Cremona's table of elliptic curves

10890 = 2 · 3² · 5 · 11²

Class	r	Atkin-Lehner	Eigenvalues
10890a (2 curves)	1	2+ 3+ 5+ 11+	2+ 3+ 5+ -2 11+ -2  2 -4
Curve Equation t Generators 10890a1 [1,-1,0,-7035,-111259] 2 [-47:361:1] 10890a2 [1,-1,0,-54555,4840325] 2 [223:1819:1]
10890b (2 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+ -1 11-  5 -3 -7
Curve Equation t 10890b1 [1,-1,0,-22710,1322910] 3 10890b2 [1,-1,0,-42675,-1311139] 1
10890c (4 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+ -2 11-  4 -6  4
Curve Equation t 10890c1 [1,-1,0,-930,-12204] 2 10890c2 [1,-1,0,-15450,-735300] 2 10890c3 [1,-1,0,6330,51200] 2 10890c4 [1,-1,0,-26340,436706] 2
10890d (1 curve)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  3 11- -3  1  5
Curve Equation t 10890d1 [1,-1,0,-921135,337188781] 1
10890e (4 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  4 11-  4  6 -2
Curve Equation t 10890e1 [1,-1,0,-189690,6783156] 2 10890e2 [1,-1,0,739590,53061300] 2 10890e3 [1,-1,0,-11689530,15385987700] 2 10890e4 [1,-1,0,-11558850,15746690636] 2
10890f (2 curves)	0	2+ 3+ 5- 11+	2+ 3+ 5-  2 11+  2  2  4
Curve Equation t 10890f1 [1,-1,0,-94584,-5547712] 2 10890f2 [1,-1,0,-733464,238121120] 2
10890g (2 curves)	1	2+ 3+ 5- 11-	2+ 3+ 5-  0 11-  0 -2 -2
Curve Equation t Generators 10890g1 [1,-1,0,-16539,766673] 2 [47:279:1] 10890g2 [1,-1,0,16131,3399875] 2 [-41:1654:1]
10890h (2 curves)	1	2+ 3+ 5- 11-	2+ 3+ 5-  1 11- -5 -3  7
Curve Equation t Generators 10890h1 [1,-1,0,-39,-27] 1 [-3:9:1] 10890h2 [1,-1,0,-1689,27143] 1 [19:31:1]
10890i (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5- -3 11-  3  1 -5
Curve Equation t Generators 10890i1 [1,-1,0,-68514,6852500] 1 [139:-56:1]
10890j (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  2 11+  0 -2  2
Curve Equation t 10890j1 [1,-1,0,-1500120,707293296] 2 10890j2 [1,-1,0,-1260540,940596300] 2
10890k (1 curve)	0	2+ 3- 5+ 11+	2+ 3- 5+ -3 11+  0  3 -3
Curve Equation t 10890k1 [1,-1,0,-1755,-30299] 1
10890l (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+  1 11- -1 -5 -1
Curve Equation t Generators 10890l1 [1,-1,0,-270,-1490] 1 [-7:8:1]
10890m (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  1 11-  4  0  4
Curve Equation t Generators 10890m1 [1,-1,0,-661590,210643956] 1 [1420:45474:1] 10890m2 [1,-1,0,2632635,983469141] 1 [1163495331430:81769458517197:1284365503]
10890n (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+  3 11-  3  1 -1
Curve Equation t Generators 10890n1 [1,-1,0,-422010,-97916450] 1 [-3386:19117:8]
10890o (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+ -3 11-  0 -8  8
Curve Equation t Generators 10890o1 [1,-1,0,-2745,179581] 1 [-30:499:1]
10890p (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+ -3 11- -5  7 -7
Curve Equation t Generators 10890p1 [1,-1,0,-1276875,-496612539] 1 [-813:2310:1]
10890q (4 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  4 11-  2 -2  8
Curve Equation t Generators 10890q1 [1,-1,0,-24525,-1240475] 2 [-70:395:1] 10890q2 [1,-1,0,-111645,13204021] 4 [102:1643:1] 10890q3 [1,-1,0,-1745145,887779921] 2 [432:14425:1] 10890q4 [1,-1,0,127935,62030425] 2 [-217:5009:1]
10890r (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+ -5 11- -5 -3  1
Curve Equation t Generators 10890r1 [1,-1,0,-7695,-54675] 1 [-27:378:1] 10890r2 [1,-1,0,-475470,-126073260] 1 [-3186:1647:8]
10890s (2 curves)	1	2+ 3- 5- 11+	2+ 3- 5-  0 11+  6 -6  0
Curve Equation t Generators 10890s1 [1,-1,0,-1854,46228] 2 [12:154:1] 10890s2 [1,-1,0,-33534,2371540] 2 [36:1082:1]
