Cremona's table of elliptic curves

52200 = 2³ · 3² · 5² · 29

Class	r	Atkin-Lehner	Eigenvalues
52200a (1 curve)	1	2+ 3+ 5+ 29+	2+ 3+ 5+  2  3  0 -6  6
Curve Equation t Generators 52200a1 [0,0,0,24300,-3793500] 1 [130:1250:1]
52200b (1 curve)	1	2+ 3+ 5+ 29+	2+ 3+ 5+  3 -3  5  3 -2
Curve Equation t Generators 52200b1 [0,0,0,-75,3375] 1 [15:75:1]
52200c (2 curves)	1	2+ 3+ 5+ 29+	2+ 3+ 5+  4  0 -2  6  0
Curve Equation t Generators 52200c1 [0,0,0,4725,-74250] 2 [524760:5526325:13824] 52200c2 [0,0,0,-22275,-641250] 2 [6150:66700:27]
52200d (1 curve)	2	2+ 3+ 5+ 29-	2+ 3+ 5+  1 -3 -1 -7 -6
Curve Equation t Generators 52200d1 [0,0,0,-375,2875] 1 [-10:75:1]&[-1:57:1]
52200e (1 curve)	2	2+ 3+ 5+ 29-	2+ 3+ 5+ -2 -3 -4  2 -6
Curve Equation t Generators 52200e1 [0,0,0,-389700,96998500] 1 [3570:-210250:1]&[-406:13722:1]
52200f (4 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+  0  0  2 -2  0
Curve Equation t 52200f1 [0,0,0,-21450,-1180375] 2 52200f2 [0,0,0,-49575,2560250] 4 52200f3 [0,0,0,152925,18152750] 2 52200f4 [0,0,0,-702075,226367750] 2
52200g (4 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+  0  0  2 -6 -8
Curve Equation t 52200g1 [0,0,0,-54450,-4890375] 2 52200g2 [0,0,0,-55575,-4677750] 4 52200g3 [0,0,0,56925,-21215250] 2 52200g4 [0,0,0,-186075,25467750] 2
52200h (1 curve)	0	2+ 3- 5+ 29+	2+ 3- 5+ -1  3 -3  1 -8
Curve Equation t 52200h1 [0,0,0,-908175,-333215125] 1
52200i (2 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+  2  2 -4 -6  8
Curve Equation t 52200i1 [0,0,0,-273675,-55098250] 2 52200i2 [0,0,0,-300675,-43569250] 2
52200j (1 curve)	0	2+ 3- 5+ 29+	2+ 3- 5+  2 -3  6  4 -2
Curve Equation t 52200j1 [0,0,0,-48132300,132198864500] 1
52200k (1 curve)	0	2+ 3- 5+ 29+	2+ 3- 5+ -2  5 -2  4 -6
Curve Equation t 52200k1 [0,0,0,-1436700,-1075263500] 1
52200l (4 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+  4 -4 -2 -2  0
Curve Equation t 52200l1 [0,0,0,-13575,-539750] 2 52200l2 [0,0,0,-54075,4279750] 4 52200l3 [0,0,0,80925,22234750] 2 52200l4 [0,0,0,-837075,294772750] 2
52200m (4 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+ -4 -4  2  6 -4
Curve Equation t 52200m1 [0,0,0,-147450,-11800375] 2 52200m2 [0,0,0,-1093575,431932250] 4 52200m3 [0,0,0,80925,1311632750] 2 52200m4 [0,0,0,-17406075,27951119750] 2
52200n (1 curve)	0	2+ 3- 5+ 29+	2+ 3- 5+  5  5 -1 -3 -4
Curve Equation t 52200n1 [0,0,0,2625,-17125] 1
52200o (2 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+  0 -4  2  0  4
Curve Equation t Generators 52200o1 [0,0,0,-2550,-46375] 2 [65:250:1] 52200o2 [0,0,0,-8175,229250] 2 [115:900:1]
52200p (1 curve)	1	2+ 3- 5+ 29-	2+ 3- 5+  1  3 -1 -1  0
Curve Equation t Generators 52200p1 [0,0,0,-19875,-1078625] 1 [170:675:1]
52200q (1 curve)	1	2+ 3- 5+ 29-	2+ 3- 5+ -1  2 -4  7  7
Curve Equation t Generators 52200q1 [0,0,0,1725,62750] 1 [-26:18:1]
52200r (1 curve)	1	2+ 3- 5+ 29-	2+ 3- 5+  2 -1  2 -8 -2
Curve Equation t Generators 52200r1 [0,0,0,-104700,-14951500] 1 [1570:60750:1]
52200s (2 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+  2  2  2 -2 -2
Curve Equation t Generators 52200s1 [0,0,0,-269175,53734250] 2 [290:250:1] 52200s2 [0,0,0,-228675,70460750] 2 [1910:81250:1]
52200t (2 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+  2 -6 -6 -2 -2
Curve Equation t Generators 52200t1 [0,0,0,-9143175,-10641271750] 2 [12835:1409400:1] 52200t2 [0,0,0,-9102675,-10740213250] 2 [346530:38055250:27]
52200u (1 curve)	1	2+ 3- 5+ 29-	2+ 3- 5+ -2  3  5 -4  0
Curve Equation t Generators 52200u1 [0,0,0,1725,4750] 1 [957:8972:27]
52200v (2 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+ -2 -6 -4  2  0
Curve Equation t Generators 52200v1 [0,0,0,-288075,58909750] 2 [-265:10800:1] 52200v2 [0,0,0,-531075,-55057250] 2 [-346:9342:1]
52200w (1 curve)	1	2+ 3- 5+ 29-	2+ 3- 5+ -3 -1 -1  3 -2
Curve Equation t Generators 52200w1 [0,0,0,-2748675,1754051375] 1 [955:-225:1]
52200x (1 curve)	1	2+ 3- 5+ 29-	2+ 3- 5+ -3  2 -1  0 -5
Curve Equation t Generators 52200x1 [0,0,0,5482500,5147412500] 1 [-614:39366:1]
52200y (2 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+  4  0  2 -4  0
Curve Equation t Generators 52200y1 [0,0,0,-11550,192625] 2 [-110:4725:8] 52200y2 [0,0,0,-152175,22833250] 2 [635:13500:1]
52200z (1 curve)	1	2+ 3- 5- 29+	2+ 3- 5-  0 -5  4 -3  1
Curve Equation t Generators 52200z1 [0,0,0,-1875,-52850] 1 [54:58:1]
52200ba (2 curves)	1	2+ 3- 5- 29+	2+ 3- 5-  2  0  0  6 -4
Curve Equation t Generators 52200ba1 [0,0,0,-12375,506250] 2 [-50:1000:1] 52200ba2 [0,0,0,-34875,-1856250] 2 [-86:712:1]
52200bb (2 curves)	1	2+ 3- 5- 29+	2+ 3- 5-  2  4  4  2 -4
Curve Equation t Generators 52200bb1 [0,0,0,-11370,464425] 2 [20:495:1] 52200bb2 [0,0,0,-17895,-129350] 2 [-9:176:1]
52200bc (2 curves)	1	2+ 3- 5- 29+	2+ 3- 5- -2  0 -4  2 -8
Curve Equation t Generators 52200bc1 [0,0,0,-570,-1375] 2 [-20:45:1] 52200bc2 [0,0,0,-7095,-229750] 2 [-49:16:1]
52200bd (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5-  0 -2  4 -6  6
Curve Equation t 52200bd1 [0,0,0,-96375,11506250] 2 52200bd2 [0,0,0,-73875,17018750] 2
52200be (1 curve)	2	2+ 3- 5- 29-	2+ 3- 5- -2 -1 -4 -4 -4
Curve Equation t Generators 52200be1 [0,0,0,60,6500] 1 [10:-90:1]&[-14:54:1]
52200bf (2 curves)	2	2+ 3- 5- 29-	2+ 3- 5- -2 -4 -4 -4 -4
Curve Equation t Generators 52200bf1 [0,0,0,-315750,68290625] 2 [200:3625:1]&[244:2403:1] 52200bf2 [0,0,0,-321375,65731250] 2 [-389:11484:1]&[191:3364:1]
52200bg (1 curve)	0	2+ 3- 5- 29-	2+ 3- 5- -2  6  6  6  6
Curve Equation t 52200bg1 [0,0,0,-1063875,-422361250] 1
52200bh (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5-  4  2 -4  2  2
Curve Equation t 52200bh1 [0,0,0,-7926375,-8589343750] 2 52200bh2 [0,0,0,-7903875,-8640531250] 2
