Cremona's table of elliptic curves

126420 = 2² · 3 · 5 · 7² · 43

Class	r	Atkin-Lehner	Eigenvalues
126420a (1 curve)	0	2- 3+ 5+ 7+ 43+	2- 3+ 5+ 7+  0  4 -3 -8
Curve Equation t 126420a1 [0,-1,0,-508459541,4413033746241] 1
126420b (2 curves)	1	2- 3+ 5+ 7- 43+	2- 3+ 5+ 7-  0  0  4 -4
Curve Equation t Generators 126420b1 [0,-1,0,-4181,91806] 2 [-37:441:1] 126420b2 [0,-1,0,6844,484296] 2 [-2:686:1]
126420c (1 curve)	1	2- 3+ 5+ 7- 43+	2- 3+ 5+ 7-  0 -5  6  0
Curve Equation t Generators 126420c1 [0,-1,0,-2273861,-1321659135] 1 [13518282843:1220504383574:1601613]
126420d (1 curve)	1	2- 3+ 5+ 7- 43+	2- 3+ 5+ 7- -1 -4 -2 -6
Curve Equation t Generators 126420d1 [0,-1,0,-86,645] 1 [-1:27:1]
126420e (2 curves)	1	2- 3+ 5+ 7- 43+	2- 3+ 5+ 7- -4  0 -2  0
Curve Equation t Generators 126420e1 [0,-1,0,-501041,132168366] 2 [2686:134750:1] 126420e2 [0,-1,0,-7942916,8618882616] 2 [24890:947023:8]
126420f (2 curves)	0	2- 3+ 5+ 7- 43-	2- 3+ 5+ 7-  0  0  0  4
Curve Equation t 126420f1 [0,-1,0,-347181,-71732394] 2 126420f2 [0,-1,0,418444,-344601144] 2
126420g (1 curve)	0	2- 3+ 5+ 7- 43-	2- 3+ 5+ 7-  1  5  3  6
Curve Equation t 126420g1 [0,-1,0,-227621,-41870079] 1
126420h (2 curves)	0	2- 3+ 5+ 7- 43-	2- 3+ 5+ 7- -2 -4 -6  6
Curve Equation t 126420h1 [0,-1,0,-29800101,-62199160890] 2 126420h2 [0,-1,0,-10659476,-141050879640] 2
126420i (1 curve)	0	2- 3+ 5+ 7- 43-	2- 3+ 5+ 7- -3 -4  6 -4
Curve Equation t 126420i1 [0,-1,0,-506,-6075] 1
126420j (2 curves)	0	2- 3+ 5+ 7- 43-	2- 3+ 5+ 7- -4  0 -2 -4
Curve Equation t 126420j1 [0,-1,0,-11810241,15625909566] 2 126420j2 [0,-1,0,-11902116,15370533816] 2
126420k (1 curve)	2	2- 3+ 5+ 7- 43-	2- 3+ 5+ 7- -5  3  3 -4
Curve Equation t Generators 126420k1 [0,-1,0,13459,241305] 1 [-16:147:1]&[23:750:1]
126420l (1 curve)	1	2- 3+ 5- 7+ 43+	2- 3+ 5- 7+  3  2  0 -4
Curve Equation t Generators 126420l1 [0,-1,0,-1290,-17415] 1 [42:27:1]
126420m (1 curve)	1	2- 3+ 5- 7+ 43+	2- 3+ 5- 7+  3  6 -4  4
Curve Equation t Generators 126420m1 [0,-1,0,-2288610,1375637985] 1 [1062:11907:1]
126420n (1 curve)	2	2- 3+ 5- 7+ 43-	2- 3+ 5- 7+ -1 -4  0 -2
Curve Equation t Generators 126420n1 [0,-1,0,-2270,67257] 1 [-58:21:1]&[19:175:1]
126420o (2 curves)	0	2- 3+ 5- 7- 43+	2- 3+ 5- 7-  0 -4  4 -4
Curve Equation t 126420o1 [0,-1,0,-19512845,-33169877250] 2 126420o2 [0,-1,0,-19511620,-33174251480] 2
126420p (2 curves)	0	2- 3+ 5- 7- 43+	2- 3+ 5- 7- -2 -6 -2 -4
Curve Equation t 126420p1 [0,-1,0,-34365,-900150] 2 126420p2 [0,-1,0,-297740,61993800] 2
126420q (2 curves)	0	2- 3+ 5- 7- 43+	2- 3+ 5- 7-  4  4  0  8
Curve Equation t 126420q1 [0,-1,0,-42205,3323650] 2 126420q2 [0,-1,0,-11580,8015400] 2
126420r (1 curve)	0	2- 3+ 5- 7- 43+	2- 3+ 5- 7-  5  0 -2  0
Curve Equation t 126420r1 [0,-1,0,23210,1636237] 1
126420s (1 curve)	2	2- 3+ 5- 7- 43+	2- 3+ 5- 7- -5 -4 -4 -6
Curve Equation t Generators 126420s1 [0,-1,0,-170,1065] 1 [-8:43:1]&[2:27:1]
126420t (4 curves)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7-  0  4  0  4
Curve Equation t Generators 126420t1 [0,-1,0,-181365,-5413050] 2 [530:6860:1] 126420t2 [0,-1,0,711660,-43634520] 2 [4877:345548:1] 126420t3 [0,-1,0,-9071925,10520009802] 2 [104676:474075:64] 126420t4 [0,-1,0,-8796300,11188896552] 2 [1349:42140:1]
126420u (1 curve)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7- -1 -6 -8  2
Curve Equation t Generators 126420u1 [0,-1,0,-79270,-28307243] 1 [12319:1366875:1]
126420v (1 curve)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7- -2  1  0  4
