Cremona's table of elliptic curves

12675 = 3 · 5² · 13²

Class	r	Atkin-Lehner	Eigenvalues
12675a (2 curves)	1	3+ 5+ 13+	0 3+ 5+  1  6 13+  0 -4
Curve Equation t Generators 12675a1 [0,-1,1,1244967,277228343] 1 [2166403967:125210433902:753571] 12675a2 [0,-1,1,-13584783,-23784041032] 1 [262922131844485396207660844108:2580111952710510385179342322628:59675346387377261713040869]
12675b (2 curves)	1	3+ 5+ 13+	0 3+ 5+ -1 -6 13+  0  4
Curve Equation t Generators 12675b1 [0,-1,1,7367,123918] 1 [12:462:1] 12675b2 [0,-1,1,-80383,-10800957] 1 [80826:8120571:8]
12675c (1 curve)	1	3+ 5+ 13+	1 3+ 5+ -3 -2 13+ -2 -1
Curve Equation t Generators 12675c1 [1,1,0,-2200,58375] 1 [66:421:1]
12675d (1 curve)	1	3+ 5+ 13+	1 3+ 5+  4  5 13+ -2  6
Curve Equation t Generators 12675d1 [1,1,0,-278515,-56682530] 1 [-76360662:60745042:250047]
12675e (8 curves)	1	3+ 5+ 13+	-1 3+ 5+  0 -4 13+ -2  4
Curve Equation t Generators 12675e1 [1,1,1,-464838,121785906] 4 [226:5210:1] 12675e2 [1,1,1,-485963,110082656] 4 [201:4435:1] 12675e3 [1,1,1,-2197088,-1149305344] 4 [-6842:85429:8] 12675e4 [1,1,1,887162,620885156] 2 [265:29442:1] 12675e5 [1,1,1,-34328213,-77428596094] 4 [-27818878642:12897787705:8242408] 12675e6 [1,1,1,2556037,-5436624094] 2 [14955:1830397:1] 12675e7 [1,1,1,-549250088,-4954768596094] 2 [-938661318132611472927082:469309410452853691710805:69369890306765504968] 12675e8 [1,1,1,-33504338,-81320581594] 2 [3374162776329000998:-4533011423811949540595:1870870010248]
12675f (1 curve)	1	3+ 5+ 13+	-1 3+ 5+ -1  1 13+  7  0
Curve Equation t Generators 12675f1 [1,1,1,50612,31877906] 1 [-151:4638:1]
12675g (1 curve)	1	3+ 5+ 13+	-1 3+ 5+  3  2 13+ -2  1
Curve Equation t Generators 12675g1 [1,1,1,-371888,130109156] 1 [4071158:165401536:2197]
12675h (1 curve)	1	3+ 5+ 13+	-1 3+ 5+ -4 -5 13+ -2 -6
Curve Equation t Generators 12675h1 [1,1,1,-1648,-26434] 1 [-24:13:1]
12675i (1 curve)	1	3+ 5+ 13+	2 3+ 5+  0  2 13+  4 -5
Curve Equation t Generators 12675i1 [0,-1,1,22,-37] 1 [366:235:216]
12675j (1 curve)	1	3+ 5+ 13+	2 3+ 5+ -1 -5 13+  7  6
Curve Equation t Generators 12675j1 [0,-1,1,-280258,-89619957] 1 [12291246:356922801:10648]
12675k (1 curve)	1	3+ 5+ 13+	2 3+ 5+ -3  5 13+ -5 -2
Curve Equation t Generators 12675k1 [0,-1,1,-1408,-185157] 1 [618:3207:8]
12675l (1 curve)	1	3+ 5+ 13+	2 3+ 5+  5 -2 13+ -2  0
Curve Equation t Generators 12675l1 [0,-1,1,-758,8543] 1 [26:621:8]
12675m (1 curve)	1	3+ 5+ 13+	-2 3+ 5+  0 -2 13+  4  5
Curve Equation t Generators 12675m1 [0,-1,1,3662,-66012] 1 [71:739:1]
12675n (1 curve)	1	3+ 5+ 13+	-2 3+ 5+ -5  2 13+ -2  0
Curve Equation t Generators 12675n1 [0,-1,1,-128158,18256968] 1 [282:-2113:1]
12675o (2 curves)	0	3+ 5+ 13-	1 3+ 5+  2  0 13-  2 -2
Curve Equation t 12675o1 [1,1,0,-2525,60000] 2 12675o2 [1,1,0,-43150,3431875] 2
12675p (2 curves)	0	3+ 5+ 13-	-1 3+ 5+ -2  0 13-  2  2
Curve Equation t 12675p1 [1,1,1,-426813,133953906] 2 12675p2 [1,1,1,-7292438,7576291406] 2
12675q (1 curve)	0	3+ 5- 13+	0 3+ 5- -1  1 13+  1  4
Curve Equation t 12675q1 [0,-1,1,-14083,8332443] 1
12675r (1 curve)	0	3+ 5- 13+	1 3+ 5- -3  1 13+  5  8
Curve Equation t 12675r1 [1,1,0,-192325,-33847250] 1
12675s (2 curves)	0	3+ 5- 13+	-2 3+ 5-  3 -2 13+  2  5
Curve Equation t 12675s1 [0,-1,1,-1408,-20382] 1 12675s2 [0,-1,1,7042,1002068] 1
