Cremona's table of elliptic curves

100650 = 2 · 3 · 5² · 11 · 61

Class	r	Atkin-Lehner	Eigenvalues
100650a (4 curves)	1	2+ 3+ 5+ 11+ 61+	2+ 3+ 5+  0 11+  2 -2  4
Curve Equation t Generators 100650a1 [1,1,0,-5775,-166875] 2 [-41:76:1] 100650a2 [1,1,0,-13775,385125] 4 [-69:1041:1] 100650a3 [1,1,0,41225,2750125] 2 [445:10240:1] 100650a4 [1,1,0,-196775,33508125] 2 [531:8628:1]
100650b (1 curve)	0	2+ 3+ 5+ 11+ 61-	2+ 3+ 5+ -2 11+ -1  0 -5
Curve Equation t 100650b1 [1,1,0,-201235950,1098685336500] 1
100650c (1 curve)	0	2+ 3+ 5+ 11+ 61-	2+ 3+ 5+ -2 11+  5  0  1
Curve Equation t 100650c1 [1,1,0,-15620,-770610] 1
100650d (1 curve)	0	2+ 3+ 5+ 11+ 61-	2+ 3+ 5+  3 11+  1  0  4
Curve Equation t 100650d1 [1,1,0,-243250,108056500] 1
100650e (4 curves)	0	2+ 3+ 5+ 11+ 61-	2+ 3+ 5+  4 11+ -2 -6 -4
Curve Equation t 100650e1 [1,1,0,-46075,4028125] 2 100650e2 [1,1,0,-750075,249724125] 2 100650e3 [1,1,0,265925,2660125] 2 100650e4 [1,1,0,-1065075,19963125] 2
100650f (2 curves)	0	2+ 3+ 5+ 11+ 61-	2+ 3+ 5+  4 11+  4  0 -1
Curve Equation t 100650f1 [1,1,0,275,-995] 1 100650f2 [1,1,0,-5725,-171635] 1
100650g (2 curves)	2	2+ 3+ 5+ 11- 61+	2+ 3+ 5+  0 11-  2 -6 -2
Curve Equation t Generators 100650g1 [1,1,0,-50,-7500] 2 [25:75:1]&[35:170:1] 100650g2 [1,1,0,-6050,-181500] 2 [-44:66:1]&[96:318:1]
100650h (2 curves)	1	2+ 3+ 5+ 11- 61-	2+ 3+ 5+  0 11-  4  2  2
Curve Equation t Generators 100650h1 [1,1,0,-287650,59504500] 2 [1790:19355:8] 100650h2 [1,1,0,-4607650,3804944500] 2 [1236:-442:1]
100650i (1 curve)	1	2+ 3+ 5+ 11- 61-	2+ 3+ 5+  1 11-  2 -3  7
Curve Equation t Generators 100650i1 [1,1,0,-2039700,-1122126000] 1 [155208:11286452:27]
100650j (1 curve)	0	2+ 3+ 5- 11+ 61+	2+ 3+ 5- -1 11+ -6  5 -1
Curve Equation t 100650j1 [1,1,0,-174950,-170713500] 1
100650k (1 curve)	1	2+ 3+ 5- 11+ 61-	2+ 3+ 5-  4 11+  3 -3 -1
Curve Equation t Generators 100650k1 [1,1,0,-190,-1250] 1 [19:40:1]
100650l (2 curves)	0	2+ 3+ 5- 11- 61-	2+ 3+ 5-  2 11- -4  2 -5
Curve Equation t 100650l1 [1,1,0,-3299875,-2308624175] 1 100650l2 [1,1,0,4549300,-10795086000] 1
100650m (1 curve)	0	2+ 3+ 5- 11- 61-	2+ 3+ 5- -2 11- -4  6 -3
Curve Equation t 100650m1 [1,1,0,-12325,-575375] 1
100650n (1 curve)	0	2+ 3+ 5- 11- 61-	2+ 3+ 5-  4 11- -3  6  5
Curve Equation t 100650n1 [1,1,0,-25075,-1977875] 1
100650o (1 curve)	0	2+ 3- 5+ 11+ 61+	2+ 3- 5+  1 11+  6 -3 -7
Curve Equation t 100650o1 [1,0,1,66599,4558448] 1
100650p (1 curve)	0	2+ 3- 5+ 11+ 61+	2+ 3- 5+ -2 11+  3  0 -4
Curve Equation t 100650p1 [1,0,1,2868649,447375098] 1
100650q (1 curve)	0	2+ 3- 5+ 11+ 61+	2+ 3- 5+ -2 11+  3 -8  4
Curve Equation t 100650q1 [1,0,1,127599,247246948] 1
100650r (2 curves)	0	2+ 3- 5+ 11+ 61+	2+ 3- 5+  4 11+  0 -6  8
