Cremona's table of elliptic curves

115050 = 2 · 3 · 5² · 13 · 59

Class	r	Atkin-Lehner	Eigenvalues
115050a (4 curves)	1	2+ 3+ 5+ 13+ 59+	2+ 3+ 5+  0 -4 13+ -6  0
Curve Equation t Generators 115050a1 [1,1,0,-8125,-231875] 2 [-45:235:1] 115050a2 [1,1,0,-40125,2872125] 4 [-105:2490:1] 115050a3 [1,1,0,37875,12778125] 2 [-25:3450:1] 115050a4 [1,1,0,-630125,192262125] 2 [470:-685:1]
115050b (2 curves)	1	2+ 3+ 5+ 13+ 59+	2+ 3+ 5+  1  3 13+  0  2
Curve Equation t Generators 115050b1 [1,1,0,25350,-1507500] 1 [1740:72030:1] 115050b2 [1,1,0,-663150,-209718000] 1 [1830:67710:1]
115050c (1 curve)	1	2+ 3+ 5+ 13+ 59+	2+ 3+ 5+ -1  0 13+ -4  0
Curve Equation t Generators 115050c1 [1,1,0,-12825,-6922875] 1 [1863655434787:36914502388862:3966822287]
115050d (1 curve)	1	2+ 3+ 5+ 13+ 59+	2+ 3+ 5+  2 -6 13+  2 -3
Curve Equation t Generators 115050d1 [1,1,0,-1515,23805] 1 [31:73:1]
115050e (1 curve)	1	2+ 3+ 5+ 13+ 59+	2+ 3+ 5+ -3  2 13+  6 -6
Curve Equation t Generators 115050e1 [1,1,0,6550,-182250] 1 [62045:1370242:125]
115050f (4 curves)	1	2+ 3+ 5+ 13+ 59+	2+ 3+ 5+ -4 -4 13+  6  8
Curve Equation t Generators 115050f1 [1,1,0,-18800,1056000] 2 [65:305:1] 115050f2 [1,1,0,-306800,65280000] 4 [245:2090:1] 115050f3 [1,1,0,-312800,62586000] 2 [229:1626:1] 115050f4 [1,1,0,-4908800,4184070000] 2 [1279:-624:1]
115050g (2 curves)	0	2+ 3+ 5+ 13- 59+	2+ 3+ 5+  0 -4 13-  0  2
Curve Equation t 115050g1 [1,1,0,4975,-1186875] 2 115050g2 [1,1,0,-142525,-19919375] 2
115050h (4 curves)	1	2+ 3+ 5+ 13- 59-	2+ 3+ 5+  0 -4 13- -6  4
Curve Equation t Generators 115050h1 [1,1,0,-1348275,602020125] 2 [1154:23601:1] 115050h2 [1,1,0,-1348775,601550625] 4 [-560:34655:1] 115050h3 [1,1,0,-950525,964356375] 2 [3811:227681:1] 115050h4 [1,1,0,-1755025,208706875] 2 [-625:32900:1]
115050i (1 curve)	1	2+ 3+ 5+ 13- 59-	2+ 3+ 5+ -1 -5 13-  6 -3
Curve Equation t Generators 115050i1 [1,1,0,-90900,-9254250] 1 [-13580:53665:64]
115050j (2 curves)	1	2+ 3+ 5+ 13- 59-	2+ 3+ 5+  2  4 13- -6 -6
Curve Equation t Generators 115050j1 [1,1,0,300,0] 2 [16:88:1] 115050j2 [1,1,0,-1200,-1500] 2 [-16:126:1]
115050k (1 curve)	1	2+ 3+ 5+ 13- 59-	2+ 3+ 5+  3 -2 13- -2  6
Curve Equation t Generators 115050k1 [1,1,0,-30,60] 1 [-1:10:1]
115050l (1 curve)	1	2+ 3+ 5+ 13- 59-	2+ 3+ 5+ -3 -1 13-  6 -5
Curve Equation t Generators 115050l1 [1,1,0,-7000,-200000] 1 [-45:185:1]
115050m (1 curve)	1	2+ 3+ 5+ 13- 59-	2+ 3+ 5+ -3 -4 13- -1 -2
Curve Equation t Generators 115050m1 [1,1,0,-12120,780480] 1 [-39:1113:1]
115050n (1 curve)	2	2+ 3+ 5- 13+ 59+	2+ 3+ 5- -3  1 13+  2 -2
Curve Equation t Generators 115050n1 [1,1,0,-84325,9392125] 1 [85:-1730:1]&[166:-137:1]
