Cremona's table of elliptic curves

12410 = 2 · 5 · 17 · 73

Class	r	Atkin-Lehner	Eigenvalues
12410a (1 curve)	0	2+ 5+ 17+ 73-	2+  3 5+  3  1 -2 17+  0
Curve Equation t 12410a1 [1,-1,0,-7180,235976] 1
12410b (1 curve)	1	2+ 5+ 17- 73-	2+ -1 5+ -3 -3 -4 17-  4
Curve Equation t Generators 12410b1 [1,1,0,-264693,-52523987] 1 [-299:158:1]
12410c (2 curves)	1	2+ 5- 17+ 73-	2+  1 5- -1 -3 -4 17+  8
Curve Equation t Generators 12410c1 [1,0,1,-1633,19468] 3 [74:515:1] 12410c2 [1,0,1,-43608,-3507162] 1 [108402:2117237:216]
12410d (1 curve)	1	2+ 5- 17+ 73-	2+ -3 5- -1 -3  4 17+  0
Curve Equation t Generators 12410d1 [1,-1,0,-13531864,18067133248] 1 [5287:304419:1]
12410e (1 curve)	1	2+ 5- 17- 73+	2+  1 5-  1 -5  0 17- -2
Curve Equation t Generators 12410e1 [1,0,1,-1008,10398] 1 [12:2:1]
12410f (1 curve)	1	2+ 5- 17- 73+	2+ -1 5- -3  3  6 17-  0
Curve Equation t Generators 12410f1 [1,1,0,-37,-19] 1 [-5:11:1]
12410g (2 curves)	1	2+ 5- 17- 73+	2+  2 5-  0  0  0 17-  0
Curve Equation t Generators 12410g1 [1,1,0,-2159382,1220456864] 2 [623:10526:1] 12410g2 [1,1,0,-2159632,1220159814] 2 [1095:12483:1]
12410h (2 curves)	1	2+ 5- 17- 73+	2+ -2 5-  0  0  0 17-  8
Curve Equation t Generators 12410h1 [1,0,1,-293,-1392] 2 [-13:22:1] 12410h2 [1,0,1,-4293,-108592] 2 [-38:22:1]
12410i (2 curves)	0	2+ 5- 17- 73-	2+  2 5- -2  6  2 17- -8
Curve Equation t 12410i1 [1,1,0,-46842,-3921004] 2 12410i2 [1,1,0,-41722,-4804716] 2
12410j (1 curve)	0	2- 5+ 17+ 73+	2-  1 5+  3 -3  0 17+ -4
Curve Equation t 12410j1 [1,0,0,-256,1510] 1
12410k (1 curve)	1	2- 5+ 17+ 73-	2- -1 5+ -5  3 -4 17+  4
Curve Equation t Generators 12410k1 [1,1,1,-876,9613] 1 [19:7:1]
12410l (1 curve)	1	2- 5+ 17- 73+	2-  1 5+ -1  1  6 17- -2
Curve Equation t Generators 12410l1 [1,0,0,-421,-3359] 1 [-12:7:1]
12410m (1 curve)	1	2- 5+ 17- 73+	2- -1 5+  1  5 -4 17- -2
Curve Equation t Generators 12410m1 [1,1,1,-9026,326223] 1 [49:43:1]
12410n (2 curves)	2	2- 5+ 17- 73-	2- -2 5+ -4  0 -6 17- -4
Curve Equation t Generators 12410n1 [1,0,0,-561,4585] 2 [-26:55:1]&[-22:91:1] 12410n2 [1,0,0,719,22761] 2 [-16:93:1]&[-14:107:1]
12410o (2 curves)	0	2- 5- 17+ 73-	2-  1 5- -1  3  2 17+  8
Curve Equation t 12410o1 [1,0,0,-90585,-10305775] 3 12410o2 [1,0,0,-7299335,-7591155025] 1
12410p (1 curve)	2	2- 5- 17+ 73-	2- -3 5- -3 -5 -2 17+ -6
Curve Equation t Generators 12410p1 [1,-1,1,-1377,14001] 1 [-41:36:1]&[-29:184:1]
12410q (1 curve)	0	2- 5- 17- 73+	2- -1 5-  1  5 -4 17-  4
Curve Equation t 12410q1 [1,1,1,-4555,-120225] 1

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