Cremona's table of elliptic curves

54990 = 2 · 3² · 5 · 13 · 47

Class	r	Atkin-Lehner	Eigenvalues
54990a (1 curve)	0	2+ 3+ 5+ 13+ 47-	2+ 3+ 5+ -3  1 13+  6  0
Curve Equation t 54990a1 [1,-1,0,-165915,-25978075] 1
54990b (2 curves)	0	2+ 3+ 5+ 13- 47+	2+ 3+ 5+ -2  4 13- -6 -2
Curve Equation t 54990b1 [1,-1,0,-80745,-8794675] 2 54990b2 [1,-1,0,-52665,-15022819] 2
54990c (1 curve)	2	2+ 3+ 5- 13+ 47+	2+ 3+ 5- -5  3 13+ -6 -8
Curve Equation t Generators 54990c1 [1,-1,0,-9,65] 1 [-4:7:1]&[1:-8:1]
54990d (2 curves)	1	2+ 3+ 5- 13+ 47-	2+ 3+ 5-  2  4 13+ -6  2
Curve Equation t Generators 54990d1 [1,-1,0,-7224,381680] 2 [4:592:1] 54990d2 [1,-1,0,-134124,18934460] 2 [239:579:1]
54990e (2 curves)	1	2+ 3+ 5- 13- 47+	2+ 3+ 5- -2  4 13-  2  4
Curve Equation t Generators 54990e1 [1,-1,0,-85659,9631313] 2 [-173:4474:1] 54990e2 [1,-1,0,-131289,-1712305] 2 [-199:4162:1]
54990f (2 curves)	2	2+ 3+ 5- 13- 47-	2+ 3+ 5- -1 -3 13- -6 -4
Curve Equation t Generators 54990f1 [1,-1,0,8286,-11052] 3 [84:-1170:1]&[57:774:1] 54990f2 [1,-1,0,-115089,-15992227] 1 [397:679:1]&[722:-17001:1]
54990g (2 curves)	0	2+ 3- 5+ 13+ 47+	2+ 3- 5+ -2  0 13+  2 -6
Curve Equation t 54990g1 [1,-1,0,23085,-3408075] 2 54990g2 [1,-1,0,-247635,-41904459] 2
54990h (1 curve)	1	2+ 3- 5+ 13+ 47-	2+ 3- 5+  0 -2 13+  7  4
Curve Equation t Generators 54990h1 [1,-1,0,-6795,217971] 1 [43:-84:1]
54990i (1 curve)	2	2+ 3- 5+ 13- 47-	2+ 3- 5+  2 -4 13- -7  0
Curve Equation t Generators 54990i1 [1,-1,0,-990,40450] 1 [-15:235:1]&[70:1405:8]
54990j (4 curves)	2	2+ 3- 5+ 13- 47-	2+ 3- 5+ -4 -4 13-  2  0
Curve Equation t Generators 54990j1 [1,-1,0,68580,28438096] 2 [-157:3791:1]&[-7:5291:1] 54990j2 [1,-1,0,-1083420,403298896] 4 [-1183:5915:1]&[-487:28796:1] 54990j3 [1,-1,0,-3610620,-2170907024] 2 [-903:19228:1]&[84945:3539738:27] 54990j4 [1,-1,0,-16988220,26954772016] 2 [-4723:45008:1]&[1205:90131:1]
54990k (4 curves)	0	2+ 3- 5- 13+ 47-	2+ 3- 5-  0  4 13+ -2  4
Curve Equation t 54990k1 [1,-1,0,79731,15351525] 2 54990k2 [1,-1,0,-657549,170622693] 4 54990k3 [1,-1,0,-3094029,-1935957915] 2 54990k4 [1,-1,0,-10017549,12205710693] 2
54990l (2 curves)	0	2+ 3- 5- 13+ 47-	2+ 3- 5-  2  4 13+ -4 -6
Curve Equation t 54990l1 [1,-1,0,-164979,-87703115] 2 54990l2 [1,-1,0,-4141179,-3236058275] 2
54990m (4 curves)	0	2+ 3- 5- 13+ 47-	2+ 3- 5-  4 -4 13+ -2 -4
Curve Equation t 54990m1 [1,-1,0,-159534,-9984812] 2 54990m2 [1,-1,0,-2106414,-1175387180] 4 54990m3 [1,-1,0,-1666494,-1680679292] 2 54990m4 [1,-1,0,-33696414,-75279209180] 2
54990n (4 curves)	0	2+ 3- 5- 13+ 47-	2+ 3- 5- -4 -4 13+ -2  0
Curve Equation t 54990n1 [1,-1,0,-1916169084,32285331800320] 2 54990n2 [1,-1,0,-1921310064,32103385320748] 4 54990n3 [1,-1,0,-424417914,80830517965978] 2 54990n4 [1,-1,0,-3500457894,-28268383708850] 2
54990o (1 curve)	0	2+ 3- 5- 13+ 47-	2+ 3- 5- -4  6 13+  3  0
Curve Equation t 54990o1 [1,-1,0,-2169,-57875] 1
54990p (2 curves)	0	2+ 3- 5- 13- 47+	2+ 3- 5-  0  4 13-  4  0
Curve Equation t 54990p1 [1,-1,0,-2882349,-1894553307] 2 54990p2 [1,-1,0,-46197549,-120846755547] 2
54990q (2 curves)	0	2+ 3- 5- 13- 47+	2+ 3- 5- -2  0 13-  0  6
Curve Equation t 54990q1 [1,-1,0,-60939,7560945] 2 54990q2 [1,-1,0,-1054989,417308355] 2
54990r (1 curve)	2	2+ 3- 5- 13- 47+	2+ 3- 5- -3 -5 13- -2 -6
Curve Equation t Generators 54990r1 [1,-1,0,-90144,19891008] 1 [24:4200:1]&[-288:4824:1]
54990s (2 curves)	1	2+ 3- 5- 13- 47-	2+ 3- 5-  0 -2 13-  2 -2
Curve Equation t Generators 54990s1 [1,-1,0,-56004,-4983472] 2 [-143:364:1] 54990s2 [1,-1,0,-123684,9459440] 2 [-329:3967:1]
54990t (4 curves)	1	2+ 3- 5- 13- 47-	2+ 3- 5-  2  0 13- -6  2
Curve Equation t Generators 54990t1 [1,-1,0,205866,-12565260] 2 [141:4317:1] 54990t2 [1,-1,0,-877014,-102877452] 2 [-753:11784:1] 54990t3 [1,-1,0,-2377494,1643862708] 6 [198086208:-4472763699:262144] 54990t4 [1,-1,0,-39753774,96482435580] 6 [-969:366672:1]
54990u (2 curves)	1	2+ 3- 5- 13- 47-	2+ 3- 5- -2  0 13- -6 -2
Curve Equation t Generators 54990u1 [1,-1,0,-99,-3807] 2 [27:99:1] 54990u2 [1,-1,0,-4329,-107865] 2 [-39:42:1]
54990v (2 curves)	1	2+ 3- 5- 13- 47-	2+ 3- 5- -2 -2 13-  2 -4
Curve Equation t Generators 54990v1 [1,-1,0,-234,-295052] 2 [293:4826:1] 54990v2 [1,-1,0,-67914,-6697580] 2 [-145:365:1]
54990w (1 curve)	1	2+ 3- 5- 13- 47-	2+ 3- 5- -2  4 13- -7 -4
Curve Equation t Generators 54990w1 [1,-1,0,-72189,16052773] 1 [-313:2969:1]
54990x (2 curves)	1	2+ 3- 5- 13- 47-	2+ 3- 5-  4  0 13-  6 -2
Curve Equation t Generators 54990x1 [1,-1,0,-62649,-1851795] 2 [-69:1497:1] 54990x2 [1,-1,0,236871,-14611347] 2 [237:7284:1]
54990y (4 curves)	1	2+ 3- 5- 13- 47-	2+ 3- 5- -4  0 13-  6  2
Curve Equation t Generators 54990y1 [1,-1,0,-814554,278872308] 2 [-507:23946:1] 54990y2 [1,-1,0,-23634,796608540] 2 [3471:204477:1] 54990y3 [1,-1,0,-65700414,204991132320] 6 [3705:109590:1] 54990y4 [1,-1,0,-65699244,204998797458] 6 [463155:13702164:125]
54990z (2 curves)	0	2- 3+ 5+ 13+ 47+	2- 3+ 5+  2 -4 13+  6  2
Curve Equation t 54990z1 [1,-1,1,-803,-13869] 2 54990z2 [1,-1,1,-14903,-696309] 2
54990ba (1 curve)	1	2- 3+ 5+ 13+ 47-	2- 3+ 5+ -5 -3 13+  6 -8
Curve Equation t Generators 54990ba1 [1,-1,1,-83,-1673] 1 [43:248:1]
54990bb (2 curves)	1	2- 3+ 5+ 13- 47+	2- 3+ 5+ -1  3 13-  6 -4
Curve Equation t Generators 54990bb1 [1,-1,1,-12788,596567] 3 [63:-227:1] 54990bb2 [1,-1,1,74572,223831] 1 [415:9917:1]
54990bc (2 curves)	0	2- 3+ 5+ 13- 47-	2- 3+ 5+ -2 -4 13- -2  4
Curve Equation t 54990bc1 [1,-1,1,-9518,-353543] 2 54990bc2 [1,-1,1,-14588,68281] 2
54990bd (1 curve)	1	2- 3+ 5- 13+ 47+	2- 3+ 5- -3 -1 13+ -6  0
Curve Equation t Generators 54990bd1 [1,-1,1,-1493237,702901261] 1 [1231:26384:1]
54990be (2 curves)	1	2- 3+ 5- 13- 47-	2- 3+ 5- -2 -4 13-  6 -2
Curve Equation t Generators 54990be1 [1,-1,1,-8972,328719] 2 [77:-339:1] 54990be2 [1,-1,1,-5852,558351] 2 [51:-651:1]
54990bf (2 curves)	1	2- 3- 5+ 13+ 47+	2- 3- 5+  4  2 13+  2 -2
Curve Equation t Generators 54990bf1 [1,-1,1,-3755723,-2574452073] 2 [-5643719217943769691427469912704:-57604489811184585046793500488429:4555855054137397417395355648] 54990bf2 [1,-1,1,-13099793,15339998931] 2 [-4659785792726720:-188857136325984099:1357307445248]
54990bg (2 curves)	1	2- 3- 5+ 13+ 47+	2- 3- 5+  4 -2 13+  2 -6
Curve Equation t Generators 54990bg1 [1,-1,1,-1238,12197] 2 [-3:127:1] 54990bg2 [1,-1,1,-18158,946181] 2 [-9:1057:1]
54990bh (2 curves)	0	2- 3- 5+ 13+ 47-	2- 3- 5+  2  4 13+  4 -6
Curve Equation t 54990bh1 [1,-1,1,-56228,-121237113] 2 54990bh2 [1,-1,1,-4032428,-3085891833] 2
54990bi (2 curves)	0	2- 3- 5+ 13+ 47-	2- 3- 5+  4  4 13+  4  4
Curve Equation t 54990bi1 [1,-1,1,8302,58497] 2 54990bi2 [1,-1,1,-33998,498417] 2
54990bj (1 curve)	0	2- 3- 5+ 13- 47+	2- 3- 5+ -1  3 13-  2 -6
Curve Equation t 54990bj1 [1,-1,1,2632,-1876993] 1
54990bk (2 curves)	0	2- 3- 5+ 13- 47+	2- 3- 5+  2  0 13- -4 -6
Curve Equation t 54990bk1 [1,-1,1,-66263,6584267] 2 54990bk2 [1,-1,1,-1060313,420506687] 2
54990bl (2 curves)	0	2- 3- 5+ 13- 47+	2- 3- 5+  2  4 13-  6  6
Curve Equation t 54990bl1 [1,-1,1,-403223,139670831] 2 54990bl2 [1,-1,1,-7171223,7392259631] 2
54990bm (4 curves)	0	2- 3- 5+ 13- 47+	2- 3- 5+  4 -4 13- -2 -4
Curve Equation t 54990bm1 [1,-1,1,-77378,8303937] 4 54990bm2 [1,-1,1,-78098,8142081] 4 54990bm3 [1,-1,1,31882,29170257] 2 54990bm4 [1,-1,1,-199598,-23253519] 2
54990bn (1 curve)	0	2- 3- 5- 13+ 47+	2- 3- 5- -3  3 13+  6  6
Curve Equation t 54990bn1 [1,-1,1,-2418727217,51560389728609] 1
54990bo (4 curves)	1	2- 3- 5- 13+ 47-	2- 3- 5-  0  4 13+  6 -4
Curve Equation t Generators 54990bo1 [1,-1,1,-174587,-4154389] 2 [441:1894:1] 54990bo2 [1,-1,1,-1765067,898602059] 4 [-1383:27016:1] 54990bo3 [1,-1,1,-775247,1899903971] 2 [-1289:28144:1] 54990bo4 [1,-1,1,-28202567,57654627059] 2 [3067:-1484:1]
54990bp (1 curve)	1	2- 3- 5- 13+ 47-	2- 3- 5- -1 -3 13+ -2  2
Curve Equation t Generators 54990bp1 [1,-1,1,72401683,730050816341] 1 [-5169:469144:1]
54990bq (2 curves)	1	2- 3- 5- 13- 47+	2- 3- 5-  0  4 13- -2  6
Curve Equation t Generators 54990bq1 [1,-1,1,-7785572,8363254151] 2 [188145:815657:125] 54990bq2 [1,-1,1,-7486052,9036095879] 2 [1197:41701:1]
54990br (2 curves)	1	2- 3- 5- 13- 47+	2- 3- 5-  2  0 13- -3 -4
Curve Equation t Generators 54990br1 [1,-1,1,-5072,-139381] 1 [99:517:1] 54990br2 [1,-1,1,18193,-712969] 3 [39:214:1]
54990bs (2 curves)	0	2- 3- 5- 13- 47-	2- 3- 5-  0  6 13- -6 -2
Curve Equation t 54990bs1 [1,-1,1,-24962,1523549] 2 54990bs2 [1,-1,1,-29192,975341] 2
54990bt (2 curves)	0	2- 3- 5- 13- 47-	2- 3- 5- -2  2 13-  6  0
Curve Equation t 54990bt1 [1,-1,1,193,-6109] 2 54990bt2 [1,-1,1,-4037,-92401] 2
54990bu (1 curve)	0	2- 3- 5- 13- 47-	2- 3- 5-  4  2 13-  3  0
Curve Equation t 54990bu1 [1,-1,1,45868,1206839] 1
54990bv (2 curves)	0	2- 3- 5- 13- 47-	2- 3- 5-  4  2 13- -6 -2
Curve Equation t 54990bv1 [1,-1,1,-13397,422061] 2 54990bv2 [1,-1,1,-81077,-8538771] 2

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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