Cremona's table of elliptic curves

30597 = 3 · 7 · 31 · 47

Class	r	Atkin-Lehner	Eigenvalues
30597a (1 curve)	0	3+ 7+ 31- 47+	0 3+ -1 7+  4  3  4 -2
Curve Equation t 30597a1 [0,-1,1,-218891,39490643] 1
30597b (1 curve)	1	3+ 7+ 31- 47-	0 3+  1 7+  4 -5  0  2
Curve Equation t Generators 30597b1 [0,-1,1,343975,149559524] 1 [334:17366:1]
30597c (1 curve)	1	3+ 7+ 31- 47-	-2 3+  1 7+ -4  3 -6  8
Curve Equation t Generators 30597c1 [0,-1,1,-8330,682484] 1 [19:-729:1]
30597d (1 curve)	0	3+ 7- 31- 47-	2 3+  3 7-  4 -3  2 -4
Curve Equation t 30597d1 [0,-1,1,196,533] 1
30597e (2 curves)	1	3- 7+ 31- 47+	1 3-  2 7+  6 -4 -4  4
Curve Equation t Generators 30597e1 [1,0,1,765510,-109096409] 2 [11317405:-1054685988:1331] 30597e2 [1,0,1,-3352205,-911227291] 2 [-369:16783:1]
30597f (4 curves)	0	3- 7- 31- 47+	-1 3-  2 7-  0  2 -6 -4
Curve Equation t 30597f1 [1,0,0,-382,-40717] 4 30597f2 [1,0,0,-20227,-1100440] 4 30597f3 [1,0,0,-35032,720575] 2 30597f4 [1,0,0,-322942,-70664347] 2

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

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