Cremona's table of elliptic curves

21725 = 5² · 11 · 79

Class	r	Atkin-Lehner	Eigenvalues
21725a (1 curve)	1	5+ 11+ 79+	-1 -1 5+  5 11+ -5  0 -4
Curve Equation t Generators 21725a1 [1,1,1,-3438,76156] 1 [34:-12:1]
21725b (1 curve)	1	5+ 11+ 79+	2 -1 5+  2 11+ -2  0  2
Curve Equation t Generators 21725b1 [0,-1,1,242,-707] 1 [3272:16413:512]
21725c (2 curves)	0	5+ 11- 79+	1  2 5+ -4 11- -2  0 -4
Curve Equation t 21725c1 [1,1,0,-50,-625] 2 21725c2 [1,1,0,-1425,-21250] 2
21725d (1 curve)	1	5+ 11- 79-	-1  1 5+ -1 11- -1  8  0
Curve Equation t Generators 21725d1 [1,0,0,-12813,555242] 1 [61:9:1]
21725e (1 curve)	1	5- 11- 79+	1  2 5-  1 11-  3  0  1
Curve Equation t Generators 21725e1 [1,1,0,-2700,57125] 1 [260:3995:1]
21725f (1 curve)	1	5- 11- 79+	-1 -2 5- -1 11- -3  0  1
Curve Equation t Generators 21725f1 [1,0,0,-108,457] 1 [-3:29:1]

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

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