Cremona's table of elliptic curves

15827 = 7² · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
15827a (1 curve)	2	7+ 17- 19+	-1 -2 -3 7+ -3 -2 17- 19+
Curve Equation t Generators 15827a1 [1,0,0,293,8364] 1 [53:390:1]&[8:102:1]
15827b (1 curve)	0	7- 17+ 19+	0  2 -3 7- -4 -3 17+ 19+
Curve Equation t 15827b1 [0,-1,1,-4720627,-3718104475] 1
15827c (1 curve)	0	7- 17+ 19+	2  0 -1 7- -6 -1 17+ 19+
Curve Equation t 15827c1 [0,0,1,-11123,439297] 1
15827d (1 curve)	1	7- 17+ 19-	0  0 -3 7-  2 -1 17+ 19-
Curve Equation t Generators 15827d1 [0,0,1,-14,12] 1 [0:3:1]
15827e (1 curve)	1	7- 17+ 19-	-1  2  3 7- -3  2 17+ 19-
Curve Equation t Generators 15827e1 [1,1,1,6,-22] 1 [3:4:1]
15827f (1 curve)	1	7- 17+ 19-	-1  3 -3 7-  0 -2 17+ 19-
Curve Equation t Generators 15827f1 [1,-1,1,-279,-5708] 1 [2910:28201:27]
15827g (1 curve)	1	7- 17- 19+	0  0  3 7-  2  1 17- 19+
Curve Equation t Generators 15827g1 [0,0,1,-686,-4202] 1 [-294:1187:27]
15827h (2 curves)	1	7- 17- 19+	0 -1  0 7-  0 -2 17- 19+
Curve Equation t Generators 15827h1 [0,-1,1,1797,96816] 1 [-30:122:1] 15827h2 [0,-1,1,-118253,15705717] 1 [215:416:1]
15827i (2 curves)	1	7- 17- 19+	0  2  3 7-  0  1 17- 19+
Curve Equation t Generators 15827i1 [0,-1,1,-2809,-56113] 1 [-3645:1481:125] 15827i2 [0,-1,1,-16529,783208] 1 [-86:1249:1]
15827j (1 curve)	1	7- 17- 19+	0 -3  2 7- -2 -6 17- 19+
Curve Equation t Generators 15827j1 [0,0,1,-2254,-95097] 1 [371:7080:1]
15827k (1 curve)	1	7- 17- 19+	-1 -3  3 7-  0  2 17- 19+
Curve Equation t Generators 15827k1 [1,-1,1,-6,18] 1 [2:2:1]
15827l (2 curves)	0	7- 17- 19-	-1 -2  2 7-  0 -2 17- 19-
Curve Equation t 15827l1 [1,0,0,-41357,3233152] 2 15827l2 [1,0,0,-36702,3990055] 2

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

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