Cremona's table of elliptic curves

14784 = 2⁶ · 3 · 7 · 11

Class	r	Atkin-Lehner	Eigenvalues
14784a (1 curve)	1	2+ 3+ 7+ 11+	2+ 3+  1 7+ 11+ -1  4 -3
Curve Equation t Generators 14784a1 [0,-1,0,-6825,-214767] 1 [859056272:11712209563:3869893]
14784b (1 curve)	1	2+ 3+ 7+ 11+	2+ 3+  1 7+ 11+ -1 -6  7
Curve Equation t Generators 14784b1 [0,-1,0,175,-6951] 1 [880:26093:1]
14784c (4 curves)	1	2+ 3+ 7+ 11+	2+ 3+  2 7+ 11+ -2  2  4
Curve Equation t Generators 14784c1 [0,-1,0,-932,6270] 2 [67:490:1] 14784c2 [0,-1,0,-12937,570505] 4 [-33:980:1] 14784c3 [0,-1,0,-206977,36312673] 4 [363:2980:1] 14784c4 [0,-1,0,-10977,747297] 2 [33:648:1]
14784d (4 curves)	1	2+ 3+ 7+ 11+	2+ 3+ -2 7+ 11+  2 -2  0
Curve Equation t Generators 14784d1 [0,-1,0,-6209,690753] 2 [17:768:1] 14784d2 [0,-1,0,-161089,24883009] 4 [-120:6517:1] 14784d3 [0,-1,0,-224449,3556033] 2 [963:26068:1] 14784d4 [0,-1,0,-2575809,1592036289] 2 [1288:20235:1]
14784e (4 curves)	1	2+ 3+ 7+ 11+	2+ 3+ -2 7+ 11+ -6  6  0
Curve Equation t Generators 14784e1 [0,-1,0,111,-17775] 2 [33:144:1] 14784e2 [0,-1,0,-9569,-348831] 4 [-56:91:1] 14784e3 [0,-1,0,-152129,-22787775] 2 [451:364:1] 14784e4 [0,-1,0,-21889,747649] 2 [296:4485:1]
14784f (2 curves)	0	2+ 3+ 7+ 11-	2+ 3+  0 7+ 11- -6  4 -6
Curve Equation t 14784f1 [0,-1,0,-107233,2590062433] 2 14784f2 [0,-1,0,-28943073,59091007329] 2
14784g (1 curve)	0	2+ 3+ 7+ 11-	2+ 3+ -1 7+ 11- -3  0 -7
Curve Equation t 14784g1 [0,-1,0,-6641,217977] 1
14784h (1 curve)	0	2+ 3+ 7+ 11-	2+ 3+ -1 7+ 11-  5 -4  5
Curve Equation t 14784h1 [0,-1,0,-1,-23] 1
14784i (6 curves)	0	2+ 3+ 7+ 11-	2+ 3+  2 7+ 11-  2  2 -4
Curve Equation t 14784i1 [0,-1,0,-8317,294733] 2 14784i2 [0,-1,0,-8337,293265] 4 14784i3 [0,-1,0,-14817,-218655] 4 14784i4 [0,-1,0,-2177,710913] 2 14784i5 [0,-1,0,-189057,-31547007] 2 14784i6 [0,-1,0,55743,-1756863] 4
14784j (4 curves)	0	2+ 3+ 7+ 11-	2+ 3+ -2 7+ 11-  2  6  0
Curve Equation t 14784j1 [0,-1,0,-1804,-28850] 2 14784j2 [0,-1,0,-2409,-7191] 4 14784j3 [0,-1,0,-23969,1428705] 2 14784j4 [0,-1,0,9471,-66591] 2
14784k (1 curve)	0	2+ 3+ 7+ 11-	2+ 3+  3 7+ 11- -3 -2  3
Curve Equation t 14784k1 [0,-1,0,-89,417] 1
14784l (2 curves)	0	2+ 3+ 7+ 11-	2+ 3+  4 7+ 11-  2  0 -2
Curve Equation t 14784l1 [0,-1,0,-13441,-711167] 2 14784l2 [0,-1,0,-226401,-41386527] 2
14784m (2 curves)	2	2+ 3+ 7+ 11-	2+ 3+ -4 7+ 11- -6  0 -2
Curve Equation t Generators 14784m1 [0,-1,0,55,201] 2 [-1:12:1]&[1:16:1] 14784m2 [0,-1,0,-385,2401] 2 [-21:28:1]&[-11:72:1]
14784n (2 curves)	0	2+ 3+ 7- 11+	2+ 3+  0 7- 11+  2  4  6
