Cremona's table of elliptic curves

38160 = 2⁴ · 3² · 5 · 53

Class	r	Atkin-Lehner	Eigenvalues
38160a (2 curves)	0	2+ 3+ 5+ 53-	2+ 3+ 5+  0  0  2  2  2
Curve Equation t 38160a1 [0,0,0,297,-3402] 2 38160a2 [0,0,0,-2403,-37422] 2
38160b (2 curves)	0	2+ 3+ 5- 53+	2+ 3+ 5-  0  0  2 -2  2
Curve Equation t 38160b1 [0,0,0,33,126] 2 38160b2 [0,0,0,-267,1386] 2
38160c (2 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+  2  0 -2 -2  6
Curve Equation t 38160c1 [0,0,0,-18903,990902] 2 38160c2 [0,0,0,-4323,2480978] 2
38160d (1 curve)	0	2+ 3- 5+ 53+	2+ 3- 5+ -2  0  1  5  5
Curve Equation t 38160d1 [0,0,0,-363,-3062] 1
38160e (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+ -2  0  4  0  0
Curve Equation t Generators 38160e1 [0,0,0,-7767923403,-263514839196598] 2 [-23369896263127360616633050360908116086450785717557932:5637618333091077591441853859992349002523128130632893:459018663387095895267732616418377773689519591744] 38160e2 [0,0,0,-7831696323,-258967970301022] 2 [-1893319195458472442544469482022:-47111760654966090340868847656250:42647660678113869396013757]
38160f (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+ -2  0  4 -7  0
Curve Equation t Generators 38160f1 [0,0,0,132,-52] 1 [1:9:1]
38160g (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+  3  5 -6  0 -5
Curve Equation t Generators 38160g1 [0,0,0,-30243,2033858] 1 [469:9540:1]
38160h (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+  4 -4  4  0 -2
Curve Equation t Generators 38160h1 [0,0,0,-723,7202] 2 [-23:108:1] 38160h2 [0,0,0,357,26858] 2 [-17:126:1]
38160i (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+  4 -6 -2  0  6
Curve Equation t Generators 38160i1 [0,0,0,357,-358] 2 [11:70:1] 38160i2 [0,0,0,-1443,-2878] 2 [-11:108:1]
38160j (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+ -5  1  2  0 -3
Curve Equation t Generators 38160j1 [0,0,0,357,-833942] 1 [359:6750:1]
38160k (2 curves)	1	2+ 3- 5- 53+	2+ 3- 5- -2  0  0  0  0
Curve Equation t Generators 38160k1 [0,0,0,-867,-9614] 2 [-15:4:1] 38160k2 [0,0,0,-1947,19114] 2 [-15:212:1]
38160l (4 curves)	0	2+ 3- 5- 53-	2+ 3- 5-  0  4  2 -2  4
Curve Equation t 38160l1 [0,0,0,-7167,233534] 2 38160l2 [0,0,0,-7347,221186] 4 38160l3 [0,0,0,8853,1060346] 2 38160l4 [0,0,0,-26427,-1408246] 2
38160m (2 curves)	0	2+ 3- 5- 53-	2+ 3- 5- -2  0  6 -6 -6
Curve Equation t 38160m1 [0,0,0,-687,-6226] 2 38160m2 [0,0,0,933,-31174] 2
38160n (2 curves)	0	2+ 3- 5- 53-	2+ 3- 5-  4 -2  4 -2 -4
Curve Equation t 38160n1 [0,0,0,-1227,-18614] 2 38160n2 [0,0,0,-20307,-1113806] 2
38160o (4 curves)	0	2+ 3- 5- 53-	2+ 3- 5-  4  4  2  6  0
Curve Equation t 38160o1 [0,0,0,-20847,1150414] 2 38160o2 [0,0,0,-35427,-666254] 4 38160o3 [0,0,0,136293,-5234006] 2 38160o4 [0,0,0,-440427,-112365254] 2
38160p (1 curve)	2	2- 3+ 5+ 53+	2- 3+ 5+ -1 -3 -2 -6  5
Curve Equation t Generators 38160p1 [0,0,0,-1563,24138] 1 [-11:-200:1]&[21:-24:1]
