Cremona's table of elliptic curves

103635 = 3² · 5 · 7² · 47

Class	r	Atkin-Lehner	Eigenvalues
103635a (1 curve)	1	3+ 5+ 7- 47-	0 3+ 5+ 7- -1 -2  3  1
Curve Equation t Generators 103635a1 [0,0,1,-66935568,210782010773] 1 [127407:15299:27]
103635b (2 curves)	1	3+ 5+ 7- 47-	1 3+ 5+ 7-  0  0  6 -8
Curve Equation t Generators 103635b1 [1,-1,0,-1920,55971] 2 [1620:8919:64] 103635b2 [1,-1,0,-36465,2688300] 2 [156:804:1]
103635c (2 curves)	1	3+ 5+ 7- 47-	1 3+ 5+ 7-  2  6 -2  2
Curve Equation t Generators 103635c1 [1,-1,0,-237120,44501715] 2 [4906:339519:1] 103635c2 [1,-1,0,-242265,42473556] 2 [-528:5058:1]
103635d (2 curves)	1	3+ 5+ 7- 47-	-1 3+ 5+ 7- -2 -6 -2 -2
Curve Equation t Generators 103635d1 [1,-1,1,-43553,3509272] 2 [122:-38:1] 103635d2 [1,-1,1,-44498,3349756] 2 [170:737:1]
103635e (1 curve)	1	3+ 5- 7- 47+	0 3+ 5- 7-  1 -2 -3  1
Curve Equation t Generators 103635e1 [0,0,1,-602420112,-5691114290878] 1 [731052:624704062:1]
103635f (2 curves)	1	3+ 5- 7- 47+	1 3+ 5- 7-  2 -6  2 -2
Curve Equation t Generators 103635f1 [1,-1,0,-4839,-128360] 2 [11636:136961:64] 103635f2 [1,-1,0,-4944,-122417] 2 [-46:101:1]
103635g (2 curves)	1	3+ 5- 7- 47+	-1 3+ 5- 7-  0  0 -6 -8
Curve Equation t Generators 103635g1 [1,-1,1,-17282,-1493936] 2 [212:1976:1] 103635g2 [1,-1,1,-328187,-72255914] 2 [-334:289:1]
103635h (2 curves)	1	3+ 5- 7- 47+	-1 3+ 5- 7- -2  6  2  2
Curve Equation t Generators 103635h1 [1,-1,1,-2134082,-1199412224] 2 [-26619482430684:15435235771496:31524548679] 103635h2 [1,-1,1,-2180387,-1144605626] 2 [-1466972:-7262191:2197]
103635i (1 curve)	1	3- 5+ 7+ 47-	1 3- 5+ 7+  4  4 -8  8
Curve Equation t Generators 103635i1 [1,-1,0,-450,-327699] 1 [797913140:7622547577:6331625]
103635j (1 curve)	1	3- 5+ 7+ 47-	2 3- 5+ 7+  0 -3  6 -5
Curve Equation t Generators 103635j1 [0,0,1,1617,-6701] 1 [242:2111:8]
103635k (1 curve)	1	3- 5+ 7- 47+	0 3- 5+ 7- -2 -1 -2  6
Curve Equation t Generators 103635k1 [0,0,1,-2549568,1610813664] 1 [4578:147339:8]
103635l (1 curve)	1	3- 5+ 7- 47+	0 3- 5+ 7- -5 -2  3  5
Curve Equation t Generators 103635l1 [0,0,1,-11928,-505521] 1 [149:1012:1]
103635m (2 curves)	1	3- 5+ 7- 47+	0 3- 5+ 7-  6 -5  6 -2
Curve Equation t Generators 103635m1 [0,0,1,3822,160438] 1 [14:465:1] 103635m2 [0,0,1,-35868,-5479511] 1 [16457:2111042:1]
103635n (2 curves)	1	3- 5+ 7- 47+	1 3- 5+ 7- -6  2  8  4
Curve Equation t Generators 103635n1 [1,-1,0,-1080,6075] 2 [66:435:1] 103635n2 [1,-1,0,-8955,-319950] 2 [-54:90:1]
