Cremona's table of elliptic curves

74529 = 3² · 7² · 13²

Class	r	Atkin-Lehner	Eigenvalues
74529a (2 curves)	1	3+ 7+ 13+	0 3+  0 7+  0 13+  0  1
Curve Equation t Generators 74529a1 [0,0,1,0,222868623] 1 [65901883:2282827265:68921] 74529a2 [0,0,1,0,-6017452828] 1 [552745798484384112828622680:-9853853387221167401143016708:286215712234679391832387]
74529b (2 curves)	1	3+ 7+ 13+	0 3+  0 7+  0 13+  0 -1
Curve Equation t Generators 74529b1 [0,0,1,0,101442] 3 [-40:193:1] 74529b2 [0,0,1,0,-2738941] 1 [147:661:1]
74529c (2 curves)	1	3+ 7+ 13+	0 3+  0 7+  0 13+  0  7
Curve Equation t Generators 74529c1 [0,0,1,0,26913] 1 [29:226:1] 74529c2 [0,0,1,0,-726658] 1 [3829218:43230506:24389]
74529d (2 curves)	0	3+ 7- 13+	0 3+  0 7-  0 13+  0  1
Curve Equation t 74529d1 [0,0,1,0,-296] 1 74529d2 [0,0,1,0,7985] 1
74529e (2 curves)	0	3+ 7- 13+	0 3+  0 7-  0 13+  0 -1
Curve Equation t 74529e1 [0,0,1,0,-649763] 1 74529e2 [0,0,1,0,17543594] 1
74529f (2 curves)	0	3+ 7- 13+	0 3+  0 7-  0 13+  0 -7
Curve Equation t 74529f1 [0,0,1,0,-9231245] 1 74529f2 [0,0,1,0,249243608] 1
74529g (2 curves)	0	3+ 7- 13+	0 3+  0 7-  0 13+  0  8
Curve Equation t 74529g1 [0,0,1,0,-1115] 1 74529g2 [0,0,1,0,30098] 1
74529h (2 curves)	0	3+ 7- 13+	0 3+  0 7-  0 13+  0 -8
Curve Equation t 74529h1 [0,0,1,0,-2449106] 1 74529h2 [0,0,1,0,66125855] 1
74529i (2 curves)	0	3+ 7- 13+	1 3+  0 7-  0 13+ -2 -4
Curve Equation t 74529i1 [1,-1,0,-38817,-2321656] 2 74529i2 [1,-1,0,85398,-14221453] 2
74529j (2 curves)	0	3+ 7- 13+	-1 3+  0 7-  0 13+  2 -4
Curve Equation t 74529j1 [1,-1,1,-349355,63034066] 2 74529j2 [1,-1,1,768580,383210650] 2
74529k (2 curves)	0	3- 7+ 13+	0 3-  0 7+  6 13+  6 -1
Curve Equation t 74529k1 [0,0,1,-22607130,43219369170] 1 74529k2 [0,0,1,-1853784660,30721119647013] 3
74529l (2 curves)	0	3- 7+ 13+	0 3-  0 7+ -6 13+  6  1
Curve Equation t 74529l1 [0,0,1,-133770,19671993] 1 74529l2 [0,0,1,-10969140,13983213312] 1
74529m (2 curves)	0	3- 7+ 13+	1 3-  0 7+ -3 13+ -7  7
Curve Equation t 74529m1 [1,-1,0,-163032,-25301431] 1 74529m2 [1,-1,0,954903,1047692582] 1
74529n (1 curve)	0	3- 7+ 13+	1 3-  3 7+ -3 13+  2  1
Curve Equation t 74529n1 [1,-1,0,-2508,26963] 1
74529o (1 curve)	0	3- 7+ 13+	-1 3- -3 7+  3 13+  2 -1
Curve Equation t 74529o1 [1,-1,1,-423884,57966094] 1
74529p (1 curve)	0	3- 7+ 13+	-1 3-  4 7+ -5 13+ -3  5
Curve Equation t 74529p1 [1,-1,1,1489027,2804442554] 1
74529q (2 curves)	0	3- 7+ 13+	2 3- -2 7+ -2 13+  0 -1
Curve Equation t 74529q1 [0,0,1,-173901,-30331233] 1 74529q2 [0,0,1,-67995291,215980795917] 1
74529r (2 curves)	1	3- 7- 13+	0 3-  0 7-  6 13+ -6  1
