Cremona's table of elliptic curves

69300 = 2² · 3² · 5² · 7 · 11

Class	r	Atkin-Lehner	Eigenvalues
69300a (4 curves)	0	2- 3+ 5+ 7+ 11+	2- 3+ 5+ 7+ 11+ -2 -6 -4
Curve Equation t 69300a1 [0,0,0,-25800,-128875] 2 69300a2 [0,0,0,102825,-1029250] 2 69300a3 [0,0,0,-1495800,-704136375] 2 69300a4 [0,0,0,-1472175,-727454250] 2
69300b (2 curves)	0	2- 3+ 5+ 7+ 11+	2- 3+ 5+ 7+ 11+  4 -2 -6
Curve Equation t 69300b1 [0,0,0,-191700,32302125] 2 69300b2 [0,0,0,-208575,26277750] 2
69300c (2 curves)	0	2- 3+ 5+ 7+ 11+	2- 3+ 5+ 7+ 11+ -5  6 -1
Curve Equation t 69300c1 [0,0,0,-1725,28625] 1 69300c2 [0,0,0,8775,77625] 1
69300d (2 curves)	0	2- 3+ 5+ 7+ 11+	2- 3+ 5+ 7+ 11+ -6  2  8
Curve Equation t 69300d1 [0,0,0,-10800,-394875] 2 69300d2 [0,0,0,12825,-1883250] 2
69300e (4 curves)	1	2- 3+ 5+ 7+ 11-	2- 3+ 5+ 7+ 11- -2  6 -4
Curve Equation t Generators 69300e1 [0,0,0,-166200,26079125] 2 [1810:1925:8] 69300e2 [0,0,0,-163575,26942750] 2 [190:1650:1] 69300e3 [0,0,0,-232200,3479625] 2 [555:6750:1] 69300e4 [0,0,0,925425,27789750] 2 [5910:460350:1]
69300f (2 curves)	1	2- 3+ 5+ 7+ 11-	2- 3+ 5+ 7+ 11-  4  2 -6
Curve Equation t Generators 69300f1 [0,0,0,-21300,-1196375] 2 [-84:11:1] 69300f2 [0,0,0,-23175,-973250] 2 [-105:550:1]
69300g (2 curves)	1	2- 3+ 5+ 7+ 11-	2- 3+ 5+ 7+ 11- -5 -6 -1
Curve Equation t Generators 69300g1 [0,0,0,975,-2875] 1 [4:33:1] 69300g2 [0,0,0,-15525,-772875] 1 [204:2133:1]
69300h (2 curves)	1	2- 3+ 5+ 7+ 11-	2- 3+ 5+ 7+ 11- -6 -2  8
Curve Equation t Generators 69300h1 [0,0,0,-1200,14625] 2 [-20:175:1] 69300h2 [0,0,0,1425,69750] 2 [-5:250:1]
69300i (2 curves)	1	2- 3+ 5+ 7- 11+	2- 3+ 5+ 7- 11+ -2  0  4
Curve Equation t Generators 69300i1 [0,0,0,1800,60625] 2 [-4:231:1] 69300i2 [0,0,0,-16575,703750] 2 [-25:1050:1]
69300j (2 curves)	1	2- 3+ 5+ 7- 11+	2- 3+ 5+ 7- 11+ -6  6  0
Curve Equation t Generators 69300j1 [0,0,0,-859200,306541625] 2 [14340:4375:27] 69300j2 [0,0,0,-856575,308507750] 2 [415:4950:1]
69300k (2 curves)	0	2- 3+ 5+ 7- 11-	2- 3+ 5+ 7- 11- -2  0  4
Curve Equation t 69300k1 [0,0,0,16200,-1636875] 2 69300k2 [0,0,0,-149175,-19001250] 2
69300l (2 curves)	0	2- 3+ 5+ 7- 11-	2- 3+ 5+ 7- 11- -6 -6  0
Curve Equation t 69300l1 [0,0,0,-7732800,-8276623875] 2 69300l2 [0,0,0,-7709175,-8329709250] 2
69300m (1 curve)	1	2- 3+ 5- 7+ 11+	2- 3+ 5- 7+ 11+  0 -1  5
Curve Equation t Generators 69300m1 [0,0,0,1080,72900] 1 [0:270:1]
69300n (2 curves)	1	2- 3+ 5- 7+ 11+	2- 3+ 5- 7+ 11+  2  2 -2
Curve Equation t Generators 69300n1 [0,0,0,-167940,-1585575] 2 [810:19845:1] 69300n2 [0,0,0,-1788615,917337150] 2 [-405:39690:1]
69300o (1 curve)	1	2- 3+ 5- 7+ 11+	2- 3+ 5- 7+ 11+ -4 -5  1
Curve Equation t Generators 69300o1 [0,0,0,-4604973000,-120278722387500] 1 [1180097478899744757364066443685984940452231443719251605346883469255013422826578827411475:31017247744345969377937210308753256844647218960609658610204879777141811896865465553090125:15001411767363837279587908229629903636803228283762823345541196095707097257442137831]
69300p (1 curve)	0	2- 3+ 5- 7+ 11-	2- 3+ 5- 7+ 11-  0  1  5
Curve Equation t 69300p1 [0,0,0,120,-2700] 1
69300q (2 curves)	0	2- 3+ 5- 7+ 11-	2- 3+ 5- 7+ 11-  2 -2 -2
