Cremona's table of elliptic curves

16560 = 2⁴ · 3² · 5 · 23

Class	r	Atkin-Lehner	Eigenvalues
16560a (2 curves)	1	2+ 3+ 5+ 23+	2+ 3+ 5+  0 -4  4  4 -4
Curve Equation t Generators 16560a1 [0,0,0,-123,-518] 2 [-6:2:1] 16560a2 [0,0,0,-243,658] 2 [-9:46:1]
16560b (2 curves)	1	2+ 3+ 5+ 23+	2+ 3+ 5+  2  0 -2  2  4
Curve Equation t Generators 16560b1 [0,0,0,-783,-10098] 2 [1191:5480:27] 16560b2 [0,0,0,-13203,-583902] 2 [177:1620:1]
16560c (2 curves)	1	2+ 3+ 5+ 23+	2+ 3+ 5+  2  0 -2 -6  0
Curve Equation t Generators 16560c1 [0,0,0,297,27702] 2 [-11:152:1] 16560c2 [0,0,0,-12123,497178] 2 [-71:1000:1]
16560d (2 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+ -2  4  2  2  8
Curve Equation t 16560d1 [0,0,0,-18,-17] 2 16560d2 [0,0,0,57,-122] 2
16560e (2 curves)	0	2+ 3+ 5- 23+	2+ 3+ 5- -2 -4  2 -2  8
Curve Equation t 16560e1 [0,0,0,-162,459] 2 16560e2 [0,0,0,513,3294] 2
16560f (2 curves)	1	2+ 3+ 5- 23-	2+ 3+ 5-  0  4  4 -4 -4
Curve Equation t Generators 16560f1 [0,0,0,-1107,13986] 2 [25:44:1] 16560f2 [0,0,0,-2187,-17766] 2 [-15:108:1]
16560g (2 curves)	1	2+ 3+ 5- 23-	2+ 3+ 5-  2  0 -2 -2  4
Curve Equation t Generators 16560g1 [0,0,0,-87,374] 2 [5:8:1] 16560g2 [0,0,0,-1467,21626] 2 [17:40:1]
16560h (2 curves)	1	2+ 3+ 5- 23-	2+ 3+ 5-  2  0 -2  6  0
Curve Equation t Generators 16560h1 [0,0,0,33,-1026] 2 [13:40:1] 16560h2 [0,0,0,-1347,-18414] 2 [-23:20:1]
16560i (2 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+  0  2  0 -6 -8
Curve Equation t 16560i1 [0,0,0,-288363,62154218] 2 16560i2 [0,0,0,-4668483,3882494882] 2
16560j (1 curve)	0	2+ 3- 5+ 23+	2+ 3- 5+  0  2 -5  4  2
Curve Equation t 16560j1 [0,0,0,-3,-623] 1
16560k (6 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+  0 -4 -2 -2 -4
Curve Equation t 16560k1 [0,0,0,-1164378,483603127] 2 16560k2 [0,0,0,-1164423,483563878] 4 16560k3 [0,0,0,-1276923,384496378] 4 16560k4 [0,0,0,-1052643,580119442] 2 16560k5 [0,0,0,-7837923,-8148740222] 2 16560k6 [0,0,0,3484077,2577412978] 2
16560l (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+ -1  0 -4  1  0
Curve Equation t Generators 16560l1 [0,0,0,132,3292] 1 [-7:45:1]
16560m (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+ -1 -6 -2  3  6
Curve Equation t Generators 16560m1 [0,0,0,13212,-76788] 1 [9:207:1]
16560n (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+  2  0  1  0  0
Curve Equation t Generators 16560n1 [0,0,0,-1683,26757] 1 [-44:125:1]
16560o (2 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+ -2 -2  2  8 -4
Curve Equation t Generators 16560o1 [0,0,0,1077,-23222] 2 [29:180:1] 16560o2 [0,0,0,-8643,-254558] 2 [-57:230:1]
16560p (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+  3 -4  0 -3  4
Curve Equation t Generators 16560p1 [0,0,0,68532,30368108] 1 [721:21321:1]