12675t (2 curves)	1	3+ 5- 13-	2 3+ 5-  3 -5 13-  3 -6
Curve Equation t Generators 12675t1 [0,-1,1,-15708,763193] 1 [586:121:8] 12675t2 [0,-1,1,98042,-1739307] 1 [2676198:87661503:2744]
12675u (2 curves)	1	3+ 5- 13-	-2 3+ 5- -3  5 13-  3  6
Curve Equation t Generators 12675u1 [0,-1,1,-2654708,1666116818] 1 [958:1098:1] 12675u2 [0,-1,1,16569042,-3754980682] 1 [725914:218884909:8]
12675v (2 curves)	0	3- 5+ 13+	1 3- 5+  2  2 13+  7  6
Curve Equation t 12675v1 [1,0,1,-251,1523] 1 12675v2 [1,0,1,-1876,-173977] 1
12675w (4 curves)	0	3- 5+ 13+	1 3- 5+ -4 -4 13+ -2  0
Curve Equation t 12675w1 [1,0,1,2024,-74527] 2 12675w2 [1,0,1,-19101,-877277] 4 12675w3 [1,0,1,-293726,-61294777] 2 12675w4 [1,0,1,-82476,8248723] 2
12675x (8 curves)	0	3- 5+ 13+	-1 3- 5+  0  4 13+ -2 -4
Curve Equation t 12675x1 [1,0,0,-88,51167] 2 12675x2 [1,0,0,-21213,1170792] 4 12675x3 [1,0,0,-42338,-1554333] 4 12675x4 [1,0,0,-338088,75636417] 2 12675x5 [1,0,0,-570463,-165801208] 4 12675x6 [1,0,0,147787,-11630958] 2 12675x7 [1,0,0,-9126088,-10612219333] 2 12675x8 [1,0,0,-464838,-229070583] 2
12675y (2 curves)	0	3- 5+ 13+	-1 3- 5+ -2 -2 13+  7 -6
Curve Equation t 12675y1 [1,0,0,-42338,3388917] 1 12675y2 [1,0,0,-316963,-381909958] 1
12675z (1 curve)	0	3- 5+ 13+	-1 3- 5+  3  1 13+ -5  8
Curve Equation t 12675z1 [1,0,0,-7693,-270778] 1
12675ba (1 curve)	0	3- 5+ 13+	2 3- 5+  3  1 13+  1  2
Curve Equation t 12675ba1 [0,1,1,-804158,284749469] 1
12675bb (2 curves)	0	3- 5+ 13+	2 3- 5+ -3 -2 13+ -2  5
Curve Equation t 12675bb1 [0,1,1,282,8129] 1 12675bb2 [0,1,1,-35208,-2618131] 1
12675bc (1 curve)	1	3- 5+ 13-	0 3- 5+  3  3 13-  3  0
Curve Equation t Generators 12675bc1 [0,1,1,867,13394] 1 [18:187:1]
12675bd (1 curve)	1	3- 5+ 13-	0 3- 5+ -3 -3 13-  3  0
Curve Equation t Generators 12675bd1 [0,1,1,146467,28841219] 1 [-113:3295:1]
12675be (1 curve)	1	3- 5- 13+	0 3- 5-  1  1 13+ -1  4
Curve Equation t Generators 12675be1 [0,1,1,-563,66434] 1 [82:760:1]
12675bf (1 curve)	1	3- 5- 13+	1 3- 5-  1  1 13+ -7  0
Curve Equation t Generators 12675bf1 [1,0,1,2024,255023] 1 [1:506:1]
12675bg (1 curve)	1	3- 5- 13+	1 3- 5- -3  2 13+  2  1
Curve Equation t Generators 12675bg1 [1,0,1,-14876,1040873] 1 [-13:1116:1]
12675bh (1 curve)	1	3- 5- 13+	1 3- 5-  4 -5 13+  2 -6
Curve Equation t Generators 12675bh1 [1,0,1,-41201,-3221827] 1 [-117:79:1]
12675bi (1 curve)	1	3- 5- 13+	-1 3- 5-  3 -2 13+  2 -1
Curve Equation t Generators 12675bi1 [1,0,0,-88,467] 1 [1:19:1]
12675bj (1 curve)	1	3- 5- 13+	-1 3- 5- -4  5 13+  2  6
Curve Equation t Generators 12675bj1 [1,0,0,-6962888,-7071390483] 1 [-1523:1774:1]
12675bk (1 curve)	1	3- 5- 13+	2 3- 5-  0 -2 13+ -4  5
Curve Equation t Generators 12675bk1 [0,1,1,91542,-8068381] 1 [4842:131309:8]
12675bl (1 curve)	1	3- 5- 13+	-2 3- 5-  0  2 13+ -4 -5
Curve Equation t Generators 12675bl1 [0,1,1,542,-3506] 1 [8:37:1]
12675bm (2 curves)	0	3- 5- 13-	2 3- 5-  3  5 13- -3  6
Curve Equation t 12675bm1 [0,1,1,-106188,13286459] 1 12675bm2 [0,1,1,662762,-29774741] 1
12675bn (2 curves)	2	3- 5- 13-	-2 3- 5- -3 -5 13- -3 -6
Curve Equation t Generators 12675bn1 [0,1,1,-628,5854] 1 [-22:97:1]&[17:-20:1] 12675bn2 [0,1,1,3922,-12346] 1 [4:58:1]&[13:202:1]

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