Cremona's table of elliptic curves

15738 = 2 · 3 · 43 · 61

Class	r	Atkin-Lehner	Eigenvalues
15738a (1 curve)	2	2+ 3+ 43+ 61-	2+ 3+ -1  1 -3 -7 -2  0
Curve Equation t Generators 15738a1 [1,1,0,-523,4429] 1 [-26:49:1]&[-6:89:1]
15738b (1 curve)	1	2+ 3+ 43- 61-	2+ 3+  1  0 -2  1 -6  1
Curve Equation t Generators 15738b1 [1,1,0,18,-12] 1 [4:10:1]
15738c (1 curve)	1	2+ 3+ 43- 61-	2+ 3+ -3 -1 -3 -5  2 -4
Curve Equation t Generators 15738c1 [1,1,0,-1709,-268899] 1 [410:8051:1]
15738d (1 curve)	2	2+ 3- 43+ 61+	2+ 3- -1 -3 -3  1 -6 -7
Curve Equation t Generators 15738d1 [1,0,1,-274,3620] 1 [13:41:1]&[22:80:1]
15738e (1 curve)	2	2+ 3- 43+ 61+	2+ 3- -1 -3 -3 -5  0  2
Curve Equation t Generators 15738e1 [1,0,1,-59209,5576720] 1 [-245:2444:1]&[537761:2875756:4913]
15738f (2 curves)	0	2+ 3- 43- 61-	2+ 3-  3 -1  3  5  0  2
Curve Equation t 15738f1 [1,0,1,14453,-2794042] 3 15738f2 [1,0,1,-1146682,-473029012] 1
15738g (1 curve)	0	2- 3+ 43+ 61+	2- 3+  1  4 -2 -3  6  5
Curve Equation t 15738g1 [1,1,1,-599175,203000829] 1
15738h (1 curve)	0	2- 3+ 43- 61-	2- 3+  1 -3 -5  7  6  4
Curve Equation t 15738h1 [1,1,1,-2716230,-1985683581] 1
15738i (1 curve)	0	2- 3- 43+ 61-	2- 3-  1  1 -1  5  2  5
Curve Equation t 15738i1 [1,0,0,-5210,513444] 1
15738j (1 curve)	0	2- 3- 43+ 61-	2- 3-  1  4  2  5  2 -1
Curve Equation t 15738j1 [1,0,0,-9175,-339031] 1

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

Part of Computational Number Theory
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