Cremona's table of elliptic curves

56550 = 2 · 3 · 5² · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
56550a (1 curve)	1	2+ 3+ 5+ 13+ 29+	2+ 3+ 5+  1  4 13+  3  1
Curve Equation t Generators 56550a1 [1,1,0,-20710950,-35823163500] 1 [-54137366143037615664386836885554669429:231481445799040146301968048600504281666:19091605871486365146711298601870661]
56550b (1 curve)	0	2+ 3+ 5+ 13+ 29-	2+ 3+ 5+  2 -1 13+  7 -2
Curve Equation t 56550b1 [1,1,0,-6975,253125] 1
56550c (1 curve)	0	2+ 3+ 5+ 13+ 29-	2+ 3+ 5+  2 -5 13+ -3  0
Curve Equation t 56550c1 [1,1,0,-1609790,-786814860] 1
56550d (4 curves)	0	2+ 3+ 5+ 13- 29+	2+ 3+ 5+  0  0 13-  6  4
Curve Equation t 56550d1 [1,1,0,17975,-1026875] 2 56550d2 [1,1,0,-110025,-10114875] 4 56550d3 [1,1,0,-650025,193465125] 2 56550d4 [1,1,0,-1618025,-792766875] 2
56550e (1 curve)	0	2+ 3+ 5+ 13- 29+	2+ 3+ 5+  2 -1 13- -1  0
Curve Equation t 56550e1 [1,1,0,-39024855,-94227416235] 1
56550f (1 curve)	0	2+ 3+ 5+ 13- 29+	2+ 3+ 5+  2 -1 13-  2 -6
Curve Equation t 56550f1 [1,1,0,-415,-10235] 1
56550g (1 curve)	0	2+ 3+ 5+ 13- 29+	2+ 3+ 5+  2 -1 13-  5  6
Curve Equation t 56550g1 [1,1,0,21875,-1953125] 1
56550h (2 curves)	2	2+ 3+ 5+ 13- 29+	2+ 3+ 5+ -4 -4 13- -4  0
Curve Equation t Generators 56550h1 [1,1,0,-47625,-3922875] 2 [-139:258:1]&[-135:330:1] 56550h2 [1,1,0,10375,-12796875] 2 [230:1235:1]&[430:-8665:1]
56550i (4 curves)	1	2+ 3+ 5+ 13- 29-	2+ 3+ 5+  0 -4 13- -2  0
Curve Equation t Generators 56550i1 [1,1,0,-707875,65402125] 2 [-810:10805:1] 56550i2 [1,1,0,-6539875,-6390621875] 4 [-1539:6431:1] 56550i3 [1,1,0,-1976875,-15137892875] 2 [3861:184631:1] 56550i4 [1,1,0,-104414875,-410712246875] 2 [-1774399257:838517404:300763]
56550j (1 curve)	1	2+ 3+ 5+ 13- 29-	2+ 3+ 5+ -1 -6 13- -7 -7
Curve Equation t Generators 56550j1 [1,1,0,-20325,-997875] 1 [-59:46:1]
56550k (1 curve)	0	2+ 3+ 5- 13+ 29+	2+ 3+ 5-  0 -4 13+ -3  2
Curve Equation t 56550k1 [1,1,0,175,-4125] 1
56550l (2 curves)	0	2+ 3+ 5- 13+ 29+	2+ 3+ 5-  0  6 13+  2 -8
Curve Equation t 56550l1 [1,1,0,-2172950,1231756500] 2 56550l2 [1,1,0,-2412950,942556500] 2
56550m (2 curves)	0	2+ 3+ 5- 13+ 29+	2+ 3+ 5-  0 -6 13+ -4 -2
Curve Equation t 56550m1 [1,1,0,-17959390,-2057458700] 2 56550m2 [1,1,0,-190196190,1005700058100] 2
56550n (2 curves)	0	2+ 3+ 5- 13+ 29+	2+ 3+ 5-  2 -3 13+  7  0
Curve Equation t 56550n1 [1,1,0,-4500,-127650] 1 56550n2 [1,1,0,4925,8702125] 1
56550o (2 curves)	1	2+ 3+ 5- 13+ 29-	2+ 3+ 5- -4  2 13+  0  2
Curve Equation t Generators 56550o1 [1,1,0,-21340,-1146500] 2 [190:1210:1] 56550o2 [1,1,0,-63390,4698450] 2 [219:1065:1]
