Cremona's table of elliptic curves

82325 = 5² · 37 · 89

Class	r	Atkin-Lehner	Eigenvalues
82325a (1 curve)	1	5+ 37+ 89+	0  2 5+  2 -3  1  0 -5
Curve Equation t Generators 82325a1 [0,-1,1,-283,-532] 1 [-12:31:1]
82325b (1 curve)	2	5+ 37- 89+	1  0 5+ -2 -4  4  1 -8
Curve Equation t Generators 82325b1 [1,-1,0,-2042,36241] 1 [-58:1829:8]&[24:-37:1]
82325c (1 curve)	2	5+ 37- 89+	-1 -1 5+  0  0 -4  3 -5
Curve Equation t Generators 82325c1 [1,1,1,-6438,196156] 1 [49:12:1]&[46:-20:1]
82325d (1 curve)	2	5+ 37- 89+	-2  0 5+  4  5 -5 -2 -5
Curve Equation t Generators 82325d1 [0,0,1,-3875,-92844] 1 [-36:0:1]&[195:2562:1]
82325e (1 curve)	1	5+ 37- 89-	0 -1 5+  1 -1 -4  6  0
Curve Equation t Generators 82325e1 [0,-1,1,-31133,2037168] 1 [-22:1646:1]
82325f (1 curve)	1	5+ 37- 89-	0  2 5+ -2  5 -1  0 -3
Curve Equation t Generators 82325f1 [0,-1,1,-1602133,780055043] 1 [201:21589:1]
82325g (1 curve)	1	5+ 37- 89-	0 -3 5+  3 -5  4  0  2
Curve Equation t Generators 82325g1 [0,0,1,-212050,-37584219] 1 [875:21137:1]

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

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