Cremona's table of elliptic curves

120450 = 2 · 3 · 5² · 11 · 73

Class	r	Atkin-Lehner	Eigenvalues
120450a (8 curves)	1	2+ 3+ 5+ 11+ 73+	2+ 3+ 5+  0 11+  2 -2  4
Curve Equation t Generators 120450a1 [1,1,0,-376750,241592500] 2 [-304588620:-15440555098:857375] 120450a2 [1,1,0,-8568750,9637816500] 4 [12670:45915:8] 120450a3 [1,1,0,-11160750,3321112500] 4 [-1734010:133018123:1000] 120450a4 [1,1,0,-137048750,617476696500] 2 [101440420:-7718370641:8000] 120450a5 [1,1,0,43289250,26244562500] 2 [1500:306750:1] 120450a6 [1,1,0,-107082750,-423819553500] 4 [-1942144507855010:-8385253821031413:344472101000] 120450a7 [1,1,0,-38645250,-958384866000] 2 [12076921812421468358190882742990:-5798444567654064202033962893234013:52456851858869461732301000] 120450a8 [1,1,0,-1710272250,-27224338425000] 2 [-3727528581238438999111077410:2023635661223343372242203467:156101598110903778341000]
120450b (1 curve)	1	2+ 3+ 5+ 11+ 73+	2+ 3+ 5+  0 11+ -5  3 -2
Curve Equation t Generators 120450b1 [1,1,0,-251575,48527125] 1 [291:113:1]
120450c (1 curve)	1	2+ 3+ 5+ 11+ 73+	2+ 3+ 5+  2 11+ -2  7  1
Curve Equation t Generators 120450c1 [1,1,0,8250,-22500] 1 [75:-1050:1]
120450d (1 curve)	1	2+ 3+ 5+ 11+ 73+	2+ 3+ 5+  3 11+  2  4 -5
Curve Equation t Generators 120450d1 [1,1,0,-285950,-58963500] 1 [-13063722012408266:10625366332950281:42093348779656]
120450e (2 curves)	1	2+ 3+ 5+ 11+ 73+	2+ 3+ 5+  4 11+  1 -3  2
Curve Equation t Generators 120450e1 [1,1,0,-21489385,-39164757755] 1 [36708161370513531049253141188105713000985401645:2641007525225281114412083474634569982380514705521:4384353688808480378492850849883099933124875] 120450e2 [1,1,0,-1750871785,-28199464779515] 1 [36717998402262344814705517724557408828963950130064784351383907880676836874317807384429836264601665468447391368541451949094284447858277984473345:-132327407800780196238718679840121736687160249356658418762711754648607472220261111609559506300285648238830775752931288804322008870116961210104267819:2827830846045879685247870846074819223440298615269073690307137976072444721580003242157731219202367160488738704437309687736576593314692375]
120450f (1 curve)	0	2+ 3+ 5+ 11+ 73-	2+ 3+ 5+ -1 11+ -2 -6 -1
Curve Equation t 120450f1 [1,1,0,-7269170,-7546563660] 1
120450g (2 curves)	0	2+ 3+ 5+ 11+ 73-	2+ 3+ 5+  2 11+  2  0  0
Curve Equation t 120450g1 [1,1,0,-8200,-152000] 2 120450g2 [1,1,0,-62200,5842000] 2
120450h (1 curve)	0	2+ 3+ 5+ 11+ 73-	2+ 3+ 5+  2 11+ -2  2 -2
Curve Equation t 120450h1 [1,1,0,-12215,-661905] 1
