Cremona's table of elliptic curves

129744 = 2⁴ · 3² · 17 · 53

Class	r	Atkin-Lehner	Eigenvalues
129744a (1 curve)	0	2+ 3- 17+ 53+	2+ 3-  1  2 -3 -1 17+  5
Curve Equation t 129744a1 [0,0,0,-635412,-194953588] 1
129744b (4 curves)	0	2+ 3- 17+ 53+	2+ 3- -2  0  4 -2 17+  0
Curve Equation t 129744b1 [0,0,0,-2946,60235] 2 129744b2 [0,0,0,-6591,-118370] 4 129744b3 [0,0,0,20949,-850934] 2 129744b4 [0,0,0,-92451,-10816526] 2
129744c (1 curve)	0	2+ 3- 17+ 53+	2+ 3- -2  1 -2  3 17+ -1
Curve Equation t 129744c1 [0,0,0,-2683011,1691214194] 1
129744d (1 curve)	2	2+ 3- 17+ 53+	2+ 3- -2 -1 -3  2 17+  1
Curve Equation t Generators 129744d1 [0,0,0,-21891,-1292254] 1 [175:486:1]&[661:16524:1]
129744e (2 curves)	0	2+ 3- 17+ 53+	2+ 3- -2  4  2  2 17+  4
Curve Equation t 129744e1 [0,0,0,-1731,5074] 2 129744e2 [0,0,0,-20811,1153690] 2
129744f (1 curve)	1	2+ 3- 17+ 53-	2+ 3-  2 -3 -2 -5 17+ -7
Curve Equation t Generators 129744f1 [0,0,0,-113259,-14670902] 1 [-24305:162:125]
129744g (1 curve)	1	2+ 3- 17- 53+	2+ 3- -2 -1  6 -1 17-  7
Curve Equation t Generators 129744g1 [0,0,0,-5331,137986] 1 [-61:486:1]
129744h (1 curve)	1	2+ 3- 17- 53+	2+ 3-  3 -2  3 -1 17-  1
Curve Equation t Generators 129744h1 [0,0,0,-516,24028] 1 [226:1431:8]
129744i (1 curve)	1	2+ 3- 17- 53+	2+ 3- -3  1  0 -7 17-  7
Curve Equation t Generators 129744i1 [0,0,0,2301,-358094] 1 [299:5202:1]
129744j (2 curves)	0	2+ 3- 17- 53-	2+ 3-  0 -2 -2 -2 17-  4
Curve Equation t 129744j1 [0,0,0,-3495,-68218] 2 129744j2 [0,0,0,6045,-375406] 2
129744k (2 curves)	0	2+ 3- 17- 53-	2+ 3-  0  4  0  2 17- -4
Curve Equation t 129744k1 [0,0,0,-210,979] 2 129744k2 [0,0,0,-975,-10802] 2
129744l (1 curve)	2	2- 3+ 17+ 53+	2- 3+  0 -1  3 -4 17+ -5
Curve Equation t Generators 129744l1 [0,0,0,405,75546] 1 [-35:136:1]&[-33:162:1]
129744m (1 curve)	0	2- 3+ 17+ 53+	2- 3+  2  5 -6  1 17+  1
Curve Equation t 129744m1 [0,0,0,-4179,100818] 1
129744n (1 curve)	1	2- 3+ 17+ 53-	2- 3+  2 -1  0  1 17+  5
Curve Equation t Generators 129744n1 [0,0,0,-2079,-36342] 1 [-3370:1324:125]
129744o (1 curve)	1	2- 3+ 17+ 53-	2- 3+ -2 -3  2  1 17+ -1
Curve Equation t Generators 129744o1 [0,0,0,-4731,-125014] 1 [-41:6:1]
129744p (1 curve)	1	2- 3+ 17+ 53-	2- 3+ -4 -1 -3  4 17+  5
Curve Equation t Generators 129744p1 [0,0,0,-7292187,-7767519030] 1 [21181:3056192:1]
129744q (1 curve)	1	2- 3+ 17- 53+	2- 3+  2 -3 -2  1 17- -1
Curve Equation t Generators 129744q1 [0,0,0,-42579,3375378] 1 [114:54:1]
129744r (1 curve)	1	2- 3+ 17- 53+	2- 3+ -2 -1  0  1 17-  5
Curve Equation t Generators 129744r1 [0,0,0,-231,1346] 1 [10:6:1]
129744s (1 curve)	1	2- 3+ 17- 53+	2- 3+  4 -1  3  4 17-  5
Curve Equation t Generators 129744s1 [0,0,0,-810243,287685890] 1 [1655:58990:1]
129744t (1 curve)	2	2- 3+ 17- 53-	2- 3+  0 -1 -3 -4 17- -5
Curve Equation t Generators 129744t1 [0,0,0,45,-2798] 1 [14:24:1]&[23:-102:1]
129744u (1 curve)	0	2- 3+ 17- 53-	2- 3+ -2  5  6  1 17-  1
