Cremona's table of elliptic curves

40185 = 3² · 5 · 19 · 47

Class	r	Atkin-Lehner	Eigenvalues
40185a (1 curve)	2	3+ 5+ 19- 47+	1 3+ 5+ -2 -3 -6  3 19-
Curve Equation t Generators 40185a1 [1,-1,0,255,196] 1 [0:14:1]&[46:319:8]
40185b (1 curve)	2	3+ 5- 19- 47-	-1 3+ 5- -2  3 -6 -3 19-
Curve Equation t Generators 40185b1 [1,-1,1,2293,-7586] 1 [112:-1339:1]&[86:1033:8]
40185c (1 curve)	2	3- 5+ 19+ 47+	-1 3- 5+ -2 -5  0 -3 19+
Curve Equation t Generators 40185c1 [1,-1,1,-158,816] 1 [11:-24:1]&[8:0:1]
40185d (2 curves)	0	3- 5+ 19- 47-	0 3- 5+ -4 -6 -1  0 19-
Curve Equation t 40185d1 [0,0,1,-2327010078,-43206169947921] 1 40185d2 [0,0,1,-1836903378,-61910306506476] 3
40185e (2 curves)	0	3- 5+ 19- 47-	-1 3- 5+ -2  2  4  2 19-
Curve Equation t 40185e1 [1,-1,1,-110093,21205356] 2 40185e2 [1,-1,1,-1998788,1087940292] 2
40185f (1 curve)	2	3- 5- 19+ 47-	-1 3- 5- -2 -3 -4  3 19+
Curve Equation t Generators 40185f1 [1,-1,1,1273,995874] 1 [54:-1132:1]&[-16:993:1]
40185g (4 curves)	0	3- 5- 19- 47+	1 3- 5- -4  0  6 -6 19-
Curve Equation t 40185g1 [1,-1,0,-864,9963] 2 40185g2 [1,-1,0,-1269,0] 4 40185g3 [1,-1,0,5076,-3807] 4 40185g4 [1,-1,0,-14094,-638685] 2

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

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