120450i (1 curve)	0	2+ 3+ 5+ 11- 73+	2+ 3+ 5+  1 11- -2  2  7
Curve Equation t 120450i1 [1,1,0,-15625,745285] 1
120450j (2 curves)	0	2+ 3+ 5+ 11- 73+	2+ 3+ 5+  2 11-  4  2 -4
Curve Equation t 120450j1 [1,1,0,-371575,87023125] 2 120450j2 [1,1,0,-355575,94879125] 2
120450k (1 curve)	0	2+ 3+ 5+ 11- 73+	2+ 3+ 5+ -2 11-  1  2  7
Curve Equation t 120450k1 [1,1,0,-1265160,-548256960] 1
120450l (1 curve)	0	2+ 3+ 5+ 11- 73+	2+ 3+ 5+  3 11- -1 -1  0
Curve Equation t 120450l1 [1,1,0,250,-2250] 1
120450m (1 curve)	0	2+ 3+ 5- 11+ 73+	2+ 3+ 5- -3 11+ -1 -3 -2
Curve Equation t 120450m1 [1,1,0,54425,7667125] 1
120450n (2 curves)	1	2+ 3+ 5- 11+ 73-	2+ 3+ 5-  4 11+ -2 -6  4
Curve Equation t Generators 120450n1 [1,1,0,-270,2100] 2 [-4:58:1] 120450n2 [1,1,0,-4670,120900] 2 [-16:446:1]
120450o (2 curves)	1	2+ 3+ 5- 11- 73+	2+ 3+ 5-  0 11- -2 -2  2
Curve Equation t Generators 120450o1 [1,1,0,-5825,194625] 2 [35:-205:1] 120450o2 [1,1,0,-97075,11600875] 2 [-165:4895:1]
120450p (1 curve)	1	2+ 3+ 5- 11- 73+	2+ 3+ 5-  0 11- -3  0 -1
Curve Equation t Generators 120450p1 [1,1,0,-113477700,472851234000] 1 [67341:17235246:1]
120450q (1 curve)	1	2+ 3+ 5- 11- 73+	2+ 3+ 5-  2 11-  5  2  5
Curve Equation t Generators 120450q1 [1,1,0,-89700,-8406000] 1 [-111:501:1]
120450r (1 curve)	1	2+ 3+ 5- 11- 73+	2+ 3+ 5-  3 11-  1  7  2
Curve Equation t Generators 120450r1 [1,1,0,50440,4162050] 1 [945:29475:1]
120450s (1 curve)	1	2+ 3+ 5- 11- 73+	2+ 3+ 5- -3 11- -2  4  2
Curve Equation t Generators 120450s1 [1,1,0,-3360,-76800] 1 [95:640:1]
120450t (1 curve)	1	2+ 3+ 5- 11- 73+	2+ 3+ 5-  5 11- -2 -2  7
Curve Equation t Generators 120450t1 [1,1,0,-56144575,-161727522875] 1 [-5512268244652127112538007339809511252586553872294886967533889079:6094184171051007369738327937293134526938767447588625453772866975:1313142353419585985913492528074997584297711395457826610170929]
120450u (1 curve)	0	2+ 3+ 5- 11- 73-	2+ 3+ 5- -1 11- -6  4 -2
Curve Equation t 120450u1 [1,1,0,-61200,270864000] 1
120450v (1 curve)	0	2+ 3+ 5- 11- 73-	2+ 3+ 5- -3 11- -6 -4  7
Curve Equation t 120450v1 [1,1,0,-31950,-1599750] 1
120450w (2 curves)	2	2+ 3- 5+ 11+ 73+	2+ 3- 5+ -2 11+ -4  6 -4
Curve Equation t Generators 120450w1 [1,0,1,-4001,88148] 2 [-69:226:1]&[-48:436:1] 120450w2 [1,0,1,4999,430148] 2 [-402:2033:8]&[-24:556:1]
120450x (1 curve)	1	2+ 3- 5+ 11+ 73-	2+ 3- 5+  2 11+ -5 -2  7
Curve Equation t Generators 120450x1 [1,0,1,-41566,-3079852] 1 [-137:287:1]