Curve Equation t 14784n1 [0,-1,0,-96073,248274313] 2 14784n2 [0,-1,0,-6538113,6377231169] 2
14784o (4 curves)	2	2+ 3+ 7- 11+	2+ 3+ -2 7- 11+ -2 -2 -8
Curve Equation t Generators 14784o1 [0,-1,0,76,78] 2 [3:18:1]&[42:195:8] 14784o2 [0,-1,0,-329,969] 4 [-15:48:1]&[-11:56:1] 14784o3 [0,-1,0,-2849,-56991] 2 [-31:24:1]&[-29:20:1] 14784o4 [0,-1,0,-4289,109473] 4 [-73:168:1]&[-59:392:1]
14784p (1 curve)	0	2+ 3+ 7- 11+	2+ 3+  3 7- 11+  3  4  7
Curve Equation t 14784p1 [0,-1,0,-49,4441] 1
14784q (2 curves)	0	2+ 3+ 7- 11+	2+ 3+  3 7- 11+  7 -6  1
Curve Equation t 14784q1 [0,-1,0,-68969,7069041] 1 14784q2 [0,-1,0,239911,35927937] 1
14784r (4 curves)	1	2+ 3+ 7- 11-	2+ 3+  0 7- 11- -2  0 -2
Curve Equation t Generators 14784r1 [0,-1,0,4927,77505] 2 [35:540:1] 14784r2 [0,-1,0,-23233,691393] 2 [-144:1015:1] 14784r3 [0,-1,0,-52673,-5892159] 2 [515:10164:1] 14784r4 [0,-1,0,-904513,-330783935] 2 [-552:77:1]
14784s (1 curve)	1	2+ 3+ 7- 11-	2+ 3+  1 7- 11-  5 -6  1
Curve Equation t Generators 14784s1 [0,-1,0,-225,3753] 1 [8:49:1]
14784t (4 curves)	1	2+ 3+ 7- 11-	2+ 3+  2 7- 11-  2  2 -4
Curve Equation t Generators 14784t1 [0,-1,0,-12,-210] 2 [548:995:64] 14784t2 [0,-1,0,-617,-5655] 4 [35:120:1] 14784t3 [0,-1,0,-9857,-373407] 2 [343:6040:1] 14784t4 [0,-1,0,-1057,3937] 2 [-32:63:1]
14784u (2 curves)	1	2+ 3+ 7- 11-	2+ 3+ -3 7- 11-  1  0 -5
Curve Equation t Generators 14784u1 [0,-1,0,23,49] 1 [0:7:1] 14784u2 [0,-1,0,-217,-2111] 1 [24:77:1]
14784v (1 curve)	0	2+ 3- 7+ 11+	2+ 3-  1 7+ 11+  1  6 -1
Curve Equation t 14784v1 [0,1,0,55,8511] 1
14784w (4 curves)	0	2+ 3- 7+ 11+	2+ 3-  2 7+ 11+  2  2  4
Curve Equation t 14784w1 [0,1,0,-12,210] 2 14784w2 [0,1,0,-617,5655] 4 14784w3 [0,1,0,-1057,-3937] 2 14784w4 [0,1,0,-9857,373407] 2
14784x (4 curves)	0	2+ 3- 7+ 11+	2+ 3- -2 7+ 11+ -2  6  8
Curve Equation t 14784x1 [0,1,0,-41249,-1080513] 2 14784x2 [0,1,0,-368929,85361471] 4 14784x3 [0,1,0,-5888289,5497645887] 4 14784x4 [0,1,0,-92449,210606911] 2
14784y (2 curves)	1	2+ 3- 7+ 11-	2+ 3-  0 7+ 11-  2  4 -6
Curve Equation t Generators 14784y1 [0,1,0,-96073,-248274313] 2 [1163:34848:1] 14784y2 [0,1,0,-6538113,-6377231169] 2 [-1521:7128:1]
14784z (2 curves)	1	2+ 3- 7+ 11-	2+ 3-  0 7+ 11-  2 -4 -6
Curve Equation t Generators 14784z1 [0,1,0,287,-12673] 2 [41:264:1] 14784z2 [0,1,0,-6753,-205569] 2 [-45:96:1]
14784ba (4 curves)	1	2+ 3- 7+ 11-	2+ 3- -2 7+ 11- -2 -2  8
Curve Equation t Generators 14784ba1 [0,1,0,76,-78] 2 [37:234:1] 14784ba2 [0,1,0,-329,-969] 4 [-14:33:1] 14784ba3 [0,1,0,-4289,-109473] 2 [-38:9:1] 14784ba4 [0,1,0,-2849,56991] 4 [37:60:1]
