Cremona's table of elliptic curves

114192 = 2⁴ · 3² · 13 · 61

Class	r	Atkin-Lehner	Eigenvalues
114192a (1 curve)	0	2+ 3+ 13+ 61-	2+ 3+  1  0 -2 13+  3 -2
Curve Equation t 114192a1 [0,0,0,-1707,-30982] 1
114192b (1 curve)	2	2+ 3+ 13+ 61-	2+ 3+ -1  0  2 13+ -3 -2
Curve Equation t Generators 114192b1 [0,0,0,-15363,836514] 1 [109:676:1]&[69:324:1]
114192c (2 curves)	0	2+ 3+ 13+ 61-	2+ 3+  2  0  4 13+  6  4
Curve Equation t 114192c1 [0,0,0,81,-10962] 2 114192c2 [0,0,0,-6939,-217350] 2
114192d (2 curves)	2	2+ 3+ 13+ 61-	2+ 3+ -2  0 -4 13+ -6  4
Curve Equation t Generators 114192d1 [0,0,0,9,406] 2 [5:24:1]&[18:80:1] 114192d2 [0,0,0,-771,8050] 2 [-13:126:1]&[11:30:1]
114192e (2 curves)	2	2+ 3- 13+ 61+	2+ 3-  0 -2  0 13+ -2 -4
Curve Equation t Generators 114192e1 [0,0,0,-25815,1711798] 2 [-43:1656:1]&[102:374:1] 114192e2 [0,0,0,-421275,105243226] 2 [-301:14310:1]&[-175:13176:1]
114192f (2 curves)	2	2+ 3- 13+ 61+	2+ 3- -4  2  0 13+ -6  0
Curve Equation t Generators 114192f1 [0,0,0,393,-2090] 2 [6:22:1]&[18:104:1] 114192f2 [0,0,0,-1947,-18470] 2 [-37:54:1]&[-19:108:1]
114192g (2 curves)	1	2+ 3- 13+ 61-	2+ 3-  0  4 -4 13+  4 -2
Curve Equation t Generators 114192g1 [0,0,0,-2415,45646] 2 [30:14:1] 114192g2 [0,0,0,-2955,23722] 2 [3:122:1]
114192h (2 curves)	1	2+ 3- 13+ 61-	2+ 3-  2  2  0 13+  0 -8
Curve Equation t Generators 114192h1 [0,0,0,321,-23650] 2 [250:3960:1] 114192h2 [0,0,0,-10659,-407950] 2 [-53:90:1]
114192i (2 curves)	1	2+ 3- 13+ 61-	2+ 3- -2  0  2 13+  0  4
Curve Equation t Generators 114192i1 [0,0,0,-30846,-2103689] 2 [298534531:-13315232250:148877] 114192i2 [0,0,0,-494751,-133945490] 2 [8021:715500:1]
114192j (2 curves)	1	2+ 3- 13+ 61-	2+ 3- -2 -4 -6 13+  0  4
Curve Equation t Generators 114192j1 [0,0,0,-30846,-2085145] 2 [223:1458:1] 114192j2 [0,0,0,-29631,-2256946] 2 [385:6588:1]
114192k (2 curves)	1	2+ 3- 13+ 61-	2+ 3-  4  0  4 13+  0 -2
Curve Equation t Generators 114192k1 [0,0,0,-2703,-51730] 2 [13030:111746:125] 114192k2 [0,0,0,-7563,186410] 2 [395:7670:1]
114192l (2 curves)	1	2+ 3- 13- 61+	2+ 3-  0  0  0 13-  0  0
Curve Equation t Generators 114192l1 [0,0,0,-2055,-32186] 2 [150:1742:1] 114192l2 [0,0,0,2805,-161462] 2 [51:338:1]
114192m (1 curve)	1	2+ 3- 13- 61+	2+ 3- -1  2  0 13-  1  4
Curve Equation t Generators 114192m1 [0,0,0,-1803,-631334] 1 [95:234:1]
114192n (1 curve)	0	2+ 3- 13- 61-	2+ 3- -1  5 -2 13-  5 -2
