Cremona's table of elliptic curves

24475 = 5² · 11 · 89

Class	r	Atkin-Lehner	Eigenvalues
24475a (2 curves)	1	5+ 11+ 89+	-1 -2 5+ -2 11+ -4  6 -4
Curve Equation t Generators 24475a1 [1,0,0,-5088,-135833] 2 [-43:84:1] 24475a2 [1,0,0,-80713,-8832708] 2 [-164:84:1]
24475b (1 curve)	0	5+ 11+ 89-	0 -2 5+  0 11+  1 -6  4
Curve Equation t 24475b1 [0,1,1,17,-181] 1
24475c (2 curves)	0	5+ 11- 89+	1 -2 5+ -2 11-  0  2  8
Curve Equation t 24475c1 [1,0,1,-6651,193073] 2 24475c2 [1,0,1,-22276,-1056927] 2
24475d (2 curves)	1	5+ 11- 89-	1  0 5+ -2 11- -4  2  2
Curve Equation t Generators 24475d1 [1,-1,0,-1067,-12784] 2 [-20:26:1] 24475d2 [1,-1,0,308,-44409] 2 [390:2133:8]
24475e (2 curves)	1	5+ 11- 89-	-1  2 5+  0 11-  0 -2  0
Curve Equation t Generators 24475e1 [1,1,1,-2338,-41594] 2 [-26:62:1] 24475e2 [1,1,1,-36713,-2722844] 2 [-80829:41777:729]
24475f (2 curves)	1	5+ 11- 89-	-1 -2 5+  2 11-  2  2 -6
Curve Equation t Generators 24475f1 [1,0,0,-366163,-85310808] 2 [-349:219:1] 24475f2 [1,0,0,-351038,-92676683] 2 [807:11834:1]

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

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