103635o (4 curves)	0	3- 5+ 7- 47-	1 3- 5+ 7-  0  6 -6  4
Curve Equation t 103635o1 [1,-1,0,-35996645295,2602123226814096] 2 103635o2 [1,-1,0,-574326723420,167527832943610971] 4 103635o3 [1,-1,0,-572707426545,168519465412689096] 2 103635o4 [1,-1,0,-9189227270295,10721775162388595346] 2
103635p (2 curves)	0	3- 5+ 7- 47-	1 3- 5+ 7-  2  4 -2 -2
Curve Equation t 103635p1 [1,-1,0,118620,76962451] 2 103635p2 [1,-1,0,-2150325,1139282500] 2
103635q (2 curves)	0	3- 5+ 7- 47-	1 3- 5+ 7-  2 -6  4 -4
Curve Equation t 103635q1 [1,-1,0,-58095,-4600800] 2 103635q2 [1,-1,0,-254970,45129825] 2
103635r (1 curve)	0	3- 5+ 7- 47-	1 3- 5+ 7-  2  7  1  1
Curve Equation t 103635r1 [1,-1,0,-15885,781906] 1
103635s (1 curve)	0	3- 5+ 7- 47-	1 3- 5+ 7- -3 -3  6  1
Curve Equation t 103635s1 [1,-1,0,-1566000,-753882039] 1
103635t (4 curves)	0	3- 5+ 7- 47-	1 3- 5+ 7- -4 -2 -2  4
Curve Equation t 103635t1 [1,-1,0,-1336680,-594475925] 2 103635t2 [1,-1,0,-1391805,-542735600] 4 103635t3 [1,-1,0,2389770,-2980338845] 2 103635t4 [1,-1,0,-6055380,5205586945] 2
103635u (1 curve)	0	3- 5+ 7- 47-	-1 3- 5+ 7-  2  1  3  3
Curve Equation t 103635u1 [1,-1,1,2857,5856] 1
103635v (1 curve)	0	3- 5+ 7- 47-	-1 3- 5+ 7-  2  2 -2  4
Curve Equation t 103635v1 [1,-1,1,-2813,133242] 1
103635w (2 curves)	0	3- 5+ 7- 47-	-1 3- 5+ 7-  2 -4 -2 -2
Curve Equation t 103635w1 [1,-1,1,-66696188,-209750157858] 2 103635w2 [1,-1,1,-1067300933,-13420534485144] 2
103635x (2 curves)	2	3- 5+ 7- 47-	-1 3- 5+ 7- -4 -6 -6  0
Curve Equation t Generators 103635x1 [1,-1,1,-133643,18813106] 2 [-610:43051:8]&[80:2897:1] 103635x2 [1,-1,1,-94268,30090106] 2 [6830:-629729:125]&[-152:6470:1]
103635y (2 curves)	2	3- 5+ 7- 47-	-1 3- 5+ 7- -6 -2 -4 -4
Curve Equation t Generators 103635y1 [1,-1,1,-2288,-11294] 2 [-40:142:1]&[-10:107:1] 103635y2 [1,-1,1,8737,-95084] 2 [16:212:1]&[23:331:1]
103635z (1 curve)	0	3- 5+ 7- 47-	2 3- 5+ 7-  5  2  7  1
Curve Equation t 103635z1 [0,0,1,6027,107959] 1
103635ba (1 curve)	2	3- 5+ 7- 47-	-2 3- 5+ 7-  0 -3  0  4
Curve Equation t Generators 103635ba1 [0,0,1,1617,23238] 1 [-13:4:1]&[14:-221:1]
103635bb (1 curve)	0	3- 5+ 7- 47-	-2 3- 5+ 7- -1 -2 -5  7
Curve Equation t 103635bb1 [0,0,1,-457023,-2758475372] 1
103635bc (1 curve)	0	3- 5+ 7- 47-	-2 3- 5+ 7-  2  1  4  4
Curve Equation t 103635bc1 [0,0,1,67767,-1815242] 1
103635bd (1 curve)	1	3- 5- 7+ 47+	-1 3- 5- 7+  2 -2  2 -4
