Cremona's table of elliptic curves

18544 = 2⁴ · 19 · 61

Class	r	Atkin-Lehner	Eigenvalues
18544a (1 curve)	1	2+ 19+ 61+	2+  2  3  1 -3  1 -2 19+
Curve Equation t Generators 18544a1 [0,-1,0,-664,6816] 1 [30:114:1]
18544b (1 curve)	0	2+ 19- 61+	2+  2 -1 -3 -3  5  2 19-
Curve Equation t 18544b1 [0,-1,0,504,-13408] 1
18544c (1 curve)	0	2+ 19- 61+	2+  3  0 -2 -3 -3  6 19-
Curve Equation t 18544c1 [0,0,0,5,74] 1
18544d (2 curves)	1	2+ 19- 61-	2+  0  2  4  0 -2 -2 19-
Curve Equation t Generators 18544d1 [0,0,0,-14,55] 2 [-445:966:125] 18544d2 [0,0,0,-319,2190] 2 [-15:60:1]
18544e (1 curve)	0	2- 19+ 61+	2-  2  1 -1  1  1 -8 19+
Curve Equation t 18544e1 [0,-1,0,-1920,48128] 1
18544f (1 curve)	0	2- 19+ 61+	2- -2  3  3 -1 -3  6 19+
Curve Equation t 18544f1 [0,1,0,-3144,242548] 1
18544g (1 curve)	1	2- 19+ 61-	2-  1 -2 -1  0 -1  5 19+
Curve Equation t Generators 18544g1 [0,1,0,136,-940] 1 [23:122:1]
18544h (2 curves)	1	2- 19+ 61-	2-  1 -4  2  3 -1 -2 19+
Curve Equation t Generators 18544h1 [0,1,0,4080,190484] 1 [34:608:1] 18544h2 [0,1,0,-1312240,578149204] 1 [-246:29768:1]
18544i (1 curve)	1	2- 19- 61+	2- -3  0  1  2  3  7 19-
Curve Equation t Generators 18544i1 [0,0,0,-904555,331624858] 1 [501:2048:1]

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

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