Cremona's table of elliptic curves

32725 = 5² · 7 · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
32725a (2 curves)	0	5+ 7+ 11+ 17-	1 -2 5+ 7+ 11+  2 17-  0
Curve Equation t 32725a1 [1,0,1,2474,34323] 2 32725a2 [1,0,1,-12401,302073] 2
32725b (1 curve)	0	5+ 7+ 11+ 17-	2 -2 5+ 7+ 11+ -2 17-  8
Curve Equation t 32725b1 [0,1,1,-208,14369] 1
32725c (2 curves)	0	5+ 7+ 11- 17+	0  2 5+ 7+ 11-  4 17+  2
Curve Equation t 32725c1 [0,-1,1,-533,-6227] 1 32725c2 [0,-1,1,-47283,-3941642] 1
32725d (2 curves)	0	5+ 7+ 11- 17+	-1 -2 5+ 7+ 11- -2 17+  0
Curve Equation t 32725d1 [1,0,0,-1961588,-1869882833] 2 32725d2 [1,0,0,-37676463,-88978462958] 2
32725e (1 curve)	0	5+ 7+ 11- 17+	2  0 5+ 7+ 11-  4 17+  6
Curve Equation t 32725e1 [0,0,1,-5,161] 1
32725f (1 curve)	0	5+ 7- 11+ 17+	2  1 5+ 7- 11+  6 17+ -4
Curve Equation t 32725f1 [0,1,1,-558,5419] 1
32725g (1 curve)	0	5+ 7- 11+ 17+	-2 -3 5+ 7- 11+  2 17+  8
Curve Equation t 32725g1 [0,0,1,-10173925,-12490531344] 1
32725h (1 curve)	1	5+ 7- 11+ 17-	0 -2 5+ 7- 11+ -1 17-  4
Curve Equation t Generators 32725h1 [0,1,1,29967,-11476656] 1 [218:2337:1]
32725i (1 curve)	1	5+ 7- 11- 17+	0 -2 5+ 7- 11-  1 17+ -8
Curve Equation t Generators 32725i1 [0,1,1,-133,-11356] 1 [98:962:1]
32725j (1 curve)	1	5+ 7- 11- 17+	1  0 5+ 7- 11- -1 17+ -4
Curve Equation t Generators 32725j1 [1,-1,0,-3542,83741] 1 [28:-91:1]
32725k (4 curves)	1	5+ 7- 11- 17+	1  0 5+ 7- 11- -6 17+ -4
Curve Equation t Generators 32725k1 [1,-1,0,-615724292,-5880526043509] 2 [3205394845362892309777485160104852265625976035570437937265291115662230844996021776687430423152006675034821494650868774:-385237930115868792621017516117091554300532476238909173177999719179019424728937159478089807433522484664939501960847290483:89087501555097783004760772813358980416641167360562375646666597487680382449812121147636421013111782665276968407863] 32725k2 [1,-1,0,-615724417,-5880523536384] 4 [36791115340700598298212337918445781444456236897509220757415680:-12729629112582277839006538091398912094453596746812273264248231728:295070968188230153445057740707335666232566872389226279033] 32725k3 [1,-1,0,-611427542,-5966645802009] 2 [4596848919025080326675459551870684874:685431386937501384391277405512990592563:112392820020230249108030359746661] 32725k4 [1,-1,0,-620023292,-5794240816259] 2 [-316106970742284323225576181899421594:-4255682687947138659280173185417476703:19925009061248086796107082867464]
32725l (1 curve)	1	5+ 7- 11- 17+	-2  0 5+ 7- 11-  0 17+  2
Curve Equation t Generators 32725l1 [0,0,1,-10715,-3672204] 1 [306:-4659:1]
32725m (2 curves)	0	5+ 7- 11- 17-	1 -2 5+ 7- 11- -6 17-  8
Curve Equation t 32725m1 [1,0,1,-276,26573] 2 32725m2 [1,0,1,-15151,710823] 2
32725n (2 curves)	1	5- 7+ 11- 17+	-1  0 5- 7+ 11- -6 17+ -4
Curve Equation t Generators 32725n1 [1,-1,1,-4930,137072] 2 [38:-79:1] 32725n2 [1,-1,1,-79305,8615822] 2 [-181:4215:1]
32725o (1 curve)	1	5- 7+ 11- 17+	2  0 5- 7+ 11- -3 17+  8
Curve Equation t Generators 32725o1 [0,0,1,68388625,-372094905469] 1 [53344286772809028677962450:-29629190119975666178474504441:173033845337495418632]
32725p (1 curve)	0	5- 7+ 11- 17-	2  0 5- 7+ 11-  0 17-  2
Curve Equation t 32725p1 [0,0,1,-267875,-459025469] 1
32725q (1 curve)	1	5- 7- 11+ 17+	-2  2 5- 7- 11+  2 17+  8
Curve Equation t Generators 32725q1 [0,-1,1,-8,118] 1 [1:10:1]
32725r (2 curves)	1	5- 7- 11- 17-	0 -2 5- 7- 11- -4 17-  2
Curve Equation t Generators 32725r1 [0,1,1,-13333,-805006] 3 [1114:1921:8] 32725r2 [0,1,1,-1182083,-495069381] 1 [10906:165665:8]
32725s (2 curves)	1	5- 7- 11- 17-	1  0 5- 7- 11-  6 17- -4
Curve Equation t Generators 32725s1 [1,-1,0,-197,1136] 2 [4:18:1] 32725s2 [1,-1,0,-3172,69561] 2 [270:-57:8]
32725t (1 curve)	1	5- 7- 11- 17-	-2  0 5- 7- 11-  3 17-  8
Curve Equation t Generators 32725t1 [0,0,1,2735545,-2976759244] 1 [1340:55632:1]
32725u (1 curve)	1	5- 7- 11- 17-	-2  0 5- 7- 11- -4 17-  6
Curve Equation t Generators 32725u1 [0,0,1,-125,20156] 1 [-25:87:1]

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

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