Cremona's table of elliptic curves

41650 = 2 · 5² · 7² · 17

Class	r	Atkin-Lehner	Eigenvalues
41650a (1 curve)	1	2+ 5+ 7+ 17+	2+  0 5+ 7+ -1  1 17+  1
Curve Equation t Generators 41650a1 [1,-1,0,10183,-23409] 1 [149:2113:1]
41650b (1 curve)	1	2+ 5+ 7+ 17+	2+  0 5+ 7+ -6 -4 17+  1
Curve Equation t Generators 41650b1 [1,-1,0,10183,-5376659] 1 [41736975:748713029:117649]
41650c (1 curve)	0	2+ 5+ 7+ 17-	2+  1 5+ 7+  1 -1 17-  6
Curve Equation t 41650c1 [1,0,1,-117281526,-488938194552] 1
41650d (1 curve)	2	2+ 5+ 7+ 17-	2+  1 5+ 7+ -2 -4 17- -6
Curve Equation t Generators 41650d1 [1,0,1,4874,-181352] 1 [137:1681:1]&[53:449:1]
41650e (2 curves)	0	2+ 5+ 7+ 17-	2+ -1 5+ 7+  3 -5 17-  2
Curve Equation t 41650e1 [1,1,0,67350,17852500] 1 41650e2 [1,1,0,-618650,-539865500] 1
41650f (1 curve)	2	2+ 5+ 7+ 17-	2+ -2 5+ 7+ -5 -1 17-  3
Curve Equation t Generators 41650f1 [1,0,1,-833026,394008948] 1 [1082:-28104:1]&[-632:26164:1]
41650g (2 curves)	0	2+ 5+ 7- 17+	2+  1 5+ 7-  0 -1 17+  1
Curve Equation t 41650g1 [1,0,1,488749,40868398] 1 41650g2 [1,0,1,-8135251,9218372398] 1
41650h (2 curves)	0	2+ 5+ 7- 17+	2+  1 5+ 7-  3  5 17+ -2
Curve Equation t 41650h1 [1,0,1,1374,-51852] 1 41650h2 [1,0,1,-12626,1572148] 1
41650i (1 curve)	0	2+ 5+ 7- 17+	2+ -1 5+ 7-  1  1 17+ -6
Curve Equation t 41650i1 [1,1,0,-2393500,1424450000] 1
41650j (1 curve)	0	2+ 5+ 7- 17+	2+ -1 5+ 7- -2  4 17+  6
Curve Equation t 41650j1 [1,1,0,238850,62442500] 1
41650k (1 curve)	0	2+ 5+ 7- 17+	2+ -1 5+ 7- -2 -5 17+  3
Curve Equation t 41650k1 [1,1,0,-1096400,-443360000] 1
41650l (2 curves)	0	2+ 5+ 7- 17+	2+  2 5+ 7- -2 -2 17+  0
Curve Equation t 41650l1 [1,1,0,-22075,1247625] 2 41650l2 [1,1,0,-34325,-308125] 2
41650m (1 curve)	0	2+ 5+ 7- 17+	2+  2 5+ 7- -5  1 17+ -3
Curve Equation t 41650m1 [1,1,0,-17000,-1156000] 1
41650n (4 curves)	0	2+ 5+ 7- 17+	2+ -2 5+ 7-  6  2 17+  4
Curve Equation t 41650n1 [1,0,1,-3701,-53952] 2 41650n2 [1,0,1,-52701,-4659952] 2 41650n3 [1,0,1,-126201,17243048] 2 41650n4 [1,0,1,-138451,13690548] 2
41650o (2 curves)	0	2+ 5+ 7- 17+	2+ -2 5+ 7- -6 -2 17+  0
Curve Equation t 41650o1 [1,0,1,-73526,-906552] 2 41650o2 [1,0,1,-857526,-305098552] 2
41650p (4 curves)	1	2+ 5+ 7- 17-	2+  0 5+ 7-  0 -2 17- -4
Curve Equation t Generators 41650p1 [1,-1,0,-22892,-1305984] 2 [804:21948:1] 41650p2 [1,-1,0,-47392,2001516] 4 [-201:1938:1] 41650p3 [1,-1,0,160858,14704766] 2 [-31:3128:1] 41650p4 [1,-1,0,-647642,200684266] 2 [205:8644:1]
41650q (1 curve)	1	2+ 5+ 7- 17-	2+  0 5+ 7- -1 -1 17- -1
Curve Equation t Generators 41650q1 [1,-1,0,498958,7031366] 1 [1753:78284:1]