Curve Equation t Generators 126420v1 [0,-1,0,-14381565,-21001154775] 1 [131385:4201750:27]
126420w (1 curve)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7-  3 -1  7  0
Curve Equation t Generators 126420w1 [0,-1,0,381155,-49342775] 1 [2371:119070:1]
126420x (2 curves)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7-  3 -2  0 -2
Curve Equation t Generators 126420x1 [0,-1,0,110,-335] 1 [7:27:1] 126420x2 [0,-1,0,-1150,20077] 1 [79:645:1]
126420y (1 curve)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7-  4  4 -3 -8
Curve Equation t Generators 126420y1 [0,-1,0,-12805,454945] 1 [27:358:1]
126420z (1 curve)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7- -6 -4 -3 -2
Curve Equation t Generators 126420z1 [0,-1,0,-11685,-479583] 1 [-61:50:1]
126420ba (1 curve)	1	2- 3- 5+ 7+ 43+	2- 3- 5+ 7+  5  0  2  0
Curve Equation t Generators 126420ba1 [0,1,0,474,-4635] 1 [9:21:1]
126420bb (1 curve)	1	2- 3- 5+ 7+ 43+	2- 3- 5+ 7+ -5  4  4  6
Curve Equation t Generators 126420bb1 [0,1,0,-8346,-348615] 1 [114:441:1]
126420bc (1 curve)	0	2- 3- 5+ 7+ 43-	2- 3- 5+ 7+ -1  6  8 -2
Curve Equation t 126420bc1 [0,1,0,-3884246,9717152829] 1
126420bd (2 curves)	0	2- 3- 5+ 7+ 43-	2- 3- 5+ 7+  3  2  0  2
Curve Equation t 126420bd1 [0,1,0,5374,104145] 3 126420bd2 [0,1,0,-56366,-6773691] 1
126420be (1 curve)	0	2- 3- 5+ 7+ 43-	2- 3- 5+ 7+  4 -4  3  8
Curve Equation t 126420be1 [0,1,0,-261,-1401] 1
126420bf (1 curve)	0	2- 3- 5+ 7+ 43-	2- 3- 5+ 7+ -6  4  3  2
Curve Equation t 126420bf1 [0,1,0,-572581,165642119] 1
126420bg (1 curve)	0	2- 3- 5+ 7- 43+	2- 3- 5+ 7-  2 -1 -4 -4
Curve Equation t 126420bg1 [0,1,0,1934259,56576870559] 1
126420bh (1 curve)	0	2- 3- 5+ 7- 43+	2- 3- 5+ 7-  3 -2  0  4
Curve Equation t 126420bh1 [0,1,0,-63226,6099785] 1
126420bi (1 curve)	0	2- 3- 5+ 7- 43+	2- 3- 5+ 7-  3 -6  4 -4
Curve Equation t 126420bi1 [0,1,0,-46706,-4023951] 1
126420bj (2 curves)	0	2- 3- 5+ 7- 43+	2- 3- 5+ 7- -4  4 -2  4
Curve Equation t 126420bj1 [0,1,0,-7121,-174420] 2 126420bj2 [0,1,0,-40196,2947860] 2
126420bk (1 curve)	0	2- 3- 5+ 7- 43+	2- 3- 5+ 7- -6 -3  4 -4
Curve Equation t 126420bk1 [0,1,0,-25508539821,-1568118618576945] 1
126420bl (1 curve)	1	2- 3- 5+ 7- 43-	2- 3- 5+ 7- -1  4  0  2
Curve Equation t Generators 126420bl1 [0,1,0,-111246,-22846671] 1 [385931:12260499:343]
126420bm (2 curves)	1	2- 3- 5+ 7- 43-	2- 3- 5+ 7-  4  4 -6  0
Curve Equation t Generators 126420bm1 [0,1,0,-5161,139964] 2 [298:225:8] 126420bm2 [0,1,0,-8836,-89356] 2 [-15474:91925:216]
126420bn (1 curve)	0	2- 3- 5- 7+ 43+	2- 3- 5- 7+ -1  4  2  6
Curve Equation t 126420bn1 [0,1,0,-4230,-212787] 1
126420bo (1 curve)	1	2- 3- 5- 7+ 43-	2- 3- 5- 7+ -3  4 -6  4
Curve Equation t Generators 126420bo1 [0,1,0,-24810,2133333] 1 [261:3675:1]
126420bp (1 curve)	1	2- 3- 5- 7- 43+	2- 3- 5- 7-  0 -4  3  8
Curve Equation t Generators 126420bp1 [0,1,0,-10376725,-12868952377] 1 [-14822:1875:8]
126420bq (1 curve)	1	2- 3- 5- 7- 43+	2- 3- 5- 7-  0  5 -6  0
Curve Equation t Generators 126420bq1 [0,1,0,-46405,3839975] 1 [65:-1050:1]
126420br (2 curves)	1	2- 3- 5- 7- 43+	2- 3- 5- 7- -2  2  2  4
Curve Equation t Generators 126420br1 [0,1,0,-20645,-600132] 2 [-89:735:1] 126420br2 [0,1,0,-284020,-58331932] 2 [-304:90:1]
126420bs (2 curves)	0	2- 3- 5- 7- 43-	2- 3- 5- 7- -2 -4 -2  6
Curve Equation t 126420bs1 [0,1,0,-634125,-194573100] 2 126420bs2 [0,1,0,-632900,-195361020] 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
Back to Tables and computations