Cremona's table of elliptic curves

88550 = 2 · 5² · 7 · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
88550a (2 curves)	1	2+ 5+ 7+ 11+ 23+	2+  2 5+ 7+ 11+  0  8  4
Curve Equation t Generators 88550a1 [1,1,0,87120250,-489128363500] 2 [673413415573677828321174343848168970657020:31543019708953892531725172469800873666057090:137765802406187691456694063271164338993] 88550a2 [1,1,0,-657711750,-5224025387500] 2 [-540492265392910329696954900:-10538968217226795597395272550:27619295370170716163853]
88550b (2 curves)	1	2+ 5+ 7+ 11+ 23+	2+ -2 5+ 7+ 11+ -4  0  0
Curve Equation t Generators 88550b1 [1,0,1,-775776,-263166802] 2 [4196:263161:1] 88550b2 [1,0,1,-12413776,-16835678802] 2 [6997:485251:1]
88550c (1 curve)	0	2+ 5+ 7+ 11+ 23-	2+ -1 5+ 7+ 11+ -1 -2 -1
Curve Equation t 88550c1 [1,1,0,-63675,-6003875] 1
88550d (2 curves)	0	2+ 5+ 7+ 11+ 23-	2+ -1 5+ 7+ 11+ -2  0 -1
Curve Equation t 88550d1 [1,1,0,-53020,4679120] 1 88550d2 [1,1,0,42180,19011760] 1
88550e (2 curves)	0	2+ 5+ 7+ 11+ 23-	2+ -1 5+ 7+ 11+  4  6 -4
Curve Equation t 88550e1 [1,1,0,550,-500] 1 88550e2 [1,1,0,-8200,-303250] 1
88550f (2 curves)	0	2+ 5+ 7+ 11+ 23-	2+  2 5+ 7+ 11+  2  4  8
Curve Equation t 88550f1 [1,1,0,-325,16125] 2 88550f2 [1,1,0,-11825,487625] 2
88550g (4 curves)	0	2+ 5+ 7+ 11+ 23-	2+  2 5+ 7+ 11+ -2  0 -4
Curve Equation t 88550g1 [1,1,0,-763450,281188500] 2 88550g2 [1,1,0,-12539450,17085540500] 2 88550g3 [1,1,0,4836550,-484667500] 2 88550g4 [1,1,0,-19497450,-3915761500] 2
88550h (2 curves)	0	2+ 5+ 7+ 11+ 23-	2+ -2 5+ 7+ 11+  4  4  4
Curve Equation t 88550h1 [1,0,1,-189501,-34311352] 2 88550h2 [1,0,1,-3099001,-2100056352] 2
88550i (2 curves)	0	2+ 5+ 7+ 11- 23+	2+  1 5+ 7+ 11-  1  2 -5
Curve Equation t 88550i1 [1,0,1,-6467126,5893384648] 1 88550i2 [1,0,1,-787558626,-8506981937352] 1
88550j (1 curve)	0	2+ 5+ 7+ 11- 23+	2+  1 5+ 7+ 11-  4 -4  4
Curve Equation t 88550j1 [1,0,1,774,-125652] 1
88550k (2 curves)	1	2+ 5+ 7+ 11- 23-	2+ -1 5+ 7+ 11- -5  0  5
Curve Equation t Generators 88550k1 [1,1,0,-6100,-46000] 1 [-56:380:1] 88550k2 [1,1,0,-380100,-90356000] 1 [-356:180:1]
88550l (4 curves)	1	2+ 5+ 7+ 11- 23-	2+  2 5+ 7+ 11- -2 -6  2
Curve Equation t Generators 88550l1 [1,1,0,-2040775,1121443125] 2 [825:0:1] 88550l2 [1,1,0,-32653775,71806860125] 2 [89067:-44528:27] 88550l3 [1,1,0,560725,3723487625] 2 [1045:73315:1] 88550l4 [1,1,0,-32898525,70675446875] 2 [101217:-234889:27]
88550m (2 curves)	1	2+ 5+ 7+ 11- 23-	2+  2 5+ 7+ 11-  6 -2 -2
Curve Equation t Generators 88550m1 [1,1,0,151375,-21896875] 2 [63819265:2328136930:50653] 88550m2 [1,1,0,-860625,-207092875] 2 [30751538848275:822430962952006:21369234375]
88550n (4 curves)	0	2+ 5+ 7- 11+ 23+	2+  0 5+ 7- 11+  2 -6 -4
Curve Equation t 88550n1 [1,-1,0,205183,9537341] 2 88550n2 [1,-1,0,-852817,78307341] 4 88550n3 [1,-1,0,-8040317,-8712005159] 2 88550n4 [1,-1,0,-10593317,13257203841] 2