Curve Equation t 69300q1 [0,0,0,-18660,58725] 2 69300q2 [0,0,0,-198735,-33975450] 2
69300r (1 curve)	0	2- 3+ 5- 7+ 11-	2- 3+ 5- 7+ 11- -4  5  1
Curve Equation t 69300r1 [0,0,0,-41444757000,3247525504462500] 1
69300s (1 curve)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+  0  1  5
Curve Equation t 69300s1 [0,0,0,27000,9112500] 1
69300t (2 curves)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+ -2 -2 -2
Curve Equation t 69300t1 [0,0,0,-4198500,-198196875] 2 69300t2 [0,0,0,-44715375,114667143750] 2
69300u (1 curve)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+  4  5  1
Curve Equation t 69300u1 [0,0,0,-184198920,-962229779100] 1
69300v (1 curve)	1	2- 3+ 5- 7- 11-	2- 3+ 5- 7- 11-  0 -1  5
Curve Equation t Generators 69300v1 [0,0,0,3000,-337500] 1 [300:5250:1]
69300w (2 curves)	1	2- 3+ 5- 7- 11-	2- 3+ 5- 7- 11- -2  2 -2
Curve Equation t Generators 69300w1 [0,0,0,-466500,7340625] 2 [-354:11319:1] 69300w2 [0,0,0,-4968375,-4246931250] 2 [-1229:1694:1]
69300x (1 curve)	1	2- 3+ 5- 7- 11-	2- 3+ 5- 7- 11-  4 -5  1
Curve Equation t Generators 69300x1 [0,0,0,-1657790280,25980204035700] 1 [201330:3565485:8]
69300y (1 curve)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+  1  0  5
Curve Equation t Generators 69300y1 [0,0,0,-105825,15078625] 1 [416:6561:1]
69300z (2 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+  2 -2  4
Curve Equation t Generators 69300z1 [0,0,0,61800,-23225375] 2 [380:7425:1] 69300z2 [0,0,0,-940575,-324940250] 2 [1595:47250:1]
69300ba (2 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+ -2 -3 -7
Curve Equation t Generators 69300ba1 [0,0,0,58200,-13529500] 1 [340:-6750:1] 69300ba2 [0,0,0,-535800,414744500] 1 [1730:140625:8]
69300bb (4 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+  4  0 -4
Curve Equation t Generators 69300bb1 [0,0,0,-559200,146041625] 2 [-796:9317:1] 69300bb2 [0,0,0,-2056575,-975492250] 2 [-1021:7742:1] 69300bb3 [0,0,0,-44119200,112794924125] 2 [-31118:3799411:8] 69300bb4 [0,0,0,-44131575,112728482750] 2 [-4633136086:565621450247:1191016]
69300bc (1 curve)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+ -4 -5 -5
Curve Equation t Generators 69300bc1 [0,0,0,1384800,20556866500] 1 [2540:201150:1]
69300bd (2 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+ -5 -3 -1
Curve Equation t Generators 69300bd1 [0,0,0,-11280,-455740] 1 [-56:18:1] 69300bd2 [0,0,0,-90480,10244180] 1 [1202:1629:8]
69300be (2 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+  7 -6 -1
Curve Equation t Generators 69300be1 [0,0,0,-3879525,-2972552875] 1 [248074817767:36954609065217:11089567] 69300be2 [0,0,0,13494975,-15190835875] 1 [1755138384122406748076123448929466748:264990018698310795804960770761851223323:78995467461517982757355055981023]
69300bf (2 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11-  1  0  5
Curve Equation t 69300bf1 [0,0,0,1275,-23875] 1 69300bf2 [0,0,0,-12225,921125] 1
69300bg (1 curve)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11- -1 -7 -1
Curve Equation t 69300bg1 [0,0,0,-36840,-2639180] 1
69300bh (2 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11- -2  2  0