38160q (1 curve)	0	2- 3+ 5+ 53+	2- 3+ 5+  4 -6  0 -3 -4
Curve Equation t 38160q1 [0,0,0,432,34992] 1
38160r (1 curve)	1	2- 3+ 5+ 53-	2- 3+ 5+ -1 -5 -6  2  1
Curve Equation t Generators 38160r1 [0,0,0,200637,27958338] 1 [1614:67500:1]
38160s (2 curves)	1	2- 3+ 5+ 53-	2- 3+ 5+  2 -2  0  2  4
Curve Equation t Generators 38160s1 [0,0,0,52677,-25796502] 2 [1906580:-4335983:8000] 38160s2 [0,0,0,-1053243,-392740758] 2 [9458:30475:8]
38160t (2 curves)	1	2- 3+ 5+ 53-	2- 3+ 5+  2  4 -6  2  4
Curve Equation t Generators 38160t1 [0,0,0,-488403,131416722] 2 [543:5130:1] 38160t2 [0,0,0,-7815123,8409144978] 2 [203555:125666:125]
38160u (2 curves)	1	2- 3+ 5+ 53-	2- 3+ 5+  2 -4  2  2 -4
Curve Equation t Generators 38160u1 [0,0,0,-2403,-5119902] 2 [19671:2758914:1] 38160u2 [0,0,0,-460323,-118592478] 2 [134955613:18918830582:6859]
38160v (2 curves)	1	2- 3+ 5+ 53-	2- 3+ 5+ -2  0  6 -6 -4
Curve Equation t Generators 38160v1 [0,0,0,-723,-12078] 2 [39:138:1] 38160v2 [0,0,0,-13443,-599742] 2 [463:9614:1]
38160w (1 curve)	1	2- 3+ 5+ 53-	2- 3+ 5+ -4  2 -4 -1  8
Curve Equation t Generators 38160w1 [0,0,0,-648,6588] 1 [6:54:1]
38160x (1 curve)	1	2- 3+ 5- 53+	2- 3+ 5- -1  5 -6 -2  1
Curve Equation t Generators 38160x1 [0,0,0,22293,-1035494] 1 [437:9600:1]
38160y (2 curves)	1	2- 3+ 5- 53+	2- 3+ 5-  2  2  0 -2  4
Curve Equation t Generators 38160y1 [0,0,0,5853,955426] 2 [215:3486:1] 38160y2 [0,0,0,-117027,14545954] 2 [305:2688:1]
38160z (2 curves)	1	2- 3+ 5- 53+	2- 3+ 5-  2  4  2 -2 -4
Curve Equation t Generators 38160z1 [0,0,0,-267,189626] 2 [37:-480:1] 38160z2 [0,0,0,-51147,4392314] 2 [-257:750:1]
38160ba (2 curves)	1	2- 3+ 5- 53+	2- 3+ 5-  2 -4 -6 -2  4
Curve Equation t Generators 38160ba1 [0,0,0,-54267,-4867286] 2 [24623735:225329664:79507] 38160ba2 [0,0,0,-868347,-311449814] 2 [117526205811:-7517380056290:27270901]
38160bb (2 curves)	1	2- 3+ 5- 53+	2- 3+ 5- -2  0  6  6 -4
Curve Equation t Generators 38160bb1 [0,0,0,-6507,326106] 2 [7:530:1] 38160bb2 [0,0,0,-120987,16193034] 2 [63:2970:1]
38160bc (1 curve)	1	2- 3+ 5- 53+	2- 3+ 5- -4 -2 -4  1  8
Curve Equation t Generators 38160bc1 [0,0,0,-72,-244] 1 [10:6:1]
38160bd (1 curve)	0	2- 3+ 5- 53-	2- 3+ 5- -1  3 -2  6  5
Curve Equation t 38160bd1 [0,0,0,-14067,-651726] 1
38160be (1 curve)	0	2- 3+ 5- 53-	2- 3+ 5-  4  6  0  3 -4
Curve Equation t 38160be1 [0,0,0,48,-1296] 1
38160bf (4 curves)	1	2- 3- 5+ 53+	2- 3- 5+  0  0 -2  2 -8
Curve Equation t Generators 38160bf1 [0,0,0,-4323,151522] 2 [17:-288:1] 38160bf2 [0,0,0,-76323,8114722] 4 [-1:2862:1] 38160bf3 [0,0,0,-83523,6491842] 2 [407:6318:1] 38160bf4 [0,0,0,-1221123,519382402] 2 [719:3618:1]
38160bg (1 curve)	1	2- 3- 5+ 53+	2- 3- 5+  2  0  1 -3 -1
Curve Equation t Generators 38160bg1 [0,0,0,176517,53371818] 1 [1877751:96706250:729]
38160bh (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+  2  0 -2  6  2
