Cremona's table of elliptic curves

18291 = 3 · 7 · 13 · 67

Class	r	Atkin-Lehner	Eigenvalues
18291a (2 curves)	1	3+ 7+ 13+ 67+	-1 3+  0 7+  0 13+  0 -4
Curve Equation t Generators 18291a1 [1,1,1,-245928,33663600] 2 [85261560:-13592047088:3375] 18291a2 [1,1,1,639807,221793714] 2 [-7944:81211:27]
18291b (1 curve)	0	3+ 7+ 13+ 67-	2 3+ -2 7+ -4 13+  5 -7
Curve Equation t 18291b1 [0,-1,1,-10494,432155] 1
18291c (2 curves)	1	3+ 7- 13+ 67-	-1 3+ -4 7-  0 13+  4  4
Curve Equation t Generators 18291c1 [1,1,1,-6215,185996] 2 [18:274:1] 18291c2 [1,1,1,-6080,194636] 2 [68:-353:1]
18291d (1 curve)	1	3- 7- 13+ 67+	0 3- -3 7-  2 13+  6 -5
Curve Equation t Generators 18291d1 [0,1,1,1143,-8728] 1 [162:2110:1]
18291e (4 curves)	1	3- 7- 13+ 67+	-1 3-  2 7-  4 13+  6 -8
Curve Equation t Generators 18291e1 [1,0,0,-27,-312] 2 [3324951:8720902:250047] 18291e2 [1,0,0,-872,-9945] 4 [20045:239363:125] 18291e3 [1,0,0,-13937,-634452] 2 [-570837624:284730942:8365427] 18291e4 [1,0,0,-1327,1430] 2 [-1:53:1]
18291f (1 curve)	2	3- 7- 13+ 67-	-2 3- -2 7- -6 13+ -5 -3
Curve Equation t Generators 18291f1 [0,1,1,-12384,556976] 1 [873:25609:1]&[-93:955:1]
18291g (2 curves)	1	3- 7- 13- 67-	0 3-  0 7-  0 13-  3 -1
Curve Equation t Generators 18291g1 [0,1,1,2697,-35125] 3 [15:94:1] 18291g2 [0,1,1,-57603,-5414488] 1 [294:1774:1]

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

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