52200bi (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5-  4 -2 -2  2  4
Curve Equation t 52200bi1 [0,0,0,-795,-4250] 2 52200bi2 [0,0,0,-6195,184750] 2
52200bj (1 curve)	0	2+ 3- 5- 29-	2+ 3- 5- -4 -2  4 -6  0
Curve Equation t 52200bj1 [0,0,0,-2575875,-2355860450] 1
52200bk (1 curve)	0	2- 3+ 5+ 29+	2- 3+ 5+  1  3 -1  7 -6
Curve Equation t 52200bk1 [0,0,0,-3375,-77625] 1
52200bl (1 curve)	0	2- 3+ 5+ 29+	2- 3+ 5+ -2  3 -4 -2 -6
Curve Equation t 52200bl1 [0,0,0,-3507300,-2618959500] 1
52200bm (1 curve)	1	2- 3+ 5+ 29-	2- 3+ 5+  2 -3  0  6  6
Curve Equation t Generators 52200bm1 [0,0,0,2700,140500] 1 [20:450:1]
52200bn (1 curve)	1	2- 3+ 5+ 29-	2- 3+ 5+  3  3  5 -3 -2
Curve Equation t Generators 52200bn1 [0,0,0,-675,-91125] 1 [81:621:1]
52200bo (2 curves)	1	2- 3+ 5+ 29-	2- 3+ 5+  4  0 -2 -6  0
Curve Equation t Generators 52200bo1 [0,0,0,525,2750] 2 [379:7392:1] 52200bo2 [0,0,0,-2475,23750] 2 [-50:150:1]
52200bp (6 curves)	1	2- 3- 5+ 29+	2- 3- 5+  0  4  2 -6  4
Curve Equation t Generators 52200bp1 [0,0,0,-39639450,-96059327875] 2 [18036857317630510:47822905488112065675:2565726409] 52200bp2 [0,0,0,-39640575,-96053602750] 4 [28119685:149113054350:1] 52200bp3 [0,0,0,-36378075,-112519440250] 2 [1502676268068742361083:-4699256068900417275108:208292692275801433] 52200bp4 [0,0,0,-42921075,-79221357250] 4 [2282832993771787:-12105405864520869888:81182737] 52200bp5 [0,0,0,108953925,-514039482250] 2 [235062852723292398642882678621298:-1246491294915810268189816212818449152:8359370368389380870676973] 52200bp6 [0,0,0,-247284075,1432860479750] 2 [15729979520:-15519510225:2097152]
52200bq (1 curve)	1	2- 3- 5+ 29+	2- 3- 5+  0 -5 -4  3  1
Curve Equation t Generators 52200bq1 [0,0,0,-46875,-6606250] 1 [12116769886:215979070988:26730899]
52200br (1 curve)	1	2- 3- 5+ 29+	2- 3- 5+  1  1  3  1  2
Curve Equation t Generators 52200br1 [0,0,0,5325,23875] 1 [5:225:1]
52200bs (2 curves)	1	2- 3- 5+ 29+	2- 3- 5+ -2 -2  0 -2 -4
Curve Equation t Generators 52200bs1 [0,0,0,-156675,18400750] 2 [35:3600:1] 52200bs2 [0,0,0,-2343675,1380901750] 2 [1470:33350:1]
52200bt (1 curve)	1	2- 3- 5+ 29+	2- 3- 5+  3 -5  5 -3 -8
Curve Equation t Generators 52200bt1 [0,0,0,-75,90875] 1 [-35:225:1]
52200bu (1 curve)	1	2- 3- 5+ 29+	2- 3- 5+ -3  5 -1 -7  2
Curve Equation t Generators 52200bu1 [0,0,0,12525,4712875] 1 [305:6075:1]
52200bv (2 curves)	0	2- 3- 5+ 29-	2- 3- 5+  0  0  4 -2  6
Curve Equation t 52200bv1 [0,0,0,-9075,274750] 2 52200bv2 [0,0,0,17925,1597750] 2
52200bw (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+  1  3  7  3 -6
Curve Equation t 52200bw1 [0,0,0,-975,-21625] 1
52200bx (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+  2  6 -6 -6  6
Curve Equation t 52200bx1 [0,0,0,-42555,-3378890] 1
52200by (2 curves)	2	2- 3- 5+ 29-	2- 3- 5+  2 -6 -6 -6  6
