -2 -2  0
Curve Equation t Generators 74382bj1 [1,1,1,-6469,-187573] 2 [-41:124:1] 74382bj2 [1,1,1,-22149,1048011] 4 [-77:1556:1] 74382bj3 [1,1,1,42531,6093051] 2 [21:2634:1] 74382bj4 [1,1,1,-337709,75393947] 2 [321:-602:1]
74382bk (1 curve)	1	2- 3- 7+ 11+ 23+	2- 3-  1 7+ 11+ -5  5 -4
Curve Equation t Generators 74382bk1 [1,0,0,-50,-456] 1 [60:432:1]
74382bl (2 curves)	1	2- 3- 7+ 11+ 23+	2- 3-  3 7+ 11+ -1  3 -4
Curve Equation t Generators 74382bl1 [1,0,0,110396,-7961584] 3 [680:19196:1] 74382bl2 [1,0,0,-2194564,-1273384624] 1 [253070:6226328:125]
74382bm (1 curve)	0	2- 3- 7- 11+ 23+	2- 3- -2 7- 11+ -1 -2 -4
Curve Equation t 74382bm1 [1,0,0,-156040599,-751896009495] 1
74382bn (1 curve)	0	2- 3- 7- 11+ 23+	2- 3-  3 7- 11+ -1  3 -4
Curve Equation t 74382bn1 [1,0,0,-29009,1897167] 1
74382bo (2 curves)	1	2- 3- 7- 11+ 23-	2- 3-  0 7- 11+ -2  8  6
Curve Equation t Generators 74382bo1 [1,0,0,2057,21545] 2 [-2:133:1] 74382bo2 [1,0,0,-9703,183833] 2 [292:4573:1]
74382bp (2 curves)	1	2- 3- 7- 11+ 23-	2- 3-  0 7- 11+  6  6 -2
Curve Equation t Generators 74382bp1 [1,0,0,-14113,-22280119] 2 [482:-9349:1] 74382bp2 [1,0,0,-1276353,-549139095] 2 [-682:2399:1]
74382bq (1 curve)	1	2- 3- 7- 11+ 23-	2- 3-  3 7- 11+  1 -7  6
Curve Equation t Generators 74382bq1 [1,0,0,-8837494,-10072278364] 1 [-1780:5306:1]
74382br (1 curve)	1	2- 3- 7- 11+ 23-	2- 3- -4 7- 11+  1 -7 -1
Curve Equation t Generators 74382br1 [1,0,0,-62035,27867461] 1 [2174:99755:1]
74382bs (1 curve)	1	2- 3- 7- 11- 23+	2- 3-  1 7- 11- -1  1 -4
Curve Equation t Generators 74382bs1 [1,0,0,-124020,-15607152] 1 [-216:1164:1]
74382bt (1 curve)	1	2- 3- 7- 11- 23+	2- 3-  1 7- 11- -1 -4  6
Curve Equation t Generators 74382bt1 [1,0,0,16610,96074] 1 [2398:44077:8]
74382bu (2 curves)	1	2- 3- 7- 11- 23+	2- 3-  2 7- 11-  0 -6 -2
Curve Equation t Generators 74382bu1 [1,0,0,-908657,-926481627] 2 [1366:18853:1] 74382bu2 [1,0,0,-20867827,-36641420425] 2 [373822:80219269:8]
74382bv (4 curves)	1	2- 3- 7- 11- 23+	2- 3- -2 7- 11-  2  2  0
Curve Equation t Generators 74382bv1 [1,0,0,731961,-3350808567] 4 [1446:26325:1] 74382bv2 [1,0,0,-29624519,-60050641911] 4 [-3440:35677:1] 74382bv3 [1,0,0,-75245479,169486656233] 2 [-4294:645125:1] 74382bv4 [1,0,0,-469707239,-3918255848151] 2 [-12512:8461:1]
74382bw (1 curve)	1	2- 3- 7- 11- 23+	2- 3- -2 7- 11-  5 -3 -5
Curve Equation t Generators 74382bw1 [1,0,0,-30234,3078900] 1 [102:-1080:1]
74382bx (1 curve)	0	2- 3- 7- 11- 23-	2- 3-  0 7- 11-  1 -5  5
Curve Equation t 74382bx1 [1,0,0,-638,6600] 1

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