Cremona's table of elliptic curves

45120 = 2⁶ · 3 · 5 · 47

Class	r	Atkin-Lehner	Eigenvalues
45120a (2 curves)	1	2+ 3+ 5+ 47+	2+ 3+ 5+  0  0 -4  0 -6
Curve Equation t Generators 45120a1 [0,-1,0,-181,-875] 2 [29:132:1] 45120a2 [0,-1,0,-81,-1935] 2 [21:72:1]
45120b (1 curve)	1	2+ 3+ 5+ 47+	2+ 3+ 5+  2 -2  1  2  2
Curve Equation t Generators 45120b1 [0,-1,0,-24261,-1446435] 1 [18892308:197150739:79507]
45120c (1 curve)	1	2+ 3+ 5+ 47+	2+ 3+ 5+ -3  6 -1  3 -3
Curve Equation t Generators 45120c1 [0,-1,0,-7841,1788705] 1 [-71:1408:1]
45120d (4 curves)	0	2+ 3+ 5+ 47-	2+ 3+ 5+  0 -4 -2  6  0
Curve Equation t 45120d1 [0,-1,0,-23521,1396321] 2 45120d2 [0,-1,0,-23841,1356705] 4 45120d3 [0,-1,0,16159,5412705] 2 45120d4 [0,-1,0,-68961,-5239839] 2
45120e (2 curves)	0	2+ 3+ 5+ 47-	2+ 3+ 5+ -2  6 -2  2  0
Curve Equation t 45120e1 [0,-1,0,-321,-6975] 2 45120e2 [0,-1,0,-7841,-264159] 2
45120f (1 curve)	0	2+ 3+ 5+ 47-	2+ 3+ 5+ -5  4  5 -5  1
Curve Equation t 45120f1 [0,-1,0,-16,466] 1
45120g (4 curves)	0	2+ 3+ 5- 47+	2+ 3+ 5-  0  0 -2  2  8
Curve Equation t 45120g1 [0,-1,0,1135,8337] 2 45120g2 [0,-1,0,-5345,77025] 4 45120g3 [0,-1,0,-41345,-3170175] 2 45120g4 [0,-1,0,-73025,7616577] 4
45120h (2 curves)	0	2+ 3+ 5- 47+	2+ 3+ 5- -1  0  1 -3  1
Curve Equation t 45120h1 [0,-1,0,24015,1062225] 1 45120h2 [0,-1,0,-248145,-64201743] 1
45120i (1 curve)	0	2+ 3+ 5- 47+	2+ 3+ 5- -1  0 -1 -1  7
Curve Equation t 45120i1 [0,-1,0,15,-495] 1
45120j (2 curves)	0	2+ 3+ 5- 47+	2+ 3+ 5-  2  6 -5  6 -2
Curve Equation t 45120j1 [0,-1,0,35,127] 1 45120j2 [0,-1,0,-325,-4625] 1
45120k (2 curves)	0	2+ 3+ 5- 47+	2+ 3+ 5-  2 -6  2  2  4
Curve Equation t 45120k1 [0,-1,0,80415,-6253983] 2 45120k2 [0,-1,0,-400865,-55055775] 2
45120l (2 curves)	0	2+ 3+ 5- 47+	2+ 3+ 5- -2  2  2 -6  0
Curve Equation t 45120l1 [0,-1,0,-105,-663] 2 45120l2 [0,-1,0,-1985,-33375] 2
45120m (1 curve)	0	2+ 3+ 5- 47+	2+ 3+ 5-  4 -6 -1  2 -6
Curve Equation t 45120m1 [0,-1,0,-17615,913365] 1
45120n (4 curves)	1	2+ 3+ 5- 47-	2+ 3+ 5-  0  4 -2 -6 -4
Curve Equation t Generators 45120n1 [0,-1,0,-2820,58590] 2 [346:1001:8] 45120n2 [0,-1,0,-2825,58377] 4 [-16:315:1] 45120n3 [0,-1,0,-1025,130017] 4 [-8:371:1] 45120n4 [0,-1,0,-4705,-26975] 2 [-15:200:1]
45120o (1 curve)	1	2+ 3+ 5- 47-	2+ 3+ 5-  1  2  7  1  1
Curve Equation t Generators 45120o1 [0,-1,0,-2305,43777] 1 [17:96:1]
45120p (1 curve)	1	2+ 3+ 5- 47-	2+ 3+ 5-  2  2 -1 -2  2
Curve Equation t Generators 45120p1 [0,-1,0,-5,285] 1 [-4:15:1]
45120q (2 curves)	1	2+ 3+ 5- 47-	2+ 3+ 5- -2 -2  2 -2  4
Curve Equation t Generators 45120q1 [0,-1,0,375,-375] 2 [5:40:1] 45120q2 [0,-1,0,-1505,-1503] 2 [-31:120:1]
45120r (1 curve)	1	2+ 3+ 5- 47-	2+ 3+ 5- -3  2  1  3  3