88550o (4 curves)	0	2+ 5+ 7- 11+ 23+	2+  0 5+ 7- 11+  6  6  8
Curve Equation t 88550o1 [1,-1,0,-8268842,13265601316] 2 88550o2 [1,-1,0,-148189342,694258674816] 4 88550o3 [1,-1,0,-164191592,535116298566] 2 88550o4 [1,-1,0,-2370915092,44435278709066] 2
88550p (1 curve)	0	2+ 5+ 7- 11+ 23+	2+  1 5+ 7- 11+ -4  4  4
Curve Equation t 88550p1 [1,0,1,34499,7169398] 1
88550q (1 curve)	0	2+ 5+ 7- 11+ 23+	2+  3 5+ 7- 11+  0  0 -4
Curve Equation t 88550q1 [1,-1,0,-1342,19316] 1
88550r (1 curve)	1	2+ 5+ 7- 11+ 23-	2+  1 5+ 7- 11+ -3  2  1
Curve Equation t Generators 88550r1 [1,0,1,-22151,-1258802] 1 [-89:142:1]
88550s (2 curves)	1	2+ 5+ 7- 11+ 23-	2+ -2 5+ 7- 11+  2  2 -4
Curve Equation t Generators 88550s1 [1,0,1,-1206376,509353398] 2 [372:10401:1] 88550s2 [1,0,1,-886376,785833398] 2 [738:22734:1]
88550t (4 curves)	0	2+ 5+ 7- 11- 23-	2+  0 5+ 7- 11- -2 -6  4
Curve Equation t 88550t1 [1,-1,0,32083,-2775259] 2 88550t2 [1,-1,0,-209917,-27701259] 4 88550t3 [1,-1,0,-1172417,466061241] 2 88550t4 [1,-1,0,-3119417,-2119631759] 2
88550u (1 curve)	0	2+ 5+ 7- 11- 23-	2+  1 5+ 7- 11- -6 -4 -1
Curve Equation t 88550u1 [1,0,1,24742799,16871324548] 1
88550v (2 curves)	0	2+ 5+ 7- 11- 23-	2+ -2 5+ 7- 11- -6  2 -4
Curve Equation t 88550v1 [1,0,1,-1175626,-487319352] 2 88550v2 [1,0,1,-394376,-1124819352] 2
88550w (1 curve)	0	2+ 5- 7+ 11+ 23+	2+ -1 5- 7+ 11+ -2  4 -1
Curve Equation t 88550w1 [1,1,0,-7038950,-7203288500] 1
88550x (2 curves)	0	2+ 5- 7+ 11+ 23+	2+  2 5- 7+ 11+ -2 -4  4
Curve Equation t 88550x1 [1,1,0,-26950,1396500] 2 88550x2 [1,1,0,53050,8196500] 2
88550y (1 curve)	1	2+ 5- 7- 11+ 23+	2+ -1 5- 7- 11+ -2  3  8
Curve Equation t Generators 88550y1 [1,1,0,-2200,104000] 1 [-16:376:1]
88550z (1 curve)	1	2+ 5- 7- 11+ 23+	2+  2 5- 7- 11+ -4 -1  0
Curve Equation t Generators 88550z1 [1,1,0,349300,-248356000] 1 [460:2920:1]
88550ba (2 curves)	0	2+ 5- 7- 11+ 23-	2+  1 5- 7- 11+  2 -3 -4
Curve Equation t 88550ba1 [1,0,1,229849,-38850902] 3 88550ba2 [1,0,1,-5787526,-5405053352] 1
88550bb (2 curves)	0	2+ 5- 7- 11+ 23-	2+  1 5- 7- 11+ -4 -6  5
Curve Equation t 88550bb1 [1,0,1,1424,79798] 3 88550bb2 [1,0,1,-12951,-2277702] 1
88550bc (2 curves)	0	2+ 5- 7- 11- 23+	2+  1 5- 7- 11-  2  0 -1
Curve Equation t 88550bc1 [1,0,1,-151,1048] 3 88550bc2 [1,0,1,1224,-16002] 1
88550bd (1 curve)	1	2+ 5- 7- 11- 23-	2+ -2 5- 7- 11-  4 -3 -4
Curve Equation t Generators 88550bd1 [1,0,1,249,-14902] 1 [23:44:1]
88550be (2 curves)	0	2- 5+ 7+ 11+ 23+	2-  0 5+ 7+ 11+  0  0 -2
Curve Equation t 88550be1 [1,-1,1,-2959780,-1978756153] 2 88550be2 [1,-1,1,-47487780,-125944708153] 2
88550bf (2 curves)	0	2- 5+ 7+ 11+ 23+	2- -1 5+ 7+ 11+ -2  3 -4
Curve Equation t 88550bf1 [1,1,1,5746237,-4856362719] 1 88550bf2 [1,1,1,-144688138,-675631668969] 1
88550bg (2 curves)	0	2- 5+ 7+ 11+ 23+	2- -1 5+ 7+ 11+  4  0 -4
Curve Equation t 88550bg1 [1,1,1,-1050588,414045781] 1 88550bg2 [1,1,1,-305963,986320281] 1
