Cremona's table of elliptic curves

104550 = 2 · 3 · 5² · 17 · 41

Class	r	Atkin-Lehner	Eigenvalues
104550a (1 curve)	2	2+ 3+ 5+ 17+ 41-	2+ 3+ 5+ -1  1 -1 17+ -8
Curve Equation t Generators 104550a1 [1,1,0,-3275,40125] 1 [70:365:1]&[-5:240:1]
104550b (1 curve)	0	2+ 3+ 5+ 17+ 41-	2+ 3+ 5+ -1  5 -4 17+ -5
Curve Equation t 104550b1 [1,1,0,-16720,508210] 1
104550c (1 curve)	0	2+ 3+ 5+ 17+ 41-	2+ 3+ 5+  5 -1  6 17+  1
Curve Equation t 104550c1 [1,1,0,-405325,95852125] 1
104550d (2 curves)	0	2+ 3+ 5+ 17- 41+	2+ 3+ 5+ -2 -6  4 17-  8
Curve Equation t 104550d1 [1,1,0,-6315,-356355] 1 104550d2 [1,1,0,-621915,-189034515] 1
104550e (2 curves)	0	2+ 3+ 5+ 17- 41+	2+ 3+ 5+ -5 -3 -5 17-  8
Curve Equation t 104550e1 [1,1,0,-90251375,324556297125] 1 104550e2 [1,1,0,-817428875,-8853227475375] 1
104550f (1 curve)	1	2+ 3+ 5+ 17- 41-	2+ 3+ 5+  1  3  0 17-  1
Curve Equation t Generators 104550f1 [1,1,0,-110,390] 1 [-11:26:1]
104550g (2 curves)	1	2+ 3+ 5+ 17- 41-	2+ 3+ 5+  1  6 -2 17- -4
Curve Equation t Generators 104550g1 [1,1,0,49675900,10115682000] 1 [-24:94476:1] 104550g2 [1,1,0,-649948100,-6929224518000] 1 [37776:4716876:1]
104550h (1 curve)	1	2+ 3+ 5+ 17- 41-	2+ 3+ 5+ -1  5  6 17-  1
Curve Equation t Generators 104550h1 [1,1,0,-205245,27751005] 1 [91:3091:1]
104550i (1 curve)	1	2+ 3+ 5+ 17- 41-	2+ 3+ 5+  3  5  1 17-  0
Curve Equation t Generators 104550i1 [1,1,0,-95650,4472500] 1 [300:1550:1]
104550j (1 curve)	1	2+ 3+ 5+ 17- 41-	2+ 3+ 5+ -3 -1  4 17- -3
Curve Equation t Generators 104550j1 [1,1,0,-16600,-27320] 1 [-9:353:1]
104550k (4 curves)	1	2+ 3+ 5+ 17- 41-	2+ 3+ 5+  4  0 -6 17- -8
Curve Equation t Generators 104550k1 [1,1,0,-268875,-18871875] 2 [-474:1773:1] 104550k2 [1,1,0,-3468875,-2486071875] 4 [-1099:1148:1] 104550k3 [1,1,0,-2648875,-3690651875] 2 [771043:-14612807:343] 104550k4 [1,1,0,-55488875,-159118291875] 2 [-29502041:14691909:6859]
104550l (1 curve)	0	2+ 3+ 5- 17+ 41+	2+ 3+ 5-  3 -1 -1 17+  7
Curve Equation t 104550l1 [1,1,0,425,2125] 1
104550m (1 curve)	0	2+ 3+ 5- 17+ 41+	2+ 3+ 5-  5 -1 -5 17+  4
Curve Equation t 104550m1 [1,1,0,-3439825,2454047125] 1
104550n (1 curve)	1	2+ 3+ 5- 17+ 41-	2+ 3+ 5-  3  0  0 17+ -3
Curve Equation t Generators 104550n1 [1,1,0,2055,21675] 1 [862:9395:8]
104550o (1 curve)	1	2+ 3+ 5- 17- 41+	2+ 3+ 5- -1 -3  0 17-  1
Curve Equation t Generators 104550o1 [1,1,0,-149825,20107125] 1 [135:1470:1]
104550p (1 curve)	0	2+ 3+ 5- 17- 41-	2+ 3+ 5- -1  0 -4 17-  1
Curve Equation t 104550p1 [1,1,0,-253695,-49292475] 1
104550q (1 curve)	0	2+ 3+ 5- 17- 41-	2+ 3+ 5-  3  3  1 17- -7
Curve Equation t 104550q1 [1,1,0,-450,4050] 1
104550r (1 curve)	0	2+ 3+ 5- 17- 41-	2+ 3+ 5-  3 -5  0 17- -5