Curve Equation t 129744u1 [0,0,0,-37611,-2722086] 1
129744v (1 curve)	1	2- 3- 17+ 53+	2- 3-  0  1  0  5 17+  3
Curve Equation t Generators 129744v1 [0,0,0,-187275,31191802] 1 [134:2916:1]
129744w (1 curve)	1	2- 3- 17+ 53+	2- 3-  0  3 -5  4 17+  7
Curve Equation t Generators 129744w1 [0,0,0,1104765,-1016671102] 1 [21938:1203579:8]
129744x (1 curve)	1	2- 3- 17+ 53+	2- 3-  0 -3 -2  1 17+  7
Curve Equation t Generators 129744x1 [0,0,0,-615,-4894] 1 [-10:16:1]
129744y (1 curve)	1	2- 3- 17+ 53+	2- 3- -1  2  0  1 17+  4
Curve Equation t Generators 129744y1 [0,0,0,-217008,7273584] 1 [59141579476730305:4004544864011157001:2606251117064113]
129744z (1 curve)	1	2- 3- 17+ 53+	2- 3- -1  2 -4  5 17+  4
Curve Equation t Generators 129744z1 [0,0,0,-26995368,-53986104596] 1 [-4332996053727639393098259469447771346922:7983043266342125536186401403986766:1444456086861620966529918986918674199]
129744ba (1 curve)	1	2- 3- 17+ 53+	2- 3- -1 -3 -4 -5 17+ -1
Curve Equation t Generators 129744ba1 [0,0,0,-2363583,1398658106] 1 [898:558:1]
129744bb (1 curve)	1	2- 3- 17+ 53+	2- 3-  2 -1  2 -1 17+  1
Curve Equation t Generators 129744bb1 [0,0,0,-11019,61882] 1 [-1:270:1]
129744bc (2 curves)	1	2- 3- 17+ 53+	2- 3-  2  2  2  2 17+  4
Curve Equation t Generators 129744bc1 [0,0,0,-40615419,-99500122838] 2 [4486937049599626330877221207:599359343083179616895503731786:223129796265129644386937] 129744bc2 [0,0,0,-28818939,-158475444950] 2 [47535350847885984067395138214454601549123257570955488061:6408177407417880501825403685406727174232165971535284560430:2375644162882188890099126615808350001435102931916467]
129744bd (1 curve)	1	2- 3- 17+ 53+	2- 3-  2  3  5 -2 17+  5
Curve Equation t Generators 129744bd1 [0,0,0,-11799219,51654781298] 1 [169442:24401007:8]
129744be (1 curve)	1	2- 3- 17+ 53+	2- 3- -3  1  4 -5 17+  5
Curve Equation t Generators 129744be1 [0,0,0,-39,1874] 1 [22:108:1]
129744bf (1 curve)	1	2- 3- 17+ 53+	2- 3- -3 -2  0 -7 17+  0
Curve Equation t Generators 129744bf1 [0,0,0,-624,-5456] 1 [-15:23:1]
129744bg (1 curve)	1	2- 3- 17+ 53+	2- 3- -4  3  4  5 17+  1
Curve Equation t Generators 129744bg1 [0,0,0,-507,-790] 1 [-17:54:1]
129744bh (1 curve)	0	2- 3- 17+ 53-	2- 3-  0 -3  0 -3 17+  5
Curve Equation t 129744bh1 [0,0,0,-2804835,-1714721758] 1
129744bi (1 curve)	0	2- 3- 17+ 53-	2- 3-  1  0  2  1 17+  8
Curve Equation t 129744bi1 [0,0,0,-192,812] 1
129744bj (1 curve)	0	2- 3- 17+ 53-	2- 3-  2  1  2  3 17+  5
Curve Equation t 129744bj1 [0,0,0,-9219,-338942] 1
129744bk (4 curves)	0	2- 3- 17+ 53-	2- 3- -2  0 -4 -2 17+ -4
Curve Equation t 129744bk1 [0,0,0,23829,13202714] 2 129744bk2 [0,0,0,-713451,222737690] 4 129744bk3 [0,0,0,-1934571,-743168230] 2 129744bk4 [0,0,0,-11288811,14598882074] 2
129744bl (1 curve)	0	2- 3- 17+ 53-	2- 3-  3  3  0  3 17+ -1
Curve Equation t 129744bl1 [0,0,0,-9651,365618] 1
129744bm (1 curve)	0	2- 3- 17+ 53-	2- 3-  3 -3  0 -1 17+ -3
