Cremona's table of elliptic curves

126672 = 2⁴ · 3 · 7 · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
126672a (2 curves)	1	2+ 3+ 7+ 13+ 29+	2+ 3+  0 7+ -4 13+  6  4
Curve Equation t Generators 126672a1 [0,-1,0,772,75744] 2 [-35:68:1] 126672a2 [0,-1,0,-22888,1287136] 2 [-170:486:1]
126672b (1 curve)	1	2+ 3+ 7+ 13+ 29+	2+ 3+  1 7+  0 13+  1  4
Curve Equation t Generators 126672b1 [0,-1,0,-745785,248144229] 1 [356:5257:1]
126672c (1 curve)	1	2+ 3+ 7+ 13+ 29+	2+ 3+ -2 7+ -2 13+  7 -3
Curve Equation t Generators 126672c1 [0,-1,0,-224,3360] 1 [2:-54:1]
126672d (2 curves)	1	2+ 3+ 7+ 13+ 29+	2+ 3+  4 7+  4 13+ -2 -6
Curve Equation t Generators 126672d1 [0,-1,0,-6064191,5749898238] 2 [904413582:-6578955:636056] 126672d2 [0,-1,0,-6060276,5757689088] 2 [795170873270:-77307133487087:79507000]
126672e (2 curves)	1	2+ 3+ 7+ 13+ 29+	2+ 3+  4 7+ -6 13+ -2  4
Curve Equation t Generators 126672e1 [0,-1,0,629,-1262] 2 [666:6305:8] 126672e2 [0,-1,0,-2556,-7632] 2 [72:420:1]
126672f (2 curves)	1	2+ 3+ 7+ 13+ 29+	2+ 3+ -4 7+  0 13+ -2  2
Curve Equation t Generators 126672f1 [0,-1,0,-8055,-138834] 2 [98:58:1] 126672f2 [0,-1,0,27180,-1054944] 2 [124889:44135182:1]
126672g (1 curve)	0	2+ 3+ 7+ 13+ 29-	2+ 3+ -1 7+ -1 13+  0  5
Curve Equation t 126672g1 [0,-1,0,-390976,-93966176] 1
126672h (4 curves)	0	2+ 3+ 7+ 13+ 29-	2+ 3+  2 7+ -4 13+  2  0
Curve Equation t 126672h1 [0,-1,0,-92,-28800] 2 126672h2 [0,-1,0,-14672,-670320] 4 126672h3 [0,-1,0,-28712,834768] 2 126672h4 [0,-1,0,-233912,-43465968] 2
126672i (2 curves)	2	2+ 3+ 7+ 13+ 29-	2+ 3+  2 7+ -4 13+  6 -6
Curve Equation t Generators 126672i1 [0,-1,0,-92,768] 2 [1:26:1]&[13:40:1] 126672i2 [0,-1,0,-1912,32800] 2 [-50:30:1]&[22:30:1]
126672j (2 curves)	2	2+ 3+ 7- 13+ 29+	2+ 3+  0 7-  0 13+ -2 -6
Curve Equation t Generators 126672j1 [0,-1,0,-183,918] 2 [-6:42:1]&[22:84:1] 126672j2 [0,-1,0,252,4224] 2 [-4:56:1]&[41:286:1]
126672k (2 curves)	0	2+ 3+ 7- 13+ 29+	2+ 3+  0 7-  6 13+ -6 -4
Curve Equation t 126672k1 [0,-1,0,-1750763,905250510] 2 126672k2 [0,-1,0,-28125748,57421568368] 2
126672l (1 curve)	0	2+ 3+ 7- 13+ 29+	2+ 3+  3 7- -3 13+ -6  5
Curve Equation t 126672l1 [0,-1,0,-3864,-90864] 1
126672m (1 curve)	0	2+ 3+ 7- 13+ 29+	2+ 3+  3 7-  5 13+  4  5
Curve Equation t 126672m1 [0,-1,0,-150424,18464272] 1
126672n (2 curves)	1	2+ 3+ 7- 13+ 29-	2+ 3+  0 7-  0 13+  2 -2
Curve Equation t Generators 126672n1 [0,-1,0,-588,14976] 2 [17:98:1] 126672n2 [0,-1,0,-13328,595920] 2 [38:378:1]
126672o (4 curves)	1	2+ 3+ 7- 13- 29+	2+ 3+  2 7-  4 13- -2  4
Curve Equation t Generators 126672o1 [0,-1,0,-25292,-4567968] 2 [241:1810:1] 126672o2 [0,-1,0,-596512,-176847920] 4 [-458:270:1] 126672o3 [0,-1,0,-792552,-50441328] 2 [-304:12740:1] 126672o4 [0,-1,0,-9539992,-11338310960] 2 [19242:2632330:1]
