Cremona's table of elliptic curves

16650 = 2 · 3² · 5² · 37

Class	r	Atkin-Lehner	Eigenvalues
16650a (2 curves)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  0  2  2  2 -8
Curve Equation t Generators 16650a1 [1,-1,0,-942,13716] 2 [4:98:1] 16650a2 [1,-1,0,-15942,778716] 2 [45:366:1]
16650b (1 curve)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  3 -1 -1 -1  1
Curve Equation t Generators 16650b1 [1,-1,0,-1558317,-762685659] 1 [1058428533:29143018896:571787]
16650c (1 curve)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  3 -5  3  3  5
Curve Equation t Generators 16650c1 [1,-1,0,-642,6516] 1 [9:33:1]
16650d (1 curve)	0	2+ 3+ 5+ 37-	2+ 3+ 5+  2  0 -3  3  0
Curve Equation t 16650d1 [1,-1,0,-3867,89541] 1
16650e (1 curve)	0	2+ 3+ 5+ 37-	2+ 3+ 5+  3  1  1  7 -1
Curve Equation t 16650e1 [1,-1,0,2583,17741] 1
16650f (2 curves)	0	2+ 3+ 5+ 37-	2+ 3+ 5+ -4  0 -6 -6  6
Curve Equation t 16650f1 [1,-1,0,-639942,-196942284] 2 16650f2 [1,-1,0,-10239942,-12609742284] 2
16650g (1 curve)	0	2+ 3+ 5- 37+	2+ 3+ 5- -2  0  3  3  0
Curve Equation t 16650g1 [1,-1,0,-1392,-18784] 1
16650h (1 curve)	0	2+ 3- 5+ 37+	2+ 3- 5+  0  2 -1  5 -2
Curve Equation t 16650h1 [1,-1,0,-2322,22356] 1
16650i (4 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+  0  4 -6  6  8
Curve Equation t 16650i1 [1,-1,0,3483,21141] 2 16650i2 [1,-1,0,-14517,183141] 4 16650i3 [1,-1,0,-136017,-19135359] 2 16650i4 [1,-1,0,-181017,29653641] 2
16650j (3 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+  1 -3  4  3  2
Curve Equation t 16650j1 [1,-1,0,-12042,-505634] 1 16650j2 [1,-1,0,-4167,-1159259] 1 16650j3 [1,-1,0,37458,31100116] 1
16650k (2 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+  1 -3  7 -3 -1
Curve Equation t 16650k1 [1,-1,0,28458,5036116] 1 16650k2 [1,-1,0,-1594917,776638741] 1
16650l (2 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+ -2 -6  1  3  8
Curve Equation t 16650l1 [1,-1,0,-270117,5979541] 1 16650l2 [1,-1,0,-15879492,24359726416] 1
16650m (1 curve)	0	2+ 3- 5+ 37+	2+ 3- 5+ -3  5  2 -7 -2
Curve Equation t 16650m1 [1,-1,0,45558,1930716] 1
16650n (1 curve)	0	2+ 3- 5+ 37+	2+ 3- 5+ -3 -5 -3  3 -7
Curve Equation t 16650n1 [1,-1,0,-41021442,-101116930284] 1
16650o (2 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+  4  0 -2  0  5
Curve Equation t 16650o1 [1,-1,0,-106992,-32163584] 1 16650o2 [1,-1,0,933633,730614541] 1
16650p (4 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+  4 -6 -2 -6  2
Curve Equation t 16650p1 [1,-1,0,-70317,-8805659] 2 16650p2 [1,-1,0,-1195317,-502680659] 2 16650p3 [1,-1,0,520308,73291216] 2 16650p4 [1,-1,0,-2359692,623371216] 2
16650q (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+  0  1 -2  7  5
Curve Equation t Generators 16650q1 [1,-1,0,-27942,-1920844] 1 [3098975:7144273:15625]
16650r (4 curves)	1	2+ 3- 5+ 37-	2+ 3- 5+  0  4 -2 -2 -4
Curve Equation t Generators 16650r1 [1,-1,0,-1167,-12259] 2 [-17:58:1] 16650r2 [1,-1,0,-5667,154241] 4 [-41:583:1] 16650r3 [1,-1,0,-88917,10227491] 2 [175:-29:1] 16650r4 [1,-1,0,5583,682991] 2 [-11:793:1]
16650s (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+  0 -6  5 -7 -2