Curve Equation t 104550r1 [1,1,0,-39990825,97318837125] 1
104550s (1 curve)	0	2+ 3- 5+ 17+ 41+	2+ 3- 5+  1  3 -2 17+  5
Curve Equation t 104550s1 [1,0,1,-84636,-1135142] 1
104550t (4 curves)	1	2+ 3- 5+ 17+ 41-	2+ 3- 5+  0  4 -2 17+  0
Curve Equation t Generators 104550t1 [1,0,1,-264676,52388498] 2 [298:-118:1] 104550t2 [1,0,1,-265176,52180498] 4 [236:1542:1] 104550t3 [1,0,1,-90926,119789498] 2 [-48:11161:1] 104550t4 [1,0,1,-447426,-28738502] 2 [-214:7671:1]
104550u (1 curve)	1	2+ 3- 5+ 17+ 41-	2+ 3- 5+ -1 -1  1 17+  4
Curve Equation t Generators 104550u1 [1,0,1,-14892751,22115008898] 1 [1207:76196:1]
104550v (1 curve)	1	2+ 3- 5+ 17+ 41-	2+ 3- 5+ -1 -1  4 17+ -1
Curve Equation t Generators 104550v1 [1,0,1,-401,1478] 1 [36:-203:1]
104550w (1 curve)	1	2+ 3- 5+ 17+ 41-	2+ 3- 5+  5  0 -3 17+  6
Curve Equation t Generators 104550w1 [1,0,1,307799,37269548] 1 [67390330:3486486263:343000]
104550x (4 curves)	1	2+ 3- 5+ 17- 41+	2+ 3- 5+  0 -4 -2 17-  4
Curve Equation t Generators 104550x1 [1,0,1,-13876,430898] 2 [-128:401:1] 104550x2 [1,0,1,-85876,-9361102] 4 [-192:337:1] 104550x3 [1,0,1,37124,-33961102] 2 [106344:878191:343] 104550x4 [1,0,1,-1360876,-611161102] 2 [-8201064:3833618:12167]
104550y (1 curve)	1	2+ 3- 5+ 17- 41+	2+ 3- 5+  3  2  2 17- -8
Curve Equation t Generators 104550y1 [1,0,1,-3251,481898] 1 [81:826:1]
104550z (1 curve)	1	2+ 3- 5+ 17- 41+	2+ 3- 5+ -3 -1  4 17- -5
Curve Equation t Generators 104550z1 [1,0,1,-361169701,2641847537048] 1 [10078:-165001:1]
104550ba (1 curve)	1	2+ 3- 5+ 17- 41+	2+ 3- 5+ -3 -1 -4 17- -1
Curve Equation t Generators 104550ba1 [1,0,1,-1011,-7922] 1 [-22:72:1]
104550bb (2 curves)	1	2+ 3- 5+ 17- 41+	2+ 3- 5+  4 -4  4 17- -8
Curve Equation t Generators 104550bb1 [1,0,1,-3001,61148] 2 [36:-8:1] 104550bb2 [1,0,1,999,213148] 2 [38:534:1]
104550bc (2 curves)	1	2+ 3- 5- 17+ 41+	2+ 3- 5-  0 -4 -6 17+  4
Curve Equation t Generators 104550bc1 [1,0,1,-98576,-16455202] 2 [441:4867:1] 104550bc2 [1,0,1,-1738576,-882375202] 2 [-767:587:1]
104550bd (1 curve)	0	2+ 3- 5- 17- 41+	2+ 3- 5- -1 -3  1 17-  4
Curve Equation t 104550bd1 [1,0,1,-347706,-78943892] 1
104550be (1 curve)	0	2+ 3- 5- 17- 41+	2+ 3- 5-  3 -3 -3 17- -4
Curve Equation t 104550be1 [1,0,1,-223576,-40680202] 1
104550bf (2 curves)	1	2+ 3- 5- 17- 41-	2+ 3- 5-  0  0  2 17-  0
Curve Equation t Generators 104550bf1 [1,0,1,2779,38288] 2 [3:214:1] 104550bf2 [1,0,1,-13621,333488] 2 [-89:962:1]
104550bg (1 curve)	1	2+ 3- 5- 17- 41-	2+ 3- 5-  3  0  0 17- -1
Curve Equation t Generators 104550bg1 [1,0,1,-210451,38174798] 1 [502:7436:1]
104550bh (2 curves)	0	2- 3+ 5+ 17+ 41+	2- 3+ 5+  1  3 -5 17+ -4
