Cremona's table of elliptic curves

89010 = 2 · 3² · 5 · 23 · 43

Class	r	Atkin-Lehner	Eigenvalues
89010a (2 curves)	1	2+ 3+ 5+ 23+ 43+	2+ 3+ 5+  2 -6 -6  0  4
Curve Equation t Generators 89010a1 [1,-1,0,-13245,587825] 2 [20:565:1] 89010a2 [1,-1,0,-19995,-69625] 2 [-7:268:1]
89010b (2 curves)	0	2+ 3+ 5+ 23- 43+	2+ 3+ 5+  2  2  2  0 -4
Curve Equation t 89010b1 [1,-1,0,-19995,726821] 2 89010b2 [1,-1,0,-127995,-17049979] 2
89010c (1 curve)	0	2+ 3+ 5+ 23- 43+	2+ 3+ 5+ -2 -3  4  6 -1
Curve Equation t 89010c1 [1,-1,0,-12705,-1612675] 1
89010d (1 curve)	0	2+ 3+ 5- 23+ 43+	2+ 3+ 5-  0 -4 -1  0  8
Curve Equation t 89010d1 [1,-1,0,-54,-142] 1
89010e (1 curve)	0	2+ 3+ 5- 23+ 43+	2+ 3+ 5-  2  3  4  6  3
Curve Equation t 89010e1 [1,-1,0,-69,-207] 1
89010f (2 curves)	1	2+ 3+ 5- 23- 43+	2+ 3+ 5-  2  2  0 -6 -4
Curve Equation t Generators 89010f1 [1,-1,0,7177746,1531243988] 2 [-376763153:29500945603:2048383] 89010f2 [1,-1,0,-29386734,12405520340] 2 [10497199800553965:-5360308540671320855:40318322589]
89010g (2 curves)	0	2+ 3+ 5- 23- 43-	2+ 3+ 5-  2  2  4 -2  4
Curve Equation t 89010g1 [1,-1,0,-22344,-54942400] 2 89010g2 [1,-1,0,-2307624,-1333328032] 2
89010h (2 curves)	0	2+ 3+ 5- 23- 43-	2+ 3+ 5- -4  0  5  0 -4
Curve Equation t 89010h1 [1,-1,0,-14844,-848592] 3 89010h2 [1,-1,0,-1275819,-554347387] 1
89010i (1 curve)	0	2+ 3- 5+ 23+ 43+	2+ 3- 5+  1  6  1  2 -5
Curve Equation t 89010i1 [1,-1,0,-1419525,-651063339] 1
89010j (2 curves)	2	2+ 3- 5+ 23+ 43+	2+ 3- 5+  2 -2  0 -6 -4
Curve Equation t Generators 89010j1 [1,-1,0,-1575,-13379] 2 [-10:41:1]&[-9:7:1] 89010j2 [1,-1,0,-11295,455125] 2 [-115:530:1]&[-186:6809:8]
89010k (1 curve)	0	2+ 3- 5+ 23+ 43+	2+ 3- 5+ -2  2  4 -2  3
Curve Equation t 89010k1 [1,-1,0,-12780,2926800] 1
89010l (1 curve)	1	2+ 3- 5+ 23+ 43-	2+ 3- 5+  4 -2  1  4  0
Curve Equation t Generators 89010l1 [1,-1,0,1530,-16254] 1 [21:147:1]
89010m (1 curve)	1	2+ 3- 5+ 23- 43+	2+ 3- 5+  0  6  3 -4  4
Curve Equation t Generators 89010m1 [1,-1,0,-5273325,4663612125] 1 [-2643:12864:1]
89010n (1 curve)	1	2+ 3- 5+ 23- 43+	2+ 3- 5+  1 -2 -3  2  7
Curve Equation t Generators 89010n1 [1,-1,0,-12330,705676] 1 [41:497:1]
89010o (1 curve)	1	2+ 3- 5+ 23- 43+	2+ 3- 5+ -2 -1  1  4  0
Curve Equation t Generators 89010o1 [1,-1,0,-1098270,735887700] 1 [-10635:903755:27]
89010p (2 curves)	1	2+ 3- 5+ 23- 43+	2+ 3- 5+ -2  2 -4  2 -4
Curve Equation t Generators 89010p1 [1,-1,0,-945,-10935] 2 [-17:9:1] 89010p2 [1,-1,0,-1215,-3969] 2 [-17:116:1]
89010q (2 curves)	1	2+ 3- 5+ 23- 43+	2+ 3- 5+  4 -4  4 -2  0
Curve Equation t Generators 89010q1 [1,-1,0,-306945,-65375235] 2 [858:16959:1] 89010q2 [1,-1,0,-291465,-72276219] 2 [4863:334461:1]
89010r (1 curve)	1	2+ 3- 5- 23+ 43+	2+ 3- 5-  0  2  2  0  5
Curve Equation t Generators 89010r1 [1,-1,0,966,-460] 1 [1:22:1]
89010s (1 curve)	1	2+ 3- 5- 23+ 43+	2+ 3- 5-  2  3  1  0 -6
Curve Equation t Generators 89010s1 [1,-1,0,711,14445] 1 [-14:47:1]