Curve Equation t Generators 45120r1 [0,-1,0,415,225] 1 [25:160:1]
45120s (4 curves)	1	2+ 3+ 5- 47-	2+ 3+ 5-  4  0 -2  2  4
Curve Equation t Generators 45120s1 [0,-1,0,-20,-2850] 2 [218:1015:8] 45120s2 [0,-1,0,-3145,-65975] 4 [-33:28:1] 45120s3 [0,-1,0,-6145,83425] 4 [267:4172:1] 45120s4 [0,-1,0,-50145,-4305375] 2 [312:3213:1]
45120t (4 curves)	1	2+ 3+ 5- 47-	2+ 3+ 5- -4 -4  2 -2 -4
Curve Equation t Generators 45120t1 [0,-1,0,-76145,-8062095] 2 [17195559:632829504:12167] 45120t2 [0,-1,0,-76225,-8044223] 4 [5609:419520:1] 45120t3 [0,-1,0,-38625,-16022943] 2 [1211262:90636859:216] 45120t4 [0,-1,0,-115105,1077025] 4 [-88:3243:1]
45120u (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+  1  4 -1 -7 -7
Curve Equation t 45120u1 [0,1,0,-249521,-48057585] 1
45120v (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+  1 -4  3 -3  5
Curve Equation t 45120v1 [0,1,0,-881,10575] 1
45120w (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+ -2 -2  5  2  2
Curve Equation t 45120w1 [0,1,0,3819,306675] 1
45120x (2 curves)	0	2+ 3- 5+ 47+	2+ 3- 5+  4  2  0  6 -4
Curve Equation t 45120x1 [0,1,0,-8801,-521985] 2 45120x2 [0,1,0,-164321,-25685121] 2
45120y (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+  5 -4  5 -5 -1
Curve Equation t 45120y1 [0,1,0,-16,-466] 1
45120z (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+ -1  2 -1  3  7
Curve Equation t Generators 45120z1 [0,1,0,479,31295] 1 [131:1536:1]
45120ba (2 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+ -2  2  6 -2  4
Curve Equation t Generators 45120ba1 [0,1,0,1119,-13761] 2 [27:192:1] 45120ba2 [0,1,0,-6401,-135585] 2 [-53:240:1]
45120bb (4 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+  4  0 -6  2 -4
Curve Equation t Generators 45120bb1 [0,1,0,-11281,527375] 2 [721:19176:1] 45120bb2 [0,1,0,-188001,31311999] 4 [20595:492184:27] 45120bb3 [0,1,0,-195521,28663455] 2 [379:3024:1] 45120bb4 [0,1,0,-3008001,2007003999] 2 [13495012454:14689191:13481272]
45120bc (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+ -5 -6 -3 -3  1
Curve Equation t Generators 45120bc1 [0,1,0,-7681,21671519] 1 [-133:4512:1]
45120bd (4 curves)	1	2+ 3- 5- 47+	2+ 3- 5-  0 -4 -2 -6  4
Curve Equation t Generators 45120bd1 [0,1,0,-2820,-58590] 2 [369:7020:1] 45120bd2 [0,1,0,-2825,-58377] 4 [67:240:1] 45120bd3 [0,1,0,-1025,-130017] 2 [506:1995:8] 45120bd4 [0,1,0,-4705,26975] 4 [-70:135:1]
45120be (1 curve)	1	2+ 3- 5- 47+	2+ 3- 5- -1 -2  5  7 -3
Curve Equation t Generators 45120be1 [0,1,0,-26801505,-53427521025] 1 [24915:3840000:1]
45120bf (2 curves)	1	2+ 3- 5- 47+	2+ 3- 5-  2  2  2 -2 -4
Curve Equation t Generators 45120bf1 [0,1,0,375,375] 2 [35:240:1] 45120bf2 [0,1,0,-1505,1503] 2 [-9:120:1]
45120bg (1 curve)	1	2+ 3- 5- 47+	2+ 3- 5-  2 -2 -1 -2  6
