Cremona's table of elliptic curves

32984 = 2³ · 7 · 19 · 31

Class	r	Atkin-Lehner	Eigenvalues
32984a (1 curve)	1	2+ 7+ 19- 31-	2+ -2  0 7+  2  4 -3 19-
Curve Equation t Generators 32984a1 [0,1,0,-33,931] 1 [9:38:1]
32984b (2 curves)	0	2+ 7- 19+ 31+	2+  0  2 7-  0 -2  0 19+
Curve Equation t 32984b1 [0,0,0,-34,33] 2 32984b2 [0,0,0,121,250] 2
32984c (1 curve)	1	2+ 7- 19+ 31-	2+  0  0 7- -4  0 -3 19+
Curve Equation t Generators 32984c1 [0,0,0,9580,-382076] 1 [48:434:1]
32984d (2 curves)	0	2- 7+ 19- 31-	2-  0  2 7+  2  4 -4 19-
Curve Equation t 32984d1 [0,0,0,-3359,-75710] 2 32984d2 [0,0,0,-53899,-4816362] 2
32984e (4 curves)	1	2- 7- 19+ 31+	2-  0 -2 7-  0  2  2 19+
Curve Equation t Generators 32984e1 [0,0,0,529,-195470] 4 [307:5376:1] 32984e2 [0,0,0,-47491,-3893010] 4 [9318:123200:27] 32984e3 [0,0,0,-108251,8101014] 2 [156139950:1826006336:421875] 32984e4 [0,0,0,-755051,-252529594] 2 [66439626:-2456014400:35937]
32984f (2 curves)	0	2- 7- 19+ 31-	2-  2 -2 7- -2 -4 -4 19+
Curve Equation t 32984f1 [0,-1,0,-344,-2596] 2 32984f2 [0,-1,0,-5664,-162196] 2
32984g (2 curves)	0	2- 7- 19- 31+	2- -2  2 7- -4  2 -2 19-
Curve Equation t 32984g1 [0,1,0,7448,0] 2 32984g2 [0,1,0,-29792,-29792] 2

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

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