Cremona's table of elliptic curves

77550 = 2 · 3 · 5² · 11 · 47

Class	r	Atkin-Lehner	Eigenvalues
77550a (2 curves)	1	2+ 3+ 5+ 11+ 47+	2+ 3+ 5+  1 11+ -5  0 -4
Curve Equation t Generators 77550a1 [1,1,0,-41255,-3141195] 1 [-101:140:1] 77550a2 [1,1,0,-3312455,-2321835435] 1 [-96430574471:48192639171:91733851]
77550b (1 curve)	0	2+ 3+ 5+ 11+ 47-	2+ 3+ 5+  2 11+  4  7  4
Curve Equation t 77550b1 [1,1,0,-7700,258000] 1
77550c (4 curves)	2	2+ 3+ 5+ 11+ 47-	2+ 3+ 5+ -2 11+ -2 -6  2
Curve Equation t Generators 77550c1 [1,1,0,-76750,7976500] 2 [-180:4090:1]&[-135:4055:1] 77550c2 [1,1,0,11250,25312500] 2 [-220:3610:1]&[-125:4750:1] 77550c3 [1,1,0,-766750,-255633500] 2 [-505:2015:1]&[-480:1690:1] 77550c4 [1,1,0,-101250,-683550000] 2 [1800:-71400:1]&[954:8970:1]
77550d (1 curve)	2	2+ 3+ 5+ 11- 47+	2+ 3+ 5+ -3 11- -1 -8  4
Curve Equation t Generators 77550d1 [1,1,0,-10950,-444750] 1 [-61:60:1]&[-59:46:1]
77550e (1 curve)	0	2+ 3+ 5+ 11- 47+	2+ 3+ 5+  5 11-  3  6 -4
Curve Equation t 77550e1 [1,1,0,-103450,4436500] 1
77550f (1 curve)	1	2+ 3+ 5+ 11- 47-	2+ 3+ 5+  0 11-  3 -2  5
Curve Equation t Generators 77550f1 [1,1,0,50925,-3022875] 1 [24555:465501:125]
77550g (4 curves)	1	2+ 3+ 5+ 11- 47-	2+ 3+ 5+  0 11- -6 -2  8
Curve Equation t Generators 77550g1 [1,1,0,-233150,-94255500] 2 [44605236:-763946906:59319] 77550g2 [1,1,0,-4841150,-4098607500] 4 [-34908:-14578:27] 77550g3 [1,1,0,-5969150,-2046775500] 2 [-396:16170:1] 77550g4 [1,1,0,-77441150,-262336807500] 2 [-47056569:23400371:9261]
77550h (1 curve)	1	2+ 3+ 5+ 11- 47-	2+ 3+ 5+ -3 11- -3 -2 -4
Curve Equation t Generators 77550h1 [1,1,0,-205,1045] 1 [9:1:1]
77550i (1 curve)	1	2+ 3+ 5+ 11- 47-	2+ 3+ 5+  4 11-  3 -6  1
Curve Equation t Generators 77550i1 [1,1,0,-9079075,27502202125] 1 [-521:179401:1]
77550j (1 curve)	0	2+ 3+ 5- 11+ 47+	2+ 3+ 5- -2 11+  1  0 -3
Curve Equation t 77550j1 [1,1,0,-2674700,1827972750] 1
77550k (2 curves)	0	2+ 3+ 5- 11+ 47+	2+ 3+ 5- -2 11+  2  6  8
Curve Equation t 77550k1 [1,1,0,-1167655,396505525] 2 77550k2 [1,1,0,-5673255,-4843507275] 2
77550l (2 curves)	0	2+ 3+ 5- 11+ 47+	2+ 3+ 5-  4 11+  2 -6 -4
Curve Equation t 77550l1 [1,1,0,83050,-5203500] 2 77550l2 [1,1,0,-386950,-45153500] 2
77550m (1 curve)	0	2+ 3- 5+ 11+ 47+	2+ 3- 5+  1 11+  1 -4  4
Curve Equation t 77550m1 [1,0,1,-1951,-33262] 1
77550n (1 curve)	0	2+ 3- 5+ 11+ 47+	2+ 3- 5+ -2 11+  0 -5 -8
