Cremona's table of elliptic curves

10675 = 5² · 7 · 61

Class	r	Atkin-Lehner	Eigenvalues
10675a (1 curve)	1	5+ 7+ 61+	0 -2 5+ 7+ -2 -2 -5 -8
Curve Equation t Generators 10675a1 [0,1,1,-33,-156] 1 [8:12:1]
10675b (3 curves)	0	5+ 7+ 61-	0  2 5+ 7+  0  4 -3  2
Curve Equation t 10675b1 [0,-1,1,-122283,16499593] 1 10675b2 [0,-1,1,-119533,17274218] 1 10675b3 [0,-1,1,734467,-15017657] 1
10675c (1 curve)	0	5+ 7+ 61-	-1  1 5+ 7+  5 -2 -3 -3
Curve Equation t 10675c1 [1,0,0,-10588,-159083] 1
10675d (1 curve)	2	5+ 7+ 61-	-1 -1 5+ 7+ -3  4 -5  1
Curve Equation t Generators 10675d1 [1,1,1,-188,906] 1 [-15:32:1]&[4:13:1]
10675e (1 curve)	0	5+ 7+ 61-	-1 -2 5+ 7+  2 -2  3  6
Curve Equation t 10675e1 [1,0,0,-13,-3108] 1
10675f (1 curve)	2	5+ 7- 61+	1 -1 5+ 7- -5 -4  5 -7
Curve Equation t Generators 10675f1 [1,1,0,-700,-7375] 1 [-16:15:1]&[40:155:1]
10675g (1 curve)	2	5+ 7- 61+	-2 -1 5+ 7- -5 -1 -1 -4
Curve Equation t Generators 10675g1 [0,-1,1,-10158,404718] 1 [-18:762:1]&[22:437:1]
10675h (1 curve)	1	5+ 7- 61-	1 -1 5+ 7- -1  2 -7 -1
Curve Equation t Generators 10675h1 [1,1,0,-625,-6250] 1 [-14:8:1]
10675i (2 curves)	1	5+ 7- 61-	1  2 5+ 7-  2  2  2 -4
Curve Equation t Generators 10675i1 [1,1,0,-98875,11925000] 2 [-6900:125950:27] 10675i2 [1,1,0,-92750,13474625] 2 [19070:914615:8]
10675j (2 curves)	1	5+ 7- 61-	-1 -2 5+ 7- -2  2  6 -4
Curve Equation t Generators 10675j1 [1,0,0,-3563,-78008] 2 [-33:79:1] 10675j2 [1,0,0,2562,-316883] 2 [132:1459:1]
10675k (1 curve)	1	5+ 7- 61-	2 -1 5+ 7- -5 -1  7  8
Curve Equation t Generators 10675k1 [0,-1,1,-28076658,58622285343] 1 [27546:420171:8]
10675l (1 curve)	1	5+ 7- 61-	2  2 5+ 7- -2 -4 -5  2
Curve Equation t Generators 10675l1 [0,-1,1,-8,13] 1 [-22:17:8]
10675m (1 curve)	0	5- 7+ 61+	0  3 5- 7+  3  3 -5  2
Curve Equation t 10675m1 [0,0,1,22250,-3496094] 1
10675n (1 curve)	1	5- 7+ 61-	-2 -2 5- 7+ -2  4  5  2
Curve Equation t Generators 10675n1 [0,1,1,-208,1244] 1 [8:12:1]
10675o (1 curve)	1	5- 7- 61+	0 -3 5- 7-  3 -3  5  2
Curve Equation t Generators 10675o1 [0,0,1,890,-27969] 1 [129:1494:1]
10675p (1 curve)	0	5- 7- 61-	1  2 5- 7-  2  2 -3  6
Curve Equation t 10675p1 [1,1,0,0,-25] 1

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