Curve Equation t Generators 16650s1 [1,-1,0,-17172,870426] 1 [75:-24:1]
16650t (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+  1  1  3  3 -5
Curve Equation t Generators 16650t1 [1,-1,0,333,154741] 1 [-31:353:1]
16650u (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+ -1  1 -2 -7 -2
Curve Equation t Generators 16650u1 [1,-1,0,333,8991] 1 [9:108:1]
16650v (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+ -1 -3  0  3 -6
Curve Equation t Generators 16650v1 [1,-1,0,2808,81216] 1 [-21:123:1]
16650w (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+ -1  5 -2  1  6
Curve Equation t Generators 16650w1 [1,-1,0,-41292,-205262384] 1 [629:3848:1]
16650x (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+  2  2 -5 -5  0
Curve Equation t Generators 16650x1 [1,-1,0,-117,-419] 1 [-7:8:1]
16650y (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+ -3  3  5  5  1
Curve Equation t Generators 16650y1 [1,-1,0,-792,-14634] 1 [39:93:1]
16650z (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+  4  2  4 -2 -7
Curve Equation t Generators 16650z1 [1,-1,0,-16992,-861084] 1 [208:2034:1]
16650ba (4 curves)	1	2+ 3- 5+ 37-	2+ 3- 5+  4 -4 -2 -2  8
Curve Equation t Generators 16650ba1 [1,-1,0,-320262417,2074555707741] 2 [12342289836644814249349807274:671410955957625848207333032363:816218145224526431394701] 16650ba2 [1,-1,0,-5038854417,137672734011741] 4 [4313978014324440:-39113837361113073:107850176000] 16650ba3 [1,-1,0,-80621574417,8811016602171741] 2 [1280024580:-22598165157:8000] 16650ba4 [1,-1,0,-4953606417,142555654203741] 2 [16125829018016615478917507640:2007958240797806102854206581373:274959248513988235456000]
16650bb (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+ -4  2  4 -2 -3
Curve Equation t Generators 16650bb1 [1,-1,0,28323,4553221] 1 [138:3259:1]
16650bc (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+ -4 -3 -6  3 -3
Curve Equation t Generators 16650bc1 [1,-1,0,-27,351] 1 [-5:21:1]
16650bd (4 curves)	1	2+ 3- 5+ 37-	2+ 3- 5+ -4 -4 -2 -2  0
Curve Equation t Generators 16650bd1 [1,-1,0,-43906167,-111967972259] 2 [-785155494250603:383420211890837:205274587699] 16650bd2 [1,-1,0,-43978167,-111582268259] 4 [-19204985:-109357262:4913] 16650bd3 [1,-1,0,-72103167,48533356741] 2 [113:200909:1] 16650bd4 [1,-1,0,-17005167,-247013701259] 2 [1532756076635:-153674518824118:119823157]
16650be (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5-  1  3 -4  3  0
Curve Equation t Generators 16650be1 [1,-1,0,-87,-379] 1 [19:58:1]
16650bf (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5-  1 -5  0 -1  0
Curve Equation t Generators 16650bf1 [1,-1,0,-1311867,579041541] 1 [819:6903:1]
16650bg (2 curves)	1	2+ 3- 5- 37+	2+ 3- 5-  2  0  2 -2 -2
Curve Equation t Generators 16650bg1 [1,-1,0,-70992,-7260084] 2 [15844:1986078:1] 16650bg2 [1,-1,0,-82242,-4796334] 2 [-498:2499:8]
16650bh (2 curves)	1	2+ 3- 5- 37+	2+ 3- 5-  2 -4 -6  6  2
Curve Equation t Generators 16650bh1 [1,-1,0,-432,-2624] 2 [-7:8:1] 16650bh2 [1,-1,0,-2232,38776] 2 [-1:203:1]
16650bi (2 curves)	1	2+ 3- 5- 37+	2+ 3- 5- -2  0  2  6 -6