126672p (2 curves)	1	2+ 3+ 7- 13- 29+	2+ 3+ -2 7-  2 13- -2  6
Curve Equation t Generators 126672p1 [0,-1,0,-299,-126] 2 [-10:42:1] 126672p2 [0,-1,0,-3484,-77840] 2 [81:406:1]
126672q (2 curves)	1	2+ 3+ 7- 13- 29+	2+ 3+ -2 7-  6 13-  6  2
Curve Equation t Generators 126672q1 [0,-1,0,-299,1638] 2 [18:42:1] 126672q2 [0,-1,0,-1604,-22896] 2 [-20:28:1]
126672r (4 curves)	2	2+ 3+ 7- 13- 29-	2+ 3+ -2 7- -4 13- -6  0
Curve Equation t Generators 126672r1 [0,-1,0,-2639,53070] 2 [46:164:1]&[2020:955:64] 126672r2 [0,-1,0,-2644,52864] 4 [-20:312:1]&[16:120:1] 126672r3 [0,-1,0,-904,119680] 4 [-48:224:1]&[-42:286:1] 126672r4 [0,-1,0,-4464,-27216] 2 [-34:290:1]&[-27:270:1]
126672s (4 curves)	0	2+ 3- 7- 13+ 29-	2+ 3-  2 7- -4 13+  6 -4
Curve Equation t 126672s1 [0,1,0,2428,49212] 2 126672s2 [0,1,0,-14392,459620] 4 126672s3 [0,1,0,-87472,-9625420] 2 126672s4 [0,1,0,-210432,37079892] 4
126672t (2 curves)	2	2+ 3- 7- 13+ 29-	2+ 3- -2 7- -4 13+ -6 -2
Curve Equation t Generators 126672t1 [0,1,0,15196,481980] 2 [19:-882:1]&[-2:672:1] 126672t2 [0,1,0,-73984,4156196] 2 [-289:1218:1]&[-184:3402:1]
126672u (1 curve)	0	2+ 3- 7- 13- 29+	2+ 3- -1 7-  3 13-  0  1
Curve Equation t 126672u1 [0,1,0,-96,276] 1
126672v (4 curves)	1	2+ 3- 7- 13- 29-	2+ 3- -2 7-  0 13-  2  0
Curve Equation t Generators 126672v1 [0,1,0,-1880039,-992825064] 2 [10024:993720:1] 126672v2 [0,1,0,-1880884,-991888804] 4 [-769:588:1] 126672v3 [0,1,0,-1270144,-1646357788] 2 [39947:7980924:1] 126672v4 [0,1,0,-2505144,-277485660] 4 [-1497:10962:1]
126672w (1 curve)	0	2- 3+ 7+ 13+ 29+	2- 3+ -1 7+  4 13+ -3  4
Curve Equation t 126672w1 [0,-1,0,-349181,79936689] 1
126672x (1 curve)	0	2- 3+ 7+ 13+ 29+	2- 3+ -4 7+ -5 13+ -3 -2
Curve Equation t 126672x1 [0,-1,0,-42266960,-173091747264] 1
126672y (2 curves)	1	2- 3+ 7+ 13+ 29-	2- 3+  0 7+  2 13+  0  4
Curve Equation t Generators 126672y1 [0,-1,0,447,-10992] 2 [18944:2607332:1] 126672y2 [0,-1,0,-5468,-138756] 2 [85:58:1]
126672z (2 curves)	1	2- 3+ 7+ 13+ 29-	2- 3+  2 7+  4 13+ -6 -2
Curve Equation t Generators 126672z1 [0,-1,0,1478528,94892032] 2 [1594:159471:8] 126672z2 [0,-1,0,-5976192,768798720] 2 [34192170:2384861545:5832]
126672ba (2 curves)	1	2- 3+ 7+ 13+ 29-	2- 3+ -4 7+  4 13+ -6  6
Curve Equation t Generators 126672ba1 [0,-1,0,-11240,-798864] 2 [249:3432:1] 126672ba2 [0,-1,0,-215080,-38305424] 2 [1924:81648:1]
126672bb (2 curves)	1	2- 3+ 7+ 13- 29+	2- 3+  1 7+  3 13- -2  5
Curve Equation t Generators 126672bb1 [0,-1,0,-549920,106460928] 1 [-432:16224:1] 126672bb2 [0,-1,0,-311857280,2119840775808] 1 [1250520:4181592:125]