89010t (4 curves)	0	2+ 3- 5- 23+ 43-	2+ 3- 5-  0  0  6  2 -4
Curve Equation t 89010t1 [1,-1,0,-1359,14445] 2 89010t2 [1,-1,0,-7839,-253827] 4 89010t3 [1,-1,0,4581,-991575] 4 89010t4 [1,-1,0,-123939,-16763247] 2
89010u (4 curves)	0	2+ 3- 5- 23+ 43-	2+ 3- 5-  2 -6 -4  6 -4
Curve Equation t 89010u1 [1,-1,0,-531954,146615508] 2 89010u2 [1,-1,0,-1154034,-260598060] 2 89010u3 [1,-1,0,-42859314,108008771220] 6 89010u4 [1,-1,0,-42860394,108003056508] 6
89010v (1 curve)	0	2+ 3- 5- 23+ 43-	2+ 3- 5- -2  5 -7  0  4
Curve Equation t 89010v1 [1,-1,0,-1104,-29440] 1
89010w (1 curve)	1	2+ 3- 5- 23- 43-	2+ 3- 5- -1  0 -3 -4  5
Curve Equation t Generators 89010w1 [1,-1,0,2451,2449925] 1 [559:13072:1]
89010x (1 curve)	1	2+ 3- 5- 23- 43-	2+ 3- 5-  2  2  0  2  1
Curve Equation t Generators 89010x1 [1,-1,0,-6264,-572702] 1 [587:13769:1]
89010y (2 curves)	1	2+ 3- 5- 23- 43-	2+ 3- 5-  2  2  0  2  4
Curve Equation t Generators 89010y1 [1,-1,0,-19359,-866867] 2 [57595:1142962:125] 89010y2 [1,-1,0,-295839,-61858355] 2 [1841:74117:1]
89010z (2 curves)	1	2+ 3- 5- 23- 43-	2+ 3- 5- -2 -2 -4 -6 -4
Curve Equation t Generators 89010z1 [1,-1,0,-579654,170008960] 2 [446:-448:1] 89010z2 [1,-1,0,-582084,168513538] 2 [-73:14549:1]
89010ba (2 curves)	0	2- 3+ 5+ 23+ 43+	2- 3+ 5+  2 -2  0  6 -4
Curve Equation t 89010ba1 [1,-1,1,797527,-56978583] 2 89010ba2 [1,-1,1,-3265193,-458375319] 2
89010bb (2 curves)	1	2- 3+ 5+ 23+ 43-	2- 3+ 5+  2 -2  4  2  4
Curve Equation t Generators 89010bb1 [1,-1,1,-2483,2035731] 2 [83:1506:1] 89010bb2 [1,-1,1,-256403,49467987] 2 [3171:122026:27]
89010bc (2 curves)	1	2- 3+ 5+ 23+ 43-	2- 3+ 5+ -4  0  5  0 -4
Curve Equation t Generators 89010bc1 [1,-1,1,-141758,20578637] 3 [105:2563:1] 89010bc2 [1,-1,1,-133598,23045581] 1 [253:2195:1]
89010bd (1 curve)	1	2- 3+ 5+ 23- 43+	2- 3+ 5+  0  4 -1  0  8
Curve Equation t Generators 89010bd1 [1,-1,1,-488,4321] 1 [254:1003:8]
89010be (1 curve)	1	2- 3+ 5+ 23- 43+	2- 3+ 5+  2 -3  4 -6  3
Curve Equation t Generators 89010be1 [1,-1,1,-623,6211] 1 [-17:116:1]
89010bf (2 curves)	1	2- 3+ 5- 23+ 43+	2- 3+ 5-  2 -2  2  0 -4
Curve Equation t Generators 89010bf1 [1,-1,1,-2222,-26179] 2 [-29:129:1] 89010bf2 [1,-1,1,-14222,636221] 2 [111:-701:1]
89010bg (1 curve)	1	2- 3+ 5- 23+ 43+	2- 3+ 5- -2  3  4 -6 -1
Curve Equation t Generators 89010bg1 [1,-1,1,-1412,60199] 1 [37:221:1]
89010bh (2 curves)	0	2- 3+ 5- 23- 43+	2- 3+ 5-  2  6 -6  0  4
Curve Equation t 89010bh1 [1,-1,1,-1472,-21281] 2 89010bh2 [1,-1,1,-2222,3319] 2
89010bi (1 curve)	1	2- 3- 5+ 23+ 43+	2- 3- 5+ -4  1  3  6 -4
Curve Equation t Generators 89010bi1 [1,-1,1,382,-7743] 1 [33:-217:1]
89010bj (1 curve)	1	2- 3- 5+ 23+ 43+	2- 3- 5+ -4 -5 -6  0  5
Curve Equation t Generators 89010bj1 [1,-1,1,-333068,74094351] 1 [533:-7179:1]
89010bk (1 curve)	0	2- 3- 5+ 23+ 43-	2- 3- 5+  0 -6 -6  4 -1
Curve Equation t 89010bk1 [1,-1,1,-34291073,77297934331] 1
89010bl (1 curve)	0	2- 3- 5+ 23+ 43-	2- 3- 5+  4  2  5  0 -4