Curve Equation t Generators 16650bi1 [1,-1,0,-192867,32155541] 2 [223:334:1] 16650bi2 [1,-1,0,-3072867,2074075541] 2 [919:4603:1]
16650bj (1 curve)	2	2+ 3- 5- 37-	2+ 3- 5-  0 -4 -2 -8 -5
Curve Equation t Generators 16650bj1 [1,-1,0,-117,39541] 1 [-31:128:1]&[-30:139:1]
16650bk (1 curve)	0	2+ 3- 5- 37-	2+ 3- 5- -2  2 -1 -1 -4
Curve Equation t 16650bk1 [1,-1,0,-58617,5318541] 1
16650bl (2 curves)	0	2+ 3- 5- 37-	2+ 3- 5- -2  2 -6 -6 -4
Curve Equation t 16650bl1 [1,-1,0,-12191742,-16819647084] 2 16650bl2 [1,-1,0,-196511742,-1060255167084] 2
16650bm (1 curve)	0	2+ 3- 5- 37-	2+ 3- 5- -5 -1  0  3  8
Curve Equation t 16650bm1 [1,-1,0,-1647,-163539] 1
16650bn (2 curves)	0	2- 3+ 5+ 37+	2- 3+ 5+  0 -2  2 -2 -8
Curve Equation t 16650bn1 [1,-1,1,-8480,-361853] 2 16650bn2 [1,-1,1,-143480,-20881853] 2
16650bo (1 curve)	0	2- 3+ 5+ 37+	2- 3+ 5+  3  1 -1  1  1
Curve Equation t 16650bo1 [1,-1,1,-14024855,20606537647] 1
16650bp (1 curve)	0	2- 3+ 5+ 37+	2- 3+ 5+  3  5  3 -3  5
Curve Equation t 16650bp1 [1,-1,1,-5780,-170153] 1
16650bq (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+  2  0 -3 -3  0
Curve Equation t Generators 16650bq1 [1,-1,1,-34805,-2382803] 1 [-125:116:1]
16650br (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+  3 -1  1 -7 -1
Curve Equation t Generators 16650br1 [1,-1,1,23245,-502253] 1 [79:1310:1]
16650bs (2 curves)	1	2- 3+ 5+ 37-	2- 3+ 5+ -4  0 -6  6  6
Curve Equation t Generators 16650bs1 [1,-1,1,-5759480,5323201147] 2 [1229:9385:1] 16650bs2 [1,-1,1,-92159480,340555201147] 2 [5293:29321:1]
16650bt (1 curve)	1	2- 3+ 5- 37+	2- 3+ 5- -2  0  3 -3  0
Curve Equation t Generators 16650bt1 [1,-1,1,-155,747] 1 [-1:30:1]
16650bu (6 curves)	1	2- 3- 5+ 37+	2- 3- 5+  0 -4  2  2  4
Curve Equation t Generators 16650bu1 [1,-1,1,-190130,-109799503] 2 [1249:39375:1] 16650bu2 [1,-1,1,-4798130,-4035815503] 4 [-1221:1735:1] 16650bu3 [1,-1,1,-76726130,-258660935503] 2 [92599:28000575:1] 16650bu4 [1,-1,1,-6598130,-731015503] 4 [2779:47485:1] 16650bu5 [1,-1,1,-68203130,215872164497] 2 [3039:189955:1] 16650bu6 [1,-1,1,26206870,-5848595503] 2 [2499527:427499405:4913]
16650bv (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+  0 -4  2  8 -5
Curve Equation t Generators 16650bv1 [1,-1,1,-5,317] 1 [3:16:1]
16650bw (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+  1 -3  1 -3 -7
Curve Equation t Generators 16650bw1 [1,-1,1,445,13947] 1 [29:210:1] 16650bw2 [1,-1,1,-33305,2349447] 1 [862:15:8]
16650bx (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+  1 -3 -2  3  2
Curve Equation t Generators 16650bx1 [1,-1,1,-18764105,41746941897] 1 [7559:-579780:1] 16650bx2 [1,-1,1,-1656908105,25959880701897] 1 [24029:128610:1]
16650by (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+  2  2  1  1 -4
Curve Equation t Generators 16650by1 [1,-1,1,-2345,43017] 1 [-7:246:1]
16650bz (4 curves)	1	2- 3- 5+ 37+	2- 3- 5+ -2  0 -2  6  2
Curve Equation t Generators 16650bz1 [1,-1,1,-16880,465747] 2 [-61:1155:1] 16650bz2 [1,-1,1,55120,3345747] 2 [99:3075:1] 16650bz3 [1,-1,1,-1186880,497985747] 2 [539:3555:1] 16650bz4 [1,-1,1,-1182380,501945747] 2 [549:3975:1]
16650ca (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+ -3 -1 -1 -1 -5
