Cremona's table of elliptic curves

114800 = 2⁴ · 5² · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
114800a (2 curves)	1	2+ 5+ 7+ 41+	2+  0 5+ 7+  2 -4  4  2
Curve Equation t Generators 114800a1 [0,0,0,-12575,62750] 2 [1:224:1] 114800a2 [0,0,0,49925,500250] 2 [3126:175224:1]
114800b (1 curve)	1	2+ 5+ 7+ 41+	2+  0 5+ 7+ -4 -4 -2 -7
Curve Equation t Generators 114800b1 [0,0,0,-374300,88145500] 1 [345:275:1]
114800c (1 curve)	1	2+ 5+ 7+ 41+	2+  1 5+ 7+ -6  0  7  0
Curve Equation t Generators 114800c1 [0,1,0,-2808,46388] 1 [19:16:1]
114800d (2 curves)	1	2+ 5+ 7+ 41+	2+  2 5+ 7+ -2  0  6 -6
Curve Equation t Generators 114800d1 [0,-1,0,-18408,-930688] 2 [1546:13125:8] 114800d2 [0,-1,0,-43408,2169312] 2 [1653:66666:1]
114800e (1 curve)	1	2+ 5+ 7+ 41+	2+  2 5+ 7+  3  4  0 -6
Curve Equation t Generators 114800e1 [0,-1,0,132292,-2794213] 1 [15931854631097171873:667657080377830674651:9486525608412371]
114800f (1 curve)	1	2+ 5+ 7+ 41+	2+ -2 5+ 7+  0  0  4  3
Curve Equation t Generators 114800f1 [0,1,0,-14072633,25257295363] 1 [10225649713598:693336581323825:1647212741]
114800g (1 curve)	1	2+ 5+ 7+ 41+	2+  3 5+ 7+  0  5 -2  7
Curve Equation t Generators 114800g1 [0,0,0,3745625,-23331756250] 1 [3376943547918945152432162145464355070606599069451251139498341025784937168952955477793743551053:2844340307526819706874307157352981058967102447105196113648250744360777983016951328159132010849432:4760049774391850116015171720336778699907969281025746897951671382186333254121710352381373]
114800h (1 curve)	1	2+ 5+ 7+ 41+	2+ -3 5+ 7+  3  5  7 -2
Curve Equation t Generators 114800h1 [0,0,0,-1300,29500] 1 [105:1025:1]
114800i (1 curve)	0	2+ 5+ 7+ 41-	2+ -1 5+ 7+  4 -1  2 -5
Curve Equation t 114800i1 [0,-1,0,-7708,-261088] 1
114800j (1 curve)	2	2+ 5+ 7+ 41-	2+ -1 5+ 7+ -4  1 -2 -1
Curve Equation t Generators 114800j1 [0,-1,0,-8,-128] 1 [6:2:1]&[8:16:1]
114800k (1 curve)	0	2+ 5+ 7+ 41-	2+  2 5+ 7+  4 -4 -4  1
Curve Equation t 114800k1 [0,-1,0,-21033,1266437] 1
114800l (1 curve)	2	2+ 5+ 7- 41+	2+ -1 5+ 7-  0 -3 -2 -1
Curve Equation t Generators 114800l1 [0,-1,0,-8608,310352] 1 [-52:784:1]&[46:98:1]
114800m (4 curves)	1	2+ 5+ 7- 41-	2+  0 5+ 7-  0 -2 -2  0
Curve Equation t Generators 114800m1 [0,0,0,-16775,-836250] 2 [150:150:1] 114800m2 [0,0,0,-17275,-783750] 4 [-75:300:1] 114800m3 [0,0,0,23725,-3940750] 2 [335:6450:1] 114800m4 [0,0,0,-66275,5733250] 2 [-179:3444:1]
114800n (1 curve)	1	2+ 5+ 7- 41-	2+  0 5+ 7- -3 -2 -4  2
Curve Equation t Generators 114800n1 [0,0,0,-141875,20815625] 1 [136:2009:1]