115050o (2 curves)	0	2+ 3+ 5- 13+ 59+	2+ 3+ 5- -3 -3 13+  2 -5
Curve Equation t 115050o1 [1,1,0,-778200,-262641000] 1 115050o2 [1,1,0,-40566325,99427262125] 1
115050p (2 curves)	1	2+ 3+ 5- 13+ 59-	2+ 3+ 5-  0  0 13+  0  4
Curve Equation t Generators 115050p1 [1,1,0,-468195,-123945075] 2 [73995:20090445:1] 115050p2 [1,1,0,-7498595,-7906597875] 2 [131120683331:35582076186581:1771561]
115050q (1 curve)	1	2+ 3+ 5- 13+ 59-	2+ 3+ 5-  3  0 13+ -3  6
Curve Equation t Generators 115050q1 [1,1,0,154875,-8615475] 1 [531:14691:1]
115050r (1 curve)	1	2+ 3+ 5- 13- 59+	2+ 3+ 5-  1 -4 13-  3  6
Curve Equation t Generators 115050r1 [1,1,0,-11075,2482125] 1 [35:-1480:1]
115050s (1 curve)	1	2+ 3+ 5- 13- 59+	2+ 3+ 5-  3 -3 13- -2  6
Curve Equation t Generators 115050s1 [1,1,0,-10689535,-21162758075] 1 [144237629458:13009159997599:15069223]
115050t (1 curve)	1	2+ 3+ 5- 13- 59+	2+ 3+ 5- -3  1 13-  6 -5
Curve Equation t Generators 115050t1 [1,1,0,-290,-300] 1 [-5:-30:1]
115050u (1 curve)	2	2+ 3- 5+ 13+ 59+	2+ 3- 5+ -4  0 13+ -6 -6
Curve Equation t Generators 115050u1 [1,0,1,-1301,-30112] 1 [48:112:1]&[51:166:1]
115050v (1 curve)	1	2+ 3- 5+ 13+ 59-	2+ 3- 5+  1 -3 13+  2  1
Curve Equation t Generators 115050v1 [1,0,1,-155626,-4867852] 1 [-368:1796:1]
115050w (2 curves)	1	2+ 3- 5+ 13+ 59-	2+ 3- 5+ -2  0 13+ -2  8
Curve Equation t Generators 115050w1 [1,0,1,2449,33998] 2 [77:786:1] 115050w2 [1,0,1,-12301,299498] 2 [2964:12667:27]
115050x (1 curve)	1	2+ 3- 5+ 13- 59+	2+ 3- 5+  0  3 13-  2 -3
Curve Equation t Generators 115050x1 [1,0,1,5824,1256498] 1 [83:1479:1]
115050y (1 curve)	1	2+ 3- 5+ 13- 59+	2+ 3- 5+  0 -5 13- -6 -1
Curve Equation t Generators 115050y1 [1,0,1,-302101,-65237152] 1 [691:7142:1]
115050z (1 curve)	1	2+ 3- 5+ 13- 59+	2+ 3- 5+ -1 -3 13-  2 -5
Curve Equation t Generators 115050z1 [1,0,1,-29342651,61022900198] 1 [972:182326:1]
115050ba (2 curves)	1	2+ 3- 5+ 13- 59+	2+ 3- 5+  2  0 13- -6  0
Curve Equation t Generators 115050ba1 [1,0,1,-115276,-207965302] 2 [817:15191:1] 115050ba2 [1,0,1,-6015276,-5635965302] 2 [-1402:7194:1]
115050bb (1 curve)	1	2+ 3- 5+ 13- 59+	2+ 3- 5+  3  3 13- -4 -6
Curve Equation t Generators 115050bb1 [1,0,1,-28501,2831648] 1 [307:4646:1]
115050bc (1 curve)	0	2+ 3- 5+ 13- 59-	2+ 3- 5+  5 -3 13-  6  1
Curve Equation t 115050bc1 [1,0,1,-11236645901,457218739165448] 1
115050bd (1 curve)	1	2+ 3- 5- 13+ 59+	2+ 3- 5-  1  0 13+  4  4
Curve Equation t Generators 115050bd1 [1,0,1,-276576,55972048] 1 [302:-264:1]
115050be (1 curve)	1	2+ 3- 5- 13+ 59+	2+ 3- 5- -3  4 13+  0 -8
Curve Equation t Generators 115050be1 [1,0,1,-191426,-32252452] 1 [2770783392:31739412268:4826809]