16560q (4 curves)	1	2+ 3- 5- 23+	2+ 3- 5-  0  0 -2  6  0
Curve Equation t Generators 16560q1 [0,0,0,-35607,-16553194] 2 [557:11680:1] 16560q2 [0,0,0,-1216587,-514218166] 4 [-647:1440:1] 16560q3 [0,0,0,-19441587,-32994813166] 2 [5918:243340:1] 16560q4 [0,0,0,-1887267,115818626] 2 [-158:20250:1]
16560r (4 curves)	1	2+ 3- 5- 23+	2+ 3- 5-  0  4  2 -2  0
Curve Equation t Generators 16560r1 [0,0,0,-1047,-13034] 2 [45:176:1] 16560r2 [0,0,0,-1227,-8246] 4 [-22:90:1] 16560r3 [0,0,0,-9507,351106] 2 [-73:810:1] 16560r4 [0,0,0,4173,-61166] 2 [50:522:1]
16560s (1 curve)	1	2+ 3- 5- 23+	2+ 3- 5- -3 -2  2  1 -6
Curve Equation t Generators 16560s1 [0,0,0,-2532,-1463204] 1 [80225:22722939:1]
16560t (1 curve)	1	2+ 3- 5- 23+	2+ 3- 5- -3 -6 -2 -3  6
Curve Equation t Generators 16560t1 [0,0,0,-1812,29756] 1 [25:9:1]
16560u (1 curve)	0	2+ 3- 5- 23-	2+ 3- 5-  2  0  1  4  4
Curve Equation t 16560u1 [0,0,0,33,101] 1
16560v (4 curves)	0	2+ 3- 5- 23-	2+ 3- 5- -4  4  6  2 -4
Curve Equation t 16560v1 [0,0,0,-282,-1469] 2 16560v2 [0,0,0,-1407,19006] 4 16560v3 [0,0,0,-22107,1265146] 2 16560v4 [0,0,0,1293,83266] 4
16560w (2 curves)	2	2+ 3- 5- 23-	2+ 3- 5- -4 -6 -4 -2  0
Curve Equation t Generators 16560w1 [0,0,0,573,17746] 2 [-15:76:1]&[-13:90:1] 16560w2 [0,0,0,-7707,237994] 2 [-87:500:1]&[-22:630:1]
16560x (2 curves)	0	2- 3+ 5+ 23+	2- 3+ 5+  2  2  4 -6  4
Curve Equation t 16560x1 [0,0,0,597,105178] 2 16560x2 [0,0,0,-30123,1954522] 2
16560y (2 curves)	0	2- 3+ 5+ 23+	2- 3+ 5+  2 -4 -2 -6 -2
Curve Equation t 16560y1 [0,0,0,-648,-5597] 2 16560y2 [0,0,0,-10023,-386222] 2
16560z (4 curves)	0	2- 3+ 5+ 23+	2- 3+ 5+  4  0 -4  0  4
Curve Equation t 16560z1 [0,0,0,-60963,-5793502] 2 16560z2 [0,0,0,-62883,-5409118] 2 16560z3 [0,0,0,-99603,2395602] 2 16560z4 [0,0,0,-1205523,508685778] 2
16560ba (2 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+ -2 -6  0 -2  4
Curve Equation t Generators 16560ba1 [0,0,0,-9047403,-13287722598] 2 [32006682:2220451326:4913] 16560ba2 [0,0,0,-155305323,-744899090022] 2 [4095829396082:-267718107139514:248858189]
16560bb (2 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+  4  0  0  4 -8
Curve Equation t Generators 16560bb1 [0,0,0,-1323,-16038] 2 [-26:28:1] 16560bb2 [0,0,0,-5643,147258] 2 [-81:270:1]
16560bc (2 curves)	1	2- 3+ 5- 23+	2- 3+ 5- -2  6  0  2  4
Curve Equation t Generators 16560bc1 [0,0,0,-1005267,492137874] 2 [-167:25600:1] 16560bc2 [0,0,0,-17256147,27588855186] 2 [-743:200000:1]
16560bd (2 curves)	1	2- 3+ 5- 23+	2- 3+ 5-  4  0  0 -4 -8
Curve Equation t Generators 16560bd1 [0,0,0,-147,594] 2 [15:42:1] 16560bd2 [0,0,0,-627,-5454] 2 [-15:24:1]
16560be (2 curves)	0	2- 3+ 5- 23-	2- 3+ 5-  2 -2  4  6  4
Curve Equation t 16560be1 [0,0,0,5373,-2839806] 2 16560be2 [0,0,0,-271107,-52772094] 2