Curve Equation t Generators 74529r1 [0,0,1,-461370,-126003992] 1 [11784223336:426649041688:7189057] 74529r2 [0,0,1,-37832340,-89565946493] 1 [2451333520924629434685330295:-464088279643343302580379363902:66373577031636645387625]
74529s (2 curves)	1	3- 7- 13+	0 3-  0 7- -6 13+ -6 -1
Curve Equation t Generators 74529s1 [0,0,1,-2730,-57353] 1 [415:8383:1] 74529s2 [0,0,1,-223860,-40767386] 1 [36388:253957:64]
74529t (1 curve)	1	3- 7- 13+	0 3-  1 7- -2 13+  2  5
Curve Equation t Generators 74529t1 [0,0,1,7098,-5140431] 1 [273:4140:1]
74529u (1 curve)	1	3- 7- 13+	0 3- -1 7- -2 13+ -2 -5
Curve Equation t Generators 74529u1 [0,0,1,347802,1763167747] 1 [47138:3651917:8]
74529v (3 curves)	1	3- 7- 13+	0 3-  3 7-  0 13+ -6 -7
Curve Equation t Generators 74529v1 [0,0,1,-546546,155800804] 1 [442:760:1] 74529v2 [0,0,1,944034,772975453] 1 [-286:217499:8] 74529v3 [0,0,1,-8744736,-24531185156] 1 [1589666:708541115:8]
74529w (2 curves)	1	3- 7- 13+	1 3-  0 7- -3 13+  7 -7
Curve Equation t Generators 74529w1 [1,-1,0,-7988577,8694367982] 1 [4066:206344:1] 74529w2 [1,-1,0,46790238,-359452136107] 1 [280641322296748420412:-5607772096978854196837:55201455969585479]
74529x (4 curves)	1	3- 7- 13+	1 3-  0 7-  4 13+  0  0
Curve Equation t Generators 74529x1 [1,-1,0,-3327,91664] 2 [256:3868:1] 74529x2 [1,-1,0,-56562,5191577] 2 [136:-41:1] 74529x3 [1,-1,0,-163032,-31114693] 2 [41115619066466562362:-214182856980954394033:84279430500719453] 74529x4 [1,-1,0,-2771547,-1775167822] 2 [-36987852206:15808783096:38272753]
74529y (2 curves)	1	3- 7- 13+	1 3-  1 7- -2 13+ -7 -6
Curve Equation t Generators 74529y1 [1,-1,0,-4419,115506] 1 [-54:468:1] 74529y2 [1,-1,0,-33084,-12869739] 1 [32734140:1048008039:29791]
74529z (4 curves)	1	3- 7- 13+	1 3- -2 7-  4 13+  2  0
Curve Equation t Generators 74529z1 [1,-1,0,35712,-5542965] 2 [2563419446:-50134283163:8365427] 74529z2 [1,-1,0,-336933,-64793520] 4 [-117684:1161306:343] 74529z3 [1,-1,0,-1454868,612004329] 2 [-936:34425:1] 74529z4 [1,-1,0,-5181318,-4538098629] 2 [-941581640832:385000146777:719323136]
74529ba (1 curve)	1	3- 7- 13+	1 3- -3 7- -3 13+ -2 -1
Curve Equation t Generators 74529ba1 [1,-1,0,-51,-64] 1 [-4:10:1]
74529bb (2 curves)	1	3- 7- 13+	-1 3- -1 7-  2 13+ -7  6
Curve Equation t Generators 74529bb1 [1,-1,1,-746843,251526188] 1 [618:4762:1] 74529bb2 [1,-1,1,-5591228,-28291590232] 1 [144299879706810:-14942973065708189:12730945375]
74529bc (6 curves)	1	3- 7- 13+	-1 3-  2 7-  4 13+ -6  4
Curve Equation t Generators 74529bc1 [1,-1,1,72976,-1690230] 2 [440600:9522393:15625] 74529bc2 [1,-1,1,-299669,-13465812] 4 [-514:2394:1] 74529bc3 [1,-1,1,-2908184,1898053980] 2 [-1930:18825:1] 74529bc4 [1,-1,1,-3653474,-2683094592] 4 [-7773679:-2393190:6859] 74529bc5 [1,-1,1,-2535539,-4356866874] 2 [269012:15442023:64] 74529bc6 [1,-1,1,-58432289,-171905809890] 2 [-7714001536360102:3827139986192283:1747948273336]