14784bb (1 curve)	1	2+ 3- 7+ 11-	2+ 3-  3 7+ 11- -1 -4 -3
Curve Equation t Generators 14784bb1 [0,1,0,100631,-6105121] 1 [170:3993:1]
14784bc (1 curve)	1	2+ 3- 7- 11+	2+ 3- -1 7- 11+  1  0 -5
Curve Equation t Generators 14784bc1 [0,1,0,-1881,-36369] 1 [90:729:1]
14784bd (4 curves)	1	2+ 3- 7- 11+	2+ 3-  2 7- 11+ -2 -6  4
Curve Equation t Generators 14784bd1 [0,1,0,223,-705] 2 [8292:95355:64] 14784bd2 [0,1,0,-1057,-7105] 4 [521:11880:1] 14784bd3 [0,1,0,-14497,-676417] 2 [383841:8561960:729] 14784bd4 [0,1,0,-8097,273087] 4 [-93:480:1]
14784be (4 curves)	1	2+ 3- 7- 11+	2+ 3- -2 7- 11+  2  6  0
Curve Equation t Generators 14784be1 [0,1,0,-1804,28850] 2 [29:42:1] 14784be2 [0,1,0,-2409,7191] 4 [-30:231:1] 14784be3 [0,1,0,-23969,-1428705] 2 [-86:63:1] 14784be4 [0,1,0,9471,66591] 2 [42:735:1]
14784bf (4 curves)	1	2+ 3- 7- 11+	2+ 3- -2 7- 11+  6 -2  8
Curve Equation t Generators 14784bf1 [0,1,0,-2347889,-1385510865] 2 [42379:8718528:1] 14784bf2 [0,1,0,-2347969,-1385411809] 4 [1811:17472:1] 14784bf3 [0,1,0,-2560929,-1119339585] 4 [-1302:3087:1] 14784bf4 [0,1,0,-2136289,-1645143169] 2 [14362:140595:8]
14784bg (1 curve)	1	2+ 3- 7- 11+	2+ 3-  3 7- 11+  1 -2 -7
Curve Equation t Generators 14784bg1 [0,1,0,-49,119] 1 [10:27:1]
14784bh (2 curves)	1	2+ 3- 7- 11+	2+ 3- -4 7- 11+ -6  0  2
Curve Equation t Generators 14784bh1 [0,1,0,55,-201] 2 [7:24:1] 14784bh2 [0,1,0,-385,-2401] 2 [-13:24:1]
14784bi (2 curves)	0	2+ 3- 7- 11-	2+ 3-  0 7- 11- -2 -8  6
Curve Equation t 14784bi1 [0,1,0,-33,-1089] 2 14784bi2 [0,1,0,-1793,-29601] 2
14784bj (1 curve)	0	2+ 3- 7- 11-	2+ 3-  1 7- 11-  3  2  5
Curve Equation t 14784bj1 [0,1,0,55,-33] 1
14784bk (1 curve)	0	2+ 3- 7- 11-	2+ 3-  1 7- 11-  3  4 -1
Curve Equation t 14784bk1 [0,1,0,-945,-11529] 1
14784bl (4 curves)	0	2+ 3- 7- 11-	2+ 3-  2 7- 11- -2  2 -4
Curve Equation t 14784bl1 [0,1,0,-932,-6270] 2 14784bl2 [0,1,0,-12937,-570505] 4 14784bl3 [0,1,0,-206977,-36312673] 2 14784bl4 [0,1,0,-10977,-747297] 4
14784bm (6 curves)	0	2+ 3- 7- 11-	2+ 3-  2 7- 11- -6  2 -4
Curve Equation t 14784bm1 [0,1,0,-2177,38367] 2 14784bm2 [0,1,0,-2497,26015] 4 14784bm3 [0,1,0,-18177,-930465] 4 14784bm4 [0,1,0,8063,197087] 2 14784bm5 [0,1,0,-289217,-59962977] 2 14784bm6 [0,1,0,1983,-2861793] 2
14784bn (2 curves)	0	2+ 3- 7- 11-	2+ 3-  4 7- 11-  6 -4  2
Curve Equation t 14784bn1 [0,1,0,-25921,2500127] 2 14784bn2 [0,1,0,-476481,126404127] 2
14784bo (2 curves)	2	2- 3+ 7+ 11+	2- 3+  0 7+ 11+ -2 -8 -6
Curve Equation t Generators 14784bo1 [0,-1,0,-33,1089] 2 [-9:24:1]&[0:33:1] 14784bo2 [0,-1,0,-1793,29601] 2 [-27:240:1]&[-5:196:1]