56550p (2 curves)	1	2+ 3+ 5- 13+ 29-	2+ 3+ 5- -4  6 13+  2  0
Curve Equation t Generators 56550p1 [1,1,0,-670,-5900] 2 [-15:40:1] 56550p2 [1,1,0,-3070,58900] 2 [75:470:1]
56550q (1 curve)	0	2+ 3- 5+ 13+ 29+	2+ 3- 5+  2  3 13+ -5 -6
Curve Equation t 56550q1 [1,0,1,-1300476,570743098] 1
56550r (2 curves)	0	2+ 3- 5+ 13+ 29+	2+ 3- 5+ -2  2 13+  2 -6
Curve Equation t 56550r1 [1,0,1,-242276,-15014302] 2 56550r2 [1,0,1,909724,-116390302] 2
56550s (1 curve)	0	2+ 3- 5+ 13+ 29+	2+ 3- 5+ -3 -2 13+  3 -5
Curve Equation t 56550s1 [1,0,1,-281,-1252] 1
56550t (4 curves)	0	2+ 3- 5+ 13+ 29+	2+ 3- 5+  4 -4 13+  2  0
Curve Equation t 56550t1 [1,0,1,862874,529388648] 2 56550t2 [1,0,1,-6949626,5810638648] 4 56550t3 [1,0,1,-33230876,-68407611352] 2 56550t4 [1,0,1,-105668376,418060138648] 2
56550u (1 curve)	1	2+ 3- 5+ 13+ 29-	2+ 3- 5+  0 -2 13+  0  4
Curve Equation t Generators 56550u1 [1,0,1,190299,76492048] 1 [176:10656:1]
56550v (6 curves)	1	2+ 3- 5+ 13+ 29-	2+ 3- 5+  0 -4 13+ -2 -4
Curve Equation t Generators 56550v1 [1,0,1,5524,-98902] 2 [4134:54182:27] 56550v2 [1,0,1,-26476,-866902] 4 [-68:821:1] 56550v3 [1,0,1,-200476,33933098] 2 [396:3886:1] 56550v4 [1,0,1,-364476,-84690902] 4 [-347:347:1] 56550v5 [1,0,1,-305976,-112770902] 2 [2578:126122:1] 56550v6 [1,0,1,-5830976,-5419994902] 2 [3162:86506:1]
56550w (6 curves)	1	2+ 3- 5+ 13+ 29-	2+ 3- 5+  0 -4 13+  6  4
Curve Equation t Generators 56550w1 [1,0,1,-258376,50517398] 2 [522:7351:1] 56550w2 [1,0,1,-290376,37205398] 4 [-268:9921:1] 56550w3 [1,0,1,879624,261845398] 2 [1618:76142:1] 56550w4 [1,0,1,-1972376,-1039274602] 4 [-883:4191:1] 56550w5 [1,0,1,478124,-3450566602] 2 [1507:25571:1] 56550w6 [1,0,1,-31334876,-67515974602] 2 [-3232:1842:1]
56550x (1 curve)	1	2+ 3- 5+ 13+ 29-	2+ 3- 5+  3  2 13+  1  5
Curve Equation t Generators 56550x1 [1,0,1,-20751,1372648] 1 [68:-561:1]
56550y (1 curve)	0	2+ 3- 5+ 13- 29-	2+ 3- 5+ -1 -4 13- -3 -1
Curve Equation t 56550y1 [1,0,1,-4076,99548] 1
56550z (1 curve)	1	2+ 3- 5- 13+ 29+	2+ 3- 5-  0  2 13+ -4  0
Curve Equation t Generators 56550z1 [1,0,1,-92069076,-340039046702] 1 [597618849442:121438119564366:13651919]
56550ba (1 curve)	0	2+ 3- 5- 13- 29+	2+ 3- 5- -1  2 13-  7 -7
Curve Equation t 56550ba1 [1,0,1,-11304701,-14630022952] 1
56550bb (2 curves)	0	2+ 3- 5- 13- 29+	2+ 3- 5-  2 -3 13-  6  2
Curve Equation t 56550bb1 [1,0,1,-351,5248] 3 56550bb2 [1,0,1,3024,-112202] 1
56550bc (2 curves)	1	2+ 3- 5- 13- 29-	2+ 3- 5-  2  0 13- -2 -2
Curve Equation t Generators 56550bc1 [1,0,1,-421,2588] 2 [-2:59:1] 56550bc2 [1,0,1,929,16088] 2 [22:-229:1]
