Cremona's table of elliptic curves

66654 = 2 · 3² · 7 · 23²

Class	r	Atkin-Lehner	Eigenvalues
66654a (1 curve)	0	2+ 3+ 7+ 23-	2+ 3+ -1 7+ -2 -5  2  2
Curve Equation t 66654a1 [1,-1,0,177645,-77377483] 1
66654b (2 curves)	0	2+ 3+ 7+ 23-	2+ 3+  3 7+ -6  5  6 -2
Curve Equation t 66654b1 [1,-1,0,-5906913,-5524245027] 1 66654b2 [1,-1,0,-5407008,-6498085888] 1
66654c (2 curves)	2	2+ 3+ 7+ 23-	2+ 3+ -3 7+  6 -4 -3  4
Curve Equation t Generators 66654c1 [1,-1,0,-651,-6219] 1 [-15:9:1]&[-14:9:1] 66654c2 [1,-1,0,-3066,60596] 1 [-442:2165:8]&[-28:366:1]
66654d (1 curve)	1	2+ 3+ 7- 23-	2+ 3+  1 7- -2 -1 -6  6
Curve Equation t Generators 66654d1 [1,-1,0,-8034,-280494] 1 [14205:57171:125]
66654e (2 curves)	1	2+ 3+ 7- 23-	2+ 3+  3 7- -6 -4  3 -4
Curve Equation t Generators 66654e1 [1,-1,0,-344478,77733252] 3 [432:2850:1] 66654e2 [1,-1,0,-1622013,-727539643] 1 [2365730:323511791:125]
66654f (1 curve)	1	2+ 3- 7+ 23-	2+ 3-  1 7+  0 -1  4 -4
Curve Equation t Generators 66654f1 [1,-1,0,-2928114,-1934371148] 1 [1262348758:55471107019:405224]
66654g (1 curve)	1	2+ 3- 7+ 23-	2+ 3-  1 7+ -4  4  3  2
Curve Equation t Generators 66654g1 [1,-1,0,-99,-239] 1 [-4:11:1]
66654h (1 curve)	1	2+ 3- 7+ 23-	2+ 3-  1 7+  6 -1 -2  2
Curve Equation t Generators 66654h1 [1,-1,0,-20962989,36962909221] 1 [7850:592811:1]
66654i (1 curve)	1	2+ 3- 7+ 23-	2+ 3- -1 7+  2 -4  3  6
Curve Equation t Generators 66654i1 [1,-1,0,-5527620,3110966352] 1 [6216:453948:1]
66654j (6 curves)	1	2+ 3- 7+ 23-	2+ 3- -2 7+ -4 -2 -6 -4
Curve Equation t Generators 66654j1 [1,-1,0,599787,366034549] 2 [314:-24349:1] 66654j2 [1,-1,0,-5494293,4243088245] 4 [-2133:80152:1] 66654j3 [1,-1,0,-24157413,-41574871355] 4 [27293:4416851:1] 66654j4 [1,-1,0,-84336453,298119355429] 2 [5273:-256:1] 66654j5 [1,-1,0,29832327,-201092957159] 2 [35838187:5952725749:1331] 66654j6 [1,-1,0,-376757073,-2814630157391] 2 [18759378365:2303083401827:614125]
66654k (2 curves)	1	2+ 3- 7+ 23-	2+ 3- -2 7+  6 -4 -2 -4
Curve Equation t Generators 66654k1 [1,-1,0,-19143,942025] 2 [1198:8923:8] 66654k2 [1,-1,0,-66753,-5561501] 2 [2670:22999:8]
66654l (1 curve)	1	2+ 3- 7+ 23-	2+ 3-  3 7+  2  3  2 -2
Curve Equation t Generators 66654l1 [1,-1,0,4662,194548] 1 [116:1454:1]
66654m (2 curves)	1	2+ 3- 7+ 23-	2+ 3- -3 7+  0  5  0 -8
