Cremona's table of elliptic curves

35217 = 3² · 7 · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
35217a (2 curves)	2	3- 7+ 13+ 43+	-1 3- -2 7+  0 13+  2 -4
Curve Equation t Generators 35217a1 [1,-1,1,229,1986] 2 [-4:33:1]&[2:48:1] 35217a2 [1,-1,1,-1706,22110] 2 [-46:63:1]&[-22:231:1]
35217b (2 curves)	0	3- 7+ 13+ 43+	-1 3-  4 7+  6 13+ -4 -4
Curve Equation t 35217b1 [1,-1,1,-20948288,-36898535406] 2 35217b2 [1,-1,1,-20849873,-37262474076] 2
35217c (2 curves)	1	3- 7+ 13+ 43-	1 3-  2 7+ -4 13+ -6  4
Curve Equation t Generators 35217c1 [1,-1,0,-177966,-65378313] 2 [136516458:-6487394549:59319] 35217c2 [1,-1,0,-3755781,-2798113410] 2 [-2436174:-2024586:2197]
35217d (2 curves)	1	3- 7+ 13+ 43-	1 3-  4 7+  0 13+  2 -4
Curve Equation t Generators 35217d1 [1,-1,0,-180,-77] 2 [19462:950029:8] 35217d2 [1,-1,0,-2115,-36842] 2 [54:38:1]
35217e (2 curves)	1	3- 7+ 13+ 43-	-1 3-  0 7+  0 13+  2 -4
Curve Equation t Generators 35217e1 [1,-1,1,-201035,-57710942] 2 [1628:61858:1] 35217e2 [1,-1,1,-3778850,-2825508626] 2 [-1124:1529:1]
35217f (2 curves)	1	3- 7- 13+ 43+	1 3-  0 7-  4 13+  6 -4
Curve Equation t Generators 35217f1 [1,-1,0,-2637,52384] 2 [36:38:1] 35217f2 [1,-1,0,-4572,-33143] 2 [-16:197:1]
35217g (2 curves)	1	3- 7- 13+ 43+	-1 3-  0 7-  2 13+  0  4
Curve Equation t Generators 35217g1 [1,-1,1,-725,-7324] 2 [34:63:1] 35217g2 [1,-1,1,-590,-10240] 2 [60:379:1]
35217h (1 curve)	0	3- 7- 13+ 43-	0 3-  1 7- -3 13+  6  6
Curve Equation t 35217h1 [0,0,1,-540732,-153046751] 1
35217i (4 curves)	2	3- 7- 13- 43+	-1 3- -2 7- -4 13- -6 -4
Curve Equation t Generators 35217i1 [1,-1,1,-761,8232] 2 [-31:51:1]&[-10:126:1] 35217i2 [1,-1,1,-1166,-1164] 4 [-28:108:1]&[-13:114:1] 35217i3 [1,-1,1,4639,-12774] 4 [6:120:1]&[8:153:1] 35217i4 [1,-1,1,-13451,-595758] 2 [-67:69:1]&[237:2961:1]
35217j (2 curves)	1	3- 7- 13- 43-	0 3- -3 7-  3 13-  6  2
Curve Equation t Generators 35217j1 [0,0,1,186,-2790] 1 [20:94:1] 35217j2 [0,0,1,-1704,83205] 3 [11:256:1]

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

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