Cremona's table of elliptic curves

129960 = 2³ · 3² · 5 · 19²

Class	r	Atkin-Lehner	Eigenvalues
129960a (2 curves)	1	2+ 3+ 5+ 19+	2+ 3+ 5+  0  0 -2  0 19+
Curve Equation t Generators 129960a1 [0,0,0,-5643,-136458] 2 [-38:152:1] 129960a2 [0,0,0,-26163,1501038] 2 [178:1576:1]
129960b (1 curve)	1	2+ 3+ 5+ 19+	2+ 3+ 5+  3  4  3 -6 19+
Curve Equation t Generators 129960b1 [0,0,0,20577,2345778] 1 [-21:1380:1]
129960c (1 curve)	1	2+ 3+ 5+ 19+	2+ 3+ 5+ -3 -4 -5 -2 19+
Curve Equation t Generators 129960c1 [0,0,0,-1111158,629841393] 1 [1444:45125:1]
129960d (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  2  2 -4 -2 19-
Curve Equation t 129960d1 [0,0,0,-1083,123462] 2 129960d2 [0,0,0,-44403,3580398] 2
129960e (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+ -2 -2  0  6 19-
Curve Equation t 129960e1 [0,0,0,85557,-1107303242] 2 129960e2 [0,0,0,-15552963,-23154488738] 2
129960f (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  4  2  4 -4 19-
Curve Equation t 129960f1 [0,0,0,-174363,27998438] 2 129960f2 [0,0,0,-217683,13018382] 2
129960g (2 curves)	0	2+ 3+ 5- 19+	2+ 3+ 5-  0  0  2  0 19+
Curve Equation t 129960g1 [0,0,0,-226347,-34665386] 2 129960g2 [0,0,0,-1049427,381319246] 2
129960h (2 curves)	1	2+ 3+ 5- 19-	2+ 3+ 5-  0  2  0  0 19-
Curve Equation t Generators 129960h1 [0,0,0,-38607867,92333896326] 2 [4522:101080:1] 129960h2 [0,0,0,-38997747,90373813614] 2 [1579774:31551400:343]
129960i (1 curve)	1	2+ 3+ 5- 19-	2+ 3+ 5-  3 -4 -3  6 19-
Curve Equation t Generators 129960i1 [0,0,0,513,9234] 1 [63:540:1]
129960j (1 curve)	1	2+ 3+ 5- 19-	2+ 3+ 5- -3  4  5  2 19-
Curve Equation t Generators 129960j1 [0,0,0,-342,3401] 1 [-8:75:1]
129960k (1 curve)	0	2+ 3- 5+ 19+	2+ 3- 5+  1 -2  1  5 19+
Curve Equation t 129960k1 [0,0,0,-5329443,-4808584258] 1
129960l (1 curve)	0	2+ 3- 5+ 19+	2+ 3- 5+ -1  0  1 -4 19+
Curve Equation t 129960l1 [0,0,0,-6564063,-6474086638] 1
129960m (1 curve)	0	2+ 3- 5+ 19+	2+ 3- 5+ -2 -3 -4  4 19+
Curve Equation t 129960m1 [0,0,0,-1261863948,17252997538228] 1
129960n (1 curve)	0	2+ 3- 5+ 19+	2+ 3- 5+  3  2  1  4 19+
Curve Equation t 129960n1 [0,0,0,-1083,-130682] 1
129960o (4 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  0  0  2  6 19-
Curve Equation t Generators 129960o1 [0,0,0,-309738,129683113] 2 [3572:211185:1] 129960o2 [0,0,0,-6174183,5901469882] 4 [480795:24703952:125] 129960o3 [0,0,0,-7408803,3372721198] 2 [26866:1023435:8] 129960o4 [0,0,0,-98770683,377824571782] 2 [5231:65520:1]
129960p (1 curve)	1	2+ 3- 5+ 19-	2+ 3- 5+  0  2 -2  3 19-
Curve Equation t Generators 129960p1 [0,0,0,-7923,-284753] 1 [479:10287:1]
129960q (2 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  0  4 -4  2 19-
Curve Equation t Generators 129960q1 [0,0,0,-114798,12915497] 2 [3344:192413:1] 129960q2 [0,0,0,193857,70387058] 2 [7304531:-425262332:2197]
129960r (4 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  0 -4 -2 -6 19-
Curve Equation t Generators 129960r1 [0,0,0,63897,10850938] 2 [-114:1444:1] 129960r2 [0,0,0,-520923,119744422] 4 [-601:14688:1] 129960r3 [0,0,0,-2470323,-1384022738] 2 [-60124:663867:64] 129960r4 [0,0,0,-7928643,8592694558] 2 [6258:451724:1]
129960s (1 curve)	1	2+ 3- 5+ 19-	2+ 3- 5+ -1 -4 -1  7 19-
Curve Equation t Generators 129960s1 [0,0,0,-217683,171488718] 1 [154774:60889870:1]
129960t (1 curve)	1	2+ 3- 5+ 19-	2+ 3- 5+ -2  1  0  0 19-
Curve Equation t Generators 129960t1 [0,0,0,-7068,-227468] 1 [-46:18:1]
129960u (2 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+ -2  2  4  2 19-
Curve Equation t Generators 129960u1 [0,0,0,63897,-30851782] 2 [1657453:-115358328:343] 129960u2 [0,0,0,-1170723,-457783378] 2 [19351:2687580:1]
129960v (1 curve)	1	2+ 3- 5+ 19-	2+ 3- 5+ -2 -2  4  3 19-
Curve Equation t Generators 129960v1 [0,0,0,-390963,-106472257] 1 [34117107815:2486606209407:6331625]
129960w (1 curve)	1	2+ 3- 5+ 19-	2+ 3- 5+ -2  5  4 -4 19-
Curve Equation t Generators 129960w1 [0,0,0,-24808908,45843131828] 1 [-3974:285786:1]
129960x (1 curve)	1	2+ 3- 5+ 19-	2+ 3- 5+ -2 -5 -6  6 19-
Curve Equation t Generators 129960x1 [0,0,0,-7923,272878] 1 [54:50:1]
129960y (1 curve)	1	2+ 3- 5+ 19-	2+ 3- 5+  3 -2 -1  8 19-
Curve Equation t Generators 129960y1 [0,0,0,-192603,35360102] 1 [7:5832:1]
129960z (1 curve)	1	2+ 3- 5+ 19-	2+ 3- 5+  3  3  2  0 19-
Curve Equation t Generators 129960z1 [0,0,0,-7923,338542] 1 [1778:74880:1]
129960ba (1 curve)	1	2+ 3- 5+ 19-	2+ 3- 5+  3 -4 -5  0 19-
Curve Equation t Generators 129960ba1 [0,0,0,1805858097,-18438523765598] 1 [4002167642186882818622204916794:1165513180268217257556213396093750:66980938313558784019445569]
129960bb (1 curve)	1	2+ 3- 5+ 19-	2+ 3- 5+  4 -1  4 -4 19-
Curve Equation t Generators 129960bb1 [0,0,0,-228,-988] 1 [-8:18:1]
129960bc (2 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  4  4  0 -6 19-
Curve Equation t Generators 129960bc1 [0,0,0,15162,294937] 2 [912:27797:1] 129960bc2 [0,0,0,-66063,2455522] 2 [318801:9355676:343]
129960bd (4 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  4  4 -2  6 19-
Curve Equation t Generators 129960bd1 [0,0,0,-829578,132426713] 2 [54409996:5706794495:4913] 129960bd2 [0,0,0,-6694023,-6575325478] 4 [1841382736045614608:115898109707517377085:339717725720576] 129960bd3 [0,0,0,-520923,-18233842138] 2 [2154538089539818761730344516910:-224892495617448375229821311917424:194267546936086992040392875] 129960bd4 [0,0,0,-106698243,-424212949042] 2 [15282591746:1924262487000:704969]
129960be (2 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  4 -4  4  2 19-
Curve Equation t Generators 129960be1 [0,0,0,-84588798,-299691089503] 2 [9507226064042043088122352:18140908694049803605515141647:2611202863811279921] 129960be2 [0,0,0,-1353729423,-19171050698878] 2 [2073428587118459201392727847935778731775631041475471:3956194130855616490894719189585360826506118815218276756:569465652676171956282759965822851266509740433]
129960bf (4 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+ -4 -4  2 -2 19-
Curve Equation t Generators 129960bf1 [0,0,0,-6498,185193] 2 [76:-361:1] 129960bf2 [0,0,0,-22743,-1111158] 4 [-69:360:1] 129960bf3 [0,0,0,42237,-6296562] 2 [1014:32850:1] 129960bf4 [0,0,0,-347643,-78892218] 2 [1102:29602:1]
129960bg (1 curve)	1	2+ 3- 5- 19+	2+ 3- 5-  1  4  1  0 19+
Curve Equation t Generators 129960bg1 [0,0,0,-36822,2816161] 1 [152:-855:1]
129960bh (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5- -2  0  6 -2 19+
Curve Equation t Generators 129960bh1 [0,0,0,1831353,708164314] 2 [25883:4169880:1] 129960bh2 [0,0,0,-9280227,6323956846] 2 [647:24300:1]
129960bi (4 curves)	0	2+ 3- 5- 19-	2+ 3- 5-  0  4  2  2 19-
Curve Equation t 129960bi1 [0,0,0,2091273,-2753929654] 2 129960bi2 [0,0,0,-21366507,-33328800106] 4 129960bi3 [0,0,0,-88035987,284111261966] 2 129960bi4 [0,0,0,-330021507,-2307560571106] 2
129960bj (1 curve)	0	2+ 3- 5- 19-	2+ 3- 5-  0 -5  2  2 19-
Curve Equation t 129960bj1 [0,0,0,-1563852,-485315404] 1
129960bk (4 curves)	0	2+ 3- 5- 19-	2+ 3- 5-  4  0  6  2 19-
Curve Equation t 129960bk1 [0,0,0,11913,-233206] 2 129960bk2 [0,0,0,-53067,-1961674] 4 129960bk3 [0,0,0,-442947,112117214] 2 129960bk4 [0,0,0,-702867,-226662514] 2
129960bl (2 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+  0  0  2  0 19+
Curve Equation t 129960bl1 [0,0,0,-2037123,935965422] 2 129960bl2 [0,0,0,-9444843,-10295619642] 2
129960bm (2 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+  0 -2  0  0 19-
Curve Equation t Generators 129960bm1 [0,0,0,-4289763,-3419773938] 2 [-18702650:251978:15625] 129960bm2 [0,0,0,-4333083,-3347178282] 2 [4434422350:-2362293498022:15625]
129960bn (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+  3  4 -3 -6 19-
Curve Equation t Generators 129960bn1 [0,0,0,57,-342] 1 [9:-30:1]
129960bo (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+ -3 -4  5 -2 19-
Curve Equation t Generators 129960bo1 [0,0,0,-3078,-91827] 1 [642:3375:8]
129960bp (2 curves)	1	2- 3+ 5- 19+	2- 3+ 5-  0  0 -2  0 19+
Curve Equation t Generators 129960bp1 [0,0,0,-627,5054] 2 [38:190:1] 129960bp2 [0,0,0,-2907,-55594] 2 [62:50:1]
129960bq (1 curve)	1	2- 3+ 5- 19+	2- 3+ 5-  3 -4  3  6 19+
Curve Equation t Generators 129960bq1 [0,0,0,185193,-63336006] 1 [1773:76410:1]
129960br (1 curve)	1	2- 3+ 5- 19+	2- 3+ 5- -3  4 -5  2 19+
Curve Equation t Generators 129960br1 [0,0,0,-123462,-23327459] 1 [722:16245:1]
129960bs (2 curves)	0	2- 3+ 5- 19-	2- 3+ 5-  2 -2 -4  2 19-
Curve Equation t 129960bs1 [0,0,0,-9747,-3333474] 2 129960bs2 [0,0,0,-399627,-96670746] 2
129960bt (2 curves)	0	2- 3+ 5- 19-	2- 3+ 5- -2  2  0 -6 19-
Curve Equation t 129960bt1 [0,0,0,770013,29897187534] 2 129960bt2 [0,0,0,-139976667,625171195926] 2
129960bu (2 curves)	0	2- 3+ 5- 19-	2- 3+ 5-  4 -2  4  4 19-
Curve Equation t 129960bu1 [0,0,0,-1569267,-755957826] 2 129960bu2 [0,0,0,-1959147,-351496314] 2
129960bv (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+  0  2  2  3 19+
Curve Equation t Generators 129960bv1 [0,0,0,-2860203,1953120827] 1 [1394987:13747563:1331]
129960bw (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+  1 -2 -1  5 19+
Curve Equation t Generators 129960bw1 [0,0,0,-14763,701062] 1 [-114:950:1]
129960bx (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+ -2  1  0  0 19+
Curve Equation t Generators 129960bx1 [0,0,0,-2551548,1560203012] 1 [704:10622:1]
129960by (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+ -2 -2 -4  3 19+
Curve Equation t Generators 129960by1 [0,0,0,-1083,15523] 1 [-19:171:1]
129960bz (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+ -2  5 -4 -4 19+
Curve Equation t Generators 129960bz1 [0,0,0,-8956015788,-314438041208252] 1 [-88543134437952791573288543116714529816905055664108432:4542534710394083596420790813635731575161062984510235478:1509179123544042596757938984755543422608268327163]
129960ca (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+ -2 -5  6  6 19+
Curve Equation t Generators 129960ca1 [0,0,0,-2860203,-1871670202] 1 [1518676401262687014374685235253315782:91237710195012146870717283571617552100:348071196178628881056858293071343]
129960cb (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+  3 -2  1  8 19+