Curve Equation t 100650r1 [1,0,1,-149651,-22470802] 2 100650r2 [1,0,1,-2399651,-1430970802] 2
100650s (1 curve)	0	2+ 3- 5+ 11+ 61+	2+ 3- 5+  5 11+  4 -8 -2
Curve Equation t 100650s1 [1,0,1,-108992826,437961539548] 1
100650t (4 curves)	1	2+ 3- 5+ 11+ 61-	2+ 3- 5+  0 11+  6  6 -4
Curve Equation t Generators 100650t1 [1,0,1,-187626126,1565125315648] 2 [8607661569:-1355740313383:1601613] 100650t2 [1,0,1,-3464426126,78465067715648] 4 [11787453:3759238709:729] 100650t3 [1,0,1,-3930986126,55971276995648] 2 [-4443:8566621:1] 100650t4 [1,0,1,-55426666126,5022568279235648] 4 [101837178:-1813838716:729]
100650u (1 curve)	1	2+ 3- 5+ 11+ 61-	2+ 3- 5+  1 11+ -1  0  0
Curve Equation t Generators 100650u1 [1,0,1,-1526,25448] 1 [62:381:1]
100650v (1 curve)	1	2+ 3- 5+ 11+ 61-	2+ 3- 5+ -2 11+ -1  0  3
Curve Equation t Generators 100650v1 [1,0,1,444,4288] 1 [8:-96:1]
100650w (1 curve)	1	2+ 3- 5+ 11- 61+	2+ 3- 5+  2 11- -1 -1  1
Curve Equation t Generators 100650w1 [1,0,1,30474,9489448] 1 [-118:2121:1]
100650x (1 curve)	1	2+ 3- 5+ 11- 61+	2+ 3- 5+ -3 11-  0  4  2
Curve Equation t Generators 100650x1 [1,0,1,-90171,10216198] 1 [-337:1704:1]
100650y (1 curve)	0	2+ 3- 5+ 11- 61-	2+ 3- 5+  0 11- -3 -3 -1
Curve Equation t 100650y1 [1,0,1,-642826,-224360452] 1
100650z (1 curve)	0	2+ 3- 5+ 11- 61-	2+ 3- 5+ -1 11-  4  4  6
Curve Equation t 100650z1 [1,0,1,-165326,22322048] 1
100650ba (2 curves)	2	2+ 3- 5+ 11- 61-	2+ 3- 5+ -4 11- -2 -6 -6
Curve Equation t Generators 100650ba1 [1,0,1,-551,17498] 2 [-234:863:8]&[12:-119:1] 100650ba2 [1,0,1,-14051,638498] 2 [-102:1057:1]&[-3:826:1]
100650bb (2 curves)	2	2+ 3- 5+ 11- 61-	2+ 3- 5+ -4 11- -6 -6  2
Curve Equation t Generators 100650bb1 [1,0,1,-24043276,-80063717302] 2 [6222:102826:1]&[7312:363881:1] 100650bb2 [1,0,1,-461443276,-3813710117302] 2 [-12527:38207:1]&[-12362:45434:1]
100650bc (1 curve)	1	2+ 3- 5- 11+ 61+	2+ 3- 5-  3 11+ -2  2  4
Curve Equation t Generators 100650bc1 [1,0,1,-1401,16348] 1 [-13:186:1]
100650bd (1 curve)	0	2+ 3- 5- 11- 61+	2+ 3- 5-  0 11- -3  1  5
Curve Equation t 100650bd1 [1,0,1,1547924,244684298] 1
100650be (1 curve)	0	2+ 3- 5- 11- 61+	2+ 3- 5- -2 11- -3 -4 -5
Curve Equation t 100650be1 [1,0,1,22674,-865202] 1
100650bf (1 curve)	0	2+ 3- 5- 11- 61+	2+ 3- 5-  3 11-  6 -2 -4
Curve Equation t 100650bf1 [1,0,1,-701,6548] 1
100650bg (1 curve)	1	2+ 3- 5- 11- 61-	2+ 3- 5-  1 11-  1 -4  2
Curve Equation t Generators 100650bg1 [1,0,1,-6571,207188] 1 [52:56:1]
100650bh (1 curve)	1	2+ 3- 5- 11- 61-	2+ 3- 5-  1 11- -2 -1 -1
Curve Equation t Generators 100650bh1 [1,0,1,674,-9952] 1 [579:2947:27]
100650bi (1 curve)	1	2+ 3- 5- 11- 61-	2+ 3- 5-  1 11- -2 -6  4
Curve Equation t Generators 100650bi1 [1,0,1,-412541201,-3222103487452] 1 [-11517:44962:1]
100650bj (2 curves)	0	2- 3+ 5+ 11+ 61+	2- 3+ 5+  0 11+ -4 -2 -2
