Cremona's table of elliptic curves

79050 = 2 · 3 · 5² · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
79050a (4 curves)	1	2+ 3+ 5+ 17+ 31+	2+ 3+ 5+  0  4 -2 17+  4
Curve Equation t Generators 79050a1 [1,1,0,128350,-2575500] 2 [2115592:135462277:512] 79050a2 [1,1,0,-519650,-21367500] 4 [-578:32095:8] 79050a3 [1,1,0,-5262650,4622029500] 2 [310794:1053041:216] 79050a4 [1,1,0,-6144650,-5854492500] 2 [-79964502:193824897:54872]
79050b (1 curve)	1	2+ 3+ 5+ 17+ 31+	2+ 3+ 5+  1  3  5 17+  1
Curve Equation t Generators 79050b1 [1,1,0,129725,-462669875] 1 [55990:4659505:8]
79050c (2 curves)	1	2+ 3+ 5+ 17+ 31+	2+ 3+ 5+ -4  0  4 17+  4
Curve Equation t Generators 79050c1 [1,1,0,125,-2375] 2 [19:76:1] 79050c2 [1,1,0,-2125,-36125] 2 [-29:61:1]
79050d (2 curves)	0	2+ 3+ 5+ 17+ 31-	2+ 3+ 5+  1 -6 -5 17+ -4
Curve Equation t 79050d1 [1,1,0,-1615,-27995] 1 79050d2 [1,1,0,-134215,-18981635] 1
79050e (2 curves)	0	2+ 3+ 5+ 17- 31+	2+ 3+ 5+  4  4  2 17- -4
Curve Equation t 79050e1 [1,1,0,-3900,-622500] 2 79050e2 [1,1,0,-135650,-19199250] 2
79050f (3 curves)	1	2+ 3+ 5+ 17- 31-	2+ 3+ 5+  1  3  4 17- -7
Curve Equation t Generators 79050f1 [1,1,0,-883953750,10115552812500] 1 [145750:1864625:8] 79050f2 [1,1,0,-212328750,24992886937500] 1 [529750:138599625:8] 79050f3 [1,1,0,1910280000,-673468391403750] 1 [880234850:74386346475:10648]
79050g (2 curves)	1	2+ 3+ 5+ 17- 31-	2+ 3+ 5+ -4  0  4 17-  4
Curve Equation t Generators 79050g1 [1,1,0,-5450275,-5141445875] 2 [238203775:28924823776:15625] 79050g2 [1,1,0,-88394275,-319913925875] 2 [60985:14839195:1]
79050h (1 curve)	0	2+ 3+ 5- 17+ 31+	2+ 3+ 5-  1 -2 -3 17+  4
Curve Equation t 79050h1 [1,1,0,-5825,-221625] 1
79050i (1 curve)	0	2+ 3+ 5- 17+ 31+	2+ 3+ 5-  1  3  2 17+ -1
Curve Equation t 79050i1 [1,1,0,-2597075,-1613617875] 1
79050j (1 curve)	0	2+ 3+ 5- 17+ 31+	2+ 3+ 5-  1  5 -1 17+ -1
Curve Equation t 79050j1 [1,1,0,-8825,21337125] 1
79050k (1 curve)	0	2+ 3+ 5- 17+ 31+	2+ 3+ 5- -2 -1 -7 17+ -4
Curve Equation t 79050k1 [1,1,0,-44657005,114845036125] 1
79050l (1 curve)	0	2+ 3+ 5- 17+ 31+	2+ 3+ 5- -5  1 -3 17+  4
Curve Equation t 79050l1 [1,1,0,4446025,-89095275] 1
79050m (2 curves)	1	2+ 3+ 5- 17+ 31-	2+ 3+ 5- -2 -2  2 17+  0
Curve Equation t Generators 79050m1 [1,1,0,1740,42300] 2 [-10:160:1] 79050m2 [1,1,0,-12710,432450] 2 [31:248:1]
79050n (1 curve)	1	2+ 3+ 5- 17- 31+	2+ 3+ 5- -1  1 -3 17-  0
Curve Equation t Generators 79050n1 [1,1,0,-1408950,644476500] 1 [1035:16695:1]
79050o (1 curve)	1	2+ 3+ 5- 17- 31+	2+ 3+ 5- -1 -1 -1 17- -8
Curve Equation t Generators 79050o1 [1,1,0,-2575,-582875] 1 [181:2128:1]