126672bc (2 curves)	1	2- 3+ 7+ 13- 29+	2- 3+  2 7+  0 13-  0  6
Curve Equation t Generators 126672bc1 [0,-1,0,-117,-360] 2 [20:70:1] 126672bc2 [0,-1,0,-572,5100] 2 [186:495:8]
126672bd (2 curves)	1	2- 3+ 7+ 13- 29+	2- 3+ -3 7+  3 13-  0  1
Curve Equation t Generators 126672bd1 [0,-1,0,-4992,-36864] 1 [-64:128:1] 126672bd2 [0,-1,0,-233472,43497984] 1 [272:208:1]
126672be (6 curves)	0	2- 3+ 7+ 13- 29-	2- 3+ -2 7+  4 13-  2 -4
Curve Equation t 126672be1 [0,-1,0,-55504,-5014592] 2 126672be2 [0,-1,0,-56784,-4769856] 4 126672be3 [0,-1,0,63856,-22431552] 2 126672be4 [0,-1,0,-197904,28534464] 8 126672be5 [0,-1,0,369936,161636160] 4 126672be6 [0,-1,0,-3023664,2024651328] 4
126672bf (2 curves)	0	2- 3+ 7+ 13- 29-	2- 3+ -2 7+  6 13- -4  8
Curve Equation t 126672bf1 [0,-1,0,-26369,-283416] 2 126672bf2 [0,-1,0,-316204,-68220740] 2
126672bg (2 curves)	0	2- 3+ 7+ 13- 29-	2- 3+  3 7+  3 13-  6 -5
Curve Equation t 126672bg1 [0,-1,0,-748144,246918592] 1 126672bg2 [0,-1,0,-60437104,180863929792] 1
126672bh (2 curves)	1	2- 3+ 7- 13+ 29+	2- 3+ -2 7-  4 13+ -6  6
Curve Equation t Generators 126672bh1 [0,-1,0,-224,-7872] 2 [37:182:1] 126672bh2 [0,-1,0,-7504,-246656] 2 [149:1386:1]
126672bi (1 curve)	0	2- 3+ 7- 13+ 29-	2- 3+  1 7- -3 13+  0 -1
Curve Equation t 126672bi1 [0,-1,0,-506280,-89710992] 1
126672bj (1 curve)	0	2- 3+ 7- 13+ 29-	2- 3+ -1 7-  0 13+  3  4
Curve Equation t 126672bj1 [0,-1,0,1819,526989] 1
126672bk (2 curves)	0	2- 3+ 7- 13+ 29-	2- 3+ -4 7-  0 13+  6  4
Curve Equation t 126672bk1 [0,-1,0,-6280,-192464] 2 126672bk2 [0,-1,0,-100920,-12306384] 2
126672bl (2 curves)	0	2- 3+ 7- 13- 29+	2- 3+  2 7-  0 13-  8 -6
Curve Equation t 126672bl1 [0,-1,0,-72917,-7523880] 2 126672bl2 [0,-1,0,-1165372,-483834260] 2
126672bm (4 curves)	0	2- 3+ 7- 13- 29+	2- 3+ -2 7-  4 13-  6  0
Curve Equation t 126672bm1 [0,-1,0,57416,18821488] 2 126672bm2 [0,-1,0,-807864,256946544] 4 126672bm3 [0,-1,0,-2829624,-1541611152] 2 126672bm4 [0,-1,0,-12630584,17281663344] 2
126672bn (1 curve)	1	2- 3+ 7- 13- 29-	2- 3+  1 7-  1 13- -4 -7
Curve Equation t Generators 126672bn1 [0,-1,0,-887640,318238704] 1 [410:4802:1]
126672bo (6 curves)	1	2- 3+ 7- 13- 29-	2- 3+ -2 7-  4 13-  2 -4
Curve Equation t Generators 126672bo1 [0,-1,0,56772256,-1069520390400] 2 [818500:84619535:64] 126672bo2 [0,-1,0,-1285405024,-16852451461376] 4 [57093:9790690:1] 126672bo3 [0,-1,0,-3765614944,67762390169344] 8 [-53750:10717938:1] 126672bo4 [0,-1,0,-20280031584,-1111596356471040] 2 [36955505:-17108811174:125] 126672bo5 [0,-1,0,8956596896,427108896917248] 4 [-26437982442:-21482802769582:1367631] 126672bo6 [0,-1,0,-56171185504,5123726064428800] 4 [4372785134:-3278196226074:6859]