Curve Equation t Generators 38160bh1 [0,0,0,-603,-1782] 2 [-9:54:1] 38160bh2 [0,0,0,2277,-13878] 2 [87:918:1]
38160bi (1 curve)	1	2- 3- 5+ 53+	2- 3- 5+ -2  4  4 -5  0
Curve Equation t Generators 38160bi1 [0,0,0,-48,-26372] 1 [98:954:1]
38160bj (4 curves)	1	2- 3- 5+ 53+	2- 3- 5+  4  4 -2 -2  0
Curve Equation t Generators 38160bj1 [0,0,0,-130400643,573149229442] 2 [181387141:2957150592:24389] 38160bj2 [0,0,0,-130412163,573042897538] 4 [14426839295929:234354166148718:1939096223] 38160bj3 [0,0,0,-111516483,744914223682] 2 [12015071310524430058056993:1009676275775932200375718750:1086972307243235131103] 38160bj4 [0,0,0,-149492163,394366329538] 2 [4549096527822468831:1158375205117433801246:2877891328503521]
38160bk (4 curves)	1	2- 3- 5+ 53+	2- 3- 5+ -4  4  6  6  0
Curve Equation t Generators 38160bk1 [0,0,0,-19443,92338] 2 [143:486:1] 38160bk2 [0,0,0,-203763,-35260238] 4 [6287:497178:1] 38160bk3 [0,0,0,-100083,-71112782] 2 [13099239441:203675393350:21717639] 38160bk4 [0,0,0,-3256563,-2261972558] 2 [-1010956419:6245198:970299]
38160bl (1 curve)	1	2- 3- 5+ 53+	2- 3- 5+ -5 -5 -2 -8 -3
Curve Equation t Generators 38160bl1 [0,0,0,-1248284163,-16975333143038] 1 [12458981537837101:-142338448345268250:304957115891]
38160bm (2 curves)	0	2- 3- 5+ 53-	2- 3- 5+  0  2  2  0  2
Curve Equation t 38160bm1 [0,0,0,-1443,-46942] 2 38160bm2 [0,0,0,-30243,-2022622] 2
38160bn (2 curves)	0	2- 3- 5+ 53-	2- 3- 5+  0 -4 -4  0  2
Curve Equation t 38160bn1 [0,0,0,-403563,-73557862] 2 38160bn2 [0,0,0,996117,-471346918] 2
38160bo (2 curves)	0	2- 3- 5+ 53-	2- 3- 5+  2 -4  0  4  4
Curve Equation t 38160bo1 [0,0,0,-24483,1323682] 2 38160bo2 [0,0,0,-93603,-9611102] 2
38160bp (4 curves)	2	2- 3- 5+ 53-	2- 3- 5+ -2  0 -4  0 -8
Curve Equation t Generators 38160bp1 [0,0,0,-30243,-1400542] 2 [-137:414:1]&[-79:704:1] 38160bp2 [0,0,0,-185763,29734562] 2 [-191:7632:1]&[-89:6750:1] 38160bp3 [0,0,0,-2233443,-1284725662] 2 [1783:20034:1]&[2737:114480:1] 38160bp4 [0,0,0,-2237763,-1279506238] 2 [-818:1908:1]&[-871:2968:1]
38160bq (1 curve)	0	2- 3- 5- 53+	2- 3- 5- -1 -1 -6  4  1
Curve Equation t 38160bq1 [0,0,0,-15843027,24272672146] 1
38160br (1 curve)	0	2- 3- 5- 53+	2- 3- 5- -1 -5  2  4 -1
Curve Equation t 38160br1 [0,0,0,37204053,63428023514] 1
38160bs (1 curve)	0	2- 3- 5- 53+	2- 3- 5-  2 -2  5  7 -7
Curve Equation t 38160bs1 [0,0,0,393,2306] 1
38160bt (2 curves)	0	2- 3- 5- 53+	2- 3- 5-  2  4 -4  4 -4
Curve Equation t 38160bt1 [0,0,0,-3387,-20374] 2 38160bt2 [0,0,0,-42267,-3340726] 2
38160bu (1 curve)	0	2- 3- 5- 53+	2- 3- 5-  2 -4  0 -5  4
Curve Equation t 38160bu1 [0,0,0,-31872,-2197136] 1
38160bv (1 curve)	0	2- 3- 5- 53+	2- 3- 5-  2 -4 -3  1  1
Curve Equation t 38160bv1 [0,0,0,1293,16306] 1
38160bw (2 curves)	0	2- 3- 5- 53+	2- 3- 5- -2  0  0 -8  0
Curve Equation t 38160bw1 [0,0,0,-1493787,701456074] 2 38160bw2 [0,0,0,-23888667,44940302026] 2
