Cremona's table of elliptic curves

17825 = 5² · 23 · 31

Class	r	Atkin-Lehner	Eigenvalues
17825a (1 curve)	2	5+ 23+ 31-	-1 -1 5+  3 -4 -2 -3 -4
Curve Equation t Generators 17825a1 [1,1,1,-13,156] 1 [0:12:1]&[6:15:1]
17825b (1 curve)	1	5+ 23- 31-	-1  1 5+  1 -6  4  7 -4
Curve Equation t Generators 17825b1 [1,0,0,-44588,3701417] 1 [101:430:1]
17825c (1 curve)	1	5+ 23- 31-	-1 -2 5+  1  3  1 -2  5
Curve Equation t Generators 17825c1 [1,0,0,-243,-1478] 1 [-9:5:1]
17825d (1 curve)	1	5+ 23- 31-	2  1 5+  4  0 -2  1 -7
Curve Equation t Generators 17825d1 [0,1,1,92,1719] 1 [-6:321:8]
17825e (1 curve)	0	5- 23+ 31+	1  0 5-  4 -6 -1  0 -5
Curve Equation t 17825e1 [1,-1,0,-377,-13994] 1
17825f (1 curve)	0	5- 23+ 31+	2 -1 5-  4  6  2 -5  5
Curve Equation t 17825f1 [0,-1,1,-178,2383] 1
17825g (1 curve)	0	5- 23+ 31+	-2  3 5- -2  0  2  3  1
Curve Equation t 17825g1 [0,0,1,125,-8594] 1
17825h (1 curve)	1	5- 23+ 31-	1  2 5- -1  3 -1  2  5
Curve Equation t Generators 17825h1 [1,1,0,-6075,-184750] 1 [-46:26:1]
17825i (1 curve)	1	5- 23- 31+	-1  0 5- -4 -6  1  0 -5
Curve Equation t Generators 17825i1 [1,-1,1,-9430,-1758678] 1 [294:4415:1]
17825j (1 curve)	1	5- 23- 31+	2 -3 5-  2  0 -2 -3  1
Curve Equation t Generators 17825j1 [0,0,1,5,-69] 1 [50:111:8]
17825k (1 curve)	1	5- 23- 31+	-2  1 5- -4  6 -2  5  5
Curve Equation t Generators 17825k1 [0,1,1,-4458,288994] 1 [133:1437:1]

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