Cremona's table of elliptic curves

12789 = 3² · 7² · 29

Class	r	Atkin-Lehner	Eigenvalues
12789a (1 curve)	2	3- 7+ 29+	-2 3- -1 7+ -4 -5 -8  8
Curve Equation t Generators 12789a1 [0,0,1,-7203,-234698] 1 [-49:24:1]&[-47:4:1]
12789b (1 curve)	2	3- 7+ 29+	-2 3- -4 7+ -4  1 -2 -1
Curve Equation t Generators 12789b1 [0,0,1,-147,9616] 1 [434:-3217:8]&[-301167922342:140236857933:12829337821]
12789c (2 curves)	1	3- 7+ 29-	0 3-  3 7+ -6 -1  0  2
Curve Equation t Generators 12789c1 [0,0,1,-4116,-100242] 1 [98:661:1] 12789c2 [0,0,1,-34986,2471229] 3 [137:499:1]
12789d (1 curve)	1	3- 7+ 29-	2 3-  1 7+ -2  7 -4 -4
Curve Equation t Generators 12789d1 [0,0,1,-13377,-385961] 1 [-686:2887:8]
12789e (1 curve)	1	3- 7- 29+	1 3-  1 7-  5  5 -4  4
Curve Equation t Generators 12789e1 [1,-1,0,-9,-16794] 1 [38390:86596:1331]
12789f (6 curves)	1	3- 7- 29+	1 3- -2 7- -4  2  2  4
Curve Equation t Generators 12789f1 [1,-1,0,-345753,83869344] 2 [-432:12564:1] 12789f2 [1,-1,0,-5639958,5156776575] 4 [30158:1533223:8] 12789f3 [1,-1,0,-5748003,4949006040] 4 [-786677395140:381578950633455:4982686912] 12789f4 [1,-1,0,-90239193,329967079434] 2 [6098718299100:-3053927374707:1111934656] 12789f5 [1,-1,0,-18728838,-25356051351] 2 [1316880:120952161:125] 12789f6 [1,-1,0,5504112,21955452651] 2 [3660686343834494606:-315558176010539862933:1243059743600648]
12789g (2 curves)	1	3- 7- 29+	-1 3-  0 7-  0  6 -2  0
Curve Equation t Generators 12789g1 [1,-1,1,-230,29180] 2 [16:163:1] 12789g2 [1,-1,1,-15665,751538] 2 [16:702:1]
12789h (2 curves)	1	3- 7- 29+	-1 3-  2 7-  0  4  0 -4
Curve Equation t Generators 12789h1 [1,-1,1,-1049,-12792] 2 [-18:11:1] 12789h2 [1,-1,1,-1364,-4224] 2 [-22:132:1]
12789i (2 curves)	1	3- 7- 29+	-1 3- -2 7-  0 -4  0  4
Curve Equation t Generators 12789i1 [1,-1,1,-51386,4490336] 2 [144:175:1] 12789i2 [1,-1,1,-66821,1582382] 2 [-12:1549:1]
12789j (1 curve)	1	3- 7- 29+	2 3-  2 7-  0 -2 -6  5
Curve Equation t Generators 12789j1 [0,0,1,-1029,46219] 1 [32144:802973:4096]
12789k (1 curve)	1	3- 7- 29+	2 3- -2 7-  0  2  6 -5
Curve Equation t Generators 12789k1 [0,0,1,-21,-135] 1 [420:171:64]
12789l (1 curve)	1	3- 7- 29+	-2 3-  1 7- -4  5  8 -8
Curve Equation t Generators 12789l1 [0,0,1,-147,684] 1 [8:4:1]
12789m (1 curve)	1	3- 7- 29+	-2 3-  4 7- -4 -1  2  1
Curve Equation t Generators 12789m1 [0,0,1,-7203,-3298374] 1 [165:72:1]
12789n (2 curves)	2	3- 7- 29-	0 3- -3 7- -6  1  0 -2
Curve Equation t Generators 12789n1 [0,0,1,-84,292] 1 [2:11:1]&[4:4:1] 12789n2 [0,0,1,-714,-7205] 1 [-17:4:1]&[37:130:1]
12789o (2 curves)	0	3- 7- 29-	-1 3-  2 7-  4  2  4 -2
Curve Equation t 12789o1 [1,-1,1,-4199,111206] 2 12789o2 [1,-1,1,-68144,6863798] 2
12789p (1 curve)	0	3- 7- 29-	2 3- -1 7- -2 -7  4  4
Curve Equation t 12789p1 [0,0,1,-273,1125] 1
12789q (2 curves)	0	3- 7- 29-	2 3- -4 7- -2 -4 -2 -5
Curve Equation t 12789q1 [0,0,1,8673,-10719] 1 12789q2 [0,0,1,-948297,-355478769] 1

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