Curve Equation t 129744bm1 [0,0,0,11589,-650518] 1
129744bn (2 curves)	0	2- 3- 17+ 53-	2- 3-  3  4  6  5 17+  4
Curve Equation t 129744bn1 [0,0,0,-2496,22448] 1 129744bn2 [0,0,0,-100416,-12246928] 1
129744bo (1 curve)	0	2- 3- 17+ 53-	2- 3- -3  1  0  3 17+ -1
Curve Equation t 129744bo1 [0,0,0,-49779,-119246094] 1
129744bp (1 curve)	0	2- 3- 17+ 53-	2- 3- -4  3  2  1 17+ -1
Curve Equation t 129744bp1 [0,0,0,-42087,-2941630] 1
129744bq (1 curve)	0	2- 3- 17- 53+	2- 3-  1 -1  0  1 17-  5
Curve Equation t 129744bq1 [0,0,0,-147,-5038] 1
129744br (1 curve)	0	2- 3- 17- 53+	2- 3- -2  3  5 -6 17-  3
Curve Equation t 129744br1 [0,0,0,-109371,-14015126] 1
129744bs (2 curves)	0	2- 3- 17- 53+	2- 3-  3 -5  0  5 17- -5
Curve Equation t 129744bs1 [0,0,0,19509,139898] 1 129744bs2 [0,0,0,-247611,-52162198] 1
129744bt (2 curves)	0	2- 3- 17- 53+	2- 3-  4  0 -4 -6 17- -6
Curve Equation t 129744bt1 [0,0,0,-12828,559195] 2 129744bt2 [0,0,0,-12063,628810] 2
129744bu (2 curves)	0	2- 3- 17- 53+	2- 3- -4  2 -4  2 17-  4
Curve Equation t 129744bu1 [0,0,0,-10475067,-13019210390] 2 129744bu2 [0,0,0,-6430107,-23184194870] 2
129744bv (2 curves)	1	2- 3- 17- 53-	2- 3-  0  1  0 -7 17-  7
Curve Equation t Generators 129744bv1 [0,0,0,-40755,3056114] 1 [31:1350:1] 129744bv2 [0,0,0,-490035,-131112718] 1 [-401:954:1]
129744bw (1 curve)	1	2- 3- 17- 53-	2- 3-  0 -1  0  5 17-  1
Curve Equation t Generators 129744bw1 [0,0,0,-220959075,1053125743714] 1 [269444:28441935:64]
129744bx (1 curve)	1	2- 3- 17- 53-	2- 3-  0 -1  2  1 17-  1
Curve Equation t Generators 129744bx1 [0,0,0,-9255,141122] 1 [-22:578:1]
129744by (2 curves)	1	2- 3- 17- 53-	2- 3-  0  2  2 -2 17-  4
Curve Equation t Generators 129744by1 [0,0,0,-324435,70883858] 2 [-569:8442:1] 129744by2 [0,0,0,-171795,137770706] 2 [-183295:3009238:343]
129744bz (2 curves)	1	2- 3- 17- 53-	2- 3-  0 -2 -6  6 17- -4
Curve Equation t Generators 129744bz1 [0,0,0,-12195,-416286] 2 [-57:306:1] 129744bz2 [0,0,0,25965,-2499822] 2 [231:3978:1]
129744ca (2 curves)	1	2- 3- 17- 53-	2- 3-  0  4  0  2 17-  0
Curve Equation t Generators 129744ca1 [0,0,0,-4262115,3386767138] 2 [993:11560:1] 129744ca2 [0,0,0,-4300275,3323032306] 2 [1439:10710:1]
129744cb (2 curves)	1	2- 3- 17- 53-	2- 3-  0 -4  0  2 17- -8
Curve Equation t Generators 129744cb1 [0,0,0,-40755,-3153422] 2 [-3309:640:27] 129744cb2 [0,0,0,-651315,-202318094] 2 [33959:6256170:1]
129744cc (1 curve)	1	2- 3- 17- 53-	2- 3- -1 -2 -5 -1 17-  5
Curve Equation t Generators 129744cc1 [0,0,0,21192,-38631764] 1 [386:5202:1]
129744cd (1 curve)	1	2- 3- 17- 53-	2- 3-  3  2  3 -1 17-  1
Curve Equation t Generators 129744cd1 [0,0,0,71304,-15565988] 1 [78670:2086398:125]
129744ce (1 curve)	1	2- 3- 17- 53-	2- 3- -4  1 -2 -7 17- -1
Curve Equation t Generators 129744ce1 [0,0,0,-3250767,2255934490] 1 [1058:954:1]

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