Cremona's table of elliptic curves

23157 = 3² · 31 · 83

Class	r	Atkin-Lehner	Eigenvalues
23157a (1 curve)	1	3+ 31+ 83+	1 3+  1 -1 -4 -5 -3  6
Curve Equation t Generators 23157a1 [1,-1,0,-129,12232] 1 [8:104:1]
23157b (1 curve)	0	3+ 31+ 83-	-1 3+ -1 -1  4 -5  3  6
Curve Equation t 23157b1 [1,-1,1,-1163,-329102] 1
23157c (1 curve)	0	3- 31+ 83+	0 3-  2  1  6  1  4 -2
Curve Equation t 23157c1 [0,0,1,-84,-221] 1
23157d (2 curves)	2	3- 31+ 83+	1 3- -2 -4 -4  4  0  6
Curve Equation t Generators 23157d1 [1,-1,0,-513,-3920] 2 [-122:169:8]&[-12:26:1] 23157d2 [1,-1,0,-1908,28165] 2 [-28:257:1]&[-4:191:1]
23157e (1 curve)	0	3- 31+ 83+	-2 3- -2  5 -4 -5 -6  0
Curve Equation t 23157e1 [0,0,1,-3375690591,-75164465240240] 1
23157f (1 curve)	2	3- 31- 83-	-2 3- -4 -3  0  3 -2  2
Curve Equation t Generators 23157f1 [0,0,1,-327,-1004] 1 [-16:11:1]&[-94:275:8]

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

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