79050p (1 curve)	1	2+ 3+ 5- 17- 31+	2+ 3+ 5- -1 -1  7 17- -4
Curve Equation t Generators 79050p1 [1,1,0,-678525,214845525] 1 [465:150:1]
79050q (1 curve)	1	2+ 3+ 5- 17- 31+	2+ 3+ 5-  5 -5  6 17- -1
Curve Equation t Generators 79050q1 [1,1,0,-1645200,873504000] 1 [-2570:297285:8]
79050r (1 curve)	2	2+ 3+ 5- 17- 31-	2+ 3+ 5-  1 -5 -1 17- -6
Curve Equation t Generators 79050r1 [1,1,0,-25,475] 1 [-9:13:1]&[-5:25:1]
79050s (1 curve)	0	2+ 3+ 5- 17- 31-	2+ 3+ 5-  2  3  3 17-  4
Curve Equation t 79050s1 [1,1,0,-450,256500] 1
79050t (4 curves)	2	2+ 3- 5+ 17+ 31+	2+ 3- 5+  0 -4 -2 17+ -4
Curve Equation t Generators 79050t1 [1,0,1,-12651,10198] 2 [112:-19:1]&[-1176:19262:27] 79050t2 [1,0,1,-140651,20234198] 4 [-154:6261:1]&[111:2392:1] 79050t3 [1,0,1,-80651,37634198] 2 [236:5517:1]&[992:30066:1] 79050t4 [1,0,1,-2248651,1297682198] 2 [862:-244:1]&[-488:47981:1]
79050u (1 curve)	2	2+ 3- 5+ 17+ 31+	2+ 3- 5+ -3 -1  1 17+ -7
Curve Equation t Generators 79050u1 [1,0,1,5099,53948] 1 [82:971:1]&[1:242:1]
79050v (1 curve)	2	2+ 3- 5+ 17+ 31+	2+ 3- 5+ -3 -3 -4 17+ -3
Curve Equation t Generators 79050v1 [1,0,1,-39001,2961398] 1 [112:-19:1]&[-18:1921:1]
79050w (4 curves)	0	2+ 3- 5+ 17+ 31+	2+ 3- 5+  4 -4 -2 17+  4
Curve Equation t 79050w1 [1,0,1,453999,24210148] 2 79050w2 [1,0,1,-1858001,195298148] 4 79050w3 [1,0,1,-18195001,-29701411852] 2 79050w4 [1,0,1,-22513001,41050888148] 2
79050x (1 curve)	1	2+ 3- 5+ 17- 31+	2+ 3- 5+  2  3 -1 17- -6
Curve Equation t Generators 79050x1 [1,0,1,-136026,-38008052] 1 [1037:-31119:1]
79050y (2 curves)	1	2+ 3- 5+ 17- 31+	2+ 3- 5+ -2  0  4 17-  4
Curve Equation t Generators 79050y1 [1,0,1,-3257901,5096217448] 2 [-1568:80471:1] 79050y2 [1,0,1,-68605901,218522785448] 2 [4362:45406:1]
79050z (1 curve)	0	2+ 3- 5+ 17- 31-	2+ 3- 5+ -1  1  0 17- -7
Curve Equation t 79050z1 [1,0,1,-651,-25802] 1
79050ba (1 curve)	0	2+ 3- 5+ 17- 31-	2+ 3- 5+ -4  0  4 17-  2
Curve Equation t 79050ba1 [1,0,1,-345326,-199017952] 1
79050bb (1 curve)	0	2+ 3- 5- 17+ 31-	2+ 3- 5-  4 -4 -4 17+  6
Curve Equation t 79050bb1 [1,0,1,-1701,27598] 1
79050bc (2 curves)	0	2+ 3- 5- 17+ 31-	2+ 3- 5-  5 -3  5 17+  2
Curve Equation t 79050bc1 [1,0,1,-153326,26738048] 3 79050bc2 [1,0,1,1067299,-139266952] 1
79050bd (1 curve)	0	2+ 3- 5- 17- 31+	2+ 3- 5- -3 -2 -1 17-  4
Curve Equation t 79050bd1 [1,0,1,565599,-239500652] 1
79050be (2 curves)	0	2+ 3- 5- 17- 31+	2+ 3- 5- -4  2  4 17- -4
Curve Equation t 79050be1 [1,0,1,-25641,-1753172] 2 79050be2 [1,0,1,-422441,-105714772] 2
79050bf (1 curve)	1	2+ 3- 5- 17- 31-	2+ 3- 5-  1 -3  6 17- -5
