Cremona's table of elliptic curves

32825 = 5² · 13 · 101

Class	r	Atkin-Lehner	Eigenvalues
32825a (2 curves)	1	5+ 13+ 101+	-1  0 5+  0  4 13+  6  6
Curve Equation t Generators 32825a1 [1,-1,1,-3575005,-2600840628] 2 [-429974683284:214000644720:393832837] 32825a2 [1,-1,1,-3562380,-2620131628] 2 [229244016591197072687:-1010192837902399268310:104699556657754759]
32825b (1 curve)	1	5+ 13+ 101+	-1  3 5+  0 -2 13+ -6 -3
Curve Equation t Generators 32825b1 [1,-1,1,2070,60322] 1 [464010:5542918:3375]
32825c (1 curve)	0	5+ 13- 101+	1 -1 5+ -2 -4 13-  1  3
Curve Equation t 32825c1 [1,1,0,9850,405625] 1
32825d (2 curves)	0	5+ 13- 101+	1  2 5+  0 -2 13-  6 -8
Curve Equation t 32825d1 [1,1,0,-22000,1240875] 2 32825d2 [1,1,0,-34625,-362500] 2
32825e (2 curves)	2	5+ 13- 101+	-1  2 5+ -4 -4 13- -2  2
Curve Equation t Generators 32825e1 [1,1,1,-17088,852656] 2 [-150:337:1]&[66:100:1] 32825e2 [1,1,1,-16963,865906] 2 [-5:977:1]&[76:113:1]
32825f (1 curve)	0	5+ 13- 101+	-1  3 5+ -2  4 13- -3  5
Curve Equation t 32825f1 [1,-1,1,45,172] 1
32825g (1 curve)	0	5- 13+ 101+	-1  0 5-  5 -6 13+  6 -4
Curve Equation t 32825g1 [1,-1,1,-55,-2428] 1
32825h (1 curve)	1	5- 13- 101+	1  0 5- -5 -6 13- -6 -4
Curve Equation t Generators 32825h1 [1,-1,0,-2,-19] 1 [4:3:1]
32825i (1 curve)	1	5- 13- 101+	1 -3 5-  0 -2 13-  6 -3
Curve Equation t Generators 32825i1 [1,-1,0,83,466] 1 [14:58:1]

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

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