Curve Equation t Generators 45120bg1 [0,1,0,-23125,1383773] 1 [-4:1215:1]
45120bh (2 curves)	1	2+ 3- 5- 47+	2+ 3- 5-  2 -2  2 -2  0
Curve Equation t Generators 45120bh1 [0,1,0,-513345,-141756897] 2 [1906690376977995476237965494670801:16580716616931521892745920310542336:2213227266186231983186704245347] 45120bh2 [0,1,0,-8213825,-9063533025] 2 [14286361145431941:248396944238688768:4144574762047]
45120bi (4 curves)	1	2+ 3- 5- 47+	2+ 3- 5-  4  4 -2  2 -8
Curve Equation t Generators 45120bi1 [0,1,0,-1025,-12705] 2 [122537037:-926889984:1685159] 45120bi2 [0,1,0,-2305,23903] 4 [-2236:16065:64] 45120bi3 [0,1,0,7295,179423] 2 [150556:10523799:21952] 45120bi4 [0,1,0,-32385,2231775] 4 [-135:2040:1]
45120bj (4 curves)	1	2+ 3- 5- 47+	2+ 3- 5- -4  0 -2  2 -4
Curve Equation t Generators 45120bj1 [0,1,0,-20,2850] 2 [330:2175:8] 45120bj2 [0,1,0,-3145,65975] 4 [-25:360:1] 45120bj3 [0,1,0,-6145,-83425] 2 [-35:300:1] 45120bj4 [0,1,0,-50145,4305375] 4 [210:1755:1]
45120bk (2 curves)	1	2+ 3- 5- 47+	2+ 3- 5- -4 -2 -4 -2  0
Curve Equation t Generators 45120bk1 [0,1,0,1055,15743] 2 [41:360:1] 45120bk2 [0,1,0,-6625,149375] 2 [115:960:1]
45120bl (1 curve)	1	2+ 3- 5- 47+	2+ 3- 5- -5 -2 -5  5  7
Curve Equation t Generators 45120bl1 [0,1,0,-2994945,2430669663] 1 [9003:839808:1]
45120bm (2 curves)	0	2+ 3- 5- 47-	2+ 3- 5-  0  2  4  2  4
Curve Equation t 45120bm1 [0,1,0,20735,-3455137] 2 45120bm2 [0,1,0,-255745,-45093025] 2
45120bn (4 curves)	0	2+ 3- 5- 47-	2+ 3- 5-  0  4 -2  6  4
Curve Equation t 45120bn1 [0,1,0,-1725,-28125] 2 45120bn2 [0,1,0,-2225,-11025] 4 45120bn3 [0,1,0,8575,-77985] 2 45120bn4 [0,1,0,-21025,1158335] 2
45120bo (2 curves)	0	2+ 3- 5- 47-	2+ 3- 5-  2 -2  2 -6  0
Curve Equation t 45120bo1 [0,1,0,-105,663] 2 45120bo2 [0,1,0,-1985,33375] 2
45120bp (1 curve)	0	2+ 3- 5- 47-	2+ 3- 5- -4  6 -1  2  6
Curve Equation t 45120bp1 [0,1,0,-17615,-913365] 1
45120bq (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+  1 -2 -1  3 -7
Curve Equation t 45120bq1 [0,-1,0,479,-31295] 1
45120br (2 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  2 -2  6 -2 -4
Curve Equation t 45120br1 [0,-1,0,1119,13761] 2 45120br2 [0,-1,0,-6401,135585] 2
45120bs (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+ -3  6  5 -7  7
Curve Equation t 45120bs1 [0,-1,0,-54276,4895010] 1
45120bt (4 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+ -4  0 -6  2  4
Curve Equation t 45120bt1 [0,-1,0,-11281,-527375] 2 45120bt2 [0,-1,0,-188001,-31311999] 4 45120bt3 [0,-1,0,-195521,-28663455] 2 45120bt4 [0,-1,0,-3008001,-2007003999] 2
45120bu (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+  5  6 -3 -3 -1
Curve Equation t 45120bu1 [0,-1,0,-7681,-21671519] 1