Curve Equation t 89010bl1 [1,-1,1,84172,-33080169] 1
89010bm (4 curves)	0	2- 3- 5+ 23+ 43-	2- 3- 5+  4 -4  2  2  4
Curve Equation t 89010bm1 [1,-1,1,-31928,-1737813] 2 89010bm2 [1,-1,1,-163148,23876331] 4 89010bm3 [1,-1,1,140602,102365331] 2 89010bm4 [1,-1,1,-2566418,1583117907] 2
89010bn (2 curves)	0	2- 3- 5+ 23- 43+	2- 3- 5+  0  0  4  6 -4
Curve Equation t 89010bn1 [1,-1,1,-4208,-72813] 2 89010bn2 [1,-1,1,11272,-493869] 2
89010bo (1 curve)	0	2- 3- 5+ 23- 43+	2- 3- 5+  0 -6  7  0  8
Curve Equation t 89010bo1 [1,-1,1,-6338273,-6140522703] 1
89010bp (1 curve)	0	2- 3- 5+ 23- 43+	2- 3- 5+  4 -2 -6 -4  1
Curve Equation t 89010bp1 [1,-1,1,6849562,6693425781] 1
89010bq (2 curves)	0	2- 3- 5+ 23- 43+	2- 3- 5+  4  4  0  8  4
Curve Equation t 89010bq1 [1,-1,1,-31163,-7944213] 2 89010bq2 [1,-1,1,-818483,-284136069] 2
89010br (1 curve)	0	2- 3- 5- 23+ 43+	2- 3- 5- -1 -2 -7 -6  5
Curve Equation t 89010br1 [1,-1,1,553,-16099] 1
89010bs (1 curve)	0	2- 3- 5- 23+ 43+	2- 3- 5-  4  3 -2  4 -5
Curve Equation t 89010bs1 [1,-1,1,-215881232,-1220822374669] 1
89010bt (1 curve)	1	2- 3- 5- 23+ 43-	2- 3- 5-  0 -1 -1  6 -6
Curve Equation t Generators 89010bt1 [1,-1,1,-111092,-151716009] 1 [621:3989:1]
89010bu (2 curves)	1	2- 3- 5- 23+ 43-	2- 3- 5-  0  2  2  0 -6
Curve Equation t Generators 89010bu1 [1,-1,1,-113657,14767881] 2 [-259:5304:1] 89010bu2 [1,-1,1,-91157,20770881] 2 [-249:5414:1]
89010bv (1 curve)	1	2- 3- 5- 23+ 43-	2- 3- 5-  2 -6 -4 -6  1
Curve Equation t Generators 89010bv1 [1,-1,1,-1382,20189] 1 [27:31:1]
89010bw (1 curve)	1	2- 3- 5- 23+ 43-	2- 3- 5-  4 -1 -1  2 -2
Curve Equation t Generators 89010bw1 [1,-1,1,-9887,381399] 1 [57:-54:1]
89010bx (4 curves)	1	2- 3- 5- 23+ 43-	2- 3- 5- -4  0  2 -6  4
Curve Equation t Generators 89010bx1 [1,-1,1,1964533,-760858981] 4 [459:15178:1] 89010bx2 [1,-1,1,-9831947,-6748752229] 4 [-2069:69834:1] 89010bx3 [1,-1,1,-70772747,224411890331] 2 [5709:77254:1] 89010bx4 [1,-1,1,-137634827,-621276120421] 2 [-6713:14106:1]
89010by (2 curves)	1	2- 3- 5- 23- 43+	2- 3- 5- -2  6  4  6 -4
Curve Equation t Generators 89010by1 [1,-1,1,-19205897,26967386121] 2 [3911:106044:1] 89010by2 [1,-1,1,-89984777,-303456737271] 2 [13487:960756:1]
89010bz (1 curve)	1	2- 3- 5- 23- 43+	2- 3- 5- -3  4 -5  0  1
Curve Equation t Generators 89010bz1 [1,-1,1,2065828,-1178949729] 1 [4661:-333531:1]
89010ca (1 curve)	1	2- 3- 5- 23- 43+	2- 3- 5-  4 -3 -2  0 -7
Curve Equation t Generators 89010ca1 [1,-1,1,193,-22809] 1 [29:66:1]
89010cb (4 curves)	1	2- 3- 5- 23- 43+	2- 3- 5- -4  0 -2  6  4
Curve Equation t Generators 89010cb1 [1,-1,1,-322952,70699979] 4 [337:61:1] 89010cb2 [1,-1,1,-369032,49245131] 4 [-579:8569:1] 89010cb3 [1,-1,1,1178968,353891531] 2 [-149:13299:1] 89010cb4 [1,-1,1,-2654312,-1629064501] 2 [-993:5671:1]
89010cc (1 curve)	1	2- 3- 5- 23- 43+	2- 3- 5- -4 -6 -6  0  1
Curve Equation t Generators 89010cc1 [1,-1,1,-4976282,4278449881] 1 [5521:378119:1]

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