Curve Equation t 104550bh1 [1,1,1,-6588,193281] 1 104550bh2 [1,1,1,-89463,-10287219] 1
104550bi (1 curve)	1	2- 3+ 5+ 17+ 41-	2- 3+ 5+  3 -1  7 17+  0
Curve Equation t Generators 104550bi1 [1,1,1,-1243213,529526531] 1 [595:652:1]
104550bj (2 curves)	1	2- 3+ 5+ 17- 41+	2- 3+ 5+ -2  4  0 17- -8
Curve Equation t Generators 104550bj1 [1,1,1,-33979838,-64016200969] 2 [-321768129834:-10875315253595:101194696] 104550bj2 [1,1,1,63676412,-364016200969] 2 [5270064069141510570202922:-732255736550272147298659365:316422377999792965432]
104550bk (1 curve)	0	2- 3+ 5+ 17- 41-	2- 3+ 5+  5 -5  3 17- -4
Curve Equation t 104550bk1 [1,1,1,-25313,1298531] 1
104550bl (1 curve)	1	2- 3+ 5- 17+ 41+	2- 3+ 5-  1 -3 -1 17+  4
Curve Equation t Generators 104550bl1 [1,1,1,-8692638,-9867986469] 1 [-46005:32989:27]
104550bm (1 curve)	1	2- 3+ 5- 17+ 41+	2- 3+ 5-  3 -1  4 17+ -1
Curve Equation t Generators 104550bm1 [1,1,1,-25263,-990219] 1 [-69:690:1]
104550bn (1 curve)	1	2- 3+ 5- 17+ 41+	2- 3+ 5-  3 -1 -4 17+ -5
Curve Equation t Generators 104550bn1 [1,1,1,-14446788,21129001581] 1 [-4389:5843:1]
104550bo (1 curve)	1	2- 3+ 5- 17+ 41+	2- 3+ 5- -3 -3  3 17+ -4
Curve Equation t Generators 104550bo1 [1,1,1,-8943,-329019] 1 [-55:42:1]
104550bp (2 curves)	0	2- 3+ 5- 17+ 41-	2- 3+ 5-  0  0 -2 17+  0
Curve Equation t 104550bp1 [1,1,1,69487,4786031] 2 104550bp2 [1,1,1,-340513,41686031] 2
104550bq (1 curve)	2	2- 3+ 5- 17+ 41-	2- 3+ 5- -3  0  0 17+ -1
Curve Equation t Generators 104550bq1 [1,1,1,-8418,302031] 1 [-105:257:1]&[5:507:1]
104550br (2 curves)	0	2- 3+ 5- 17- 41+	2- 3+ 5-  0 -4  6 17-  4
Curve Equation t 104550br1 [1,1,1,-3943,-133219] 2 104550br2 [1,1,1,-69543,-7086819] 2
104550bs (1 curve)	0	2- 3+ 5- 17- 41+	2- 3+ 5- -1  3  2 17-  5
Curve Equation t 104550bs1 [1,1,1,-2115888,-141892719] 1
104550bt (1 curve)	1	2- 3+ 5- 17- 41-	2- 3+ 5-  1 -1 -4 17- -1
Curve Equation t Generators 104550bt1 [1,1,1,-10013,184781] 1 [1030:7681:8]
104550bu (1 curve)	1	2- 3+ 5- 17- 41-	2- 3+ 5- -5  0  3 17-  6
Curve Equation t Generators 104550bu1 [1,1,1,12312,303081] 1 [-11:413:1]
104550bv (1 curve)	1	2- 3- 5+ 17+ 41+	2- 3- 5+  1 -3  0 17+  1
Curve Equation t Generators 104550bv1 [1,0,0,-5993,160857] 1 [-14:499:1]
104550bw (4 curves)	0	2- 3- 5+ 17+ 41-	2- 3- 5+  0  0  2 17+  8
Curve Equation t 104550bw1 [1,0,0,3312,-139008] 2 104550bw2 [1,0,0,-28688,-1579008] 4 104550bw3 [1,0,0,-130688,16678992] 2 104550bw4 [1,0,0,-438688,-111869008] 2
104550bx (2 curves)	0	2- 3- 5+ 17+ 41-	2- 3- 5+  0 -4  0 17+  2
Curve Equation t 104550bx1 [1,0,0,-513,-3483] 2 104550bx2 [1,0,0,-2763,52767] 2
104550by (1 curve)	0	2- 3- 5+ 17+ 41-	2- 3- 5+  3  2  6 17+  8
Curve Equation t 104550by1 [1,0,0,-4038,2254692] 1