126672bp (2 curves)	1	2- 3- 7+ 13+ 29+	2- 3-  2 7+  4 13+ -2 -2
Curve Equation t Generators 126672bp1 [0,1,0,108248,-33011212] 2 [662:18144:1] 126672bp2 [0,1,0,-1122072,-402599340] 2 [-777:870:1]
126672bq (2 curves)	1	2- 3- 7+ 13+ 29+	2- 3-  2 7+ -4 13+ -4  4
Curve Equation t Generators 126672bq1 [0,1,0,2443,444378] 2 [-38:546:1] 126672bq2 [0,1,0,-74452,7487960] 2 [4090:81315:8]
126672br (1 curve)	1	2- 3- 7+ 13+ 29+	2- 3- -2 7+ -2 13+ -1 -7
Curve Equation t Generators 126672br1 [0,1,0,-10304,-9482700] 1 [394:-6912:1]
126672bs (1 curve)	1	2- 3- 7+ 13+ 29+	2- 3- -3 7+  4 13+ -3 -4
Curve Equation t Generators 126672bs1 [0,1,0,464443,107047539] 1 [1390:58653:1]
126672bt (1 curve)	0	2- 3- 7+ 13+ 29-	2- 3- -1 7+  5 13+ -2 -5
Curve Equation t 126672bt1 [0,1,0,-1496,-22764] 1
126672bu (4 curves)	0	2- 3- 7+ 13+ 29-	2- 3-  2 7+ -4 13+ -2  4
Curve Equation t 126672bu1 [0,1,0,-2192,98580] 2 126672bu2 [0,1,0,-48272,4061460] 4 126672bu3 [0,1,0,-61712,1604628] 2 126672bu4 [0,1,0,-772112,260879892] 2
126672bv (2 curves)	0	2- 3- 7+ 13+ 29-	2- 3-  4 7+  0 13+ -2  0
Curve Equation t 126672bv1 [0,1,0,-255187416,1945857985812] 2 126672bv2 [0,1,0,-4349692376,110409294376212] 2
126672bw (1 curve)	1	2- 3- 7+ 13- 29-	2- 3-  0 7+ -3 13- -3 -6
Curve Equation t Generators 126672bw1 [0,1,0,-1097608,443527412] 1 [916:14406:1]
126672bx (1 curve)	1	2- 3- 7+ 13- 29-	2- 3-  3 7+  1 13-  2 -3
Curve Equation t Generators 126672bx1 [0,1,0,-904,-652] 1 [-4:54:1]
126672by (2 curves)	0	2- 3- 7- 13+ 29+	2- 3-  0 7- -4 13+ -2  2
Curve Equation t 126672by1 [0,1,0,-29968,8710676] 2 126672by2 [0,1,0,-845328,298000404] 2
126672bz (1 curve)	1	2- 3- 7- 13+ 29-	2- 3-  0 7- -1 13+  1  2
Curve Equation t Generators 126672bz1 [0,1,0,-5905968,-5528155308] 1 [19538:2708832:1]
126672ca (1 curve)	1	2- 3- 7- 13+ 29-	2- 3-  3 7-  0 13+  3  4
Curve Equation t Generators 126672ca1 [0,1,0,-29,-201] 1 [345:1106:27]
126672cb (1 curve)	1	2- 3- 7- 13+ 29-	2- 3- -3 7- -1 13+  4  5
Curve Equation t Generators 126672cb1 [0,1,0,-122032,15601364] 1 [-310:4872:1]
126672cc (1 curve)	1	2- 3- 7- 13- 29+	2- 3- -4 7-  3 13- -5  2
Curve Equation t Generators 126672cc1 [0,1,0,3360,-104076] 1 [42:336:1]
126672cd (1 curve)	0	2- 3- 7- 13- 29-	2- 3-  2 7- -2 13- -1  5
Curve Equation t 126672cd1 [0,1,0,-103992,-12988332] 1
126672ce (4 curves)	0	2- 3- 7- 13- 29-	2- 3-  2 7-  4 13-  2  0
Curve Equation t 126672ce1 [0,1,0,-1632,-1631628] 2 126672ce2 [0,1,0,-217952,-38752140] 4 126672ce3 [0,1,0,-421792,44985332] 4 126672ce4 [0,1,0,-3475232,-2494741260] 2

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

Part of Computational Number Theory
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