Cremona's table of elliptic curves

825 = 3 · 5² · 11

Class	r	Atkin-Lehner	Eigenvalues
825a (2 curves)	1	3+ 5+ 11+	0 3+ 5+  1 11+  1  6 -7
Curve Equation t Generators 825a1 [0,-1,1,-23,53] 1 [1:5:1] 825a2 [0,-1,1,127,38] 1 [76:665:1]
825b (4 curves)	1	3- 5+ 11-	-1 3- 5+ -4 11-  2  2  0
Curve Equation t Generators 825b1 [1,0,0,-163,-808] 2 [-7:5:1] 825b2 [1,0,0,-288,567] 4 [-9:54:1] 825b3 [1,0,0,-3663,84942] 2 [-33:429:1] 825b4 [1,0,0,1087,4692] 2 [7:109:1]
825c (2 curves)	1	3- 5- 11+	0 3- 5- -1 11+ -1 -6 -7
Curve Equation t Generators 825c1 [0,1,1,-583,5494] 3 [14:16:1] 825c2 [0,1,1,3167,11119] 1 [362:3989:8]

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

Part of Computational Number Theory
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