41650r (4 curves)	1	2+ 5+ 7- 17-	2+  0 5+ 7- -4  2 17-  8
Curve Equation t Generators 41650r1 [1,-1,0,-5399417,-9003658259] 2 [22388076029835:-940720487039479:5919918129] 41650r2 [1,-1,0,-105751417,-418339466259] 4 [-118303551:-153292796:19683] 41650r3 [1,-1,0,-125351417,-252425466259] 2 [-9595:-253849:1] 41650r4 [1,-1,0,-1691783417,-26782949402259] 2 [-16950477512452941:8411483356649164:713797912953]
41650s (1 curve)	1	2+ 5+ 7- 17-	2+  0 5+ 7- -6  4 17- -1
Curve Equation t Generators 41650s1 [1,-1,0,208,15616] 1 [45:316:1]
41650t (1 curve)	1	2+ 5+ 7- 17-	2+ -3 5+ 7-  2 -1 17- -1
Curve Equation t Generators 41650t1 [1,-1,0,15083,238741] 1 [9:608:1]
41650u (2 curves)	0	2+ 5- 7+ 17+	2+  1 5- 7+  3  2 17+ -4
Curve Equation t 41650u1 [1,0,1,-34326,2445048] 3 41650u2 [1,0,1,-3701,6610048] 1
41650v (1 curve)	0	2+ 5- 7+ 17+	2+  2 5- 7+ -5  3 17+ -7
Curve Equation t 41650v1 [1,1,0,-34325,2742125] 1
41650w (1 curve)	0	2+ 5- 7+ 17+	2+  3 5- 7+  0  2 17+ -2
Curve Equation t 41650w1 [1,-1,0,-78997,-8655739] 1
41650x (1 curve)	1	2+ 5- 7- 17+	2+ -1 5- 7-  4 -3 17+  2
Curve Equation t Generators 41650x1 [1,1,0,1662300,134644000] 1 [1260:64420:1]
41650y (1 curve)	1	2+ 5- 7- 17+	2+ -1 5- 7- -6 -3 17+  7
Curve Equation t Generators 41650y1 [1,1,0,-22075,-1667875] 1 [1630:11435:8]
41650z (2 curves)	1	2+ 5- 7- 17+	2+  2 5- 7-  3 -2 17+ -5
Curve Equation t Generators 41650z1 [1,1,0,-450825,-116710075] 1 [88979970843:-2413702774585:75686967] 41650z2 [1,1,0,69800,-364881600] 1 [64065:3066115:27]
41650ba (1 curve)	1	2+ 5- 7- 17+	2+  3 5- 7- -4 -3 17+ -6
Curve Equation t Generators 41650ba1 [1,-1,0,383,-6259] 1 [1506:10901:27]
41650bb (1 curve)	0	2+ 5- 7- 17-	2+  1 5- 7- -2 -3 17-  7
Curve Equation t 41650bb1 [1,0,1,-2901806,15715923808] 1
41650bc (1 curve)	0	2+ 5- 7- 17-	2+  1 5- 7- -2  5 17- -1
Curve Equation t 41650bc1 [1,0,1,-2231,-66692] 1
41650bd (2 curves)	0	2+ 5- 7- 17-	2+ -1 5- 7-  3 -2 17-  4
Curve Equation t 41650bd1 [1,1,0,-1681950,-840333500] 1 41650bd2 [1,1,0,-181325,-2267427875] 1
41650be (1 curve)	0	2+ 5- 7- 17-	2+  2 5- 7-  5  6 17- -5
Curve Equation t 41650be1 [1,1,0,-15950,996500] 1
41650bf (1 curve)	0	2+ 5- 7- 17-	2+ -2 5- 7- -5 -3 17-  7
Curve Equation t 41650bf1 [1,0,1,-1681951,-945594702] 1
41650bg (1 curve)	2	2+ 5- 7- 17-	2+ -3 5- 7-  0 -2 17-  2
Curve Equation t Generators 41650bg1 [1,-1,0,-1612,25696] 1 [262:549:8]&[-36:208:1]
41650bh (1 curve)	1	2- 5+ 7+ 17-	2-  1 5+ 7+ -1 -5 17-  6
Curve Equation t Generators 41650bh1 [1,0,0,-5538,-198808] 1 [976828:8981136:6859]