Curve Equation t 69300bh1 [0,0,0,1039200,653583625] 2 69300bh2 [0,0,0,-7982175,7031695750] 2
69300bi (2 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11- -2 -3  2
Curve Equation t 69300bi1 [0,0,0,-69375,-7056250] 1 69300bi2 [0,0,0,155625,-36981250] 1
69300bj (4 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11- -2 -6  8
Curve Equation t 69300bj1 [0,0,0,-598800,-180991375] 2 69300bj2 [0,0,0,-9620175,-11484774250] 2 69300bj3 [0,0,0,2317200,-867344875] 2 69300bj4 [0,0,0,-11159175,-7565103250] 2
69300bk (1 curve)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11- -2 -7  3
Curve Equation t 69300bk1 [0,0,0,-1291800,-565269500] 1
69300bl (1 curve)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11-  3  2 -5
Curve Equation t 69300bl1 [0,0,0,3075,21625] 1
69300bm (2 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11-  4  3 -7
Curve Equation t 69300bm1 [0,0,0,-505200,-285941500] 1 69300bm2 [0,0,0,4354800,6058788500] 1
69300bn (2 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11- -4  2  2
Curve Equation t 69300bn1 [0,0,0,-831965700,35849507484625] 2 69300bn2 [0,0,0,-22189387575,1269091118812750] 2
69300bo (2 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11- -4  8 -4
Curve Equation t 69300bo1 [0,0,0,-19200,-1017875] 2 69300bo2 [0,0,0,-31575,454750] 2
69300bp (1 curve)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11- -6 -5  2
Curve Equation t 69300bp1 [0,0,0,-700335,-228736170] 1
69300bq (2 curves)	2	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+  0 -6 -6
Curve Equation t Generators 69300bq1 [0,0,0,30300,151625] 2 [10:675:1]&[20:875:1] 69300bq2 [0,0,0,-121575,1214750] 2 [-305:3150:1]&[535:-9450:1]
69300br (1 curve)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+  1  6  1
Curve Equation t 69300br1 [0,0,0,3075,-3582875] 1
69300bs (1 curve)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+ -1  4  3
Curve Equation t 69300bs1 [0,0,0,-383925,91564625] 1
69300bt (1 curve)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+ -1 -5 -5
Curve Equation t 69300bt1 [0,0,0,-30000,-1037500] 1
69300bu (1 curve)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+  4 -6 -2
Curve Equation t 69300bu1 [0,0,0,-4800,-141500] 1
69300bv (2 curves)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+  6  2  0
Curve Equation t 69300bv1 [0,0,0,-4800,-401375] 2 69300bv2 [0,0,0,-116175,-15214250] 2
69300bw (1 curve)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+  6 -3  3
Curve Equation t 69300bw1 [0,0,0,-441946200,-3577674521500] 1
69300bx (2 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11-  0 -2 -6
Curve Equation t Generators 69300bx1 [0,0,0,-18522300,42120187625] 2 [1396:-137781:1] 69300bx2 [0,0,0,-326069175,2265991640750] 2 [11359:-166698:1]
69300by (1 curve)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11-  0  3 -1
Curve Equation t Generators 69300by1 [0,0,0,-4800,-155500] 1 [85:225:1]
69300bz (1 curve)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11-  1  3  1
Curve Equation t Generators 69300bz1 [0,0,0,-623880,180104580] 1 [-744:15246:1]
69300ca (1 curve)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11- -1 -4  3
