Cremona's table of elliptic curves

47275 = 5² · 31 · 61

Class	r	Atkin-Lehner	Eigenvalues
47275a (1 curve)	1	5+ 31+ 61+	1 -2 5+  3  3 -5  4  8
Curve Equation t Generators 47275a1 [1,0,1,-1295801,-567855627] 1 [360688639744662729136945:-14160054142019166902478313:163501766672269823875]
47275b (1 curve)	1	5+ 31+ 61+	-1  1 5+ -3  0 -5  2  5
Curve Equation t Generators 47275b1 [1,0,0,-1813,-30008] 1 [87:644:1]
47275c (1 curve)	1	5+ 31+ 61+	-1 -2 5+ -3 -3 -5  8 -4
Curve Equation t Generators 47275c1 [1,0,0,2262,-17783] 1 [51:-506:1]
47275d (1 curve)	0	5+ 31- 61+	1  1 5+  1  0  1  6  3
Curve Equation t 47275d1 [1,0,1,124,-227] 1
47275e (1 curve)	0	5+ 31- 61+	1  1 5+ -1  4 -3  2 -5
Curve Equation t 47275e1 [1,0,1,2224,891073] 1
47275f (1 curve)	2	5+ 31- 61+	-2 -3 5+ -2  2  2 -3 -5
Curve Equation t Generators 47275f1 [0,0,1,-325,-5094] 1 [24:30:1]&[85:762:1]
47275g (1 curve)	0	5- 31- 61-	1 -3 5-  1  4 -1  2  5
Curve Equation t 47275g1 [1,-1,0,383,-584] 1
47275h (1 curve)	0	5- 31- 61-	-1  3 5- -1  4  1 -2  5
Curve Equation t 47275h1 [1,-1,1,15,-8] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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