88550bh (2 curves)	0	2- 5+ 7+ 11+ 23+	2- -1 5+ 7+ 11+  4  6  5
Curve Equation t 88550bh1 [1,1,1,57,661] 1 88550bh2 [1,1,1,-518,-18429] 1
88550bi (1 curve)	1	2- 5+ 7+ 11+ 23-	2-  1 5+ 7+ 11+  2 -3  8
Curve Equation t Generators 88550bi1 [1,0,0,-88,832] 1 [6:-26:1]
88550bj (2 curves)	1	2- 5+ 7+ 11+ 23-	2-  2 5+ 7+ 11+  6  6 -6
Curve Equation t Generators 88550bj1 [1,1,1,-4038,112031] 2 [-402:3695:8] 88550bj2 [1,1,1,-67288,6690031] 2 [99546:1806073:216]
88550bk (1 curve)	1	2- 5+ 7+ 11+ 23-	2- -2 5+ 7+ 11+  4  1  0
Curve Equation t Generators 88550bk1 [1,0,0,13972,-1986848] 1 [218:3272:1]
88550bl (2 curves)	1	2- 5+ 7+ 11- 23+	2- -1 5+ 7+ 11-  1 -6 -1
Curve Equation t Generators 88550bl1 [1,1,1,-7788,-234719] 1 [-59:183:1] 88550bl2 [1,1,1,-608663,-183027219] 1 [-3092231:1544422:6859]
88550bm (1 curve)	1	2- 5+ 7+ 11- 23+	2-  2 5+ 7+ 11- -4  3 -4
Curve Equation t Generators 88550bm1 [1,1,1,6237,-1862719] 1 [1179:39982:1]
88550bn (2 curves)	1	2- 5+ 7+ 11- 23+	2- -2 5+ 7+ 11- -2  2  4
Curve Equation t Generators 88550bn1 [1,0,0,-411838,-82059708] 2 [1372:-44686:1] 88550bn2 [1,0,0,868162,-490379708] 2 [5172:-379886:1]
88550bo (2 curves)	0	2- 5+ 7+ 11- 23-	2-  0 5+ 7+ 11-  0  2  4
Curve Equation t 88550bo1 [1,-1,1,320,788947] 2 88550bo2 [1,-1,1,-126180,16980947] 2
88550bp (1 curve)	0	2- 5+ 7+ 11- 23-	2-  1 5+ 7+ 11-  3 -4 -3
Curve Equation t 88550bp1 [1,0,0,-1238,15092] 1
88550bq (2 curves)	0	2- 5+ 7+ 11- 23-	2- -1 5+ 7+ 11- -2  0 -1
Curve Equation t 88550bq1 [1,1,1,-3763,131031] 1 88550bq2 [1,1,1,30612,-2000219] 1
88550br (2 curves)	0	2- 5+ 7+ 11- 23-	2- -2 5+ 7+ 11-  0  2 -6
Curve Equation t 88550br1 [1,0,0,-149513,-78257483] 2 88550br2 [1,0,0,-3809763,-2856387233] 2
88550bs (1 curve)	0	2- 5+ 7+ 11- 23-	2-  3 5+ 7+ 11-  0  2  4
Curve Equation t 88550bs1 [1,-1,1,-12555,-5886053] 1
88550bt (2 curves)	1	2- 5+ 7- 11+ 23+	2-  2 5+ 7- 11+ -2  6 -4
Curve Equation t Generators 88550bt1 [1,1,1,-8063,-186719] 2 [-361890:1821979:5832] 88550bt2 [1,1,1,23187,-1249219] 2 [73160043390:1036972187371:686128968]
88550bu (1 curve)	0	2- 5+ 7- 11+ 23-	2-  1 5+ 7- 11+  2 -4 -1
Curve Equation t 88550bu1 [1,0,0,-281558,-57626308] 1
88550bv (1 curve)	0	2- 5+ 7- 11- 23+	2-  1 5+ 7- 11-  3 -2  1
Curve Equation t 88550bv1 [1,0,0,-322438,-70468508] 1
88550bw (1 curve)	0	2- 5+ 7- 11- 23+	2-  3 5+ 7- 11-  4  0  4
Curve Equation t 88550bw1 [1,-1,1,-44280,11204347] 1
88550bx (1 curve)	0	2- 5- 7+ 11- 23+	2- -1 5- 7+ 11-  6  4 -1
Curve Equation t 88550bx1 [1,1,1,989712,135366481] 1
88550by (2 curves)	0	2- 5- 7- 11+ 23+	2-  1 5- 7- 11+  2  0 -1
Curve Equation t 88550by1 [1,0,0,-1325513,587541017] 3 88550by2 [1,0,0,1054487,2374361017] 1
88550bz (2 curves)	1	2- 5- 7- 11+ 23-	2- -2 5- 7- 11+  2  4  4
Curve Equation t Generators 88550bz1 [1,0,0,-1078,11172] 2 [-28:154:1] 88550bz2 [1,0,0,2122,65572] 2 [16:-330:1]

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