Cremona's table of elliptic curves

128205 = 3² · 5 · 7 · 11 · 37

Class	r	Atkin-Lehner	Eigenvalues
128205a (1 curve)	0	3+ 5+ 7+ 11+ 37-	-2 3+ 5+ 7+ 11+  0  7  5
Curve Equation t 128205a1 [0,0,1,-145773,-21422212] 1
128205b (2 curves)	2	3+ 5+ 7+ 11- 37+	-1 3+ 5+ 7+ 11-  2  4 -4
Curve Equation t Generators 128205b1 [1,-1,1,397,3162] 2 [8:-87:1]&[214:1329:8] 128205b2 [1,-1,1,-2378,32022] 2 [-54:54:1]&[-43:252:1]
128205c (2 curves)	1	3+ 5+ 7+ 11- 37-	1 3+ 5+ 7+ 11-  0 -2 -4
Curve Equation t Generators 128205c1 [1,-1,0,-120,531] 2 [6:165:8] 128205c2 [1,-1,0,-15,1350] 2 [-2:38:1]
128205d (1 curve)	0	3+ 5+ 7- 11+ 37+	-2 3+ 5+ 7- 11+  4  5  5
Curve Equation t 128205d1 [0,0,1,7317,-17952] 1
128205e (1 curve)	1	3+ 5+ 7- 11- 37+	-1 3+ 5+ 7- 11- -4 -3  0
Curve Equation t Generators 128205e1 [1,-1,1,457,9856] 1 [-2:95:1]
128205f (1 curve)	1	3+ 5+ 7- 11- 37+	-2 3+ 5+ 7- 11-  0 -3  3
Curve Equation t Generators 128205f1 [0,0,1,3357,2177598] 1 [167:2719:1]
128205g (2 curves)	0	3+ 5- 7+ 11+ 37+	1 3+ 5- 7+ 11+  2 -4 -4
Curve Equation t 128205g1 [1,-1,0,3576,-88957] 2 128205g2 [1,-1,0,-21399,-843202] 2
128205h (2 curves)	1	3+ 5- 7+ 11+ 37-	-1 3+ 5- 7+ 11+  0  2 -4
Curve Equation t Generators 128205h1 [1,-1,1,-1082,-13256] 2 [104:943:1] 128205h2 [1,-1,1,-137,-36314] 2 [44:181:1]
128205i (1 curve)	0	3+ 5- 7+ 11- 37-	2 3+ 5- 7+ 11-  0 -7  5
Curve Equation t 128205i1 [0,0,1,-16197,793415] 1
128205j (1 curve)	1	3+ 5- 7- 11+ 37+	1 3+ 5- 7- 11+ -4  3  0
Curve Equation t Generators 128205j1 [1,-1,0,51,-382] 1 [22:94:1]
128205k (1 curve)	1	3+ 5- 7- 11+ 37+	2 3+ 5- 7- 11+  0  3  3
Curve Equation t Generators 128205k1 [0,0,1,30213,-58795153] 1 [28626:1713281:8]
128205l (1 curve)	0	3+ 5- 7- 11- 37+	2 3+ 5- 7- 11-  4 -5  5
Curve Equation t 128205l1 [0,0,1,65853,484697] 1
128205m (2 curves)	2	3- 5+ 7+ 11+ 37+	-1 3- 5+ 7+ 11+  2 -2 -4
Curve Equation t Generators 128205m1 [1,-1,1,-5693,-13764] 2 [-67:285:1]&[-4:96:1] 128205m2 [1,-1,1,-65588,-6434508] 2 [-144:164:1]&[-142:93:1]
128205n (2 curves)	0	3- 5+ 7+ 11+ 37+	-1 3- 5+ 7+ 11+ -4  4  8
Curve Equation t 128205n1 [1,-1,1,-7483012178,249210574893312] 2 128205n2 [1,-1,1,-119735885273,15947236063438206] 2
128205o (1 curve)	1	3- 5+ 7+ 11- 37+	2 3- 5+ 7+ 11- -4  3  4
Curve Equation t Generators 128205o1 [0,0,1,-9183,-338751] 1 [61768:284459:512]
128205p (6 curves)	0	3- 5+ 7+ 11- 37-	1 3- 5+ 7+ 11-  6 -2 -4
Curve Equation t 128205p1 [1,-1,0,-2728125,-9720708264] 2 128205p2 [1,-1,0,-87065370,-311462503425] 4 128205p3 [1,-1,0,-131975415,44305891056] 4 128205p4 [1,-1,0,-1391551245,-19979717835150] 2 128205p5 [1,-1,0,526210740,353521746675] 2 128205p6 [1,-1,0,-1508722290,22503728361681] 2
128205q (1 curve)	2	3- 5+ 7+ 11- 37-	-2 3- 5+ 7+ 11- -5 -6 -8
Curve Equation t Generators 128205q1 [0,0,1,897,-12852] 1 [14:49:1]&[32:-221:1]
128205r (2 curves)	1	3- 5+ 7- 11+ 37+	1 3- 5+ 7- 11+ -2 -4 -4
Curve Equation t Generators 128205r1 [1,-1,0,-2385,-70200] 2 [76:390:1] 128205r2 [1,-1,0,-44010,-3541725] 2 [-122:83:1]
128205s (2 curves)	1	3- 5+ 7- 11+ 37+	-1 3- 5+ 7- 11+ -2  2 -4
Curve Equation t Generators 128205s1 [1,-1,1,-83318,9277476] 2 [168:-60:1] 128205s2 [1,-1,1,-83813,9162042] 2 [218:993:1]
128205t (2 curves)	1	3- 5+ 7- 11+ 37+	-1 3- 5+ 7- 11+  4  0  4
Curve Equation t Generators 128205t1 [1,-1,1,3397,192962] 2 [-14:384:1] 128205t2 [1,-1,1,-36698,2406206] 2 [-140:2257:1]
128205u (2 curves)	1	3- 5+ 7- 11+ 37+	-1 3- 5+ 7- 11+ -6  4  4
Curve Equation t Generators 128205u1 [1,-1,1,21577,7425559622] 2 [9502:925560:1] 128205u2 [1,-1,1,-56963048,162788441222] 2 [3562:69427:1]
128205v (1 curve)	1	3- 5+ 7- 11+ 37+	2 3- 5+ 7- 11+  0 -5  4
Curve Equation t Generators 128205v1 [0,0,1,469977,89178309] 1 [385242176:16483003303:262144]
128205w (4 curves)	2	3- 5+ 7- 11+ 37-	-1 3- 5+ 7- 11+ -2 -6  4
Curve Equation t Generators 128205w1 [1,-1,1,-56093,5127396] 2 [138:-49:1]&[218:1686:1] 128205w2 [1,-1,1,-56138,5118792] 4 [-177:3168:1]&[-100:3168:1] 128205w3 [1,-1,1,-31883,9552606] 2 [-30:-3223:1]&[-1290:26541:8] 128205w4 [1,-1,1,-81113,133782] 2 [350:3636:1]&[-154:3069:1]
128205x (6 curves)	1	3- 5+ 7- 11- 37-	1 3- 5+ 7- 11- -2 -2  4
Curve Equation t Generators 128205x1 [1,-1,0,-41520685095,-3257283951945504] 2 [459135684372670666084893177269736891903520:-563090007475408652509721211499563469551038656:299820979443720317005161634350515761] 128205x2 [1,-1,0,-664378609140,-208435279571720325] 4 [13186923325594253544990:11072511835513106029666005:9947530359907496] 128205x3 [1,-1,0,-664426256985,-208403887370345784] 4 [2535041850644:12518194237637178:103823] 128205x4 [1,-1,0,-10630057746015,-13339865865733771950] 2 [1444991092570052335376653464894704366:-3087139239634493539005639347404831148979:221967460959738554183190377192] 128205x5 [1,-1,0,-577643231880,-264829706952071175] 2 [4196787877718436101988:-1820342135573913699257145:4136993602088768] 128205x6 [1,-1,0,-751971647610,-149968967472423909] 2 [973978:203410761:1]
128205y (4 curves)	1	3- 5+ 7- 11- 37-	-1 3- 5+ 7- 11- -2 -2 -4
Curve Equation t Generators 128205y1 [1,-1,1,-13358,597556] 2 [68:-20:1] 128205y2 [1,-1,1,-13403,593362] 4 [-2:788:1] 128205y3 [1,-1,1,-1748,1581706] 2 [35:1232:1] 128205y4 [1,-1,1,-25778,-663938] 2 [-62:863:1]
128205z (2 curves)	1	3- 5- 7+ 11+ 37+	-1 3- 5- 7+ 11+  4  4 -4
Curve Equation t Generators 128205z1 [1,-1,1,-5426222,4988398844] 2 [-1328:99916:1] 128205z2 [1,-1,1,-87422477,314639056226] 2 [-5324:795849:1]
128205ba (2 curves)	1	3- 5- 7+ 11+ 37+	-1 3- 5- 7+ 11+  4 -4 -4
Curve Equation t Generators 128205ba1 [1,-1,1,-4015967,-3984070354] 2 [3480535082759921299442:-222625459927069783704343:697149174254930873] 128205ba2 [1,-1,1,-69241622,-221733397006] 2 [-1278593284286:-453513384378:265847707]
128205bb (1 curve)	1	3- 5- 7+ 11+ 37+	2 3- 5- 7+ 11+  1  2 -4
Curve Equation t Generators 128205bb1 [0,0,1,1028463,6716811465] 1 [14674:972401:8]
128205bc (1 curve)	0	3- 5- 7+ 11- 37+	2 3- 5- 7+ 11-  4  1 -4
Curve Equation t 128205bc1 [0,0,1,-1979697,1088814195] 1
128205bd (4 curves)	1	3- 5- 7+ 11- 37-	1 3- 5- 7+ 11-  2 -2  4
Curve Equation t Generators 128205bd1 [1,-1,0,-10449,-408240] 2 [55132:463002:343] 128205bd2 [1,-1,0,-12654,-221697] 4 [574:13181:1] 128205bd3 [1,-1,0,45621,-1725192] 2 [35476:872879:64] 128205bd4 [1,-1,0,-106209,13194090] 2 [214:374:1]
128205be (1 curve)	1	3- 5- 7+ 11- 37-	-2 3- 5- 7+ 11- -2  3  6
Curve Equation t Generators 128205be1 [0,0,1,74593720923,-47856425455125140] 1 [20945092:6895139593:64]
128205bf (2 curves)	2	3- 5- 7- 11+ 37+	-1 3- 5- 7- 11+ -2  0 -8
Curve Equation t Generators 128205bf1 [1,-1,1,-1630382,977577356] 2 [-12042:41297:8]&[-954:41269:1] 128205bf2 [1,-1,1,-27646007,55953796106] 2 [-3584:-328346:1]&[-4134:317629:1]
128205bg (4 curves)	1	3- 5- 7- 11+ 37-	1 3- 5- 7- 11+ -6  6 -4
Curve Equation t Generators 128205bg1 [1,-1,0,8631,-180320] 2 [84:1022:1] 128205bg2 [1,-1,0,-40374,-1523057] 4 [-118:1319:1] 128205bg3 [1,-1,0,-315099,67103248] 2 [6382:140575:8] 128205bg4 [1,-1,0,-549729,-156672590] 2 [-426:472:1]
128205bh (1 curve)	1	3- 5- 7- 11+ 37-	-2 3- 5- 7- 11+  6  3  2
Curve Equation t Generators 128205bh1 [0,0,1,123,21010] 1 [13:-158:1]
128205bi (2 curves)	1	3- 5- 7- 11- 37+	1 3- 5- 7- 11-  0  0 -4
Curve Equation t Generators 128205bi1 [1,-1,0,-54,-4617] 2 [4818:61735:27] 128205bi2 [1,-1,0,-4509,-114210] 2 [714:18624:1]
128205bj (4 curves)	0	3- 5- 7- 11- 37-	1 3- 5- 7- 11- -2  6 -8
Curve Equation t 128205bj1 [1,-1,0,-2409,-13312] 2 128205bj2 [1,-1,0,-30534,-2043937] 4 128205bj3 [1,-1,0,-22659,-3129112] 2 128205bj4 [1,-1,0,-488409,-131256262] 2
128205bk (1 curve)	0	3- 5- 7- 11- 37-	2 3- 5- 7- 11- -1  2  0
Curve Equation t 128205bk1 [0,0,1,-68878767,-220031217095] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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