Curve Equation t Generators 79050bf1 [1,0,1,53354,-10477912] 1 [352:-7384:1]
79050bg (1 curve)	1	2+ 3- 5- 17- 31-	2+ 3- 5- -3  3  1 17-  7
Curve Equation t Generators 79050bg1 [1,0,1,18764,3124718] 1 [-89:911:1]
79050bh (2 curves)	1	2+ 3- 5- 17- 31-	2+ 3- 5- -4 -2  4 17- -4
Curve Equation t Generators 79050bh1 [1,0,1,-90461,18118568] 2 [-249:5146:1] 79050bh2 [1,0,1,-1724161,870909968] 2 [2386:-102889:1]
79050bi (1 curve)	0	2- 3+ 5+ 17+ 31+	2- 3+ 5+  3 -2  1 17+  4
Curve Equation t 79050bi1 [1,1,1,14139987,-29937581469] 1
79050bj (1 curve)	2	2- 3+ 5+ 17+ 31+	2- 3+ 5+ -3 -5  1 17+  1
Curve Equation t Generators 79050bj1 [1,1,1,-963,13281] 1 [-35:92:1]&[15:-58:1]
79050bk (1 curve)	1	2- 3+ 5+ 17+ 31-	2- 3+ 5+ -1  5  1 17+ -3
Curve Equation t Generators 79050bk1 [1,1,1,-11688,-930219] 1 [409:7727:1]
79050bl (1 curve)	1	2- 3+ 5+ 17+ 31-	2- 3+ 5+  2 -1 -5 17+ -6
Curve Equation t Generators 79050bl1 [1,1,1,-1907938,1384492031] 1 [1075:23487:1]
79050bm (2 curves)	1	2- 3+ 5+ 17+ 31-	2- 3+ 5+ -2 -4 -4 17+  4
Curve Equation t Generators 79050bm1 [1,1,1,2470437,-1409197719] 2 [1569:78792:1] 79050bm2 [1,1,1,-13866563,-13204511719] 2 [4669:152138:1]
79050bn (4 curves)	0	2- 3+ 5+ 17- 31-	2- 3+ 5+  0  0 -6 17-  4
Curve Equation t 79050bn1 [1,1,1,24412,7477781] 4 79050bn2 [1,1,1,-456088,111265781] 4 79050bn3 [1,1,1,-1424838,-520359219] 2 79050bn4 [1,1,1,-7175338,7394932781] 2
79050bo (2 curves)	2	2- 3+ 5+ 17- 31-	2- 3+ 5+  1 -3 -5 17- -7
Curve Equation t Generators 79050bo1 [1,1,1,-1930588,1031710781] 1 [-1075:43737:1]&[-935:45417:1] 79050bo2 [1,1,1,-430963,2581695281] 1 [-1405:21102:1]&[1955:-96978:1]
79050bp (1 curve)	0	2- 3+ 5+ 17- 31-	2- 3+ 5+  2 -5  7 17-  2
Curve Equation t 79050bp1 [1,1,1,3162,516531] 1
79050bq (1 curve)	0	2- 3+ 5+ 17- 31-	2- 3+ 5+ -4 -4  4 17-  6
Curve Equation t 79050bq1 [1,1,1,-42513,3449781] 1
79050br (2 curves)	2	2- 3+ 5+ 17- 31-	2- 3+ 5+ -5 -3 -5 17-  2
Curve Equation t Generators 79050br1 [1,1,1,-6133,211451] 1 [-79:498:1]&[-11:532:1] 79050br2 [1,1,1,42692,-1097059] 1 [29:393:1]&[238:3459:8]
79050bs (2 curves)	1	2- 3+ 5- 17+ 31+	2- 3+ 5-  4  2 -4 17+ -4
Curve Equation t Generators 79050bs1 [1,1,1,-641013,-219146469] 2 [5399:389388:1] 79050bs2 [1,1,1,-10561013,-13214346469] 2 [157773:-9611276:27]
79050bt (1 curve)	2	2- 3+ 5- 17+ 31-	2- 3+ 5- -1 -3 -6 17+ -5
Curve Equation t Generators 79050bt1 [1,1,1,1333862,-1309738969] 1 [985:-31493:1]&[6630:149681:8]
79050bu (1 curve)	0	2- 3+ 5- 17+ 31-	2- 3+ 5-  3  3 -1 17+  7
Curve Equation t 79050bu1 [1,1,1,469112,390589781] 1
79050bv (1 curve)	0	2- 3+ 5- 17+ 31-	2- 3+ 5-  4  0 -4 17+  2