16560bf (2 curves)	0	2- 3+ 5- 23-	2- 3+ 5-  2  4 -2  6 -2
Curve Equation t 16560bf1 [0,0,0,-5832,151119] 2 16560bf2 [0,0,0,-90207,10427994] 2
16560bg (4 curves)	0	2- 3+ 5- 23-	2- 3+ 5-  4  0 -4  0  4
Curve Equation t 16560bg1 [0,0,0,-11067,-88726] 2 16560bg2 [0,0,0,-133947,-18840214] 2 16560bg3 [0,0,0,-548667,156424554] 2 16560bg4 [0,0,0,-565947,146046186] 2
16560bh (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+  0 -2  4 -6  8
Curve Equation t Generators 16560bh1 [0,0,0,-35283,-2561902] 2 [20503:2935674:1] 16560bh2 [0,0,0,-565203,-163551598] 2 [889:6048:1]
16560bi (6 curves)	1	2- 3- 5+ 23+	2- 3- 5+  0  4 -2  6 -4
Curve Equation t Generators 16560bi1 [0,0,0,-60483,6281282] 2 [97:1152:1] 16560bi2 [0,0,0,-993603,381208898] 4 [-1:19550:1] 16560bi3 [0,0,0,-1019523,360270722] 4 [1447:43758:1] 16560bi4 [0,0,0,-15897603,24397514498] 2 [2591:24514:1] 16560bi5 [0,0,0,-3719523,-2365109278] 2 [-1079:19800:1] 16560bi6 [0,0,0,1265757,1745607458] 2 [2188771:138871062:2197]
16560bj (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+  2  2 -2  0 -8
Curve Equation t Generators 16560bj1 [0,0,0,-3279963,-156975958262] 2 [31228453426119409:260314193443713750:5555577996431] 16560bj2 [0,0,0,-456776283,-3710482422518] 2 [339113676913614419117339797:-658363212498563307309382031250:89968568969308625387]
16560bk (1 curve)	1	2- 3- 5+ 23+	2- 3- 5+  2 -4  1  0  4
Curve Equation t Generators 16560bk1 [0,0,0,-93,367] 1 [6:5:1]
16560bl (1 curve)	1	2- 3- 5+ 23+	2- 3- 5+ -3  2 -2 -5  2
Curve Equation t Generators 16560bl1 [0,0,0,4272,-150032] 1 [521:11979:1]
16560bm (4 curves)	1	2- 3- 5+ 23+	2- 3- 5+  4  0  2 -6 -2
Curve Equation t Generators 16560bm1 [0,0,0,-1488,-15037] 2 [181:2376:1] 16560bm2 [0,0,0,4137,-101662] 2 [89672:1253637:512] 16560bm3 [0,0,0,-109488,-13944337] 2 [900757:6976728:2197] 16560bm4 [0,0,0,-109263,-14004502] 2 [5610244565848:43466969720097:13686220288]
16560bn (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+ -4  2  4  6  4
Curve Equation t Generators 16560bn1 [0,0,0,-1803,-53318] 2 [122:1242:1] 16560bn2 [0,0,0,-34923,-2510822] 2 [218:486:1]
16560bo (1 curve)	1	2- 3- 5+ 23+	2- 3- 5+  5 -2 -6 -1 -2
Curve Equation t Generators 16560bo1 [0,0,0,-14448,759728] 1 [-119:891:1]
16560bp (4 curves)	0	2- 3- 5+ 23-	2- 3- 5+  0  4 -2 -2  0
Curve Equation t 16560bp1 [0,0,0,-1803,16058] 2 16560bp2 [0,0,0,-13323,-580678] 4 16560bp3 [0,0,0,-212043,-37582342] 2 16560bp4 [0,0,0,1077,-1770118] 2
16560bq (1 curve)	0	2- 3- 5+ 23-	2- 3- 5+  3 -2 -2  7  6
Curve Equation t 16560bq1 [0,0,0,-7608,357932] 1
16560br (4 curves)	0	2- 3- 5- 23+	2- 3- 5-  0  0  6 -2  0
Curve Equation t 16560br1 [0,0,0,-646707,-355649294] 2 16560br2 [0,0,0,-12443187,-16887236366] 4 16560br3 [0,0,0,-199067187,-1081054609166] 2 16560br4 [0,0,0,-14562867,-10741436174] 2