Curve Equation t Generators 16650ca1 [1,-1,1,-194630,33097997] 1 [279:535:1]
16650cb (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+ -4  2 -2 -2  2
Curve Equation t Generators 16650cb1 [1,-1,1,-230,-17103] 2 [149:1725:1] 16650cb2 [1,-1,1,-11480,-467103] 2 [1342:11475:8]
16650cc (2 curves)	0	2- 3- 5+ 37-	2- 3- 5+  0  2  2  6  6
Curve Equation t 16650cc1 [1,-1,1,-257855,79644647] 2 16650cc2 [1,-1,1,-4757855,3994644647] 2
16650cd (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  3  5  2  3 -6
Curve Equation t 16650cd1 [1,-1,1,-29255,-1954753] 1
16650ce (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+ -3 -1 -1 -3  3
Curve Equation t 16650ce1 [1,-1,1,3820,-581803] 1
16650cf (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  5  5  1 -5 -3
Curve Equation t 16650cf1 [1,-1,1,-63230,-8031603] 1
16650cg (1 curve)	0	2- 3- 5- 37+	2- 3- 5-  0  1  2 -7  5
Curve Equation t 16650cg1 [1,-1,1,-698555,-240804053] 1
16650ch (1 curve)	0	2- 3- 5- 37+	2- 3- 5-  0 -6 -5  7 -2
Curve Equation t 16650ch1 [1,-1,1,-429305,108373947] 1
16650ci (2 curves)	0	2- 3- 5- 37+	2- 3- 5-  2  2  6  6 -4
Curve Equation t 16650ci1 [1,-1,1,-487670,-134459643] 2 16650ci2 [1,-1,1,-7860470,-8480469243] 2
16650cj (1 curve)	0	2- 3- 5- 37+	2- 3- 5- -2  2  5  5  0
Curve Equation t 16650cj1 [1,-1,1,-2930,-55303] 1
16650ck (1 curve)	0	2- 3- 5- 37+	2- 3- 5-  4  2 -4  2 -3
Curve Equation t 16650ck1 [1,-1,1,708070,569860697] 1
16650cl (1 curve)	0	2- 3- 5- 37+	2- 3- 5-  4 -3  6 -3 -3
Curve Equation t 16650cl1 [1,-1,1,-680,43197] 1
16650cm (1 curve)	0	2- 3- 5- 37+	2- 3- 5- -4  2 -4  2 -7
Curve Equation t 16650cm1 [1,-1,1,-680,-6753] 1
16650cn (1 curve)	0	2- 3- 5- 37+	2- 3- 5-  5 -1  0 -3  8
Curve Equation t 16650cn1 [1,-1,1,-41180,-20483553] 1
16650co (1 curve)	1	2- 3- 5- 37-	2- 3- 5-  0  2  1 -5 -2
Curve Equation t Generators 16650co1 [1,-1,1,-58055,2736447] 1 [-181:2790:1]
16650cp (1 curve)	1	2- 3- 5- 37-	2- 3- 5- -1  3  4 -3  0
Curve Equation t Generators 16650cp1 [1,-1,1,-2180,-49553] 1 [319:5465:1]
16650cq (1 curve)	1	2- 3- 5- 37-	2- 3- 5- -1 -5  0  1  0
Curve Equation t Generators 16650cq1 [1,-1,1,-52475,4642827] 1 [209:1560:1]
16650cr (2 curves)	1	2- 3- 5- 37-	2- 3- 5-  2  0 -2 -6 -6
Curve Equation t Generators 16650cr1 [1,-1,1,-7715,258787] 2 [43:50:1] 16650cr2 [1,-1,1,-122915,16617187] 2 [175:578:1]
16650cs (2 curves)	1	2- 3- 5- 37-	2- 3- 5-  2 -6 -1 -3  8
Curve Equation t Generators 16650cs1 [1,-1,1,-10805,49997] 1 [-45:688:1] 16650cs2 [1,-1,1,-635180,195004847] 3 [-171:17365:1]
16650ct (2 curves)	1	2- 3- 5- 37-	2- 3- 5- -2  0 -2  2 -2
Curve Equation t Generators 16650ct1 [1,-1,1,-2840,-57513] 2 [609:14655:1] 16650ct2 [1,-1,1,-3290,-37713] 2 [-386:855:8]
16650cu (2 curves)	1	2- 3- 5- 37-	2- 3- 5- -2 -4  6 -6  2
Curve Equation t Generators 16650cu1 [1,-1,1,-10805,-338803] 2 [-45:256:1] 16650cu2 [1,-1,1,-55805,4791197] 2 [-87:3040:1]
16650cv (2 curves)	1	2- 3- 5- 37-	2- 3- 5- -4  0  2  0  5
Curve Equation t Generators 16650cv1 [1,-1,1,-4280,-256453] 1 [105:613:1] 16650cv2 [1,-1,1,37345,5837447] 3 [-45:2038:1]

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