Curve Equation t 79050bv1 [1,1,1,-13813,-1597669] 1
79050bw (2 curves)	0	2- 3+ 5- 17+ 31-	2- 3+ 5-  4 -2 -4 17+ -4
Curve Equation t 79050bw1 [1,1,1,-2261513,2264821031] 2 79050bw2 [1,1,1,-43104013,108863746031] 2
79050bx (1 curve)	1	2- 3- 5+ 17+ 31+	2- 3- 5+  1  1  3 17+  0
Curve Equation t Generators 79050bx1 [1,0,0,-56358,5155812] 1 [156:-486:1]
79050by (1 curve)	1	2- 3- 5+ 17+ 31+	2- 3- 5+  1 -1  1 17+ -8
Curve Equation t Generators 79050by1 [1,0,0,-103,-4663] 1 [26:89:1]
79050bz (1 curve)	1	2- 3- 5+ 17+ 31+	2- 3- 5+  1 -1 -7 17+ -4
Curve Equation t Generators 79050bz1 [1,0,0,-16963138,26889616892] 1 [2378:-1138:1]
79050ca (2 curves)	0	2- 3- 5+ 17+ 31-	2- 3- 5+  0  0  2 17+  4
Curve Equation t 79050ca1 [1,0,0,-8588,329292] 2 79050ca2 [1,0,0,-140338,20223542] 2
79050cb (4 curves)	0	2- 3- 5+ 17+ 31-	2- 3- 5+  0  0  2 17+  4
Curve Equation t 79050cb1 [1,0,0,-8339438,-9270128508] 2 79050cb2 [1,0,0,-8371438,-9195408508] 4 79050cb3 [1,0,0,-621438,-25555658508] 2 79050cb4 [1,0,0,-16633438,11947049492] 2
79050cc (1 curve)	0	2- 3- 5+ 17+ 31-	2- 3- 5+ -1 -5  1 17+ -6
Curve Equation t 79050cc1 [1,0,0,-638,60642] 1
79050cd (1 curve)	0	2- 3- 5+ 17- 31+	2- 3- 5+ -1 -2  3 17-  4
Curve Equation t 79050cd1 [1,0,0,-233,-1773] 1
79050ce (1 curve)	0	2- 3- 5+ 17- 31+	2- 3- 5+  5  1  3 17-  4
Curve Equation t 79050ce1 [1,0,0,111150612,-11359210608] 1
79050cf (1 curve)	1	2- 3- 5+ 17- 31-	2- 3- 5+ -1  3  4 17-  5
Curve Equation t Generators 79050cf1 [1,0,0,17187,-4117383] 1 [312:-5781:1]
79050cg (1 curve)	2	2- 3- 5- 17+ 31+	2- 3- 5- -5 -5 -6 17+ -1
Curve Equation t Generators 79050cg1 [1,0,0,-65808,6988032] 1 [-144:3744:1]&[-2274:14397:8]
79050ch (1 curve)	1	2- 3- 5- 17+ 31-	2- 3- 5- -2  3 -3 17+  4
Curve Equation t Generators 79050ch1 [1,0,0,-18,2052] 1 [12:54:1]
79050ci (1 curve)	1	2- 3- 5- 17- 31+	2- 3- 5- -1  3 -2 17- -1
Curve Equation t Generators 79050ci1 [1,0,0,-103883,-12908943] 1 [522:8409:1]
79050cj (1 curve)	1	2- 3- 5- 17- 31+	2- 3- 5- -1  5  1 17- -1
Curve Equation t Generators 79050cj1 [1,0,0,-353,170697] 1 [-38:379:1]
79050ck (1 curve)	1	2- 3- 5- 17- 31+	2- 3- 5-  2 -1  7 17- -4
Curve Equation t Generators 79050ck1 [1,0,0,-1116425138,14357862365892] 1 [20002:-182126:1]
79050cl (2 curves)	0	2- 3- 5- 17- 31-	2- 3- 5- -1 -6  5 17- -4
Curve Equation t 79050cl1 [1,0,0,-40388,-3418608] 3 79050cl2 [1,0,0,-3355388,-2365993608] 1
79050cm (2 curves)	0	2- 3- 5- 17- 31-	2- 3- 5-  2 -2 -2 17-  0
Curve Equation t 79050cm1 [1,0,0,43487,5200517] 2 79050cm2 [1,0,0,-317763,54691767] 2

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