Curve Equation t Generators 103635bd1 [1,-1,1,-137822,-45426454] 1 [1186:37594:1]
103635be (2 curves)	0	3- 5- 7- 47+	1 3- 5- 7-  2  6 -4  4
Curve Equation t 103635be1 [1,-1,0,-2846664,1583767723] 2 103635be2 [1,-1,0,-12493539,-15454542902] 2
103635bf (6 curves)	0	3- 5- 7- 47+	1 3- 5- 7-  4  2  2  4
Curve Equation t 103635bf1 [1,-1,0,-2295414,1332173695] 2 103635bf2 [1,-1,0,-3673539,-453600680] 4 103635bf3 [1,-1,0,14462586,-3612913655] 2 103635bf4 [1,-1,0,-43859664,-111600385205] 4 103635bf5 [1,-1,0,-29273589,-187042482320] 2 103635bf6 [1,-1,0,-701423739,-7150034731190] 2
103635bg (1 curve)	0	3- 5- 7- 47+	1 3- 5- 7-  4 -4  8 -8
Curve Equation t 103635bg1 [1,-1,0,-9,958] 1
103635bh (2 curves)	0	3- 5- 7- 47+	-1 3- 5- 7- -4  6  6  0
Curve Equation t 103635bh1 [1,-1,1,-6548492,-6439798466] 2 103635bh2 [1,-1,1,-4619117,-10311668216] 2
103635bi (1 curve)	0	3- 5- 7- 47+	2 3- 5- 7-  0  3 -6  5
Curve Equation t 103635bi1 [0,0,1,79233,2298357] 1
103635bj (1 curve)	0	3- 5- 7- 47+	2 3- 5- 7-  6  3  0  8
Curve Equation t 103635bj1 [0,0,1,-882147,319407345] 1
103635bk (1 curve)	1	3- 5- 7- 47-	0 3- 5- 7- -4  1 -2  6
Curve Equation t Generators 103635bk1 [0,0,1,-2352,-64913] 1 [121:1192:1]
103635bl (1 curve)	1	3- 5- 7- 47-	0 3- 5- 7- -5  2 -3 -5
Curve Equation t Generators 103635bl1 [0,0,1,-584472,173393617] 1 [637:7717:1]
103635bm (1 curve)	1	3- 5- 7- 47-	1 3- 5- 7-  3  3 -6  7
Curve Equation t Generators 103635bm1 [1,-1,0,-2214,21573] 1 [4:111:1]
103635bn (2 curves)	1	3- 5- 7- 47-	1 3- 5- 7- -6 -2 -8 -4
Curve Equation t Generators 103635bn1 [1,-1,0,-52929,-1977872] 2 [-978:13523:8] 103635bn2 [1,-1,0,-438804,110620453] 2 [452:1889:1]
103635bo (1 curve)	1	3- 5- 7- 47-	1 3- 5- 7- -6 -3 -3  1
Curve Equation t Generators 103635bo1 [1,-1,0,-52929,392051610] 1 [-66:19914:1]
103635bp (4 curves)	1	3- 5- 7- 47-	-1 3- 5- 7- -4 -2  6  0
Curve Equation t Generators 103635bp1 [1,-1,1,-162077,25155204] 2 [242:126:1] 103635bp2 [1,-1,1,-164282,24437256] 4 [416:-5496:1] 103635bp3 [1,-1,1,111343,97974006] 2 [1346:-52491:1] 103635bp4 [1,-1,1,-475187,-95074626] 2 [-418:5721:1]
103635bq (2 curves)	1	3- 5- 7- 47-	-1 3- 5- 7- -6  4 -2 -6
Curve Equation t Generators 103635bq1 [1,-1,1,7708,-189066] 2 [72:-894:1] 103635bq2 [1,-1,1,-38597,-1652304] 2 [366:-5941:1]

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

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