120450y (1 curve)	1	2+ 3- 5+ 11+ 73-	2+ 3- 5+ -2 11+  1  4 -7
Curve Equation t Generators 120450y1 [1,0,1,1264,3174878] 1 [-144:181:1]
120450z (1 curve)	1	2+ 3- 5+ 11+ 73-	2+ 3- 5+ -3 11+  0  3  7
Curve Equation t Generators 120450z1 [1,0,1,-12041,931148] 1 [57:25654:27]
120450ba (1 curve)	1	2+ 3- 5+ 11- 73+	2+ 3- 5+  3 11-  2  0 -3
Curve Equation t Generators 120450ba1 [1,0,1,-661,-1312] 1 [-2:2:1]
120450bb (1 curve)	0	2+ 3- 5+ 11- 73-	2+ 3- 5+  3 11-  3 -3  8
Curve Equation t 120450bb1 [1,0,1,-9663194251,-365620160585602] 1
120450bc (2 curves)	1	2+ 3- 5- 11+ 73+	2+ 3- 5-  4 11+ -6 -2  4
Curve Equation t Generators 120450bc1 [1,0,1,3299,-108952] 2 [43:314:1] 120450bc2 [1,0,1,-24201,-1153952] 2 [-109:492:1]
120450bd (2 curves)	0	2+ 3- 5- 11+ 73-	2+ 3- 5-  2 11+ -1  6  5
Curve Equation t 120450bd1 [1,0,1,-121033151,214517550098] 3 120450bd2 [1,0,1,-5090170526,-139774655562352] 1
120450be (1 curve)	0	2+ 3- 5- 11+ 73-	2+ 3- 5- -3 11+ -5  3  2
Curve Equation t 120450be1 [1,0,1,-12316,-570022] 1
120450bf (2 curves)	0	2+ 3- 5- 11+ 73-	2+ 3- 5-  5 11+  2  0 -7
Curve Equation t 120450bf1 [1,0,1,-12101,470198] 3 120450bf2 [1,0,1,-203726,-35325352] 1
120450bg (1 curve)	0	2+ 3- 5- 11- 73+	2+ 3- 5-  1 11- -2  0 -2
Curve Equation t 120450bg1 [1,0,1,-818701,-286821202] 1
120450bh (1 curve)	1	2+ 3- 5- 11- 73-	2+ 3- 5-  4 11-  4 -1 -5
Curve Equation t Generators 120450bh1 [1,0,1,-167076,38619298] 1 [2:6186:1]
120450bi (4 curves)	0	2- 3+ 5+ 11+ 73+	2- 3+ 5+  0 11+ -6  6  4
Curve Equation t 120450bi1 [1,1,1,339653162,-96639648135469] 2 120450bi2 [1,1,1,-29645114838,-1919593603463469] 4 120450bi3 [1,1,1,-67751402838,4026359150904531] 2 120450bi4 [1,1,1,-471295114838,-124533999803463469] 2
120450bj (2 curves)	0	2- 3+ 5+ 11+ 73+	2- 3+ 5+ -2 11+  1 -6  5
Curve Equation t 120450bj1 [1,1,1,-3025828763,26814693762281] 1 120450bj2 [1,1,1,-127254263138,-17471831945293969] 1
120450bk (2 curves)	0	2- 3+ 5+ 11+ 73+	2- 3+ 5+ -5 11+ -2  0 -7
Curve Equation t 120450bk1 [1,1,1,-302513,58774781] 1 120450bk2 [1,1,1,-5093138,-4415668969] 1
120450bl (1 curve)	1	2- 3+ 5+ 11+ 73-	2- 3+ 5+ -1 11+  0  4 -6
Curve Equation t Generators 120450bl1 [1,1,1,-9088938,10543007031] 1 [1905:11147:1]
120450bm (1 curve)	1	2- 3+ 5+ 11+ 73-	2- 3+ 5+ -1 11+  3  7  0
Curve Equation t Generators 120450bm1 [1,1,1,-4588,-127219] 1 [105:697:1]
120450bn (2 curves)	1	2- 3+ 5+ 11+ 73-	2- 3+ 5+  4 11+  0 -4 -8
Curve Equation t Generators 120450bn1 [1,1,1,-111813,-14396469] 2 [-201:188:1] 120450bn2 [1,1,1,-63813,-26780469] 2 [399:3188:1]