115050bf (1 curve)	0	2+ 3- 5- 13+ 59-	2+ 3- 5-  3  0 13+ -7 -2
Curve Equation t 115050bf1 [1,0,1,-16913926,-202059462952] 1
115050bg (2 curves)	0	2+ 3- 5- 13- 59+	2+ 3- 5-  0  0 13-  4  4
Curve Equation t 115050bg1 [1,0,1,-2951,172298] 2 115050bg2 [1,0,1,-67951,6802298] 2
115050bh (1 curve)	1	2+ 3- 5- 13- 59-	2+ 3- 5-  1  3 13-  2  1
Curve Equation t Generators 115050bh1 [1,0,1,-25576,-1532452] 1 [-98:236:1]
115050bi (1 curve)	1	2+ 3- 5- 13- 59-	2+ 3- 5-  3  0 13-  0  0
Curve Equation t Generators 115050bi1 [1,0,1,970549,-905592202] 1 [12174:505901:8]
115050bj (2 curves)	1	2- 3+ 5+ 13+ 59-	2- 3+ 5+  1 -3 13+ -6 -1
Curve Equation t Generators 115050bj1 [1,1,1,-25838,1451531] 1 [-145:1547:1] 115050bj2 [1,1,1,-446213,-114660469] 1 [-385:692:1]
115050bk (1 curve)	1	2- 3+ 5+ 13+ 59-	2- 3+ 5+ -3  0 13+  0  0
Curve Equation t Generators 115050bk1 [1,1,1,38822,-7229209] 1 [169:1963:1]
115050bl (1 curve)	1	2- 3+ 5+ 13- 59+	2- 3+ 5+ -1  0 13- -4  4
Curve Equation t Generators 115050bl1 [1,1,1,-11063,443351] 1 [6478:179755:8]
115050bm (1 curve)	1	2- 3+ 5+ 13- 59+	2- 3+ 5+ -1  1 13-  2  1
Curve Equation t Generators 115050bm1 [1,1,1,-42313,3331031] 1 [115:-8:1]
115050bn (1 curve)	1	2- 3+ 5+ 13- 59+	2- 3+ 5+  3  4 13-  0 -8
Curve Equation t Generators 115050bn1 [1,1,1,-4785638,-4031556469] 1 [531415901766806:7873905744048595:201848801896]
115050bo (4 curves)	0	2- 3+ 5+ 13- 59-	2- 3+ 5+  0  4 13- -2  0
Curve Equation t 115050bo1 [1,1,1,5187,-455469] 2 115050bo2 [1,1,1,-66813,-6071469] 4 115050bo3 [1,1,1,-243813,39594531] 2 115050bo4 [1,1,1,-1041813,-409721469] 2
115050bp (1 curve)	0	2- 3+ 5+ 13- 59-	2- 3+ 5+ -3  0 13-  7 -2
Curve Equation t 115050bp1 [1,1,1,-422848138,-25257432868969] 1
115050bq (1 curve)	0	2- 3+ 5+ 13- 59-	2- 3+ 5+ -3 -3 13- -2  7
Curve Equation t 115050bq1 [1,1,1,-188,-469] 1
115050br (2 curves)	1	2- 3+ 5- 13+ 59+	2- 3+ 5-  0  0 13+ -4  4
Curve Equation t Generators 115050br1 [1,1,1,-118,1331] 2 [5:-33:1] 115050br2 [1,1,1,-2718,53331] 2 [-45:317:1]
115050bs (1 curve)	0	2- 3+ 5- 13+ 59-	2- 3+ 5- -1  3 13+ -2  1
Curve Equation t 115050bs1 [1,1,1,-1023,-12669] 1
115050bt (1 curve)	0	2- 3+ 5- 13- 59+	2- 3+ 5-  4  0 13-  6 -6
Curve Equation t 115050bt1 [1,1,1,-32513,-3763969] 1
115050bu (4 curves)	1	2- 3- 5+ 13+ 59+	2- 3- 5+  0  4 13+ -2  0
Curve Equation t Generators 115050bu1 [1,0,0,-103338,18278292] 2 [30594:979078:27] 115050bu2 [1,0,0,-1843838,963369792] 4 [56511976:247449364:79507] 115050bu3 [1,0,0,-2035588,750719042] 2 [1150289072921022654:-22783687977105042577:804824136401832] 115050bu4 [1,0,0,-29500088,61668838542] 2 [1951030777298052:-7656612544339801:600357185856]