56550bd (1 curve)	0	2- 3+ 5+ 13+ 29+	2- 3+ 5+  1  2 13+ -7 -7
Curve Equation t 56550bd1 [1,1,1,-452188,-117221059] 1
56550be (2 curves)	0	2- 3+ 5+ 13+ 29+	2- 3+ 5+ -2 -3 13+ -6  2
Curve Equation t 56550be1 [1,1,1,-8763,656031] 1 56550be2 [1,1,1,75612,-14025219] 1
56550bf (1 curve)	0	2- 3+ 5+ 13+ 29+	2- 3+ 5+ -2  5 13+  5  2
Curve Equation t 56550bf1 [1,1,1,-1243563,533788281] 1
56550bg (4 curves)	0	2- 3+ 5+ 13+ 29+	2- 3+ 5+  4  0 13+  0 -4
Curve Equation t 56550bg1 [1,1,1,-104270713,409775119031] 2 56550bg2 [1,1,1,-104256213,409894802031] 2 56550bg3 [1,1,1,-106011088,395385903281] 2 56550bg4 [1,1,1,89100912,1686246895281] 2
56550bh (2 curves)	0	2- 3+ 5+ 13+ 29+	2- 3+ 5+  4  3 13+  3  2
Curve Equation t 56550bh1 [1,1,1,2112,25281] 1 56550bh2 [1,1,1,-22263,-1671219] 1
56550bi (4 curves)	1	2- 3+ 5+ 13+ 29-	2- 3+ 5+ -4 -4 13+ -2  4
Curve Equation t Generators 56550bi1 [1,1,1,-50038,-195469] 2 [-31:1167:1] 56550bi2 [1,1,1,-562038,-161987469] 4 [-435:867:1] 56550bi3 [1,1,1,-330038,-296547469] 2 [1885:75107:1] 56550bi4 [1,1,1,-8986038,-10371875469] 2 [-1731:867:1]
56550bj (1 curve)	1	2- 3+ 5+ 13- 29+	2- 3+ 5+  0  2 13-  4  0
Curve Equation t Generators 56550bj1 [1,1,1,-3682763,-2721785479] 1 [5331:-362090:1]
56550bk (2 curves)	1	2- 3+ 5+ 13- 29+	2- 3+ 5+  0 -4 13-  4  0
Curve Equation t Generators 56550bk1 [1,1,1,-20813,974531] 2 [171:-1652:1] 56550bk2 [1,1,1,37187,5498531] 2 [71:-2952:1]
56550bl (4 curves)	0	2- 3+ 5+ 13- 29-	2- 3+ 5+  0  0 13-  2  0
Curve Equation t 56550bl1 [1,1,1,-96588,8882781] 4 56550bl2 [1,1,1,-517088,-135769219] 4 56550bl3 [1,1,1,389162,-559894219] 2 56550bl4 [1,1,1,-8151338,-8960962219] 2
56550bm (1 curve)	0	2- 3+ 5+ 13- 29-	2- 3+ 5+  0  3 13-  5 -6
Curve Equation t 56550bm1 [1,1,1,-13,281] 1
56550bn (2 curves)	0	2- 3+ 5+ 13- 29-	2- 3+ 5+  0 -4 13- -2 -6
Curve Equation t 56550bn1 [1,1,1,-28101638,-59404137469] 2 56550bn2 [1,1,1,-454085638,-3724570473469] 2
56550bo (1 curve)	0	2- 3+ 5+ 13- 29-	2- 3+ 5+  3  2 13- -5  3
Curve Equation t 56550bo1 [1,1,1,637,281] 1
56550bp (1 curve)	0	2- 3+ 5- 13+ 29-	2- 3+ 5-  1 -4 13+  3 -1
Curve Equation t 56550bp1 [1,1,1,-163,731] 1
56550bq (2 curves)	0	2- 3+ 5- 13+ 29-	2- 3+ 5- -2  0 13+  2 -2
Curve Equation t 56550bq1 [1,1,1,-10513,323531] 2 56550bq2 [1,1,1,23237,2011031] 2
56550br (1 curve)	0	2- 3+ 5- 13- 29+	2- 3+ 5-  3 -2 13- -3 -5
Curve Equation t 56550br1 [1,1,1,-7013,-156469] 1
56550bs (1 curve)	1	2- 3+ 5- 13- 29-	2- 3+ 5-  0 -2 13-  0  4
Curve Equation t Generators 56550bs1 [1,1,1,7612,614981] 1 [261:4393:1]