Curve Equation t 114192n1 [0,0,0,-588,-14276] 1
114192o (4 curves)	0	2+ 3- 13- 61-	2+ 3-  2  0  4 13- -2 -8
Curve Equation t 114192o1 [0,0,0,-910794,-326410693] 2 114192o2 [0,0,0,-14473839,-21194511730] 4 114192o3 [0,0,0,-14375019,-21498185590] 2 114192o4 [0,0,0,-231581379,-1356449304238] 2
114192p (4 curves)	0	2+ 3- 13- 61-	2+ 3-  2  0  4 13-  6 -4
Curve Equation t 114192p1 [0,0,0,-2154,32515] 2 114192p2 [0,0,0,-9759,-340130] 4 114192p3 [0,0,0,11301,-1607942] 2 114192p4 [0,0,0,-152499,-22921598] 2
114192q (2 curves)	0	2+ 3- 13- 61-	2+ 3-  2  2 -6 13- -6  4
Curve Equation t 114192q1 [0,0,0,-534,115] 2 114192q2 [0,0,0,-5799,-169418] 2
114192r (2 curves)	0	2+ 3- 13- 61-	2+ 3-  2 -2 -2 13-  2  0
Curve Equation t 114192r1 [0,0,0,-534,3287] 2 114192r2 [0,0,0,-3279,-69730] 2
114192s (4 curves)	0	2+ 3- 13- 61-	2+ 3-  2  4 -4 13-  2  4
Curve Equation t 114192s1 [0,0,0,-33114,2287235] 2 114192s2 [0,0,0,-65919,-2994370] 4 114192s3 [0,0,0,230541,-22501438] 4 114192s4 [0,0,0,-887259,-321510022] 2
114192t (2 curves)	0	2+ 3- 13- 61-	2+ 3- -2  2  2 13- -2 -8
Curve Equation t 114192t1 [0,0,0,-1686,-24581] 2 114192t2 [0,0,0,-26391,-1650170] 2
114192u (2 curves)	0	2+ 3- 13- 61-	2+ 3- -2 -2 -2 13- -2  4
Curve Equation t 114192u1 [0,0,0,-133446,18763175] 2 114192u2 [0,0,0,-134031,18590366] 2
114192v (1 curve)	0	2- 3+ 13+ 61+	2- 3+  1  1 -2 13+ -3 -4
Curve Equation t 114192v1 [0,0,0,48,432] 1
114192w (1 curve)	0	2- 3+ 13+ 61+	2- 3+  1 -4 -2 13+ -3  6
Curve Equation t 114192w1 [0,0,0,131988093,40352239793538] 1
114192x (1 curve)	0	2- 3+ 13+ 61+	2- 3+ -1  1  2 13+  3 -4
Curve Equation t 114192x1 [0,0,0,432,-11664] 1
114192y (1 curve)	0	2- 3+ 13+ 61+	2- 3+ -1 -4  2 13+  3  6
Curve Equation t 114192y1 [0,0,0,1187892837,-1089510474425526] 1
114192z (1 curve)	0	2- 3+ 13+ 61+	2- 3+  3 -1 -2 13+ -7 -8
Curve Equation t 114192z1 [0,0,0,-25776,-1592848] 1
114192ba (1 curve)	0	2- 3+ 13+ 61+	2- 3+ -3 -1  2 13+  7 -8
Curve Equation t 114192ba1 [0,0,0,-231984,43006896] 1
114192bb (2 curves)	1	2- 3+ 13+ 61-	2- 3+  2  4  0 13+ -2  4
Curve Equation t Generators 114192bb1 [0,0,0,-6939,283338] 2 [-86:494:1] 114192bb2 [0,0,0,-119259,15850890] 2 [1642:65170:1]
114192bc (2 curves)	1	2- 3+ 13+ 61-	2- 3+ -2  4  0 13+  2  4
Curve Equation t Generators 114192bc1 [0,0,0,-771,-10494] 2 [801:22656:1] 114192bc2 [0,0,0,-13251,-587070] 2 [6434:180481:8]