120450bo (1 curve)	1	2- 3+ 5- 11+ 73+	2- 3+ 5-  2 11+ -1 -4 -7
Curve Equation t Generators 120450bo1 [1,1,1,31612,396859781] 1 [-501:16237:1]
120450bp (1 curve)	1	2- 3+ 5- 11+ 73+	2- 3+ 5- -2 11+  5  2  7
Curve Equation t Generators 120450bp1 [1,1,1,-1039138,-384981469] 1 [5585:407157:1]
120450bq (1 curve)	1	2- 3+ 5- 11+ 73+	2- 3+ 5-  3 11+  0 -3  7
Curve Equation t Generators 120450bq1 [1,1,1,-301013,116393531] 1 [335:-7468:1]
120450br (1 curve)	1	2- 3+ 5- 11+ 73+	2- 3+ 5-  3 11+  5 -3  2
Curve Equation t Generators 120450br1 [1,1,1,-307888,-71252719] 1 [17445:-1861:27]
120450bs (2 curves)	0	2- 3+ 5- 11+ 73-	2- 3+ 5- -4 11+  6  2  4
Curve Equation t 120450bs1 [1,1,1,132,-819] 2 120450bs2 [1,1,1,-968,-9619] 2
120450bt (1 curve)	2	2- 3+ 5- 11- 73+	2- 3+ 5- -4 11- -4  1 -5
Curve Equation t Generators 120450bt1 [1,1,1,-6683,306281] 1 [99:-842:1]&[-55:742:1]
120450bu (1 curve)	1	2- 3+ 5- 11- 73-	2- 3+ 5- -1 11-  2  0 -2
Curve Equation t Generators 120450bu1 [1,1,1,-32748,-2307669] 1 [19110:921921:8]
120450bv (1 curve)	1	2- 3+ 5- 11- 73-	2- 3+ 5- -3 11- -2  0 -3
Curve Equation t Generators 120450bv1 [1,1,1,-16513,-163969] 1 [-65:832:1]
120450bw (1 curve)	1	2- 3- 5+ 11+ 73+	2- 3- 5+  1 11+ -4  0 -6
Curve Equation t Generators 120450bw1 [1,0,0,-1188,-70008] 1 [2206:35197:8]
120450bx (2 curves)	0	2- 3- 5+ 11+ 73-	2- 3- 5+  0 11+  6  6  4
Curve Equation t 120450bx1 [1,0,0,-99963,-12161583] 2 120450bx2 [1,0,0,-74963,-18386583] 2
120450by (4 curves)	0	2- 3- 5+ 11+ 73-	2- 3- 5+  0 11+  6 -6 -4
Curve Equation t 120450by1 [1,0,0,-1379688,-623683008] 2 120450by2 [1,0,0,-1579688,-431083008] 4 120450by3 [1,0,0,5075312,-3113048008] 2 120450by4 [1,0,0,-11434688,14578081992] 2
120450bz (1 curve)	0	2- 3- 5+ 11+ 73-	2- 3- 5+ -5 11+ -5  7  8
Curve Equation t 120450bz1 [1,0,0,3562,-4619508] 1
120450ca (4 curves)	0	2- 3- 5+ 11- 73+	2- 3- 5+  0 11-  2  6  0
Curve Equation t 120450ca1 [1,0,0,-282838,-57919708] 2 120450ca2 [1,0,0,-290838,-54471708] 4 120450ca3 [1,0,0,384162,-269796708] 2 120450ca4 [1,0,0,-1093838,381557292] 2
120450cb (4 curves)	0	2- 3- 5+ 11- 73+	2- 3- 5+  0 11- -6 -2 -8
Curve Equation t 120450cb1 [1,0,0,-22088,1023792] 2 120450cb2 [1,0,0,-334588,74461292] 4 120450cb3 [1,0,0,-315838,83180042] 2 120450cb4 [1,0,0,-5353338,4766992542] 2
120450cc (1 curve)	0	2- 3- 5+ 11- 73+	2- 3- 5+  3 11-  6  4  7
Curve Equation t 120450cc1 [1,0,0,-1278,-12798] 1