104550bz (1 curve)	2	2- 3- 5+ 17+ 41-	2- 3- 5+ -3 -2 -6 17+ -5
Curve Equation t Generators 104550bz1 [1,0,0,10437,553617] 1 [162:2469:1]&[-42:225:1]
104550ca (1 curve)	0	2- 3- 5+ 17+ 41-	2- 3- 5+ -3  3 -1 17+ -7
Curve Equation t 104550ca1 [1,0,0,-11263,528767] 1
104550cb (1 curve)	2	2- 3- 5+ 17+ 41-	2- 3- 5+ -3 -5  0 17+ -5
Curve Equation t Generators 104550cb1 [1,0,0,-1599633,778550697] 1 [666:2619:1]&[-1044:36729:1]
104550cc (1 curve)	0	2- 3- 5+ 17- 41+	2- 3- 5+  1 -3  3 17-  0
Curve Equation t 104550cc1 [1,0,0,-1563,-23883] 1
104550cd (1 curve)	0	2- 3- 5+ 17- 41+	2- 3- 5+ -1 -6  2 17-  7
Curve Equation t 104550cd1 [1,0,0,-1088,22542] 1
104550ce (2 curves)	0	2- 3- 5+ 17- 41+	2- 3- 5+  2  0  2 17-  4
Curve Equation t 104550ce1 [1,0,0,-132888,-18652608] 2 104550ce2 [1,0,0,-116888,-23308608] 2
104550cf (1 curve)	0	2- 3- 5+ 17- 41+	2- 3- 5+  3  2 -2 17-  0
Curve Equation t 104550cf1 [1,0,0,-10688,-427008] 1
104550cg (1 curve)	0	2- 3- 5+ 17- 41+	2- 3- 5+ -3 -1  1 17-  7
Curve Equation t 104550cg1 [1,0,0,17,17] 1
104550ch (2 curves)	0	2- 3- 5+ 17- 41+	2- 3- 5+  4  0  6 17- -6
Curve Equation t 104550ch1 [1,0,0,-225688,41244992] 2 104550ch2 [1,0,0,-207688,48102992] 2
104550ci (2 curves)	0	2- 3- 5+ 17- 41+	2- 3- 5+ -4  0  2 17-  2
Curve Equation t 104550ci1 [1,0,0,-202588,-33150208] 2 104550ci2 [1,0,0,161912,-139219708] 2
104550cj (2 curves)	0	2- 3- 5- 17+ 41+	2- 3- 5-  2 -6 -4 17+  8
Curve Equation t 104550cj1 [1,0,0,-157888,-44228608] 3 104550cj2 [1,0,0,-15547888,-23598218608] 1
104550ck (1 curve)	1	2- 3- 5- 17+ 41-	2- 3- 5-  1  0  4 17+  1
Curve Equation t Generators 104550ck1 [1,0,0,-6342388,-6148874608] 1 [3688:141772:1]
104550cl (1 curve)	1	2- 3- 5- 17+ 41-	2- 3- 5-  1  5 -6 17+  1
Curve Equation t Generators 104550cl1 [1,0,0,-5131138,3479137892] 1 [-1798:83924:1]
104550cm (1 curve)	1	2- 3- 5- 17+ 41-	2- 3- 5- -1  3  0 17+  1
Curve Equation t Generators 104550cm1 [1,0,0,-2763,54267] 1 [20390:70493:1000]
104550cn (1 curve)	1	2- 3- 5- 17+ 41-	2- 3- 5-  3 -1 -4 17+ -3
Curve Equation t Generators 104550cn1 [1,0,0,-415013,-2584983] 1 [-248:-9101:1]
104550co (1 curve)	1	2- 3- 5- 17- 41+	2- 3- 5- -5 -1  5 17-  4
Curve Equation t Generators 104550co1 [1,0,0,-137593,19632377] 1 [122:-2221:1]
104550cp (1 curve)	0	2- 3- 5- 17- 41-	2- 3- 5-  1  5  4 17- -5
Curve Equation t 104550cp1 [1,0,0,-418013,64362267] 1
104550cq (1 curve)	0	2- 3- 5- 17- 41-	2- 3- 5- -3  0  0 17- -3
Curve Equation t 104550cq1 [1,0,0,51362,2606642] 1
104550cr (1 curve)	2	2- 3- 5- 17- 41-	2- 3- 5- -5 -1 -6 17-  1
Curve Equation t Generators 104550cr1 [1,0,0,-16213,766817] 1 [188:1997:1]&[-118:1079:1]

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