10890t (2 curves)	1	2+ 3- 5- 11+	2+ 3- 5- -2 11+ -4  6  2
Curve Equation t Generators 10890t1 [1,-1,0,-104319,-12628467] 2 [-173:554:1] 10890t2 [1,-1,0,22401,-41444595] 2 [366:3777:1]
10890u (1 curve)	1	2+ 3- 5- 11+	2+ 3- 5-  5 11+ -4 -1 -5
Curve Equation t Generators 10890u1 [1,-1,0,5241,-137197] 1 [16942:771495:8]
10890v (4 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  0 11- -2 -2 -8
Curve Equation t 10890v1 [1,-1,0,-1517544,-719166992] 2 10890v2 [1,-1,0,-1539324,-697443620] 4 10890v3 [1,-1,0,-4534074,2842949830] 2 10890v4 [1,-1,0,1106946,-2847802622] 2
10890w (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  1 11-  1 -3  1
Curve Equation t 10890w1 [1,-1,0,-134514,17734140] 1 10890w2 [1,-1,0,-2111049,-1176488307] 1
10890x (1 curve)	0	2+ 3- 5- 11-	2+ 3- 5-  1 11- -7  1  7
Curve Equation t 10890x1 [1,-1,0,-853254,-302972972] 1
10890y (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5- -1 11-  5  3  5
Curve Equation t 10890y1 [1,-1,0,-5584959,-5077234035] 1 10890y2 [1,-1,0,-15647319,17400065733] 3
10890z (1 curve)	0	2+ 3- 5- 11-	2+ 3- 5-  3 11-  1  7 -5
Curve Equation t 10890z1 [1,-1,0,-369,-995] 1
10890ba (8 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  4 11- -2  6  4
Curve Equation t 10890ba1 [1,-1,0,1611,76005] 2 10890ba2 [1,-1,0,-20169,1003833] 4 10890ba3 [1,-1,0,-14724,-2246832] 2 10890ba4 [1,-1,0,-74619,-6738957] 2 10890ba5 [1,-1,0,-314199,67866255] 2 10890ba6 [1,-1,0,-363204,-84000240] 4 10890ba7 [1,-1,0,-5808204,-5386341240] 2 10890ba8 [1,-1,0,-493884,-18059112] 2
10890bb (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5- -5 11- -2  3  7
Curve Equation t 10890bb1 [1,-1,0,-96399,11654253] 1 10890bb2 [1,-1,0,322866,60205140] 1
10890bc (2 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+  2 11+  2 -2  4
Curve Equation t 10890bc1 [1,-1,1,-851258,150639481] 2 10890bc2 [1,-1,1,-6601178,-6422669063] 2
10890bd (2 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+  0 11-  0  2 -2
Curve Equation t Generators 10890bd1 [1,-1,1,-1838,-27783] 2 [-27:53:1] 10890bd2 [1,-1,1,1792,-126519] 2 [510:3691:8]
10890be (2 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+  1 11- -5  3  7
Curve Equation t Generators 10890be1 [1,-1,1,-188,-943] 1 [-492:223:64] 10890be2 [1,-1,1,-353,1081] 1 [1:26:1]
10890bf (1 curve)	1	2- 3+ 5+ 11-	2- 3+ 5+ -3 11-  3 -1 -5
Curve Equation t Generators 10890bf1 [1,-1,1,-7613,-251259] 1 [-49:72:1]
10890bg (2 curves)	1	2- 3+ 5- 11+	2- 3+ 5- -2 11+ -2 -2 -4
Curve Equation t Generators 10890bg1 [1,-1,1,-782,4381] 2 [-19:119:1] 10890bg2 [1,-1,1,-6062,-177251] 2 [-43:71:1]
10890bh (2 curves)	0	2- 3+ 5- 11-	2- 3+ 5- -1 11-  5  3 -7
Curve Equation t 10890bh1 [1,-1,1,-4742,50141] 3 10890bh2 [1,-1,1,-204392,-35514179] 1
10890bi (4 curves)	0	2- 3+ 5- 11-	2- 3+ 5- -2 11-  4  6  4
Curve Equation t 10890bi1 [1,-1,1,703,-2131] 2 10890bi2 [1,-1,1,-2927,-15199] 2 10890bi3 [1,-1,1,-8372,337879] 2 10890bi4 [1,-1,1,-139052,19992151] 2
10890bj (1 curve)	0	2- 3+ 5- 11-	2- 3+ 5-  3 11- -3 -1  5
Curve Equation t 10890bj1 [1,-1,1,-8290217,-9095806871] 1
10890bk (4 curves)	0	2- 3+ 5- 11-	2- 3+ 5-  4 11-  4 -6 -2
Curve Equation t 10890bk1 [1,-1,1,-1298837,-569418451] 2 10890bk2 [1,-1,1,-1284317,-582782659] 2 10890bk3 [1,-1,1,-1707212,-181438001] 2 10890bk4 [1,-1,1,6656308,-1439311409] 2
10890bl (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+ -2 11+  0  2 -2
Curve Equation t Generators 10890bl1 [1,-1,1,-12398,-528019] 2 [-65:37:1] 10890bl2 [1,-1,1,-10418,-703843] 2 [133:433:1]