120450cd (2 curves)	0	2- 3- 5+ 11- 73+	2- 3- 5+  4 11-  6 -6  0
Curve Equation t 120450cd1 [1,0,0,-988,-7408] 2 120450cd2 [1,0,0,3012,-51408] 2
120450ce (1 curve)	1	2- 3- 5+ 11- 73-	2- 3- 5+  0 11-  3  0 -1
Curve Equation t Generators 120450ce1 [1,0,0,-4539108,3782809872] 1 [-504:77340:1]
120450cf (1 curve)	1	2- 3- 5+ 11- 73-	2- 3- 5+ -2 11- -5 -2  5
Curve Equation t Generators 120450cf1 [1,0,0,-3588,-67248] 1 [-42:120:1]
120450cg (1 curve)	1	2- 3- 5+ 11- 73-	2- 3- 5+ -5 11-  2  2  7
Curve Equation t Generators 120450cg1 [1,0,0,-2245783,-1293820183] 1 [-862:-883:1]
120450ch (1 curve)	0	2- 3- 5- 11+ 73+	2- 3- 5-  1 11+  2  6 -1
Curve Equation t 120450ch1 [1,0,0,-181729263,-942956998983] 1
120450ci (1 curve)	0	2- 3- 5- 11+ 73+	2- 3- 5- -2 11+  2 -2 -2
Curve Equation t 120450ci1 [1,0,0,-305388,-82127358] 1
120450cj (2 curves)	0	2- 3- 5- 11+ 73+	2- 3- 5- -4 11+  2  6  4
Curve Equation t 120450cj1 [1,0,0,-6763,276017] 2 120450cj2 [1,0,0,-116763,15346017] 2
120450ck (1 curve)	1	2- 3- 5- 11+ 73-	2- 3- 5-  0 11+  5 -3 -2
Curve Equation t Generators 120450ck1 [1,0,0,-10063,388217] 1 [122:929:1]
120450cl (1 curve)	1	2- 3- 5- 11+ 73-	2- 3- 5-  3 11+  1  3 -2
Curve Equation t Generators 120450cl1 [1,0,0,2177,61337] 1 [32:-421:1]
120450cm (1 curve)	1	2- 3- 5- 11+ 73-	2- 3- 5- -3 11+ -2 -4 -5
Curve Equation t Generators 120450cm1 [1,0,0,-11438,-471708] 1 [-62:40:1]
120450cn (2 curves)	1	2- 3- 5- 11+ 73-	2- 3- 5- -4 11+ -1  3  2
Curve Equation t Generators 120450cn1 [1,0,0,-537234638,-4894520250108] 3 [29452:2183074:1] 120450cn2 [1,0,0,-43771794638,-3524845553850108] 1 [555916:379120930:1]
120450co (1 curve)	1	2- 3- 5- 11- 73+	2- 3- 5-  1 11-  6 -4 -2
Curve Equation t Generators 120450co1 [1,0,0,-2448,2166912] 1 [-18:1494:1]
120450cp (2 curves)	0	2- 3- 5- 11- 73-	2- 3- 5-  0 11-  2  2  2
Curve Equation t 120450cp1 [1,0,0,-233,1557] 2 120450cp2 [1,0,0,-3883,92807] 2
120450cq (1 curve)	0	2- 3- 5- 11- 73-	2- 3- 5- -1 11-  2 -2  7
Curve Equation t 120450cq1 [1,0,0,-390638,93941892] 1
120450cr (1 curve)	0	2- 3- 5- 11- 73-	2- 3- 5-  2 11- -1 -2  7
Curve Equation t 120450cr1 [1,0,0,-31629013,-68468861983] 1
120450cs (1 curve)	0	2- 3- 5- 11- 73-	2- 3- 5-  3 11-  2 -4  2
Curve Equation t 120450cs1 [1,0,0,-84013,-9431983] 1
120450ct (1 curve)	0	2- 3- 5- 11- 73-	2- 3- 5- -3 11- -1 -7  2
Curve Equation t 120450ct1 [1,0,0,1260987,517734267] 1

Data from Elliptic Curve Data by J. E. Cremona.
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