Curve Equation t Generators 66654m1 [1,-1,0,14184,2871288] 1 [351:6966:1] 66654m2 [1,-1,0,-128646,-81027054] 1 [66645:130932:125]
66654n (1 curve)	1	2+ 3- 7+ 23-	2+ 3- -3 7+  2  0  5 -2
Curve Equation t Generators 66654n1 [1,-1,0,-12864321,-17078916947] 1 [-1264482:3353167:729]
66654o (1 curve)	1	2+ 3- 7+ 23-	2+ 3- -3 7+  2 -1  2  0
Curve Equation t Generators 66654o1 [1,-1,0,-306,-4172] 1 [29:89:1]
66654p (1 curve)	1	2+ 3- 7+ 23-	2+ 3- -3 7+ -4  3 -2  0
Curve Equation t Generators 66654p1 [1,-1,0,-4651596,12172558608] 1 [1984:102692:1]
66654q (1 curve)	1	2+ 3- 7+ 23-	2+ 3-  4 7+  0  2 -5 -7
Curve Equation t Generators 66654q1 [1,-1,0,315,-1067] 1 [102:509:8]
66654r (1 curve)	2	2+ 3- 7- 23-	2+ 3-  1 7- -2 -4 -3 -6
Curve Equation t Generators 66654r1 [1,-1,0,-10449,-252963] 1 [162:-1593:1]&[-594:2943:8]
66654s (1 curve)	0	2+ 3- 7- 23-	2+ 3- -1 7-  4  4 -3 -2
Curve Equation t 66654s1 [1,-1,0,-52470,3222544] 1
66654t (1 curve)	0	2+ 3- 7- 23-	2+ 3- -1 7- -6 -1  2 -2
Curve Equation t 66654t1 [1,-1,0,-11089421280,-449661179964416] 1
66654u (2 curves)	2	2+ 3- 7- 23-	2+ 3- -2 7- -2 -4 -6  0
Curve Equation t Generators 66654u1 [1,-1,0,-66753,1714365] 2 [-63:2412:1]&[-36088:1279011:512] 66654u2 [1,-1,0,-828513,290116701] 2 [-735:22764:1]&[-155:20444:1]
66654v (4 curves)	0	2+ 3- 7- 23-	2+ 3- -2 7-  4  2  6  0
Curve Equation t 66654v1 [1,-1,0,-2851938,-3023239356] 2 66654v2 [1,-1,0,-53223318,-149392395360] 4 66654v3 [1,-1,0,-60888528,-103543708266] 2 66654v4 [1,-1,0,-851500188,-9563471523270] 2
66654w (6 curves)	0	2+ 3- 7- 23-	2+ 3- -2 7- -4  6  2  4
Curve Equation t 66654w1 [1,-1,0,-19143,2256061] 2 66654w2 [1,-1,0,-400023,97399885] 4 66654w3 [1,-1,0,-495243,47599825] 4 66654w4 [1,-1,0,-6398883,6231834121] 2 66654w5 [1,-1,0,1837647,366272599] 2 66654w6 [1,-1,0,-4351653,-3459419429] 2
66654x (1 curve)	0	2+ 3- 7- 23-	2+ 3-  3 7- -2  0 -5  2
Curve Equation t 66654x1 [1,-1,0,-24318,1410052] 1
66654y (1 curve)	0	2+ 3- 7- 23-	2+ 3-  3 7- -2 -1 -2  0
Curve Equation t 66654y1 [1,-1,0,-161973,51732373] 1
66654z (1 curve)	0	2+ 3- 7- 23-	2+ 3-  3 7-  4  3  2  0
Curve Equation t 66654z1 [1,-1,0,-8793,-998163] 1
66654ba (1 curve)	0	2+ 3- 7- 23-	2+ 3-  3 7-  4 -3 -4  0
Curve Equation t 66654ba1 [1,-1,0,43305957,73599499557] 1
66654bb (1 curve)	0	2+ 3- 7- 23-	2+ 3- -3 7- -2  3 -2  2