114800o (1 curve)	1	2+ 5+ 7- 41-	2+ -1 5+ 7- -2  7 -2 -5
Curve Equation t Generators 114800o1 [0,-1,0,-628,6272] 1 [16:8:1]
114800p (2 curves)	1	2+ 5+ 7- 41-	2+  2 5+ 7-  0  6 -4 -4
Curve Equation t Generators 114800p1 [0,-1,0,-16408,813312] 2 [-18:1050:1] 114800p2 [0,-1,0,-11408,1313312] 2 [172:2100:1]
114800q (1 curve)	1	2+ 5+ 7- 41-	2+  3 5+ 7-  2 -1 -2 -1
Curve Equation t Generators 114800q1 [0,0,0,785,-16690] 1 [543:2296:27]
114800r (1 curve)	1	2+ 5+ 7- 41-	2+ -3 5+ 7-  0 -5  2 -7
Curve Equation t Generators 114800r1 [0,0,0,-55,-170] 1 [9:8:1]
114800s (1 curve)	0	2+ 5- 7+ 41+	2+  1 5- 7+  0  3  2 -1
Curve Equation t 114800s1 [0,1,0,-215208,38363588] 1
114800t (1 curve)	1	2+ 5- 7+ 41-	2+  0 5- 7+ -3  2  4  2
Curve Equation t Generators 114800t1 [0,0,0,-5675,166525] 1 [60:205:1]
114800u (1 curve)	1	2+ 5- 7+ 41-	2+  1 5- 7+ -2 -7  2 -5
Curve Equation t Generators 114800u1 [0,1,0,-15708,752588] 1 [58:200:1]
114800v (1 curve)	1	2+ 5- 7+ 41-	2+  3 5- 7+  0  5 -2 -7
Curve Equation t Generators 114800v1 [0,0,0,-1375,-21250] 1 [16275:398800:27]
114800w (1 curve)	1	2+ 5- 7+ 41-	2+ -3 5- 7+  2  1  2 -1
Curve Equation t Generators 114800w1 [0,0,0,19625,-2086250] 1 [301:5576:1]
114800x (1 curve)	1	2+ 5- 7- 41+	2+ -2 5- 7-  3 -4  0 -6
Curve Equation t Generators 114800x1 [0,1,0,5292,-20237] 1 [129:1681:1]
114800y (1 curve)	1	2+ 5- 7- 41+	2+ -3 5- 7-  0 -5  2  7
Curve Equation t Generators 114800y1 [0,0,0,149825,-186654050] 1 [601:10976:1]
114800z (1 curve)	0	2+ 5- 7- 41-	2+  1 5- 7-  4  1 -2 -5
Curve Equation t 114800z1 [0,1,0,-308,-2212] 1
114800ba (1 curve)	0	2+ 5- 7- 41-	2+  1 5- 7- -4 -1  2 -1
Curve Equation t 114800ba1 [0,1,0,-208,-16412] 1
114800bb (2 curves)	2	2- 5+ 7+ 41+	2-  0 5+ 7+ -6  0  0  2
Curve Equation t Generators 114800bb1 [0,0,0,-14075,542250] 2 [-115:800:1]&[-19:896:1] 114800bb2 [0,0,0,25925,3062250] 2 [-65:1050:1]&[106:2646:1]
114800bc (1 curve)	0	2- 5+ 7+ 41+	2- -1 5+ 7+  0 -2  5  4
Curve Equation t 114800bc1 [0,-1,0,-1008,8512] 1
114800bd (2 curves)	0	2- 5+ 7+ 41+	2-  2 5+ 7+  6  4  2 -2
Curve Equation t 114800bd1 [0,-1,0,-824608,-287916288] 2 114800bd2 [0,-1,0,-888608,-240556288] 2
114800be (1 curve)	1	2- 5+ 7+ 41-	2-  0 5+ 7+  0 -4 -2 -3
Curve Equation t Generators 114800be1 [0,0,0,35200,222000] 1 [-385:146525:343]
114800bf (2 curves)	1	2- 5+ 7+ 41-	2-  0 5+ 7+ -4 -4  0  4
Curve Equation t Generators 114800bf1 [0,0,0,-1700,-22125] 2 [-31:28:1] 114800bf2 [0,0,0,3425,-129750] 2 [2030:91500:1]