Curve Equation t 100650bj1 [1,1,1,214123662,-10004776467969] 2 100650bj2 [1,1,1,-5860876338,-165354676467969] 2
100650bk (1 curve)	0	2- 3+ 5+ 11+ 61+	2- 3+ 5+ -3 11+  2 -2  4
Curve Equation t 100650bk1 [1,1,1,-35013,2043531] 1
100650bl (2 curves)	0	2- 3+ 5+ 11+ 61+	2- 3+ 5+ -4 11+ -6  6  0
Curve Equation t 100650bl1 [1,1,1,270412,275521781] 2 100650bl2 [1,1,1,-5053588,4108801781] 2
100650bm (2 curves)	1	2- 3+ 5+ 11+ 61-	2- 3+ 5+  1 11+ -2  3 -1
Curve Equation t Generators 100650bm1 [1,1,1,-125588,17280281] 1 [205:347:1] 100650bm2 [1,1,1,451537,87385781] 1 [565:22592:1]
100650bn (2 curves)	1	2- 3+ 5+ 11+ 61-	2- 3+ 5+  4 11+ -2 -3 -4
Curve Equation t Generators 100650bn1 [1,1,1,27337,149467781] 1 [131661:9164708:729] 100650bn2 [1,1,1,-246038,-4035903469] 1 [88527:4664801:27]
100650bo (1 curve)	1	2- 3+ 5+ 11- 61+	2- 3+ 5+  0 11-  3 -1  5
Curve Equation t Generators 100650bo1 [1,1,1,61917,1982241] 1 [354629:7970782:1331]
100650bp (4 curves)	1	2- 3+ 5+ 11- 61+	2- 3+ 5+  0 11-  6  2 -4
Curve Equation t Generators 100650bp1 [1,1,1,-68063,-9940219] 2 [395:4802:1] 100650bp2 [1,1,1,-1220063,-519124219] 4 [3105:158572:1] 100650bp3 [1,1,1,-1352063,-400060219] 2 [389005:19783484:125] 100650bp4 [1,1,1,-19520063,-33202924219] 2 [5105:12322:1]
100650bq (1 curve)	1	2- 3+ 5+ 11- 61+	2- 3+ 5+  2 11-  3  4 -5
Curve Equation t Generators 100650bq1 [1,1,1,907,-6559] 1 [78:419:8]
100650br (1 curve)	1	2- 3+ 5+ 11- 61+	2- 3+ 5+ -3 11- -3 -4 -4
Curve Equation t Generators 100650br1 [1,1,1,-1743145438,-518682999786469] 1 [1435345:1718032327:1]
100650bs (1 curve)	1	2- 3+ 5+ 11- 61+	2- 3+ 5+ -3 11- -6  2 -4
Curve Equation t Generators 100650bs1 [1,1,1,-28,41] 1 [1:3:1]
100650bt (2 curves)	0	2- 3+ 5+ 11- 61-	2- 3+ 5+  0 11- -2 -2  4
Curve Equation t 100650bt1 [1,1,1,-88,1781] 2 100650bt2 [1,1,1,-2838,56781] 2
100650bu (1 curve)	0	2- 3+ 5+ 11- 61-	2- 3+ 5+ -1 11-  2  6  4
Curve Equation t 100650bu1 [1,1,1,-16501648,-25783428559] 1
100650bv (4 curves)	0	2- 3+ 5+ 11- 61-	2- 3+ 5+  4 11-  4  6 -4
Curve Equation t 100650bv1 [1,1,1,-79213,26384531] 2 100650bv2 [1,1,1,-1901713,1006889531] 2 100650bv3 [1,1,1,700412,-645652219] 2 100650bv4 [1,1,1,-8299588,-8277652219] 2
100650bw (1 curve)	0	2- 3+ 5+ 11- 61-	2- 3+ 5+  4 11-  6 -3 -4
Curve Equation t 100650bw1 [1,1,1,-1538,-25969] 1
100650bx (1 curve)	1	2- 3+ 5- 11+ 61+	2- 3+ 5- -5 11+ -4  8 -2
Curve Equation t Generators 100650bx1 [1,1,1,-4359713,3501948431] 1 [1205:-598:1]
100650by (1 curve)	0	2- 3+ 5- 11+ 61-	2- 3+ 5-  2 11+  1  0  3
Curve Equation t 100650by1 [1,1,1,11112,536031] 1
100650bz (1 curve)	0	2- 3+ 5- 11- 61+	2- 3+ 5-  3 11-  0 -4  2
Curve Equation t 100650bz1 [1,1,1,-2254263,1277024781] 1