114192bd (2 curves)	1	2- 3+ 13- 61+	2- 3+  4  2 -4 13-  6 -8
Curve Equation t Generators 114192bd1 [0,0,0,55917,10009170] 2 [627530:44513846:125] 114192bd2 [0,0,0,-497043,114518610] 2 [20095:2846870:1]
114192be (2 curves)	1	2- 3+ 13- 61+	2- 3+ -4  2  4 13- -6 -8
Curve Equation t Generators 114192be1 [0,0,0,6213,-370710] 2 [166:2288:1] 114192be2 [0,0,0,-55227,-4241430] 2 [-129:858:1]
114192bf (2 curves)	0	2- 3+ 13- 61-	2- 3+  4  0 -2 13-  6  0
Curve Equation t 114192bf1 [0,0,0,972,17955] 2 114192bf2 [0,0,0,-7263,190890] 2
114192bg (2 curves)	2	2- 3+ 13- 61-	2- 3+ -4  0  2 13- -6  0
Curve Equation t Generators 114192bg1 [0,0,0,108,-665] 2 [17:78:1]&[113:1206:1] 114192bg2 [0,0,0,-807,-7070] 2 [-22:6:1]&[42:182:1]
114192bh (2 curves)	1	2- 3- 13+ 61+	2- 3-  0  2  4 13+ -2  4
Curve Equation t Generators 114192bh1 [0,0,0,2445,-169166] 2 [3474:72787:8] 114192bh2 [0,0,0,-34995,-2318222] 2 [281:3168:1]
114192bi (2 curves)	1	2- 3- 13+ 61+	2- 3- -2  4  4 13+  6  2
Curve Equation t Generators 114192bi1 [0,0,0,-2331,-43254] 2 [165:2016:1] 114192bi2 [0,0,0,-1611,-70470] 2 [1314:16191:8]
114192bj (2 curves)	1	2- 3- 13+ 61+	2- 3- -2 -4  4 13+  6 -6
Curve Equation t Generators 114192bj1 [0,0,0,-8839971,10116296226] 2 [1710:396:1] 114192bj2 [0,0,0,-8655651,10558332450] 2 [13998:1622412:1]
114192bk (1 curve)	1	2- 3- 13+ 61+	2- 3-  3  2 -4 13+ -7  4
Curve Equation t Generators 114192bk1 [0,0,0,1509,-57782] 1 [197:2808:1]
114192bl (1 curve)	1	2- 3- 13+ 61+	2- 3- -3 -1  2 13+  5  4
Curve Equation t Generators 114192bl1 [0,0,0,-16059,1139434] 1 [-153:122:1]
114192bm (2 curves)	1	2- 3- 13+ 61+	2- 3-  4 -2 -4 13+  2  8
Curve Equation t Generators 114192bm1 [0,0,0,-21603,266861410] 2 [953654065:56325988224:274625] 114192bm2 [0,0,0,-6348963,6069050530] 2 [13985:1628640:1]
114192bn (2 curves)	0	2- 3- 13+ 61-	2- 3-  0  0 -4 13+ -8  2
Curve Equation t 114192bn1 [0,0,0,-821955,106678978] 2 114192bn2 [0,0,0,-7120515,-7238701694] 2
114192bo (2 curves)	0	2- 3- 13+ 61-	2- 3-  0  4 -4 13+ -4 -6
Curve Equation t 114192bo1 [0,0,0,-49035,3505466] 2 114192bo2 [0,0,0,-748875,249429242] 2
114192bp (2 curves)	0	2- 3- 13+ 61-	2- 3-  2  2 -4 13+  4  0
Curve Equation t 114192bp1 [0,0,0,8061,1623170] 2 114192bp2 [0,0,0,-167619,24988610] 2
114192bq (2 curves)	0	2- 3- 13+ 61-	2- 3-  2 -4 -4 13+ -2  6
Curve Equation t 114192bq1 [0,0,0,-4944,4943] 2 114192bq2 [0,0,0,19761,39530] 2