41650bi (1 curve)	1	2- 5+ 7+ 17-	2- -1 5+ 7+  2  0 17-  2
Curve Equation t Generators 41650bi1 [1,1,1,-279938,151526031] 1 [1245:-42273:1]
41650bj (2 curves)	1	2- 5+ 7+ 17-	2- -1 5+ 7+  3 -2 17- -4
Curve Equation t Generators 41650bj1 [1,1,1,-1373,19011] 1 [21:-10:1] 41650bj2 [1,1,1,-148,52821] 1 [29:257:1]
41650bk (2 curves)	1	2- 5+ 7+ 17-	2- -1 5+ 7+ -3 -5 17-  2
Curve Equation t Generators 41650bk1 [1,1,1,-322813,-80292969] 1 [4765341755:-81963624398:5929741] 41650bk2 [1,1,1,-27119688,-54370761719] 1 [7255:358047:1]
41650bl (2 curves)	1	2- 5+ 7+ 17-	2-  2 5+ 7+  0 -2 17- -7
Curve Equation t Generators 41650bl1 [1,1,1,-5538,177281] 1 [2515308132:38253157901:9528128] 41650bl2 [1,1,1,37337,-680219] 1 [2341:112508:1]
41650bm (1 curve)	1	2- 5+ 7+ 17-	2- -3 5+ 7+ -5  3 17- -2
Curve Equation t Generators 41650bm1 [1,-1,1,-38205,10369797] 1 [79:2760:1]
41650bn (2 curves)	1	2- 5+ 7- 17+	2-  0 5+ 7- -2  0 17+  2
Curve Equation t Generators 41650bn1 [1,-1,1,2220,-20653] 2 [702:6995:8] 41650bn2 [1,-1,1,-10030,-167653] 2 [-5388:20155:64]
41650bo (2 curves)	1	2- 5+ 7- 17+	2-  0 5+ 7-  6  2 17+ -8
Curve Equation t Generators 41650bo1 [1,-1,1,-4605,-124603] 2 [149:1500:1] 41650bo2 [1,-1,1,-74605,-7824603] 2 [349:2750:1]
41650bp (2 curves)	1	2- 5+ 7- 17+	2-  1 5+ 7-  0  5 17+  1
Curve Equation t Generators 41650bp1 [1,0,0,-3088,-277208] 1 [1362:49544:1] 41650bp2 [1,0,0,27537,7103417] 1 [-38:2469:1]
41650bq (1 curve)	1	2- 5+ 7- 17+	2-  1 5+ 7-  2  0 17+ -2
Curve Equation t Generators 41650bq1 [1,0,0,-5713,-442583] 1 [162:-1781:1]
41650br (2 curves)	1	2- 5+ 7- 17+	2-  1 5+ 7-  3  2 17+  4
Curve Equation t Generators 41650br1 [1,0,0,-67278,-6722668] 1 [172644414914:-3019863432084:371694959] 41650br2 [1,0,0,-7253,-18139423] 1 [908:26455:1]
41650bs (2 curves)	1	2- 5+ 7- 17+	2-  1 5+ 7- -3  5 17+ -2
Curve Equation t Generators 41650bs1 [1,0,0,-15817838,27493034792] 1 [130509880742836:-306714670498265968:23639903] 41650bs2 [1,0,0,-1328864713,18645184675417] 1 [7205016:-109283:343]
41650bt (1 curve)	1	2- 5+ 7- 17+	2- -1 5+ 7- -1  5 17+ -6
Curve Equation t Generators 41650bt1 [1,1,1,-113,531] 1 [15:42:1]
41650bu (2 curves)	1	2- 5+ 7- 17+	2-  2 5+ 7- -4 -4 17+  6
Curve Equation t Generators 41650bu1 [1,1,1,38562,581531] 2 [111:2443:1] 41650bu2 [1,1,1,-157438,4501531] 2 [-365:3857:1]
41650bv (2 curves)	1	2- 5+ 7- 17+	2- -2 5+ 7-  0  2 17+  7
Curve Equation t Generators 41650bv1 [1,0,0,-113,-533] 1 [32212:706575:64] 41650bv2 [1,0,0,762,2092] 1 [6:80:1]
41650bw (1 curve)	1	2- 5+ 7- 17+	2- -2 5+ 7-  5 -6 17+ -5
Curve Equation t Generators 41650bw1 [1,0,0,-638,7972] 1 [18:40:1]
41650bx (1 curve)	1	2- 5+ 7- 17+	2-  3 5+ 7- -5 -3 17+  2
Curve Equation t Generators 41650bx1 [1,-1,1,-1872030,-3553096403] 1 [54723:815825:27]
41650by (2 curves)	0	2- 5+ 7- 17-	2-  0 5+ 7-  2  0 17-  6
Curve Equation t 41650by1 [1,-1,1,-177855,129324647] 2 41650by2 [1,-1,1,-5077855,4392324647] 2
41650bz (2 curves)	0	2- 5+ 7- 17-	2-  0 5+ 7-  6 -2 17-  8
Curve Equation t 41650bz1 [1,-1,1,-225630,43189997] 2 41650bz2 [1,-1,1,-3655630,2691149997] 2
41650ca (1 curve)	0	2- 5+ 7- 17-	2-  1 5+ 7- -2 -3 17- -1
Curve Equation t 41650ca1 [1,0,0,640037,1834558417] 1
41650cb (1 curve)	0	2- 5+ 7- 17-	2-  1 5+ 7-  4  3 17-  2
Curve Equation t 41650cb1 [1,0,0,66492,1077152] 1
41650cc (2 curves)	0	2- 5+ 7- 17-	2-  1 5+ 7-  6 -7 17- -5
Curve Equation t 41650cc1 [1,0,0,-52088,16640042] 1 41650cc2 [1,0,0,-6820213,6855049417] 1
41650cd (2 curves)	0	2- 5+ 7- 17-	2- -2 5+ 7- -2 -6 17-  8
Curve Equation t 41650cd1 [1,0,0,-9213,-295583] 2 41650cd2 [1,0,0,15287,-1594083] 2
41650ce (2 curves)	0	2- 5+ 7- 17-	2- -2 5+ 7-  3  2 17- -5
Curve Equation t 41650ce1 [1,0,0,-11270638,-14566218108] 1 41650ce2 [1,0,0,1744987,-45613689983] 1
41650cf (4 curves)	0	2- 5+ 7- 17-	2- -2 5+ 7-  6  2 17- -8
Curve Equation t 41650cf1 [1,0,0,-3128063,-2129649383] 2 41650cf2 [1,0,0,-3030063,-2269299383] 2 41650cf3 [1,0,0,-5106438,873211492] 2 41650cf4 [1,0,0,19981562,6919419492] 2
41650cg (1 curve)	0	2- 5+ 7- 17-	2-  3 5+ 7- -4 -3 17- -3
Curve Equation t 41650cg1 [1,-1,1,-12480,540397] 1
41650ch (1 curve)	0	2- 5+ 7- 17-	2- -3 5+ 7- -4  3 17- -6
Curve Equation t 41650ch1 [1,-1,1,9570,-772803] 1
41650ci (1 curve)	2	2- 5- 7+ 17-	2- -2 5- 7+ -5 -3 17- -7
Curve Equation t Generators 41650ci1 [1,0,0,-1373,21937] 1 [12:79:1]&[-38:159:1]
41650cj (1 curve)	0	2- 5- 7+ 17-	2- -3 5- 7+  0 -2 17- -2
Curve Equation t 41650cj1 [1,-1,1,-1974930,-1083942303] 1
41650ck (1 curve)	0	2- 5- 7- 17+	2- -1 5- 7- -2  3 17+  7
Curve Equation t 41650ck1 [1,1,1,-72545138,1964490476031] 1
41650cl (1 curve)	0	2- 5- 7- 17+	2- -1 5- 7- -2 -5 17+ -1
Curve Equation t 41650cl1 [1,1,1,-55763,-8336469] 1
41650cm (1 curve)	0	2- 5- 7- 17+	2-  2 5- 7- -5  3 17+  7
Curve Equation t 41650cm1 [1,1,1,-67278,-7591669] 1
41650cn (1 curve)	0	2- 5- 7- 17+	2-  3 5- 7-  0  2 17+  2
Curve Equation t 41650cn1 [1,-1,1,-40305,3171697] 1
41650co (1 curve)	1	2- 5- 7- 17-	2-  1 5- 7- -6  3 17-  7
Curve Equation t Generators 41650co1 [1,0,0,-883,-13343] 1 [102:929:1]

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