Cremona's table of elliptic curves

75429 = 3² · 17² · 29

Class	r	Atkin-Lehner	Eigenvalues
75429a (1 curve)	1	3+ 17+ 29+	0 3+ -1 -4 -1 -1 17+ -7
Curve Equation t Generators 75429a1 [0,0,1,31212,-3349438] 1 [238:-4191:1]
75429b (1 curve)	2	3+ 17+ 29-	0 3+  1 -4  1 -1 17+ -7
Curve Equation t Generators 75429b1 [0,0,1,3468,124053] 1 [-663:-4204:27]&[17:-434:1]
75429c (1 curve)	0	3- 17+ 29+	0 3- -1  2  3 -5 17+ -7
Curve Equation t 75429c1 [0,0,1,-25675338,-52686278735] 1
75429d (1 curve)	2	3- 17+ 29+	1 3-  0  1 -2 -1 17+ -5
Curve Equation t Generators 75429d1 [1,-1,0,-972,-43983] 1 [48:111:1]&[64:359:1]
75429e (1 curve)	0	3- 17+ 29+	1 3-  0  1  6  7 17+ -1
Curve Equation t 75429e1 [1,-1,0,-16681365297,829273309894894] 1
75429f (1 curve)	0	3- 17+ 29+	1 3- -2  5  0  7 17+  5
Curve Equation t 75429f1 [1,-1,0,-20133528,-106082218351] 1
75429g (4 curves)	0	3- 17+ 29+	-1 3-  2  0  4 -2 17+  8
Curve Equation t 75429g1 [1,-1,1,131296,-153781014] 2 75429g2 [1,-1,1,-3627149,-2545655412] 4 75429g3 [1,-1,1,-10038614,8938560696] 2 75429g4 [1,-1,1,-57350804,-167154934332] 2
75429h (1 curve)	2	3- 17+ 29+	-1 3- -2 -1  0 -1 17+ -1
Curve Equation t Generators 75429h1 [1,-1,1,22054,187782] 1 [149:2526:1]&[14:699:1]
75429i (1 curve)	0	3- 17+ 29+	2 3-  1  0 -3  3 17+  1
Curve Equation t 75429i1 [0,0,1,51153,11030913] 1
75429j (2 curves)	0	3- 17+ 29+	2 3-  1  2 -3 -1 17+  5
Curve Equation t 75429j1 [0,0,1,-15788937,-24391289831] 1 75429j2 [0,0,1,102270453,845861616139] 1
75429k (1 curve)	0	3- 17+ 29+	2 3-  1  3  6  3 17+  4
Curve Equation t 75429k1 [0,0,1,-386427,-88697547] 1
75429l (1 curve)	0	3- 17+ 29+	2 3- -1  3 -2 -5 17+  2
Curve Equation t 75429l1 [0,0,1,-250563,-37981175] 1
75429m (1 curve)	0	3- 17+ 29+	2 3- -3  2  5 -1 17+ -7
Curve Equation t 75429m1 [0,0,1,-708339,990506245] 1
75429n (1 curve)	1	3- 17+ 29-	0 3-  1 -1 -2 -1 17+ -4
Curve Equation t Generators 75429n1 [0,0,1,-102,378] 1 [2:13:1]
75429o (1 curve)	1	3- 17+ 29-	0 3-  1  2  1 -1 17+  5
Curve Equation t Generators 75429o1 [0,0,1,-16062042,-31518652626] 1 [821016020:16120263262:166375]
75429p (1 curve)	1	3- 17+ 29-	0 3-  1 -2 -3 -5 17+ -7
Curve Equation t Generators 75429p1 [0,0,1,-88842,-10723851] 1 [2099:95134:1]
75429q (1 curve)	1	3- 17+ 29-	0 3- -3 -2 -3  7 17+ -3
Curve Equation t Generators 75429q1 [0,0,1,-45084,-3914433] 1 [1139:37714:1]
75429r (1 curve)	1	3- 17+ 29-	1 3-  0 -1  2 -1 17+ -5
Curve Equation t Generators 75429r1 [1,-1,0,-280962,-217212251] 1 [10460:1063043:1]
75429s (1 curve)	1	3- 17+ 29-	1 3-  0 -1 -6  7 17+ -1
Curve Equation t Generators 75429s1 [1,-1,0,-57720987,168805217862] 1 [4398:-894:1]
75429t (1 curve)	1	3- 17+ 29-	1 3-  1  2  3  1 17+ -4
Curve Equation t Generators 75429t1 [1,-1,0,-147444,-27566983] 1 [14560812584:86324979649:30664297]
75429u (1 curve)	1	3- 17+ 29-	-1 3-  0  1 -4  1 17+ -3
Curve Equation t Generators 75429u1 [1,-1,1,-4149950,-4103281024] 1 [3491474678:4511902496:1442897]
75429v (1 curve)	1	3- 17- 29+	0 3- -1  1  2 -1 17- -4
Curve Equation t Generators 75429v1 [0,0,1,-29478,1858342] 1 [578:2597:8]
75429w (1 curve)	1	3- 17- 29+	-1 3-  0 -1  4  1 17- -3
Curve Equation t Generators 75429w1 [1,-1,1,-14360,-831810] 1 [200:1965:1]
75429x (1 curve)	0	3- 17- 29-	2 3-  1 -3  2 -5 17-  2
Curve Equation t 75429x1 [0,0,1,-867,-7731] 1
75429y (1 curve)	0	3- 17- 29-	2 3- -1 -3 -6  3 17-  4
Curve Equation t 75429y1 [0,0,1,-111677403,-435771047183] 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