74529bd (1 curve)	1	3- 7- 13+	-1 3-  3 7-  3 13+ -2  1
Curve Equation t Generators 74529bd1 [1,-1,1,-8651,-166526] 1 [-2148:4187:27]
74529be (1 curve)	1	3- 7- 13+	-1 3- -4 7- -5 13+  3 -5
Curve Equation t Generators 74529be1 [1,-1,1,30388,-8184900] 1 [452:-10113:1]
74529bf (1 curve)	1	3- 7- 13+	2 3- -1 7- -2 13+  0  1
Curve Equation t Generators 74529bf1 [0,0,1,189278817,-3220417506875] 1 [2783235025547725968547510:130582803173359175605190101:249729693693859655704]
74529bg (2 curves)	1	3- 7- 13+	2 3-  2 7- -2 13+  0  1
Curve Equation t Generators 74529bg1 [0,0,1,-3549,88429] 1 [2:2363:8] 74529bg2 [0,0,1,-1387659,-629681621] 1 [833722635339757775917917667127398874:111675793714596034384301407827765572153:46263652220650508484406643776616]
74529bh (1 curve)	1	3- 7- 13+	-2 3-  1 7- -2 13+ -4  3
Curve Equation t Generators 74529bh1 [0,0,1,-1962597,1210800204] 1 [-91:37264:1]
74529bi (1 curve)	1	3- 7- 13+	-2 3-  3 7- -6 13+  4  5
Curve Equation t Generators 74529bi1 [0,0,1,74529,5086604] 1 [1092:37264:1]
74529bj (2 curves)	0	3- 7- 13-	1 3-  2 7- -4 13-  6  0
Curve Equation t 74529bj1 [1,-1,0,-6075666,-3703671945] 2 74529bj2 [1,-1,0,-39986361,94589868582] 2
74529bk (2 curves)	0	3- 7- 13-	1 3- -2 7- -4 13- -6  0
Curve Equation t 74529bk1 [1,-1,0,-123993,10833304] 2 74529bk2 [1,-1,0,-816048,-275539055] 2
74529bl (2 curves)	0	3- 7- 13-	-1 3-  2 7-  4 13- -6  0
Curve Equation t 74529bl1 [1,-1,1,-734,5100] 2 74529bl2 [1,-1,1,-4829,-124302] 2
74529bm (2 curves)	0	3- 7- 13-	-1 3- -2 7-  4 13-  6  0
Curve Equation t 74529bm1 [1,-1,1,-35951,-1677490] 2 74529bm2 [1,-1,1,-236606,43108706] 2
74529bn (1 curve)	0	3- 7- 13-	2 3-  1 7- -2 13- -6  3
Curve Equation t 74529bn1 [0,0,1,-46137,4548339] 1
74529bo (1 curve)	0	3- 7- 13-	2 3- -1 7- -2 13-  6 -3
Curve Equation t 74529bo1 [0,0,1,-2260713,-1560080363] 1
74529bp (2 curves)	0	3- 7- 13-	2 3- -3 7-  0 13-  2  1
Curve Equation t 74529bp1 [0,0,1,21021,13375885] 1 74529bp2 [0,0,1,-28357329,58122742837] 1
74529bq (1 curve)	0	3- 7- 13-	-2 3-  1 7-  2 13-  6  3
Curve Equation t 74529bq1 [0,0,1,-13377,-710096] 1
74529br (1 curve)	2	3- 7- 13-	-2 3- -1 7-  2 13- -6 -3
Curve Equation t Generators 74529br1 [0,0,1,-273,2070] 1 [-13:58:1]&[14:31:1]
74529bs (2 curves)	0	3- 7- 13-	-2 3-  3 7-  0 13-  2 -1
Curve Equation t 74529bs1 [0,0,1,3552549,29386819894] 1 74529bs2 [0,0,1,-4792388601,127695666013438] 1

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