Cremona's table of elliptic curves

15678 = 2 · 3² · 13 · 67

Class	r	Atkin-Lehner	Eigenvalues
15678a (1 curve)	1	2+ 3+ 13+ 67+	2+ 3+  3 -3  4 13+  4 -4
Curve Equation t Generators 15678a1 [1,-1,0,147,-2827] 1 [31:160:1]
15678b (1 curve)	0	2+ 3- 13+ 67+	2+ 3-  2  2  3 13+  6 -5
Curve Equation t 15678b1 [1,-1,0,504,-8640] 1
15678c (4 curves)	0	2+ 3- 13+ 67+	2+ 3-  2 -4 -4 13+  6  4
Curve Equation t 15678c1 [1,-1,0,-6381,-194603] 2 15678c2 [1,-1,0,-6561,-182903] 4 15678c3 [1,-1,0,-24651,1296859] 2 15678c4 [1,-1,0,8649,-916025] 2
15678d (1 curve)	0	2+ 3- 13+ 67+	2+ 3-  3 -1 -2 13+  0 -2
Curve Equation t 15678d1 [1,-1,0,-23013,89379477] 1
15678e (1 curve)	1	2+ 3- 13- 67+	2+ 3-  0  0  1 13-  2 -5
Curve Equation t Generators 15678e1 [1,-1,0,-67842,-6869228] 1 [404:5414:1]
15678f (1 curve)	1	2+ 3- 13- 67+	2+ 3- -3 -3  4 13- -1 -8
Curve Equation t Generators 15678f1 [1,-1,0,-351,3181] 1 [15:26:1]
15678g (1 curve)	2	2- 3+ 13+ 67+	2- 3+ -3 -3 -4 13+ -4 -4
Curve Equation t Generators 15678g1 [1,-1,1,16,99] 1 [-1:9:1]&[3:11:1]
15678h (1 curve)	2	2- 3- 13+ 67-	2- 3- -3 -3 -6 13+  0 -2
Curve Equation t Generators 15678h1 [1,-1,1,-15584,753027] 1 [1421:52641:1]&[142649:165933:2197]
15678i (1 curve)	1	2- 3- 13- 67-	2- 3-  1  1 -2 13-  4 -2
Curve Equation t Generators 15678i1 [1,-1,1,-3272,-78033] 1 [125:1143:1]

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

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