Cremona's table of elliptic curves

18655 = 5 · 7 · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
18655a (1 curve)	0	5+ 7- 13+ 41+	-1  1 5+ 7-  2 13+ -4 -6
Curve Equation t 18655a1 [1,0,0,-709981671,-12327155482810] 1
18655b (1 curve)	2	5+ 7- 13+ 41+	-2 -2 5+ 7- -2 13+ -6 -5
Curve Equation t Generators 18655b1 [0,1,1,-17956,920150] 1 [-84:1357:1]&[67:149:1]
18655c (1 curve)	1	5+ 7- 13+ 41-	1 -3 5+ 7-  0 13+ -4  1
Curve Equation t Generators 18655c1 [1,-1,0,-250,1585] 1 [8:3:1]
18655d (1 curve)	1	5+ 7- 13+ 41-	-1 -3 5+ 7- -4 13+  4  7
Curve Equation t Generators 18655d1 [1,-1,1,-14823,-690888] 1 [-70:38:1]
18655e (1 curve)	0	5- 7+ 13+ 41+	1 -3 5- 7+  0 13+  4  5
Curve Equation t 18655e1 [1,-1,0,-3024544,-1467064067] 1
18655f (1 curve)	2	5- 7- 13+ 41-	-2 -2 5- 7- -6 13+ -6 -3
Curve Equation t Generators 18655f1 [0,1,1,-40880,3326034] 1 [-224:1137:1]&[-42:2229:1]
18655g (2 curves)	0	5- 7- 13- 41+	1  2 5- 7- -6 13- -2  6
Curve Equation t 18655g1 [1,1,0,-345487,-74425056] 2 18655g2 [1,1,0,242758,-301134679] 2
18655h (1 curve)	1	5- 7- 13- 41-	2  2 5- 7- -2 13-  2 -7
Curve Equation t Generators 18655h1 [0,-1,1,-390,3253] 1 [106:119:8]

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

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