Curve Equation t Generators 52200by1 [0,0,0,-6578175,-6468830750] 2 [-1555:450:1]&[-1485:5000:1] 52200by2 [0,0,0,-3297675,-12921574250] 2 [2819:13572:1]&[8030:691650:1]
52200bz (2 curves)	2	2- 3- 5+ 29-	2- 3- 5+ -2 -2  2 -6 -6
Curve Equation t Generators 52200bz1 [0,0,0,-8175,-40750] 2 [-35:450:1]&[-85:200:1] 52200bz2 [0,0,0,32325,-324250] 2 [155:-2900:1]&[91:1836:1]
52200ca (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+ -2 -3  1  0  0
Curve Equation t 52200ca1 [0,0,0,-18075,935750] 1
52200cb (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+  3  2 -4  5  5
Curve Equation t 52200cb1 [0,0,0,-1332075,-592024250] 1
52200cc (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+  3 -3  1 -5  0
Curve Equation t 52200cc1 [0,0,0,409425,137350375] 1
52200cd (1 curve)	2	2- 3- 5+ 29-	2- 3- 5+ -3 -1 -1 -1 -4
Curve Equation t Generators 52200cd1 [0,0,0,-8175,334375] 1 [-75:725:1]&[41:-261:1]
52200ce (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+  4 -2 -4  6  0
Curve Equation t 52200ce1 [0,0,0,-64396875,-294482556250] 1
52200cf (2 curves)	2	2- 3- 5+ 29-	2- 3- 5+ -4  0 -6  0  0
Curve Equation t Generators 52200cf1 [0,0,0,-2550,26125] 2 [-30:275:1]&[-10:225:1] 52200cf2 [0,0,0,-35175,2538250] 2 [-115:2250:1]&[-15:1750:1]
52200cg (2 curves)	0	2- 3- 5- 29+	2- 3- 5-  2  0  4 -2 -8
Curve Equation t 52200cg1 [0,0,0,-14250,-171875] 2 52200cg2 [0,0,0,-177375,-28718750] 2
52200ch (2 curves)	2	2- 3- 5- 29+	2- 3- 5- -2  0  0 -6 -4
Curve Equation t Generators 52200ch1 [0,0,0,-495,4050] 2 [-21:72:1]&[-15:90:1] 52200ch2 [0,0,0,-1395,-14850] 2 [-26:62:1]&[-21:72:1]
52200ci (2 curves)	0	2- 3- 5- 29+	2- 3- 5- -2  4 -4 -2 -4
Curve Equation t 52200ci1 [0,0,0,-284250,58053125] 2 52200ci2 [0,0,0,-447375,-16168750] 2
52200cj (2 curves)	1	2- 3- 5- 29-	2- 3- 5-  0 -2 -4  6  6
Curve Equation t Generators 52200cj1 [0,0,0,-3855,92050] 2 [41:-54:1] 52200cj2 [0,0,0,-2955,136150] 2 [11:-324:1]
52200ck (1 curve)	1	2- 3- 5- 29-	2- 3- 5-  2 -1  4  4 -4
Curve Equation t Generators 52200ck1 [0,0,0,1500,812500] 1 [500:11250:1]
52200cl (2 curves)	1	2- 3- 5- 29-	2- 3- 5-  2 -4  4  4 -4
Curve Equation t Generators 52200cl1 [0,0,0,-12630,546325] 2 [69:58:1] 52200cl2 [0,0,0,-12855,525850] 2 [15:580:1]
52200cm (1 curve)	1	2- 3- 5- 29-	2- 3- 5-  3  2  1  0 -5
Curve Equation t Generators 52200cm1 [0,0,0,219300,41179300] 1 [4904:345042:1]
52200cn (2 curves)	1	2- 3- 5- 29-	2- 3- 5- -4  2  4 -2  2
Curve Equation t Generators 52200cn1 [0,0,0,-317055,-68714750] 2 [689:6318:1] 52200cn2 [0,0,0,-316155,-69124250] 2 [1513343:13883076:2197]
52200co (2 curves)	1	2- 3- 5- 29-	2- 3- 5- -4 -2  2 -2  4
Curve Equation t Generators 52200co1 [0,0,0,-19875,-531250] 2 [-29:144:1] 52200co2 [0,0,0,-154875,23093750] 2 [14750:1790750:1]

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