Curve Equation t 66654bb1 [1,-1,0,2466099,-2381862299] 1
66654bc (1 curve)	0	2+ 3- 7- 23-	2+ 3- -4 7-  0  2  5  7
Curve Equation t 66654bc1 [1,-1,0,166536,11982784] 1
66654bd (1 curve)	1	2- 3+ 7+ 23-	2- 3+  1 7+  2 -5 -2  2
Curve Equation t Generators 66654bd1 [1,-1,1,19738,2859253] 1 [-17:1595:1]
66654be (2 curves)	1	2- 3+ 7+ 23-	2- 3+  3 7+ -6 -4  3  4
Curve Equation t Generators 66654be1 [1,-1,1,-341,-2131] 1 [-9:16:1] 66654be2 [1,-1,1,-5861,173773] 1 [37:62:1]
66654bf (2 curves)	1	2- 3+ 7+ 23-	2- 3+ -3 7+  6  5 -6 -2
Curve Equation t Generators 66654bf1 [1,-1,1,-600779,240870107] 1 [2835:144586:1] 66654bf2 [1,-1,1,-53162219,149207777947] 1 [4951:83222:1]
66654bg (1 curve)	0	2- 3+ 7- 23-	2- 3+ -1 7-  2 -1  6  6
Curve Equation t 66654bg1 [1,-1,1,-72308,7645645] 1
66654bh (2 curves)	0	2- 3+ 7- 23-	2- 3+ -3 7-  6 -4 -3 -4
Curve Equation t 66654bh1 [1,-1,1,-180224,27005987] 3 66654bh2 [1,-1,1,-3100304,-2095697501] 1
66654bi (6 curves)	0	2- 3- 7+ 23-	2- 3-  0 7+  0 -4  6 -2
Curve Equation t 66654bi1 [1,-1,1,-2480,96815] 2 66654bi2 [1,-1,1,-50090,4324583] 2 66654bi3 [1,-1,1,21325,-2017069] 2 66654bi4 [1,-1,1,-169115,-21899005] 2 66654bi5 [1,-1,1,-811850,-282163831] 2 66654bi6 [1,-1,1,-13000010,-18037875319] 2
66654bj (2 curves)	0	2- 3- 7+ 23-	2- 3-  0 7+  4  0  6  6
Curve Equation t 66654bj1 [1,-1,1,164155,120377661] 2 66654bj2 [1,-1,1,-2882885,1764560445] 2
66654bk (2 curves)	0	2- 3- 7+ 23-	2- 3-  0 7+ -4 -2  4 -4
Curve Equation t 66654bk1 [1,-1,1,-34220,-48867425] 2 66654bk2 [1,-1,1,-2224280,-1264788737] 2
66654bl (4 curves)	0	2- 3- 7+ 23-	2- 3-  0 7+  6  2 -6 -2
Curve Equation t 66654bl1 [1,-1,1,22112365,281857562291] 2 66654bl2 [1,-1,1,-533210675,4515418290035] 2 66654bl3 [1,-1,1,-199631210,-7743964870231] 2 66654bl4 [1,-1,1,-7220011370,-234985246193239] 2
66654bm (1 curve)	0	2- 3- 7+ 23-	2- 3- -1 7+  2 -1 -6  4
Curve Equation t 66654bm1 [1,-1,1,-17846708,75556870575] 1
66654bn (2 curves)	0	2- 3- 7+ 23-	2- 3-  2 7+  2 -4  6  4
Curve Equation t 66654bn1 [1,-1,1,-824,123] 2 66654bn2 [1,-1,1,-9104,-331077] 2
66654bo (2 curves)	0	2- 3- 7+ 23-	2- 3-  2 7+ -4 -4 -4  2
Curve Equation t 66654bo1 [1,-1,1,-70198664,276974117835] 2 66654bo2 [1,-1,1,-1191509384,15830002328523] 2
66654bp (2 curves)	0	2- 3- 7+ 23-	2- 3- -2 7+ -4  4 -8  2