100650ca (1 curve)	1	2- 3+ 5- 11- 61-	2- 3+ 5-  0 11-  3  3 -1
Curve Equation t Generators 100650ca1 [1,1,1,-25713,-1805169] 1 [319:-4912:1]
100650cb (1 curve)	1	2- 3+ 5- 11- 61-	2- 3+ 5-  1 11- -4 -4  6
Curve Equation t Generators 100650cb1 [1,1,1,-6613,175931] 1 [-35:-588:1]
100650cc (1 curve)	1	2- 3+ 5- 11- 61-	2- 3+ 5- -1 11- -1  4  2
Curve Equation t Generators 100650cc1 [1,1,1,-164263,25898531] 1 [2630:20681:8]
100650cd (1 curve)	1	2- 3+ 5- 11- 61-	2- 3+ 5- -1 11-  2  1 -1
Curve Equation t Generators 100650cd1 [1,1,1,27,-69] 1 [5:12:1]
100650ce (1 curve)	1	2- 3- 5+ 11+ 61+	2- 3- 5+  1 11+  6 -5 -1
Curve Equation t Generators 100650ce1 [1,0,0,-6998,-1365708] 1 [138:480:1]
100650cf (1 curve)	1	2- 3- 5+ 11+ 61+	2- 3- 5+ -1 11+ -1 -4  0
Curve Equation t Generators 100650cf1 [1,0,0,30162,-660708] 1 [42:804:1]
100650cg (1 curve)	0	2- 3- 5+ 11+ 61-	2- 3- 5+  2 11+  1  0  0
Curve Equation t 100650cg1 [1,0,0,-2063,-37383] 1
100650ch (4 curves)	0	2- 3- 5+ 11- 61+	2- 3- 5+  0 11- -6  2  0
Curve Equation t 100650ch1 [1,0,0,2312,18992] 2 100650ch2 [1,0,0,-10188,156492] 4 100650ch3 [1,0,0,-86438,-9679758] 2 100650ch4 [1,0,0,-133938,18842742] 2
100650ci (1 curve)	1	2- 3- 5+ 11- 61-	2- 3- 5+ -1 11- -2  3 -3
Curve Equation t Generators 100650ci1 [1,0,0,-2838,5792292] 1 [372:-7686:1]
100650cj (1 curve)	1	2- 3- 5+ 11- 61-	2- 3- 5+  2 11-  3 -3  5
Curve Equation t Generators 100650cj1 [1,0,0,1186537,670845417] 1 [22:26389:1]
100650ck (1 curve)	1	2- 3- 5+ 11- 61-	2- 3- 5+  2 11-  4 -6 -3
Curve Equation t Generators 100650ck1 [1,0,0,-493,-4603] 1 [26:5:1]
100650cl (2 curves)	1	2- 3- 5+ 11- 61-	2- 3- 5+ -2 11-  4 -2 -5
Curve Equation t Generators 100650cl1 [1,0,0,181972,-86360688] 5 [718:20002:1] 100650cl2 [1,0,0,-82496888,-288413028108] 1 [2936849240:-64324671514:274625]
100650cm (1 curve)	1	2- 3- 5+ 11- 61-	2- 3- 5+ -4 11-  3 -6  5
Curve Equation t Generators 100650cm1 [1,0,0,-1003,-15823] 1 [86:-775:1]
100650cn (1 curve)	1	2- 3- 5- 11+ 61-	2- 3- 5-  2 11+  1  0 -5
Curve Equation t Generators 100650cn1 [1,0,0,-8049438,8789482692] 1 [1596:-3726:1]
100650co (1 curve)	1	2- 3- 5- 11+ 61-	2- 3- 5-  2 11+ -5  0  1
Curve Equation t Generators 100650co1 [1,0,0,-390513,-95545233] 1 [1192215160698:114882194166087:126506008]
100650cp (1 curve)	1	2- 3- 5- 11+ 61-	2- 3- 5- -4 11+ -3  3 -1
Curve Equation t Generators 100650cp1 [1,0,0,-4763,-146733] 1 [1766:23867:8]
100650cq (2 curves)	1	2- 3- 5- 11+ 61-	2- 3- 5- -4 11+ -4  0 -1
Curve Equation t Generators 100650cq1 [1,0,0,6862,-138108] 3 [28:262:1] 100650cq2 [1,0,0,-143138,-21168108] 1 [1278:42762:1]
100650cr (1 curve)	0	2- 3- 5- 11- 61-	2- 3- 5- -1 11- -2  3  7
Curve Equation t 100650cr1 [1,0,0,-81588,-8977008] 1

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