114192br (2 curves)	0	2- 3- 13+ 61-	2- 3- -2 -2 -6 13+  2 -2
Curve Equation t 114192br1 [0,0,0,-1102716,445545279] 2 114192br2 [0,0,0,-935271,585495810] 2
114192bs (1 curve)	0	2- 3- 13+ 61-	2- 3- -3  3  2 13+  5 -8
Curve Equation t 114192bs1 [0,0,0,8901,92394] 1
114192bt (2 curves)	0	2- 3- 13+ 61-	2- 3- -4 -4 -4 13+  4 -6
Curve Equation t 114192bt1 [0,0,0,-549507,-125857150] 2 114192bt2 [0,0,0,-2761347,1654674050] 2
114192bu (2 curves)	0	2- 3- 13- 61+	2- 3-  0 -2 -4 13-  2 -6
Curve Equation t 114192bu1 [0,0,0,-151680,-22599601] 2 114192bu2 [0,0,0,-250095,10330058] 2
114192bv (2 curves)	0	2- 3- 13- 61+	2- 3-  2 -4  4 13-  6  4
Curve Equation t 114192bv1 [0,0,0,-144,-405] 2 114192bv2 [0,0,0,441,-2862] 2
114192bw (2 curves)	0	2- 3- 13- 61+	2- 3- -2  2  2 13- -2 -4
Curve Equation t 114192bw1 [0,0,0,-639876,-194075165] 2 114192bw2 [0,0,0,-23871,-551974070] 2
114192bx (1 curve)	0	2- 3- 13- 61+	2- 3- -3 -2 -4 13- -1  0
Curve Equation t 114192bx1 [0,0,0,-52419,-4620094] 1
114192by (2 curves)	0	2- 3- 13- 61+	2- 3-  4  0 -4 13-  4  4
Curve Equation t 114192by1 [0,0,0,-1803,8890] 2 114192by2 [0,0,0,6837,69370] 2
114192bz (1 curve)	1	2- 3- 13- 61-	2- 3- -1  3  2 13-  3  6
Curve Equation t Generators 114192bz1 [0,0,0,-48,-3044] 1 [170:2214:1]
114192ca (2 curves)	1	2- 3- 13- 61-	2- 3- -1 -3  2 13- -3  0
Curve Equation t Generators 114192ca1 [0,0,0,2304717,17849763826] 1 [259347:25985024:27] 114192ca2 [0,0,0,-502985523,-4572020175374] 1 [192500324889:-24675725530016:5545233]
114192cb (4 curves)	1	2- 3- 13- 61-	2- 3-  2  0 -4 13-  6  0
Curve Equation t Generators 114192cb1 [0,0,0,-1735059,879668818] 2 [3922:96957:8] 114192cb2 [0,0,0,-1746579,867395410] 4 [26434054:-644126175:54872] 114192cb3 [0,0,0,352941,2822048530] 2 [80661:4718350:27] 114192cb4 [0,0,0,-4030419,-1872755822] 2 [-1351:33264:1]
114192cc (4 curves)	1	2- 3- 13- 61-	2- 3- -2  0  4 13- -6  8
Curve Equation t Generators 114192cc1 [0,0,0,-2811,53354] 2 [-11:288:1] 114192cc2 [0,0,0,-9291,-282310] 4 [-38:126:1] 114192cc3 [0,0,0,18789,-1658230] 4 [1834:78750:1] 114192cc4 [0,0,0,-141051,-20388886] 2 [14818:623441:8]
114192cd (3 curves)	1	2- 3- 13- 61-	2- 3- -3  1 -6 13- -3 -2
Curve Equation t Generators 114192cd1 [0,0,0,-8544,447536] 1 [97:729:1] 114192cd2 [0,0,0,69216,-6628624] 1 [745:-21411:1] 114192cd3 [0,0,0,-1775424,-917880784] 1 [1609:19773:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations