Cremona's table of elliptic curves

54782 = 2 · 7² · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
54782a (1 curve)	1	2+ 7+ 13- 43-	2+  0  2 7+  3 13-  3  1
Curve Equation t Generators 54782a1 [1,-1,0,-6281,505105] 1 [48:-583:1]
54782b (1 curve)	1	2+ 7+ 13- 43-	2+  0 -3 7+ -2 13- -7 -4
Curve Equation t Generators 54782b1 [1,-1,0,-261326,-51355564] 1 [4076:256010:1]
54782c (2 curves)	1	2+ 7+ 13- 43-	2+  1  0 7+  3 13-  3 -4
Curve Equation t Generators 54782c1 [1,0,1,2179,92656] 3 [-53534:374635:2197] 54782c2 [1,0,1,-20116,-2877038] 1 [200:953:1]
54782d (1 curve)	1	2+ 7+ 13- 43-	2+ -1  2 7+  1 13-  3 -4
Curve Equation t Generators 54782d1 [1,1,0,-1110414,450611092] 1 [5438:-28605:8]
54782e (1 curve)	1	2+ 7+ 13- 43-	2+ -1  2 7+ -4 13-  3  6
Curve Equation t Generators 54782e1 [1,1,0,-233804,-43611728] 1 [1415319:1683058093:1]
54782f (1 curve)	1	2+ 7+ 13- 43-	2+  2 -1 7+ -2 13- -3 -4
Curve Equation t Generators 54782f1 [1,1,0,-3553,-83019] 1 [258:3903:1]
54782g (2 curves)	1	2+ 7+ 13- 43-	2+ -2  3 7+  0 13- -3 -4
Curve Equation t Generators 54782g1 [1,0,1,-135707,19232742] 3 [215:-32:1] 54782g2 [1,0,1,20358,60121772] 1 [445:12321:1]
54782h (2 curves)	0	2+ 7- 13+ 43+	2+  0 -2 7- -4 13+  0  6
Curve Equation t 54782h1 [1,-1,0,-62533,-4731819] 2 54782h2 [1,-1,0,-940613,-350870955] 2
54782i (1 curve)	0	2+ 7- 13+ 43+	2+ -1  2 7- -1 13+  2  7
Curve Equation t 54782i1 [1,1,0,661,88725757] 1
54782j (1 curve)	0	2+ 7- 13+ 43+	2+  3  4 7- -1 13+  0 -3
Curve Equation t 54782j1 [1,-1,0,-1465,22133] 1
54782k (1 curve)	1	2+ 7- 13+ 43-	2+  0 -2 7-  3 13+ -3 -1
Curve Equation t Generators 54782k1 [1,-1,0,-128,-1436] 1 [18:34:1]
54782l (1 curve)	1	2+ 7- 13+ 43-	2+  0  3 7- -2 13+  7  4
Curve Equation t Generators 54782l1 [1,-1,0,-12804983,17640568413] 1 [3576050874:137130304931:970299]
54782m (1 curve)	1	2+ 7- 13+ 43-	2+  1 -2 7-  1 13+ -3  4
Curve Equation t Generators 54782m1 [1,0,1,-54410312,-154722835466] 1 [607895911198:163925047095471:8242408]
54782n (1 curve)	1	2+ 7- 13+ 43-	2+  1 -2 7- -1 13+  6 -6
Curve Equation t Generators 54782n1 [1,0,1,-19332,-8033406] 1 [9342:898178:1]
54782o (1 curve)	1	2+ 7- 13+ 43-	2+  1 -2 7- -4 13+ -3 -6
Curve Equation t Generators 54782o1 [1,0,1,-4772,126466] 1 [40:-18:1]
54782p (2 curves)	1	2+ 7- 13+ 43-	2+ -1  0 7-  3 13+ -3  4
Curve Equation t Generators 54782p1 [1,1,0,45,-251] 1 [21:92:1] 54782p2 [1,1,0,-410,8212] 1 [-13:114:1]
54782q (3 curves)	1	2+ 7- 13+ 43-	2+  2  0 7- -3 13+  6  7
Curve Equation t Generators 54782q1 [1,1,0,-399375,-97311367] 1 [27383:4516481:1] 54782q2 [1,1,0,-393250,-100432716] 1 [993:21627:1] 54782q3 [1,1,0,2208895,-116237323] 1 [31156:2082553:64]
54782r (2 curves)	1	2+ 7- 13+ 43-	2+  2 -3 7-  0 13+  3  4
Curve Equation t Generators 54782r1 [1,1,0,-2769,-57259] 1 [45018:57367:729] 54782r2 [1,1,0,416,-175104] 1 [10560:203872:27]
54782s (1 curve)	1	2+ 7- 13+ 43-	2+ -2  1 7- -2 13+  3  4
Curve Equation t Generators 54782s1 [1,0,1,-174123,27953174] 1 [239:-56:1]
54782t (2 curves)	1	2+ 7- 13- 43+	2+  0  2 7- -4 13-  0 -6
Curve Equation t Generators 54782t1 [1,-1,0,-1276,14160] 2 [-15:180:1] 54782t2 [1,-1,0,-19196,1028432] 2 [-59:1427:1]
54782u (1 curve)	1	2+ 7- 13- 43+	2+  1  2 7-  3 13-  2  1
Curve Equation t Generators 54782u1 [1,0,1,905,-18182] 1 [214:1163:8]
54782v (1 curve)	1	2+ 7- 13- 43+	2+  2  4 7- -5 13-  2 -1