114800bg (2 curves)	1	2- 5+ 7+ 41-	2-  1 5+ 7+ -2 -1 -2  5
Curve Equation t Generators 114800bg1 [0,1,0,11552,-13074572] 1 [319837830:5640921088:857375] 114800bg2 [0,1,0,-3850208,3106313588] 1 [1082:14432:1]
114800bh (1 curve)	1	2- 5+ 7+ 41-	2-  1 5+ 7+  3 -3 -1 -6
Curve Equation t Generators 114800bh1 [0,1,0,-287133,59127863] 1 [307:-82:1]
114800bi (1 curve)	1	2- 5+ 7+ 41-	2-  1 5+ 7+  4  3 -6 -7
Curve Equation t Generators 114800bi1 [0,1,0,72,3668] 1 [22:128:1]
114800bj (1 curve)	1	2- 5+ 7+ 41-	2- -1 5+ 7+  6  4 -7  0
Curve Equation t Generators 114800bj1 [0,-1,0,-8408,-28688] 1 [236:3328:1]
114800bk (1 curve)	1	2- 5+ 7+ 41-	2-  2 5+ 7+  4  0  4 -5
Curve Equation t Generators 114800bk1 [0,-1,0,-133,14637] 1 [1596:40725:343]
114800bl (2 curves)	1	2- 5+ 7+ 41-	2- -2 5+ 7+  4  2  4  8
Curve Equation t Generators 114800bl1 [0,1,0,-15408,-720812] 2 [-78:112:1] 114800bl2 [0,1,0,4592,-2440812] 2 [172:1862:1]
114800bm (1 curve)	1	2- 5+ 7+ 41-	2- -3 5+ 7+  2 -1  6  1
Curve Equation t Generators 114800bm1 [0,0,0,-475,5770] 1 [29:128:1]
114800bn (2 curves)	1	2- 5+ 7- 41+	2-  0 5+ 7-  2 -2 -2  6
Curve Equation t Generators 114800bn1 [0,0,0,-1300,6375] 2 [-15:150:1] 114800bn2 [0,0,0,4825,49250] 2 [370:4875:8]
114800bo (2 curves)	1	2- 5+ 7- 41+	2-  0 5+ 7-  2  6  6 -4
Curve Equation t Generators 114800bo1 [0,0,0,1325,-48750] 2 [76168:949719:512] 114800bo2 [0,0,0,-14675,-608750] 2 [606:14596:1]
114800bp (2 curves)	1	2- 5+ 7- 41+	2-  1 5+ 7-  0 -5 -6  1
Curve Equation t Generators 114800bp1 [0,1,0,29792,-1126412] 1 [42:448:1] 114800bp2 [0,1,0,-320208,87773588] 1 [-13866:292096:27]
114800bq (1 curve)	1	2- 5+ 7- 41+	2- -1 5+ 7- -3  1 -1  6
Curve Equation t Generators 114800bq1 [0,-1,0,-72133,82054637] 1 [-388:7175:1]
114800br (1 curve)	1	2- 5+ 7- 41+	2- -1 5+ 7- -6  1  2  3
Curve Equation t Generators 114800br1 [0,-1,0,272,512] 1 [8:-56:1]
114800bs (2 curves)	1	2- 5+ 7- 41+	2-  2 5+ 7-  2 -4 -6  6
Curve Equation t Generators 114800bs1 [0,-1,0,-33808,-909888] 2 [282:3450:1] 114800bs2 [0,-1,0,-289808,59506112] 2 [-104:9408:1]
114800bt (2 curves)	1	2- 5+ 7- 41+	2- -2 5+ 7-  0  4  0 -5
Curve Equation t Generators 114800bt1 [0,1,0,-1533,-34937] 1 [63:350:1] 114800bt2 [0,1,0,12467,525063] 1 [3:750:1]
114800bu (2 curves)	1	2- 5+ 7- 41+	2- -2 5+ 7- -4 -4  2  6
Curve Equation t Generators 114800bu1 [0,1,0,-12671408,-42062736812] 2 [22708:3373450:1] 114800bu2 [0,1,0,-274815408,-1751765904812] 2 [-9678:38912:1]
114800bv (4 curves)	1	2- 5+ 7- 41+	2- -2 5+ 7- -6  4  6 -2