16560bs (2 curves)	0	2- 3- 5- 23+	2- 3- 5-  0  0 -6 -2 -6
Curve Equation t 16560bs1 [0,0,0,-192,-1001] 2 16560bs2 [0,0,0,33,-3206] 2
16560bt (2 curves)	0	2- 3- 5- 23+	2- 3- 5-  1  0 -4  3  4
Curve Equation t 16560bt1 [0,0,0,528,-3796] 1 16560bt2 [0,0,0,-12432,-539044] 1
16560bu (1 curve)	0	2- 3- 5- 23+	2- 3- 5-  1  6  6 -7 -2
Curve Equation t 16560bu1 [0,0,0,-72,-324] 1
16560bv (2 curves)	0	2- 3- 5- 23+	2- 3- 5-  2  6 -2  0  4
Curve Equation t 16560bv1 [0,0,0,24693,-3524294] 2 16560bv2 [0,0,0,-251787,-42618566] 2
16560bw (1 curve)	0	2- 3- 5- 23+	2- 3- 5- -2  0 -3 -4  4
Curve Equation t 16560bw1 [0,0,0,-657,66231] 1
16560bx (4 curves)	0	2- 3- 5- 23+	2- 3- 5- -4  4  6  2  4
Curve Equation t 16560bx1 [0,0,0,65733,4083626] 2 16560bx2 [0,0,0,-315147,35544314] 4 16560bx3 [0,0,0,-2385147,-1393169686] 2 16560bx4 [0,0,0,-4339227,3477742346] 4
16560by (4 curves)	2	2- 3- 5- 23+	2- 3- 5- -4 -4 -2 -6 -8
Curve Equation t Generators 16560by1 [0,0,0,1293,-1294] 2 [7:90:1]&[17:160:1] 16560by2 [0,0,0,-5187,-10366] 4 [-62:270:1]&[-47:360:1] 16560by3 [0,0,0,-59187,-5529166] 2 [-142:110:1]&[-137:90:1] 16560by4 [0,0,0,-54867,4927826] 4 [-263:1080:1]&[-233:2250:1]
16560bz (1 curve)	0	2- 3- 5- 23+	2- 3- 5-  5  0  4  3  4
Curve Equation t 16560bz1 [0,0,0,6902448,3048337996] 1
16560ca (2 curves)	1	2- 3- 5- 23-	2- 3- 5-  0  2  0 -6 -4
Curve Equation t Generators 16560ca1 [0,0,0,19293,-1063006] 2 [113:1600:1] 16560ca2 [0,0,0,-113187,-10151134] 2 [-223:2000:1]
16560cb (4 curves)	1	2- 3- 5- 23-	2- 3- 5-  0 -4 -6  6 -4
Curve Equation t Generators 16560cb1 [0,0,0,-86907,-9821014] 2 [-88760:95893:512] 16560cb2 [0,0,0,-132987,1726634] 4 [-10:1748:1] 16560cb3 [0,0,0,-1532667,728720426] 4 [167:21850:1] 16560cb4 [0,0,0,529413,13782314] 2 [5750:439508:1]
16560cc (1 curve)	1	2- 3- 5- 23-	2- 3- 5- -1  2 -2 -3  2
Curve Equation t Generators 16560cc1 [0,0,0,1008,-18576] 1 [33:225:1]
16560cd (1 curve)	1	2- 3- 5- 23-	2- 3- 5- -1  4  0 -5  0
Curve Equation t Generators 16560cd1 [0,0,0,-105312,-13154384] 1 [977:28575:1]
16560ce (2 curves)	1	2- 3- 5- 23-	2- 3- 5-  2 -2 -6  4  0
Curve Equation t Generators 16560ce1 [0,0,0,573,47554] 2 [23:270:1] 16560ce2 [0,0,0,-16707,797506] 2 [17:720:1]
16560cf (1 curve)	1	2- 3- 5- 23-	2- 3- 5-  3 -4  0  3  8
Curve Equation t Generators 16560cf1 [0,0,0,-192,2864] 1 [25:117:1]
16560cg (2 curves)	1	2- 3- 5- 23-	2- 3- 5-  4 -6 -1  0 -2
Curve Equation t Generators 16560cg1 [0,0,0,-417,14699] 1 [-22:115:1] 16560cg2 [0,0,0,3723,-379429] 1 [122:1375:1]
16560ch (2 curves)	1	2- 3- 5- 23-	2- 3- 5- -4 -2  0 -2  0
Curve Equation t Generators 16560ch1 [0,0,0,23973,-719606] 2 [1565:62208:1] 16560ch2 [0,0,0,-108507,-6098294] 2 [-118:2250:1]

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