Curve Equation t Generators 69300ca1 [0,0,0,5660475,2589749125] 1 [5801:480249:1]
69300cb (2 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11- -2 -6  4
Curve Equation t Generators 69300cb1 [0,0,0,1800,-30375] 2 [30:225:1] 69300cb2 [0,0,0,-10575,-290250] 2 [-65:350:1]
69300cc (1 curve)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11- -3 -2 -3
Curve Equation t Generators 69300cc1 [0,0,0,-5025,-163375] 1 [169:1953:1]
69300cd (1 curve)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11- -3  3  5
Curve Equation t Generators 69300cd1 [0,0,0,-33195000,73592412500] 1 [3181:13671:1]
69300ce (2 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11- -4  2 -6
Curve Equation t Generators 69300ce1 [0,0,0,12300,-5630375] 2 [290:-4725:1] 69300ce2 [0,0,0,-409575,-97177250] 2 [-345:1750:1]
69300cf (1 curve)	0	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+  1  5 -5
Curve Equation t 69300cf1 [0,0,0,-1200,-8300] 1
69300cg (2 curves)	0	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+  6  6 -2
Curve Equation t 69300cg1 [0,0,0,9060,242125] 2 69300cg2 [0,0,0,-45615,2155750] 2
69300ch (1 curve)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11- -1 -3  1
Curve Equation t Generators 69300ch1 [0,0,0,-15597000,22513072500] 1 [1725:27225:1]
69300ci (1 curve)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11-  3 -3  5
Curve Equation t Generators 69300ci1 [0,0,0,-1327800,588739300] 1 [656:54:1]
69300cj (2 curves)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11- -4  0  0
Curve Equation t Generators 69300cj1 [0,0,0,-8058000,-8803234375] 2 [3875:134750:1] 69300cj2 [0,0,0,-7377375,-10351656250] 2 [43750:9132750:1]
69300ck (2 curves)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11- -6 -2 -6
Curve Equation t Generators 69300ck1 [0,0,0,-5340,160225] 2 [80:-495:1] 69300ck2 [0,0,0,-87015,9879550] 2 [179:-198:1]
69300cl (2 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+  5  3 -1
Curve Equation t Generators 69300cl1 [0,0,0,-282000,-56967500] 1 [-20764:39123:64] 69300cl2 [0,0,0,-2262000,1280522500] 3 [-1600:28350:1]
69300cm (2 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+ -6 -6 -2
Curve Equation t Generators 69300cm1 [0,0,0,226500,30265625] 2 [250:10125:1] 69300cm2 [0,0,0,-1140375,269468750] 2 [-125:20250:1]
69300cn (1 curve)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  1  7 -1
Curve Equation t 69300cn1 [0,0,0,-921000,-329897500] 1
69300co (2 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  2  3  2
Curve Equation t 69300co1 [0,0,0,-2775,-56450] 1 69300co2 [0,0,0,6225,-295850] 3
69300cp (2 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  4  0  0
Curve Equation t 69300cp1 [0,0,0,-322320,-70425875] 2 69300cp2 [0,0,0,-295095,-82813250] 2
69300cq (2 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  6  2 -6
Curve Equation t 69300cq1 [0,0,0,-133500,20028125] 2 69300cq2 [0,0,0,-2175375,1234943750] 2
69300cr (1 curve)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  6  5  2
Curve Equation t 69300cr1 [0,0,0,-17508375,-28592021250] 1

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