Curve Equation t Generators 54782v1 [1,1,0,-368,-14860] 1 [55:340:1]
54782w (1 curve)	1	2+ 7- 13- 43+	2+ -3 -4 7- -1 13-  0  3
Curve Equation t Generators 54782w1 [1,-1,0,-71794,-7448036] 1 [331:2064:1]
54782x (1 curve)	0	2+ 7- 13- 43-	2+  1  4 7-  3 13-  0  6
Curve Equation t 54782x1 [1,0,1,-115029,43035864] 1
54782y (1 curve)	1	2- 7+ 13+ 43-	2- -1  2 7+  3 13+  3  0
Curve Equation t Generators 54782y1 [1,1,1,-61447,-5888331] 1 [25542:1426257:8]
54782z (1 curve)	1	2- 7+ 13+ 43-	2-  3  2 7+ -4 13+ -5 -2
Curve Equation t Generators 54782z1 [1,-1,1,118056,-13906469] 1 [415635:5114743:3375]
54782ba (1 curve)	0	2- 7+ 13- 43-	2-  2  1 7+ -4 13- -3 -4
Curve Equation t 54782ba1 [1,1,1,-50,-197] 1
54782bb (2 curves)	0	2- 7+ 13- 43-	2- -2 -3 7+  6 13- -3 -4
Curve Equation t 54782bb1 [1,0,0,-67330607,-212859954119] 3 54782bb2 [1,0,0,-5455229487,-155084689200071] 1
54782bc (1 curve)	0	2- 7- 13+ 43-	2-  1  2 7-  5 13+  0  7
Curve Equation t 54782bc1 [1,0,0,-32782,-3167228] 1
54782bd (1 curve)	2	2- 7- 13+ 43-	2-  1 -2 7- -5 13+ -2  1
Curve Equation t Generators 54782bd1 [1,0,0,-133134,18952940] 1 [12162:185656:27]&[202:-660:1]
54782be (3 curves)	0	2- 7- 13+ 43-	2- -1  0 7-  3 13+ -6 -2
Curve Equation t 54782be1 [1,1,1,-3823,-93003] 1 54782be2 [1,1,1,9897,-482651] 1 54782be3 [1,1,1,-95453,19382145] 1
54782bf (3 curves)	0	2- 7- 13+ 43-	2- -1  0 7- -3 13+  0  7
Curve Equation t 54782bf1 [1,1,1,-1920458,-1025166633] 1 54782bf2 [1,1,1,-1847938,-1106061321] 1 54782bf3 [1,1,1,12643812,4943838535] 1
54782bg (2 curves)	0	2- 7- 13+ 43-	2-  2  3 7-  6 13+  3  4
Curve Equation t 54782bg1 [1,1,1,-1374094,619994059] 1 54782bg2 [1,1,1,-111331214,452094237643] 1
54782bh (1 curve)	0	2- 7- 13+ 43-	2- -2 -1 7- -4 13+  3  4
Curve Equation t 54782bh1 [1,0,0,-2451,60157] 1
54782bi (1 curve)	2	2- 7- 13+ 43-	2- -2 -2 7- -5 13+ -2  7
Curve Equation t Generators 54782bi1 [1,0,0,38016,2375680] 1 [-48:688:1]&[-24:1216:1]
54782bj (1 curve)	0	2- 7- 13+ 43-	2-  3  0 7-  1 13+  0 -1
Curve Equation t 54782bj1 [1,-1,1,-8070,1070773] 1
54782bk (2 curves)	0	2- 7- 13- 43+	2-  0  0 7-  4 13-  2  4
Curve Equation t 54782bk1 [1,-1,1,-10030,-547011] 2 54782bk2 [1,-1,1,-178590,-28999939] 2
54782bl (1 curve)	2	2- 7- 13- 43+	2-  0 -2 7- -3 13- -4 -5
Curve Equation t Generators 54782bl1 [1,-1,1,-5326,200925] 1 [-87:51:1]&[-47:611:1]
54782bm (1 curve)	0	2- 7- 13- 43+	2-  1  4 7- -3 13- -6 -3
Curve Equation t 54782bm1 [1,0,0,-13721,-686407] 1
54782bn (1 curve)	1	2- 7- 13- 43-	2-  0 -2 7- -1 13- -4  5
Curve Equation t Generators 54782bn1 [1,-1,1,-18685351,31093247455] 1 [2323:13630:1]
54782bo (1 curve)	1	2- 7- 13- 43-	2-  1 -2 7-  3 13- -3  0
Curve Equation t Generators 54782bo1 [1,0,0,-1254,16988] 1 [22:2:1]
54782bp (1 curve)	1	2- 7- 13- 43-	2- -1  2 7- -5 13-  2 -1
Curve Equation t Generators 54782bp1 [1,1,1,-2717,-56421] 1 [69:266:1]
54782bq (1 curve)	1	2- 7- 13- 43-	2-  2  2 7- -5 13-  2 -7
Curve Equation t Generators 54782bq1 [1,1,1,1862783,-812995457] 1 [511:16256:1]
54782br (2 curves)	1	2- 7- 13- 43-	2- -2 -2 7-  0 13- -6  0
Curve Equation t Generators 54782br1 [1,0,0,-344,-22016] 2 [46:222:1] 54782br2 [1,0,0,-14064,-639416] 2 [-66:82:1]
54782bs (1 curve)	1	2- 7- 13- 43-	2- -3 -2 7- -4 13-  5  2
Curve Equation t Generators 54782bs1 [1,-1,1,2409,39855] 1 [115:1294:1]

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