56550bt (1 curve)	1	2- 3- 5+ 13+ 29+	2- 3- 5+ -1  2 13+ -5  1
Curve Equation t Generators 56550bt1 [1,0,0,-4338,-963708] 1 [116:254:1]
56550bu (2 curves)	1	2- 3- 5+ 13+ 29+	2- 3- 5+  2 -2 13+  6 -2
Curve Equation t Generators 56550bu1 [1,0,0,-12463,533417] 2 [-88:1019:1] 56550bu2 [1,0,0,-7963,924917] 2 [-82:1055:1]
56550bv (4 curves)	0	2- 3- 5+ 13+ 29-	2- 3- 5+  4 -4 13+  6 -4
Curve Equation t 56550bv1 [1,0,0,-44313,3586617] 2 56550bv2 [1,0,0,-46313,3244617] 4 56550bv3 [1,0,0,84187,18252117] 2 56550bv4 [1,0,0,-208813,-33642883] 2
56550bw (1 curve)	0	2- 3- 5+ 13+ 29-	2- 3- 5+ -4 -1 13+  7 -2
Curve Equation t 56550bw1 [1,0,0,145812,-162597258] 1
56550bx (1 curve)	0	2- 3- 5+ 13- 29+	2- 3- 5+  0 -4 13-  3  2
Curve Equation t 56550bx1 [1,0,0,7,-33] 1
56550by (1 curve)	0	2- 3- 5+ 13- 29+	2- 3- 5+  2 -3 13-  7 -2
Curve Equation t 56550by1 [1,0,0,-1963,-54583] 1
56550bz (2 curves)	0	2- 3- 5+ 13- 29+	2- 3- 5+ -2 -3 13- -7  0
Curve Equation t 56550bz1 [1,0,0,197,69617] 5 56550bz2 [1,0,0,-112513,-15731233] 1
56550ca (2 curves)	0	2- 3- 5+ 13- 29+	2- 3- 5+  4  4 13-  2  6
Curve Equation t 56550ca1 [1,0,0,-1688,28992] 2 56550ca2 [1,0,0,-27688,1770992] 2
56550cb (1 curve)	0	2- 3- 5- 13+ 29+	2- 3- 5- -2 -1 13+  1  0
Curve Equation t 56550cb1 [1,0,0,-975621388,-11776475786608] 1
56550cc (1 curve)	0	2- 3- 5- 13+ 29+	2- 3- 5- -2 -1 13+ -2 -6
Curve Equation t 56550cc1 [1,0,0,-10388,-1258608] 1
56550cd (1 curve)	1	2- 3- 5- 13+ 29-	2- 3- 5-  1 -6 13+  7 -7
Curve Equation t Generators 56550cd1 [1,0,0,-813,-7983] 1 [-18:39:1]
56550ce (2 curves)	1	2- 3- 5- 13- 29+	2- 3- 5-  0  6 13- -2 -8
Curve Equation t Generators 56550ce1 [1,0,0,-86918,9854052] 2 [156:-390:1] 56550ce2 [1,0,0,-96518,7540452] 2 [9084:93478:27]
56550cf (2 curves)	1	2- 3- 5- 13- 29+	2- 3- 5-  0 -6 13-  4 -2
Curve Equation t Generators 56550cf1 [1,0,0,-448984763,-256284367983] 2 [-7442:1638625:1] 56550cf2 [1,0,0,-4754904763,125722017072017] 2 [34202:-1778851:1]
56550cg (1 curve)	1	2- 3- 5- 13- 29+	2- 3- 5- -1  4 13- -3  1
Curve Equation t Generators 56550cg1 [1,0,0,-828438,-286585308] 1 [-492:1650:1]
56550ch (1 curve)	0	2- 3- 5- 13- 29-	2- 3- 5- -2 -5 13-  3  0
Curve Equation t 56550ch1 [1,0,0,-40244763,-98271367983] 1
56550ci (2 curves)	0	2- 3- 5- 13- 29-	2- 3- 5-  4  2 13-  0  2
Curve Equation t 56550ci1 [1,0,0,-533513,-142245483] 2 56550ci2 [1,0,0,-1584763,590475767] 2
56550cj (2 curves)	0	2- 3- 5- 13- 29-	2- 3- 5-  4  6 13- -2  0
Curve Equation t 56550cj1 [1,0,0,-16763,-703983] 2 56550cj2 [1,0,0,-76763,7516017] 2

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