45120bv (1 curve)	1	2- 3+ 5+ 47-	2- 3+ 5+  0 -2  1 -2  2
Curve Equation t Generators 45120bv1 [0,-1,0,-131,681] 1 [8:9:1]
45120bw (1 curve)	1	2- 3+ 5+ 47-	2- 3+ 5+ -1  4  3 -3 -5
Curve Equation t Generators 45120bw1 [0,-1,0,-881,-10575] 1 [49:248:1]
45120bx (1 curve)	1	2- 3+ 5+ 47-	2- 3+ 5+ -1 -4 -1 -7  7
Curve Equation t Generators 45120bx1 [0,-1,0,-249521,48057585] 1 [289:8:1]
45120by (1 curve)	1	2- 3+ 5+ 47-	2- 3+ 5+  2  2  5  2 -2
Curve Equation t Generators 45120by1 [0,-1,0,3819,-306675] 1 [331188:4209921:2197]
45120bz (2 curves)	1	2- 3+ 5+ 47-	2- 3+ 5+ -4 -2  0  6  4
Curve Equation t Generators 45120bz1 [0,-1,0,-8801,521985] 2 [13:640:1] 45120bz2 [0,-1,0,-164321,25685121] 2 [43:4324:1]
45120ca (2 curves)	1	2- 3+ 5- 47+	2- 3+ 5-  0 -2  4  2 -4
Curve Equation t Generators 45120ca1 [0,-1,0,20735,3455137] 2 [379:8100:1] 45120ca2 [0,-1,0,-255745,45093025] 2 [-235:9600:1]
45120cb (4 curves)	1	2- 3+ 5- 47+	2- 3+ 5-  0 -4 -2  6 -4
Curve Equation t Generators 45120cb1 [0,-1,0,-1725,28125] 2 [5:140:1] 45120cb2 [0,-1,0,-2225,11025] 4 [0:105:1] 45120cb3 [0,-1,0,8575,77985] 2 [432:9177:1] 45120cb4 [0,-1,0,-21025,-1158335] 2 [-2256:2429:27]
45120cc (2 curves)	0	2- 3+ 5- 47-	2- 3+ 5-  0  4  4  4  2
Curve Equation t 45120cc1 [0,-1,0,120,-378] 2 45120cc2 [0,-1,0,-585,-2775] 2
45120cd (1 curve)	0	2- 3+ 5- 47-	2- 3+ 5-  1  2  5  7  3
Curve Equation t 45120cd1 [0,-1,0,-26801505,53427521025] 1
45120ce (1 curve)	0	2- 3+ 5- 47-	2- 3+ 5-  1 -6 -1 -3  1
Curve Equation t 45120ce1 [0,-1,0,-20,-30] 1
45120cf (1 curve)	0	2- 3+ 5- 47-	2- 3+ 5- -2  2 -1 -2 -6
Curve Equation t 45120cf1 [0,-1,0,-23125,-1383773] 1
45120cg (2 curves)	0	2- 3+ 5- 47-	2- 3+ 5- -2  2  2 -2  0
Curve Equation t 45120cg1 [0,-1,0,-513345,141756897] 2 45120cg2 [0,-1,0,-8213825,9063533025] 2
45120ch (1 curve)	0	2- 3+ 5- 47-	2- 3+ 5- -3  2  1  7 -5
Curve Equation t 45120ch1 [0,-1,0,660,-11430] 1
45120ci (2 curves)	0	2- 3+ 5- 47-	2- 3+ 5-  4  2 -4 -2  0
Curve Equation t 45120ci1 [0,-1,0,1055,-15743] 2 45120ci2 [0,-1,0,-6625,-149375] 2
45120cj (4 curves)	0	2- 3+ 5- 47-	2- 3+ 5- -4 -4 -2  2  8
Curve Equation t 45120cj1 [0,-1,0,-1025,12705] 2 45120cj2 [0,-1,0,-2305,-23903] 4 45120cj3 [0,-1,0,7295,-179423] 4 45120cj4 [0,-1,0,-32385,-2231775] 2
45120ck (1 curve)	0	2- 3+ 5- 47-	2- 3+ 5-  5  2 -5  5 -7
Curve Equation t 45120ck1 [0,-1,0,-2994945,-2430669663] 1
45120cl (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+  0  2  1 -2 -2
Curve Equation t Generators 45120cl1 [0,1,0,-131,-681] 1 [22:87:1]
45120cm (4 curves)	1	2- 3- 5+ 47+	2- 3- 5+  0  4 -2  6  0
Curve Equation t Generators 45120cm1 [0,1,0,-23521,-1396321] 2 [5028450423265:26308699822464:26543596087] 45120cm2 [0,1,0,-23841,-1356705] 4 [4024029:93777984:6859] 45120cm3 [0,1,0,16159,-5412705] 2 [2311:111264:1] 45120cm4 [0,1,0,-68961,5239839] 2 [324090677144522:-4823872181390625:878392183033]
