Cremona's table of elliptic curves

33712 = 2⁴ · 7² · 43

Class	r	Atkin-Lehner	Eigenvalues
33712a (1 curve)	1	2+ 7+ 43+	2+ -1 -3 7+  5 -6 -1 -7
Curve Equation t Generators 33712a1 [0,-1,0,-2172,-32801] 1 [-33:43:1]
33712b (1 curve)	2	2+ 7+ 43-	2+ -1 -3 7+ -3 -2  3 -3
Curve Equation t Generators 33712b1 [0,-1,0,-212,-1049] 1 [-9:7:1]&[47:301:1]
33712c (1 curve)	0	2+ 7- 43+	2+  0  2 7- -1  1  7 -6
Curve Equation t 33712c1 [0,0,0,196,1372] 1
33712d (4 curves)	0	2+ 7- 43+	2+  0  2 7- -4 -2 -2  0
Curve Equation t 33712d1 [0,0,0,-115199,17556798] 2 33712d2 [0,0,0,-1927219,1029751170] 4 33712d3 [0,0,0,-2011499,934767610] 2 33712d4 [0,0,0,-30835259,65905174538] 4
33712e (1 curve)	0	2+ 7- 43+	2+  1  3 7-  5  6  1  7
Curve Equation t 33712e1 [0,1,0,-44,83] 1
33712f (1 curve)	0	2+ 7- 43+	2+ -2  0 7- -1 -3  7 -2
Curve Equation t 33712f1 [0,1,0,327,-84701] 1
33712g (1 curve)	1	2+ 7- 43-	2+  1  3 7- -3  2 -3  3
Curve Equation t Generators 33712g1 [0,1,0,-10404,380603] 1 [9005:12599:125]
33712h (2 curves)	1	2+ 7- 43-	2+ -2 -2 7- -4  4  6  6
Curve Equation t Generators 33712h1 [0,1,0,-5504,-170108] 2 [184:2254:1] 33712h2 [0,1,0,-89784,-10384844] 2 [356:1702:1]
33712i (1 curve)	0	2- 7+ 43+	2-  3 -1 7+  3  2  3  5
Curve Equation t 33712i1 [0,0,0,-1813,24059] 1
33712j (2 curves)	1	2- 7- 43+	2-  0  4 7-  0 -2 -6  4
Curve Equation t Generators 33712j1 [0,0,0,94717,-93532670] 2 [6893187135:216829306240:6967871] 33712j2 [0,0,0,-2602243,-1547194110] 2 [937217935525958935:-7394697854042467758:498017256934625]
33712k (1 curve)	1	2- 7- 43+	2- -1 -2 7- -5 -2  0 -3
Curve Equation t Generators 33712k1 [0,-1,0,-17690584,28646974448] 1 [1132:100352:1]
33712l (1 curve)	1	2- 7- 43+	2-  2  4 7- -5  1  3 -6
Curve Equation t Generators 33712l1 [0,-1,0,-217821,-39276607] 1 [1859810157217427:-3481745776297530:3436798398571]
33712m (2 curves)	1	2- 7- 43+	2- -2  0 7-  3  1  3  2
Curve Equation t Generators 33712m1 [0,1,0,-653,6439] 1 [-5:98:1] 33712m2 [0,1,0,3267,20551] 1 [79:882:1]
33712n (1 curve)	1	2- 7- 43+	2-  3 -2 7-  3 -2  0  1
Curve Equation t Generators 33712n1 [0,0,0,-931,-28126] 1 [1155:2744:27]
33712o (1 curve)	1	2- 7- 43+	2- -3  1 7-  3 -2 -3 -5
Curve Equation t Generators 33712o1 [0,0,0,-88837,-8252237] 1 [-222:727:1]
33712p (1 curve)	0	2- 7- 43-	2-  1  0 7-  1 -2  4 -5
Curve Equation t 33712p1 [0,1,0,-688,-11180] 1
33712q (1 curve)	0	2- 7- 43-	2- -1  0 7-  1  2 -4  5
Curve Equation t 33712q1 [0,-1,0,-33728,3767296] 1
33712r (1 curve)	0	2- 7- 43-	2- -2  4 7- -3  5  3 -2
Curve Equation t 33712r1 [0,1,0,-261,7027] 1

Data from Elliptic Curve Data by J. E. Cremona.
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