Cremona's table of elliptic curves

18408 = 2³ · 3 · 13 · 59

Class	r	Atkin-Lehner	Eigenvalues
18408a (1 curve)	0	2+ 3+ 13+ 59-	2+ 3+  1 -4  0 13+  8 -6
Curve Equation t 18408a1 [0,-1,0,-77865,-8198451] 1
18408b (2 curves)	0	2+ 3+ 13+ 59-	2+ 3+ -2  2  0 13+  2  0
Curve Equation t 18408b1 [0,-1,0,-144,924] 2 18408b2 [0,-1,0,-2504,49068] 2
18408c (2 curves)	0	2+ 3+ 13- 59+	2+ 3+ -2 -2  0 13-  2 -4
Curve Equation t 18408c1 [0,-1,0,-546624,156748284] 2 18408c2 [0,-1,0,-8761784,9985365708] 2
18408d (1 curve)	1	2+ 3+ 13- 59-	2+ 3+ -1 -2  4 13-  2  0
Curve Equation t Generators 18408d1 [0,-1,0,-241,-11] 1 [-3:26:1]
18408e (4 curves)	1	2+ 3- 13+ 59-	2+ 3-  2 -4 -4 13+  2  4
Curve Equation t Generators 18408e1 [0,1,0,148,1632] 2 [4:48:1] 18408e2 [0,1,0,-1472,18480] 4 [31:60:1] 18408e3 [0,1,0,-6152,-168720] 2 [343:6180:1] 18408e4 [0,1,0,-22712,1309872] 2 [22468:387855:64]
18408f (1 curve)	1	2+ 3- 13- 59+	2+ 3- -3  0  3 13-  2 -5
Curve Equation t Generators 18408f1 [0,1,0,8,224] 1 [-4:12:1]
18408g (1 curve)	0	2- 3+ 13+ 59+	2- 3+ -1  4  4 13+  4  2
Curve Equation t 18408g1 [0,-1,0,-55401,5037597] 1
18408h (4 curves)	0	2- 3+ 13+ 59+	2- 3+  2  0 -4 13+ -6 -4
Curve Equation t 18408h1 [0,-1,0,-9972,386628] 4 18408h2 [0,-1,0,-9992,385020] 4 18408h3 [0,-1,0,-17072,-223860] 2 18408h4 [0,-1,0,-3232,890668] 2
18408i (2 curves)	0	2- 3+ 13+ 59+	2- 3+ -4 -2  4 13+ -2  2
Curve Equation t 18408i1 [0,-1,0,-2660,-69564] 2 18408i2 [0,-1,0,-46400,-3831204] 2

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

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