14784bp (1 curve)	0	2- 3+ 7+ 11+	2- 3+  1 7+ 11+  3  2 -5
Curve Equation t 14784bp1 [0,-1,0,55,33] 1
14784bq (1 curve)	0	2- 3+ 7+ 11+	2- 3+  1 7+ 11+  3  4  1
Curve Equation t 14784bq1 [0,-1,0,-945,11529] 1
14784br (6 curves)	0	2- 3+ 7+ 11+	2- 3+  2 7+ 11+ -6  2  4
Curve Equation t 14784br1 [0,-1,0,-2177,-38367] 2 14784br2 [0,-1,0,-2497,-26015] 4 14784br3 [0,-1,0,-18177,930465] 4 14784br4 [0,-1,0,8063,-197087] 2 14784br5 [0,-1,0,-289217,59962977] 2 14784br6 [0,-1,0,1983,2861793] 2
14784bs (2 curves)	0	2- 3+ 7+ 11+	2- 3+  4 7+ 11+  6 -4 -2
Curve Equation t 14784bs1 [0,-1,0,-25921,-2500127] 2 14784bs2 [0,-1,0,-476481,-126404127] 2
14784bt (1 curve)	1	2- 3+ 7+ 11-	2- 3+ -1 7+ 11-  1  0  5
Curve Equation t Generators 14784bt1 [0,-1,0,-1881,36369] 1 [32:89:1]
14784bu (4 curves)	1	2- 3+ 7+ 11-	2- 3+  2 7+ 11- -2 -6 -4
Curve Equation t Generators 14784bu1 [0,-1,0,223,705] 2 [26:305:8] 14784bu2 [0,-1,0,-1057,7105] 4 [-21:140:1] 14784bu3 [0,-1,0,-8097,-273087] 2 [168:1755:1] 14784bu4 [0,-1,0,-14497,676417] 4 [171:1780:1]
14784bv (4 curves)	1	2- 3+ 7+ 11-	2- 3+ -2 7+ 11-  6 -2 -8
Curve Equation t Generators 14784bv1 [0,-1,0,-2347889,1385510865] 2 [867:924:1] 14784bv2 [0,-1,0,-2347969,1385411809] 4 [-691:51744:1] 14784bv3 [0,-1,0,-2560929,1119339585] 2 [4776:312741:1] 14784bv4 [0,-1,0,-2136289,1645143169] 4 [-664:52635:1]
14784bw (1 curve)	1	2- 3+ 7+ 11-	2- 3+  3 7+ 11-  1 -2  7
Curve Equation t Generators 14784bw1 [0,-1,0,-49,-119] 1 [1080:661:125]
14784bx (2 curves)	1	2- 3+ 7- 11+	2- 3+  0 7- 11+  2 -4  6
Curve Equation t Generators 14784bx1 [0,-1,0,287,12673] 2 [-8:99:1] 14784bx2 [0,-1,0,-6753,205569] 2 [11:364:1]
14784by (4 curves)	1	2- 3+ 7- 11+	2- 3+  2 7- 11+  2 -2  4
Curve Equation t Generators 14784by1 [0,-1,0,28,-102] 2 [74:235:8] 14784by2 [0,-1,0,-217,-935] 4 [-8:15:1] 14784by3 [0,-1,0,-3297,-71775] 2 [67:60:1] 14784by4 [0,-1,0,-1057,12673] 2 [48:265:1]
14784bz (1 curve)	1	2- 3+ 7- 11+	2- 3+  3 7- 11+ -1 -4  3
Curve Equation t Generators 14784bz1 [0,-1,0,100631,6105121] 1 [960:31409:1]
14784ca (1 curve)	0	2- 3+ 7- 11-	2- 3+  1 7- 11-  1  6  1
Curve Equation t 14784ca1 [0,-1,0,55,-8511] 1
14784cb (4 curves)	0	2- 3+ 7- 11-	2- 3+ -2 7- 11- -2  6 -8
Curve Equation t 14784cb1 [0,-1,0,-41249,1080513] 2 14784cb2 [0,-1,0,-368929,-85361471] 4 14784cb3 [0,-1,0,-5888289,-5497645887] 2 14784cb4 [0,-1,0,-92449,-210606911] 4
14784cc (4 curves)	1	2- 3- 7+ 11+	2- 3-  0 7+ 11+ -2  0  2
Curve Equation t Generators 14784cc1 [0,1,0,4927,-77505] 2 [37:396:1] 14784cc2 [0,1,0,-23233,-691393] 2 [-49:576:1] 14784cc3 [0,1,0,-52673,5892159] 2 [303:4224:1] 14784cc4 [0,1,0,-904513,330783935] 2 [527:864:1]