115050bv (1 curve)	1	2- 3- 5+ 13+ 59+	2- 3- 5+ -1 -4 13+ -3  6
Curve Equation t Generators 115050bv1 [1,0,0,-443,19857] 1 [46:-335:1]
115050bw (2 curves)	1	2- 3- 5+ 13+ 59+	2- 3- 5+  2  0 13+ -6  0
Curve Equation t Generators 115050bw1 [1,0,0,-98313,-11881383] 2 [1461774:339389113:27] 115050bw2 [1,0,0,-1573313,-759706383] 2 [15566546622:3613445069989:287496]
115050bx (1 curve)	1	2- 3- 5+ 13+ 59+	2- 3- 5+ -3 -5 13+ -2 -3
Curve Equation t Generators 115050bx1 [1,0,0,-443463,113505417] 1 [-78:12189:1]
115050by (2 curves)	0	2- 3- 5+ 13- 59+	2- 3- 5+ -2  4 13-  2  6
Curve Equation t 115050by1 [1,0,0,-943650888,-11160227740608] 2 115050by2 [1,0,0,-15099426888,-714150219676608] 2
115050bz (2 curves)	0	2- 3- 5+ 13- 59+	2- 3- 5+ -2  4 13- -4  6
Curve Equation t 115050bz1 [1,0,0,-7221188,7576368492] 2 115050bz2 [1,0,0,-116002438,480883587242] 2
115050ca (2 curves)	0	2- 3- 5+ 13- 59+	2- 3- 5+  4  4 13-  4  2
Curve Equation t 115050ca1 [1,0,0,-8188,-491008] 2 115050ca2 [1,0,0,-155688,-23648508] 2
115050cb (1 curve)	1	2- 3- 5+ 13- 59-	2- 3- 5+ -3  0 13-  3  6
Curve Equation t Generators 115050cb1 [1,0,0,3871862,-1084678108] 1 [356:18230:1]
115050cc (1 curve)	0	2- 3- 5- 13+ 59+	2- 3- 5-  3  1 13+ -6 -5
Curve Equation t 115050cc1 [1,0,0,-7263,-22983] 1
115050cd (1 curve)	0	2- 3- 5- 13+ 59+	2- 3- 5- -3 -3 13+  2  6
Curve Equation t 115050cd1 [1,0,0,-267238388,-2644810282608] 1
115050ce (1 curve)	1	2- 3- 5- 13+ 59-	2- 3- 5-  3 -4 13+  1 -2
Curve Equation t Generators 115050ce1 [1,0,0,-303013,98166017] 1 [302:-6001:1]
115050cf (1 curve)	1	2- 3- 5- 13+ 59-	2- 3- 5- -3 -2 13+  2  6
Curve Equation t Generators 115050cf1 [1,0,0,-763,9017] 1 [28:85:1]
115050cg (1 curve)	1	2- 3- 5- 13- 59+	2- 3- 5-  1  0 13-  4  0
Curve Equation t Generators 115050cg1 [1,0,0,-513,-55383] 1 [62:359:1]
115050ch (1 curve)	1	2- 3- 5- 13- 59+	2- 3- 5- -2 -6 13- -2 -3
Curve Equation t Generators 115050ch1 [1,0,0,-37888,3051392] 1 [452:-9076:1]
115050ci (1 curve)	1	2- 3- 5- 13- 59+	2- 3- 5-  3  1 13- -2 -2
Curve Equation t Generators 115050ci1 [1,0,0,-3373,75137] 1 [32:-31:1]
115050cj (1 curve)	1	2- 3- 5- 13- 59+	2- 3- 5-  3  2 13- -6 -6
Curve Equation t Generators 115050cj1 [1,0,0,262,-1458] 1 [134:635:8]
115050ck (2 curves)	1	2- 3- 5- 13- 59+	2- 3- 5-  3 -3 13- -2 -5
Curve Equation t Generators 115050ck1 [1,0,0,-31128,-2101128] 1 [-37114:37682:343] 115050ck2 [1,0,0,-1622653,795418097] 5 [-1438:13199:1]
115050cl (2 curves)	0	2- 3- 5- 13- 59-	2- 3- 5-  0  0 13-  0  4
Curve Equation t 115050cl1 [1,0,0,-11704888,-15469724608] 2 115050cl2 [1,0,0,-187464888,-987949804608] 2

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