Curve Equation t 66654bp1 [1,-1,1,-38981,13796857] 2 66654bp2 [1,-1,1,-1134011,463635181] 2
66654bq (2 curves)	0	2- 3- 7+ 23-	2- 3-  3 7+  0 -4 -3 -2
Curve Equation t 66654bq1 [1,-1,1,-23978876,45191737343] 1 66654bq2 [1,-1,1,-61757411,-126625039837] 1
66654br (1 curve)	0	2- 3- 7+ 23-	2- 3-  3 7+  2  0  7 -6
Curve Equation t 66654br1 [1,-1,1,-2355297746,-43964524970287] 1
66654bs (1 curve)	0	2- 3- 7+ 23-	2- 3-  3 7+  4  3  0  0
Curve Equation t 66654bs1 [1,-1,1,-24431171,-46702924221] 1
66654bt (1 curve)	0	2- 3- 7+ 23-	2- 3- -3 7+  4  0  3  6
Curve Equation t 66654bt1 [1,-1,1,-98114,11853357] 1
66654bu (2 curves)	0	2- 3- 7+ 23-	2- 3- -4 7+  2  2  2  2
Curve Equation t 66654bu1 [1,-1,1,83218,-2437095] 2 66654bu2 [1,-1,1,-345272,-19576695] 2
66654bv (2 curves)	1	2- 3- 7- 23-	2- 3-  0 7- -2 -6  2  6
Curve Equation t Generators 66654bv1 [1,-1,1,-2480,38203859] 2 [-293:3849:1] 66654bv2 [1,-1,1,-1716440,852677651] 2 [627:4447:1]
66654bw (2 curves)	1	2- 3- 7- 23-	2- 3-  0 7-  4 -2 -4  4
Curve Equation t Generators 66654bw1 [1,-1,1,-65,4033] 2 [1:-64:1] 66654bw2 [1,-1,1,-4205,105049] 2 [-17:422:1]
66654bx (1 curve)	1	2- 3- 7- 23-	2- 3-  1 7- -2 -1  6 -4
Curve Equation t Generators 66654bx1 [1,-1,1,-33737,-6201183] 1 [581:-13332:1]
66654by (2 curves)	1	2- 3- 7- 23-	2- 3- -2 7-  0  4  0 -6
Curve Equation t Generators 66654by1 [1,-1,1,1587694,1779129105] 2 [-385:33519:1] 66654by2 [1,-1,1,-15932786,21388050321] 2 [1317:51183:1]
66654bz (2 curves)	1	2- 3- 7- 23-	2- 3- -2 7- -2 -4 -6 -4
Curve Equation t Generators 66654bz1 [1,-1,1,-435731,1114611] 2 [-465:10382:1] 66654bz2 [1,-1,1,-4815851,4057105731] 2 [-1719:86028:1]
66654ca (1 curve)	1	2- 3- 7- 23-	2- 3-  3 7- -4  0 -3 -6
Curve Equation t Generators 66654ca1 [1,-1,1,-51902141,-143908385007] 1 [-1508268467747419298814319854778885637:931830863026036536383525352470165550:362550965578677997547469491090609]
66654cb (2 curves)	1	2- 3- 7- 23-	2- 3- -3 7-  0 -4  3  2
Curve Equation t Generators 66654cb1 [1,-1,1,-45329,-3702463] 1 [-123:88:1] 66654cb2 [1,-1,1,-116744,10437707] 3 [-339:3481:1]
66654cc (1 curve)	1	2- 3- 7- 23-	2- 3- -3 7- -2  0 -7  6
Curve Equation t Generators 66654cc1 [1,-1,1,-4452359,3614585087] 1 [915:17038:1]

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