Curve Equation t Generators 114800bv1 [0,1,0,-40203408,-98129976812] 2 [7588:183750:1] 114800bv2 [0,1,0,-40303408,-97617376812] 2 [-3702:29400:1] 114800bv3 [0,1,0,-44809408,-74256196812] 2 [-50226:1393984:27] 114800bv4 [0,1,0,-294809408,1893243803188] 2 [218:1352400:1]
114800bw (1 curve)	1	2- 5+ 7- 41+	2-  3 5+ 7- -4  1 -2  3
Curve Equation t Generators 114800bw1 [0,0,0,18125,5131250] 1 [-842325:952265728:421875]
114800bx (1 curve)	1	2- 5+ 7- 41+	2-  3 5+ 7- -4  6 -3 -4
Curve Equation t Generators 114800bx1 [0,0,0,-16075,784250] 1 [318:20854:27]
114800by (2 curves)	1	2- 5+ 7- 41+	2- -3 5+ 7-  2  0  3  8
Curve Equation t Generators 114800by1 [0,0,0,-7741075,-7631000750] 1 [3321:57344:1] 114800by2 [0,0,0,-3844525075,91751286039250] 1 [23573680863:146152432:658503]
114800bz (2 curves)	0	2- 5+ 7- 41-	2-  1 5+ 7-  0 -2  3  4
Curve Equation t 114800bz1 [0,1,0,-31808,-1585612] 1 114800bz2 [0,1,0,-933808,346914388] 1
114800ca (2 curves)	2	2- 5+ 7- 41-	2- -1 5+ 7- -2 -4 -3  0
Curve Equation t Generators 114800ca1 [0,-1,0,-70008,-6873488] 1 [-132:-224:1]&[-167:364:1] 114800ca2 [0,-1,0,-6314008,6108774512] 1 [658:47314:1]&[1396:3608:1]
114800cb (4 curves)	0	2- 5+ 7- 41-	2- -2 5+ 7-  0 -2  0  4
Curve Equation t 114800cb1 [0,1,0,-28137408,-57457284812] 2 114800cb2 [0,1,0,-28057408,-57800164812] 2 114800cb3 [0,1,0,-31663408,-42151984812] 2 114800cb4 [0,1,0,96336592,-296871984812] 2
114800cc (1 curve)	0	2- 5+ 7- 41-	2-  3 5+ 7- -3  5  3  6
Curve Equation t 114800cc1 [0,0,0,-710800,321638000] 1
114800cd (1 curve)	1	2- 5- 7+ 41+	2-  1 5- 7+ -6 -1 -2  3
Curve Equation t Generators 114800cd1 [0,1,0,6792,77588] 1 [22:488:1]
114800ce (2 curves)	1	2- 5- 7+ 41+	2- -1 5- 7+  0  5  6  1
Curve Equation t Generators 114800ce1 [0,-1,0,1192,-9488] 1 [12:80:1] 114800ce2 [0,-1,0,-12808,707312] 1 [-44:1088:1]
114800cf (1 curve)	1	2- 5- 7+ 41+	2- -3 5- 7+ -4 -1  2  3
Curve Equation t Generators 114800cf1 [0,0,0,725,41050] 1 [21:-256:1]
114800cg (2 curves)	1	2- 5- 7- 41-	2- -1 5- 7- -2  1  2  5
Curve Equation t Generators 114800cg1 [0,-1,0,-154008,24912112] 1 [-308:6560:1] 114800cg2 [0,-1,0,288792,-1634899088] 1 [3492:204800:1]
114800ch (1 curve)	1	2- 5- 7- 41-	2- -1 5- 7-  4 -3  6 -7
Curve Equation t Generators 114800ch1 [0,-1,0,1792,454912] 1 [192:2800:1]
114800ci (1 curve)	1	2- 5- 7- 41-	2-  3 5- 7-  2  1 -6  1
Curve Equation t Generators 114800ci1 [0,0,0,-11875,721250] 1 [75:22400:27]

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