45120cn (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+  2 -6 -2  2  0
Curve Equation t Generators 45120cn1 [0,1,0,-321,6975] 2 [-9:96:1] 45120cn2 [0,1,0,-7841,264159] 2 [-41:720:1]
45120co (2 curves)	0	2- 3- 5+ 47-	2- 3- 5+  0  0 -4  0  6
Curve Equation t 45120co1 [0,1,0,-181,875] 2 45120co2 [0,1,0,-81,1935] 2
45120cp (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+ -2  2  1  2 -2
Curve Equation t 45120cp1 [0,1,0,-24261,1446435] 1
45120cq (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+  3 -6 -1  3  3
Curve Equation t 45120cq1 [0,1,0,-7841,-1788705] 1
45120cr (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+  3 -6  5 -7 -7
Curve Equation t 45120cr1 [0,1,0,-54276,-4895010] 1
45120cs (2 curves)	0	2- 3- 5- 47+	2- 3- 5-  0 -4  4  4 -2
Curve Equation t 45120cs1 [0,1,0,120,378] 2 45120cs2 [0,1,0,-585,2775] 2
45120ct (1 curve)	0	2- 3- 5- 47+	2- 3- 5- -1 -2  7  1 -1
Curve Equation t 45120ct1 [0,1,0,-2305,-43777] 1
45120cu (1 curve)	0	2- 3- 5- 47+	2- 3- 5- -1  6 -1 -3 -1
Curve Equation t 45120cu1 [0,1,0,-20,30] 1
45120cv (1 curve)	0	2- 3- 5- 47+	2- 3- 5- -2 -2 -1 -2 -2
Curve Equation t 45120cv1 [0,1,0,-5,-285] 1
45120cw (1 curve)	0	2- 3- 5- 47+	2- 3- 5-  3 -2  1  3 -3
Curve Equation t 45120cw1 [0,1,0,415,-225] 1
45120cx (1 curve)	0	2- 3- 5- 47+	2- 3- 5-  3 -2  1  7  5
Curve Equation t 45120cx1 [0,1,0,660,11430] 1
45120cy (4 curves)	0	2- 3- 5- 47+	2- 3- 5-  4  4  2 -2  4
Curve Equation t 45120cy1 [0,1,0,-76145,8062095] 2 45120cy2 [0,1,0,-76225,8044223] 4 45120cy3 [0,1,0,-38625,16022943] 4 45120cy4 [0,1,0,-115105,-1077025] 2
45120cz (4 curves)	1	2- 3- 5- 47-	2- 3- 5-  0  0 -2  2 -8
Curve Equation t Generators 45120cz1 [0,1,0,1135,-8337] 2 [31:240:1] 45120cz2 [0,1,0,-5345,-77025] 4 [-62:141:1] 45120cz3 [0,1,0,-41345,3170175] 4 [133:204:1] 45120cz4 [0,1,0,-73025,-7616577] 2 [-158:45:1]
45120da (2 curves)	1	2- 3- 5- 47-	2- 3- 5-  1  0  1 -3 -1
Curve Equation t Generators 45120da1 [0,1,0,24015,-1062225] 1 [75:1080:1] 45120da2 [0,1,0,-248145,64201743] 1 [411:5640:1]
45120db (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  1  0 -1 -1 -7
Curve Equation t Generators 45120db1 [0,1,0,15,495] 1 [3:-24:1]
45120dc (2 curves)	1	2- 3- 5- 47-	2- 3- 5- -2  6  2  2 -4
Curve Equation t Generators 45120dc1 [0,1,0,80415,6253983] 2 [21:2820:1] 45120dc2 [0,1,0,-400865,55055775] 2 [55:5760:1]
45120dd (2 curves)	1	2- 3- 5- 47-	2- 3- 5- -2 -6 -5  6  2
Curve Equation t Generators 45120dd1 [0,1,0,35,-127] 1 [8:27:1] 45120dd2 [0,1,0,-325,4625] 1 [80:705:1]

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