38160bx (2 curves)	0	2- 3- 5- 53+	2- 3- 5- -2  0  5 -3 -5
Curve Equation t 38160bx1 [0,0,0,-1947,-322486] 1 38160bx2 [0,0,0,-421707,-105407494] 1
38160by (2 curves)	0	2- 3- 5- 53+	2- 3- 5-  4  4  4  4  6
Curve Equation t 38160by1 [0,0,0,-19587,-1054334] 2 38160by2 [0,0,0,-15267,-1532126] 2
38160bz (2 curves)	0	2- 3- 5- 53+	2- 3- 5-  4 -6  6  4  6
Curve Equation t 38160bz1 [0,0,0,47733,-176861126] 2 38160bz2 [0,0,0,-4452267,-3534761126] 2
38160ca (2 curves)	0	2- 3- 5- 53+	2- 3- 5- -4  2  6  4 -2
Curve Equation t 38160ca1 [0,0,0,-118587,17660266] 2 38160ca2 [0,0,0,-1961787,1057593706] 2
38160cb (4 curves)	1	2- 3- 5- 53-	2- 3- 5-  0  0 -2 -2  4
Curve Equation t Generators 38160cb1 [0,0,0,8853,98714] 2 [38:700:1] 38160cb2 [0,0,0,-37227,808346] 4 [-113:1890:1] 38160cb3 [0,0,0,-342507,-76549606] 2 [-347:720:1] 38160cb4 [0,0,0,-469227,123582746] 4 [847:18270:1]
38160cc (2 curves)	1	2- 3- 5- 53-	2- 3- 5-  0 -2  4  2 -4
Curve Equation t Generators 38160cc1 [0,0,0,-16707,-1483454] 2 [1175:40014:1] 38160cc2 [0,0,0,-321987,-70293566] 2 [2713763:82690470:2197]
38160cd (4 curves)	1	2- 3- 5- 53-	2- 3- 5-  0  4 -2  2  8
Curve Equation t Generators 38160cd1 [0,0,0,-2266347,-410874086] 2 [-1057:28350:1] 38160cd2 [0,0,0,-28808427,-59456385254] 4 [9807:775390:1] 38160cd3 [0,0,0,-21481707,-90423500006] 4 [70782175331:-12110252343750:2352637] 38160cd4 [0,0,0,-460808427,-3807401985254] 2 [231426213:29941439990:6859]
38160ce (4 curves)	1	2- 3- 5- 53-	2- 3- 5-  0  4  6 -6  0
Curve Equation t Generators 38160ce1 [0,0,0,3093,-42406] 2 [53:520:1] 38160ce2 [0,0,0,-14907,-370006] 4 [143:650:1] 38160ce3 [0,0,0,-112107,14190554] 4 [27595:55978:125] 38160ce4 [0,0,0,-205707,-35896966] 2 [3959:247390:1]
38160cf (2 curves)	1	2- 3- 5- 53-	2- 3- 5- -2  0 -4 -3 -8
Curve Equation t Generators 38160cf1 [0,0,0,-70752,26637104] 1 [745:19683:1] 38160cf2 [0,0,0,629088,-671943184] 1 [6577:536625:1]
38160cg (2 curves)	1	2- 3- 5- 53-	2- 3- 5- -2  0 -6  6  2
Curve Equation t Generators 38160cg1 [0,0,0,-19827,1074546] 2 [87:-90:1] 38160cg2 [0,0,0,-19107,1156194] 2 [63:-450:1]
38160ch (1 curve)	1	2- 3- 5- 53-	2- 3- 5-  3  1 -2 -4 -7
Curve Equation t Generators 38160ch1 [0,0,0,933,-9974] 1 [77:720:1]
38160ci (1 curve)	1	2- 3- 5- 53-	2- 3- 5-  3 -3 -2  4  7
Curve Equation t Generators 38160ci1 [0,0,0,-58467,6313826] 1 [7:2430:1]
38160cj (2 curves)	1	2- 3- 5- 53-	2- 3- 5- -4  2  0 -2  4
Curve Equation t Generators 38160cj1 [0,0,0,494493,-262772894] 2 [407:2430:1] 38160cj2 [0,0,0,-4389987,-3004919966] 2 [-817:6030:1]
38160ck (4 curves)	1	2- 3- 5- 53-	2- 3- 5- -4 -4 -2  2 -4
Curve Equation t Generators 38160ck1 [0,0,0,-1227,11194] 2 [-25:162:1] 38160ck2 [0,0,0,-7707,-251894] 4 [-49:90:1] 38160ck3 [0,0,0,3093,-902054] 4 [311:5490:1] 38160ck4 [0,0,0,-122187,-16439366] 2 [423:2750:1]

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

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