Curve Equation t Generators 129960cb1 [0,0,0,-69529683,-242534939618] 1 [103385556463:8683508079000:7645373]
129960cc (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+  3  3 -2  0 19+
Curve Equation t Generators 129960cc1 [0,0,0,-2860203,-2322059578] 1 [66321277641144446:6570732303814864950:6552850393097]
129960cd (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+  3 -4  5  0 19+
Curve Equation t Generators 129960cd1 [0,0,0,5002377,2688223322] 1 [76321:21093750:1]
129960ce (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+  4 -1 -4 -4 19+
Curve Equation t Generators 129960ce1 [0,0,0,-82308,6776692] 1 [404:6282:1]
129960cf (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+  0  4  6  6 19-
Curve Equation t 129960cf1 [0,0,0,-6498,3889053] 2 129960cf2 [0,0,0,-412623,101115378] 4 129960cf3 [0,0,0,-737523,-80373762] 2 129960cf4 [0,0,0,-6585723,6505089318] 2
129960cg (6 curves)	0	2- 3- 5+ 19-	2- 3- 5+  0  4 -6  6 19-
Curve Equation t 129960cg1 [0,0,0,-49818,4273157] 2 129960cg2 [0,0,0,-66063,1248338] 4 129960cg3 [0,0,0,258837,9890678] 2 129960cg4 [0,0,0,-650883,-200982418] 4 129960cg5 [0,0,0,-261003,-439511002] 2 129960cg6 [0,0,0,-10397883,-12905222218] 2
129960ch (6 curves)	0	2- 3- 5+ 19-	2- 3- 5+  0 -4  2 -2 19-
Curve Equation t 129960ch1 [0,0,0,989862,-787365187] 2 129960ch2 [0,0,0,-9163263,-9159632062] 4 129960ch3 [0,0,0,-40028763,88542021638] 2 129960ch4 [0,0,0,-140747763,-642686365762] 4 129960ch5 [0,0,0,-134899563,-698533166842] 2 129960ch6 [0,0,0,-2251947963,-41132550521482] 2
129960ci (1 curve)	2	2- 3- 5+ 19-	2- 3- 5+ -1  0 -1 -4 19-
Curve Equation t Generators 129960ci1 [0,0,0,-18183,943882] 1 [-94:1350:1]&[77:-18:1]
129960cj (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+  2  0  2 -4 19-
Curve Equation t 129960cj1 [0,0,0,45354957,96254665342] 2 129960cj2 [0,0,0,-238867563,874967525638] 2
129960ck (2 curves)	2	2- 3- 5+ 19-	2- 3- 5+  2 -6 -4  2 19-
Curve Equation t Generators 129960ck1 [0,0,0,-66063,-12359918] 2 [437:6498:1]&[617:13482:1] 129960ck2 [0,0,0,-1300683,-570655082] 2 [-661:540:1]&[1406:19494:1]
129960cl (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+ -2 -3  4  4 19-
Curve Equation t 129960cl1 [0,0,0,-3495468,-2515380892] 1
129960cm (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+  3  2 -1  4 19-
Curve Equation t 129960cm1 [0,0,0,-390963,896347838] 1
129960cn (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+  4  0 -2 -2 19-
Curve Equation t 129960cn1 [0,0,0,-309738,-66347107] 2 129960cn2 [0,0,0,-325983,-59001118] 4 129960cn3 [0,0,0,648717,-344198338] 2 129960cn4 [0,0,0,-1560603,696339398] 2
129960co (1 curve)	2	2- 3- 5- 19+	2- 3- 5-  0 -5 -2  2 19+
Curve Equation t Generators 129960co1 [0,0,0,-4332,70756] 1 [152:-1710:1]&[0:266:1]
129960cp (2 curves)	2	2- 3- 5- 19+	2- 3- 5- -2  0 -6 -2 19+
Curve Equation t Generators 129960cp1 [0,0,0,5073,-103246] 2 [73:-810:1]&[25:198:1] 129960cp2 [0,0,0,-25707,-921994] 2 [-133:380:1]&[-98:810:1]
129960cq (1 curve)	1	2- 3- 5- 19-	2- 3- 5-  1  4 -1  0 19-
Curve Equation t Generators 129960cq1 [0,0,0,-13292742,-19316048299] 1 [57802:13868415:1]
129960cr (2 curves)	1	2- 3- 5- 19-	2- 3- 5- -2  4  2  0 19-
Curve Equation t Generators 129960cr1 [0,0,0,76893,-1467826] 2 [80740:2935197:64] 129960cr2 [0,0,0,-312987,-11838634] 2 [-98:4230:1]

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