Curve Equation t 77550n1 [1,0,1,-19001,-1426852] 1
77550o (2 curves)	2	2+ 3- 5+ 11+ 47+	2+ 3- 5+ -2 11+  2 -6 -6
Curve Equation t Generators 77550o1 [1,0,1,-29376,1934398] 2 [-178:1326:1]&[92:66:1] 77550o2 [1,0,1,-23876,2682398] 2 [-93:-1979:1]&[-163:1581:1]
77550p (1 curve)	0	2+ 3- 5+ 11+ 47+	2+ 3- 5+  4 11+ -4  3 -6
Curve Equation t 77550p1 [1,0,1,-1989301,2063085248] 1
77550q (1 curve)	1	2+ 3- 5+ 11- 47+	2+ 3- 5+ -1 11- -1  6 -2
Curve Equation t Generators 77550q1 [1,0,1,-78876,8535898] 1 [497:9351:1]
77550r (1 curve)	0	2+ 3- 5+ 11- 47-	2+ 3- 5+  0 11-  0 -5 -2
Curve Equation t 77550r1 [1,0,1,-174607401,-900554836052] 1
77550s (1 curve)	0	2+ 3- 5+ 11- 47-	2+ 3- 5+  1 11-  7  6  0
Curve Equation t 77550s1 [1,0,1,-3057201,-1683675452] 1
77550t (1 curve)	0	2+ 3- 5+ 11- 47-	2+ 3- 5+ -2 11-  5  4  3
Curve Equation t 77550t1 [1,0,1,7450299,151972048] 1
77550u (1 curve)	2	2+ 3- 5+ 11- 47-	2+ 3- 5+ -3 11- -5  0  4
Curve Equation t Generators 77550u1 [1,0,1,-2563851,-1563015242] 1 [4958:325557:1]&[-964:4077:1]
77550v (1 curve)	2	2+ 3- 5+ 11- 47-	2+ 3- 5+ -3 11- -5  3 -5
Curve Equation t Generators 77550v1 [1,0,1,-6751,879398] 1 [112:-1294:1]&[-113:506:1]
77550w (1 curve)	0	2+ 3- 5+ 11- 47-	2+ 3- 5+  4 11-  1  6 -3
Curve Equation t 77550w1 [1,0,1,-261,10288] 1
77550x (4 curves)	0	2+ 3- 5+ 11- 47-	2+ 3- 5+  4 11-  2  6  0
Curve Equation t 77550x1 [1,0,1,-16501,-756352] 2 77550x2 [1,0,1,-258501,-50608352] 4 77550x3 [1,0,1,-253001,-52863352] 2 77550x4 [1,0,1,-4136001,-3237913352] 2
77550y (1 curve)	1	2+ 3- 5- 11+ 47+	2+ 3- 5- -2 11+  5  0 -3
Curve Equation t Generators 77550y1 [1,0,1,-2751,55498] 1 [62:321:1]
77550z (1 curve)	1	2+ 3- 5- 11+ 47+	2+ 3- 5- -4 11+  1  2 -1
Curve Equation t Generators 77550z1 [1,0,1,-110826,-14345702] 1 [452:5061:1]
77550ba (1 curve)	2	2+ 3- 5- 11- 47+	2+ 3- 5- -3 11-  1 -3 -5
Curve Equation t Generators 77550ba1 [1,0,1,-2556,52858] 1 [-58:111:1]&[41:-153:1]
77550bb (4 curves)	0	2- 3+ 5+ 11+ 47+	2- 3+ 5+  0 11+  2  2  0
Curve Equation t 77550bb1 [1,1,1,-1776088,-193871719] 2 77550bb2 [1,1,1,-17264088,27436720281] 4 77550bb3 [1,1,1,-6572088,61052368281] 2 77550bb4 [1,1,1,-275764088,1762488720281] 2
77550bc (1 curve)	0	2- 3+ 5+ 11+ 47+	2- 3+ 5+  2 11+ -4 -3  0
Curve Equation t 77550bc1 [1,1,1,187,281] 1
77550bd (2 curves)	0	2- 3+ 5+ 11+ 47+	2- 3+ 5+ -2 11+  4 -3 -4
Curve Equation t 77550bd1 [1,1,1,50474237,-1247650898719] 1 77550bd2 [1,1,1,-7385848138,-244386348076969] 1
77550be (1 curve)	0	2- 3+ 5+ 11+ 47+	2- 3+ 5+  3 11+ -1  2  6
Curve Equation t 77550be1 [1,1,1,1487,2531] 1
77550bf (1 curve)	0	2- 3+ 5+ 11+ 47+	2- 3+ 5+ -4 11+  0  5  2
Curve Equation t 77550bf1 [1,1,1,22087,2653031] 1
77550bg (2 curves)	1	2- 3+ 5+ 11+ 47-	2- 3+ 5+  1 11+  7 -6  2
Curve Equation t Generators 77550bg1 [1,1,1,-51438,4833531] 1 [115:-733:1] 77550bg2 [1,1,1,314187,-3266469] 1 [415:-14308:1]
77550bh (1 curve)	1	2- 3+ 5+ 11+ 47-	2- 3+ 5+  2 11+ -5  0 -3
Curve Equation t Generators 77550bh1 [1,1,1,-68763,6937281] 1 [169:338:1]
77550bi (1 curve)	1	2- 3+ 5+ 11+ 47-	2- 3+ 5+  4 11+ -1 -2 -1
Curve Equation t Generators 77550bi1 [1,1,1,-4433,-116539] 1 [68238:6268379:8]
77550bj (4 curves)	1	2- 3+ 5+ 11- 47+	2- 3+ 5+ -4 11- -6 -6 -4
Curve Equation t Generators 77550bj1 [1,1,1,-44963,-3686719] 2 [-121:82:1] 77550bj2 [1,1,1,-52963,-2294719] 4 [-139:1620:1] 77550bj3 [1,1,1,182037,-16864719] 2 [361:9620:1] 77550bj4 [1,1,1,-415963,101523281] 2 [565:-7158:1]
77550bk (1 curve)	0	2- 3+ 5+ 11- 47-	2- 3+ 5+  0 11- -4 -3  6
Curve Equation t 77550bk1 [1,1,1,740032562,16714145003531] 1
77550bl (2 curves)	0	2- 3+ 5+ 11- 47-	2- 3+ 5+  0 11-  6  2  6
Curve Equation t 77550bl1 [1,1,1,2062,34031] 2 77550bl2 [1,1,1,-11438,304031] 2
77550bm (1 curve)	0	2- 3+ 5+ 11- 47-	2- 3+ 5+ -1 11- -1 -3 -3
Curve Equation t 77550bm1 [1,1,1,-18338,-963469] 1
77550bn (2 curves)	0	2- 3+ 5+ 11- 47-	2- 3+ 5+  2 11-  2  6 -6
Curve Equation t 77550bn1 [1,1,1,-266213,52751531] 2 77550bn2 [1,1,1,-244213,61859531] 2
77550bo (2 curves)	0	2- 3+ 5+ 11- 47-	2- 3+ 5+  4 11-  4 -3  2
Curve Equation t 77550bo1 [1,1,1,-7437838,7804526531] 1 77550bo2 [1,1,1,-5173213,12643844531] 1
77550bp (1 curve)	0	2- 3+ 5- 11+ 47-	2- 3+ 5- -1 11+ -1  4  4
Curve Equation t 77550bp1 [1,1,1,-48763,-4157719] 1
77550bq (1 curve)	2	2- 3+ 5- 11- 47+	2- 3+ 5- -1 11- -7 -6  0
Curve Equation t Generators 77550bq1 [1,1,1,-122288,-13518319] 1 [461:5093:1]&[-235:1637:1]
77550br (1 curve)	0	2- 3+ 5- 11- 47+	2- 3+ 5-  2 11- -5 -4  3
Curve Equation t 77550br1 [1,1,1,298012,1334981] 1
77550bs (1 curve)	0	2- 3+ 5- 11- 47+	2- 3+ 5-  3 11-  5  0  4
Curve Equation t 77550bs1 [1,1,1,-64096263,-195376905219] 1
77550bt (1 curve)	2	2- 3+ 5- 11- 47+	2- 3+ 5- -4 11- -1 -6 -3
Curve Equation t Generators 77550bt1 [1,1,1,-6513,1286031] 1 [-65:1232:1]&[-109:900:1]
77550bu (1 curve)	1	2- 3+ 5- 11- 47-	2- 3+ 5-  3 11- -1  3 -5
Curve Equation t Generators 77550bu1 [1,1,1,-63888,6607281] 1 [-15:2757:1]
77550bv (1 curve)	0	2- 3- 5+ 11+ 47-	2- 3- 5+  0 11+  4  1  6
Curve Equation t 77550bv1 [1,0,0,262,-58908] 1
77550bw (1 curve)	0	2- 3- 5+ 11+ 47-	2- 3- 5+  2 11+ -1  0 -3
Curve Equation t 77550bw1 [1,0,0,-106988,14623782] 1
77550bx (4 curves)	0	2- 3- 5+ 11+ 47-	2- 3- 5+  4 11+ -2  2  4
Curve Equation t 77550bx1 [1,0,0,-46063,-5933383] 2 77550bx2 [1,0,0,-846063,-299533383] 4 77550bx3 [1,0,0,-956063,-216703383] 4 77550bx4 [1,0,0,-13536063,-19169563383] 2
77550by (1 curve)	0	2- 3- 5+ 11- 47+	2- 3- 5+  5 11-  7 -3 -5
Curve Equation t 77550by1 [1,0,0,-40713,-6452583] 1
77550bz (1 curve)	1	2- 3- 5+ 11- 47-	2- 3- 5+  1 11-  5 -7  1
Curve Equation t Generators 77550bz1 [1,0,0,-99438,-26672508] 1 [3792:-234546:1]
77550ca (1 curve)	1	2- 3- 5+ 11- 47-	2- 3- 5+  3 11-  1 -2 -6
Curve Equation t Generators 77550ca1 [1,0,0,-5688,196992] 1 [102:-876:1]
77550cb (2 curves)	1	2- 3- 5- 11+ 47-	2- 3- 5- -1 11+  5  0 -4
Curve Equation t Generators 77550cb1 [1,0,0,-1031388,-390586608] 3 [-648:2724:1] 77550cb2 [1,0,0,-82811388,-290063806608] 1 [-5254:2630:1]
77550cc (2 curves)	1	2- 3- 5- 11+ 47-	2- 3- 5-  2 11+ -2 -6  8
Curve Equation t Generators 77550cc1 [1,0,0,-29191388,49621573392] 2 [1336:113380:1] 77550cc2 [1,0,0,-141831388,-605154746608] 2 [-6664:-206620:1]
77550cd (2 curves)	1	2- 3- 5- 11+ 47-	2- 3- 5- -4 11+ -2  6 -4
Curve Equation t Generators 77550cd1 [1,0,0,3322,-41628] 2 [372:7074:1] 77550cd2 [1,0,0,-15478,-361228] 2 [-58:614:1]
77550ce (1 curve)	1	2- 3- 5- 11- 47+	2- 3- 5-  0 11- -3  2  5
Curve Equation t Generators 77550ce1 [1,0,0,2037,-24183] 1 [72:669:1]
77550cf (1 curve)	1	2- 3- 5- 11- 47+	2- 3- 5-  3 11-  3  2 -4
Curve Equation t Generators 77550cf1 [1,0,0,-5138,140892] 1 [102:774:1]
77550cg (1 curve)	1	2- 3- 5- 11- 47+	2- 3- 5- -4 11- -3  6  1
Curve Equation t Generators 77550cg1 [1,0,0,-363163,220017617] 1 [206:-12511:1]
77550ch (1 curve)	0	2- 3- 5- 11- 47-	2- 3- 5-  3 11-  1  8  4
Curve Equation t 77550ch1 [1,0,0,-438,-3558] 1
77550ci (1 curve)	2	2- 3- 5- 11- 47-	2- 3- 5- -5 11- -3 -6 -4
Curve Equation t Generators 77550ci1 [1,0,0,-4138,35492] 1 [-68:94:1]&[2:-166:1]

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