10890bm (1 curve)	1	2- 3- 5+ 11+	2- 3- 5+  3 11+  0 -3  3
Curve Equation t Generators 10890bm1 [1,-1,1,-212378,40965081] 1 [333:2495:1]
10890bn (6 curves)	0	2- 3- 5+ 11-	2- 3- 5+  0 11-  2  2  4
Curve Equation t 10890bn1 [1,-1,1,5422,594641] 2 10890bn2 [1,-1,1,-81698,8330897] 4 10890bn3 [1,-1,1,-277718,-46711519] 4 10890bn4 [1,-1,1,-1279598,557448257] 2 10890bn5 [1,-1,1,-4230788,-3348315583] 2 10890bn6 [1,-1,1,539032,-270174319] 2
10890bo (6 curves)	0	2- 3- 5+ 11-	2- 3- 5+  0 11- -6  2  4
Curve Equation t 10890bo1 [1,-1,1,277672,5282907] 2 10890bo2 [1,-1,1,-1116248,43197531] 4 10890bo3 [1,-1,1,-11657768,-15254656293] 4 10890bo4 [1,-1,1,-12877448,17750860251] 2 10890bo5 [1,-1,1,-186311588,-978784850469] 2 10890bo6 [1,-1,1,-5668268,-30913605093] 2
10890bp (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+ -1 11-  1  5  1
Curve Equation t 10890bp1 [1,-1,1,-32693,2081247] 1
10890bq (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+ -1 11- -4  0 -4
Curve Equation t 10890bq1 [1,-1,1,-5468,-156769] 1 10890bq2 [1,-1,1,21757,-744829] 3
10890br (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+  3 11-  0  8 -8
Curve Equation t 10890br1 [1,-1,1,-23,-129] 1
10890bs (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+  3 11-  5 -7  7
Curve Equation t 10890bs1 [1,-1,1,-154501898,661454795081] 1
10890bt (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+ -3 11- -3 -1  1
Curve Equation t 10890bt1 [1,-1,1,-3488,74517] 1
10890bu (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+ -3 11-  6 -7 -5
Curve Equation t 10890bu1 [1,-1,1,10867,-1762923] 1 10890bu2 [1,-1,1,-6468683,-6330834903] 1
10890bv (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+  5 11-  5  3 -1
Curve Equation t 10890bv1 [1,-1,1,-931118,75565757] 1 10890bv2 [1,-1,1,-57531893,167976104717] 3
10890bw (2 curves)	0	2- 3- 5- 11+	2- 3- 5-  0 11+ -6  6  0
Curve Equation t 10890bw1 [1,-1,1,-224357,-60856419] 2 10890bw2 [1,-1,1,-4057637,-3144346851] 2
10890bx (2 curves)	0	2- 3- 5- 11+	2- 3- 5-  2 11+  4 -6 -2
Curve Equation t 10890bx1 [1,-1,1,-12622622,16846357421] 2 10890bx2 [1,-1,1,2710498,55154624429] 2
10890by (1 curve)	0	2- 3- 5- 11+	2- 3- 5- -5 11+  4  1  5
Curve Equation t 10890by1 [1,-1,1,43,91] 1
10890bz (2 curves)	1	2- 3- 5- 11-	2- 3- 5-  1 11- -2 -3  1
Curve Equation t Generators 10890bz1 [1,-1,1,-1112,39251] 1 [-41:141:1] 10890bz2 [1,-1,1,9778,-927781] 1 [662:4989:8]
10890ca (2 curves)	1	2- 3- 5- 11-	2- 3- 5-  1 11- -5 -3 -5
Curve Equation t Generators 10890ca1 [1,-1,1,-46157,3827189] 1 [117:76:1] 10890ca2 [1,-1,1,-129317,-13037659] 1 [-279:1264:1]
10890cb (2 curves)	1	2- 3- 5- 11-	2- 3- 5- -1 11- -1  3 -1
Curve Equation t Generators 10890cb1 [1,-1,1,-1112,-13021] 1 [-21:37:1] 10890cb2 [1,-1,1,-17447,888671] 3 [-129:1054:1]
10890cc (1 curve)	1	2- 3- 5- 11-	2- 3- 5- -1 11-  7 -1 -7
Curve Equation t Generators 10890cc1 [1,-1,1,-7052,229551] 1 [41:69:1]
10890cd (1 curve)	1	2- 3- 5- 11-	2- 3- 5- -3 11- -1 -7  5
Curve Equation t Generators 10890cd1 [1,-1,1,-44672,1458339] 1 [-151:2253:1]
10890ce (4 curves)	1	2- 3- 5- 11-	2- 3- 5- -4 11- -2  2 -4
Curve Equation t Generators 10890ce1 [1,-1,1,-43849697,105605967921] 4 [-6729:313124:1] 10890ce2 [1,-1,1,-133060577,-460740382671] 4 [-8313:270356:1] 10890ce3 [1,-1,1,-1996034657,-34321412071119] 2 [-25809:60404:1] 10890ce4 [1,-1,1,302539423,-2847305662671] 2 [11487:1458356:1]

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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