14784cd (1 curve)	1	2- 3- 7+ 11+	2- 3-  1 7+ 11+  5 -6 -1
Curve Equation t Generators 14784cd1 [0,1,0,-225,-3753] 1 [26:93:1]
14784ce (2 curves)	1	2- 3- 7+ 11+	2- 3- -3 7+ 11+  1  0  5
Curve Equation t Generators 14784ce1 [0,1,0,23,-49] 1 [2:3:1] 14784ce2 [0,1,0,-217,2111] 1 [-14:51:1]
14784cf (4 curves)	0	2- 3- 7+ 11-	2- 3-  2 7+ 11-  2 -2 -4
Curve Equation t 14784cf1 [0,1,0,28,102] 2 14784cf2 [0,1,0,-217,935] 4 14784cf3 [0,1,0,-1057,-12673] 2 14784cf4 [0,1,0,-3297,71775] 2
14784cg (1 curve)	0	2- 3- 7+ 11-	2- 3-  3 7+ 11-  3  4 -7
Curve Equation t 14784cg1 [0,1,0,-49,-4441] 1
14784ch (2 curves)	0	2- 3- 7+ 11-	2- 3-  3 7+ 11-  7 -6 -1
Curve Equation t 14784ch1 [0,1,0,-68969,-7069041] 1 14784ch2 [0,1,0,239911,-35927937] 1
14784ci (2 curves)	0	2- 3- 7- 11+	2- 3-  0 7- 11+ -6  4  6
Curve Equation t 14784ci1 [0,1,0,-107233,-2590062433] 2 14784ci2 [0,1,0,-28943073,-59091007329] 2
14784cj (1 curve)	0	2- 3- 7- 11+	2- 3- -1 7- 11+ -3  0  7
Curve Equation t 14784cj1 [0,1,0,-6641,-217977] 1
14784ck (1 curve)	0	2- 3- 7- 11+	2- 3- -1 7- 11+  5 -4 -5
Curve Equation t 14784ck1 [0,1,0,-1,23] 1
14784cl (6 curves)	0	2- 3- 7- 11+	2- 3-  2 7- 11+  2  2  4
Curve Equation t 14784cl1 [0,1,0,-8317,-294733] 2 14784cl2 [0,1,0,-8337,-293265] 4 14784cl3 [0,1,0,-14817,218655] 4 14784cl4 [0,1,0,-2177,-710913] 2 14784cl5 [0,1,0,-189057,31547007] 4 14784cl6 [0,1,0,55743,1756863] 2
14784cm (1 curve)	0	2- 3- 7- 11+	2- 3-  3 7- 11+ -3 -2 -3
Curve Equation t 14784cm1 [0,1,0,-89,-417] 1
14784cn (2 curves)	0	2- 3- 7- 11+	2- 3-  4 7- 11+  2  0  2
Curve Equation t 14784cn1 [0,1,0,-13441,711167] 2 14784cn2 [0,1,0,-226401,41386527] 2
14784co (1 curve)	1	2- 3- 7- 11-	2- 3-  1 7- 11- -1  4  3
Curve Equation t Generators 14784co1 [0,1,0,-6825,214767] 1 [42:63:1]
14784cp (1 curve)	1	2- 3- 7- 11-	2- 3-  1 7- 11- -1 -6 -7
Curve Equation t Generators 14784cp1 [0,1,0,175,6951] 1 [10:99:1]
14784cq (4 curves)	1	2- 3- 7- 11-	2- 3- -2 7- 11-  2 -2  0
Curve Equation t Generators 14784cq1 [0,1,0,-6209,-690753] 2 [133:924:1] 14784cq2 [0,1,0,-161089,-24883009] 4 [-230:231:1] 14784cq3 [0,1,0,-2575809,-1592036289] 2 [1989:34020:1] 14784cq4 [0,1,0,-224449,-3556033] 2 [-401:4704:1]
14784cr (4 curves)	1	2- 3- 7- 11-	2- 3- -2 7- 11- -6  6  0
Curve Equation t Generators 14784cr1 [0,1,0,111,17775] 2 [-3:132:1] 14784cr2 [0,1,0,-9569,348831] 4 [-14:693:1] 14784cr3 [0,1,0,-21889,-747649] 2 [-46:405:1] 14784cr4 [0,1,0,-152129,22787775] 2 [127:2352:1]

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