Cremona's table of elliptic curves

10404 = 2² · 3² · 17²

Class	r	Atkin-Lehner	Eigenvalues
10404a (2 curves)	0	2- 3+ 17+	2- 3+  0  1  0  5 17+ -1
Curve Equation t 10404a1 [0,0,0,0,1419857] 1 10404a2 [0,0,0,0,-38336139] 1
10404b (4 curves)	0	2- 3+ 17+	2- 3+  0  4  0  2 17+  8
Curve Equation t 10404b1 [0,0,0,0,4913] 2 10404b2 [0,0,0,-4335,108086] 2 10404b3 [0,0,0,0,-132651] 2 10404b4 [0,0,0,-39015,-2918322] 2
10404c (2 curves)	2	2- 3+ 17+	2- 3+  0 -5  0 -7 17+ -7
Curve Equation t Generators 10404c1 [0,0,0,0,17] 1 [-2:3:1]&[-1:4:1] 10404c2 [0,0,0,0,-459] 1 [15:54:1]&[19:80:1]
10404d (2 curves)	0	2- 3+ 17+	2- 3+  3 -2  3 -1 17+ -7
Curve Equation t 10404d1 [0,0,0,-6936,-1395292] 1 10404d2 [0,0,0,-1186056,-497175948] 1
10404e (2 curves)	2	2- 3+ 17+	2- 3+ -3 -2 -3 -1 17+ -7
Curve Equation t Generators 10404e1 [0,0,0,-131784,18413924] 1 [-395:2973:1]&[-68:5202:1] 10404e2 [0,0,0,-62424,37672884] 1 [-323:4913:1]&[357:7803:1]
10404f (2 curves)	1	2- 3+ 17-	2- 3+  0 -1  0  5 17- -1
Curve Equation t Generators 10404f1 [0,0,0,0,289] 3 [-4:15:1] 10404f2 [0,0,0,0,-7803] 1 [546:4455:8]
10404g (2 curves)	1	2- 3+ 17-	2- 3+  0  5  0 -7 17- -7
Curve Equation t Generators 10404g1 [0,0,0,0,83521] 3 [42:397:1] 10404g2 [0,0,0,0,-2255067] 1 [2142903:29481220:9261]
10404h (1 curve)	1	2- 3- 17+	2- 3-  1  0  5 -5 17+  1
Curve Equation t Generators 10404h1 [0,0,0,-13872,962948] 1 [68:578:1]
10404i (1 curve)	1	2- 3- 17+	2- 3-  1  2 -3  3 17+ -3
Curve Equation t Generators 10404i1 [0,0,0,-117912,-335086252] 1 [16570512935:-518459127869:12977875]
10404j (1 curve)	1	2- 3- 17+	2- 3- -1 -2  3  3 17+ -3
Curve Equation t Generators 10404j1 [0,0,0,-408,-68204] 1 [53:243:1]
10404k (1 curve)	1	2- 3- 17+	2- 3- -1 -4  3  3 17+  1
Curve Equation t Generators 10404k1 [0,0,0,-4217088,3337951156] 1 [1181:2187:1]
10404l (1 curve)	1	2- 3- 17+	2- 3-  2 -1  0 -3 17+  1
Curve Equation t Generators 10404l1 [0,0,0,-2244,-41123] 1 [1131:38002:1]
10404m (1 curve)	1	2- 3- 17+	2- 3- -2 -3 -4  1 17+  7
Curve Equation t Generators 10404m1 [0,0,0,204,-799] 1 [16:81:1]
10404n (1 curve)	0	2- 3- 17-	2- 3-  2  3  4  1 17-  7
Curve Equation t 10404n1 [0,0,0,58956,-3925487] 1
10404o (1 curve)	0	2- 3- 17-	2- 3- -2  1  0 -3 17-  1
Curve Equation t 10404o1 [0,0,0,-648516,-202037299] 1

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