Cremona's table of elliptic curves

15640 = 2³ · 5 · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
15640a (1 curve)	0	2+ 5+ 17+ 23-	2+  3 5+ -2 -6  1 17+  0
Curve Equation t 15640a1 [0,0,0,12917,-44593] 1
15640b (1 curve)	1	2+ 5+ 17- 23-	2+ -1 5+  2 -6 -3 17-  4
Curve Equation t Generators 15640b1 [0,-1,0,-8296,293621] 1 [46:85:1]
15640c (1 curve)	1	2+ 5+ 17- 23-	2+ -3 5+  4 -3  4 17- -6
Curve Equation t Generators 15640c1 [0,0,0,-58,-743] 1 [12:17:1]
15640d (1 curve)	1	2+ 5- 17- 23+	2+ -1 5-  0 -1  4 17-  2
Curve Equation t Generators 15640d1 [0,-1,0,-6375,199852] 1 [-41:625:1]
15640e (1 curve)	0	2+ 5- 17- 23-	2+ -1 5- -2  5  4 17-  8
Curve Equation t 15640e1 [0,-1,0,0,-68] 1
15640f (4 curves)	1	2- 5+ 17+ 23-	2-  0 5+  0 -4 -2 17+  0
Curve Equation t Generators 15640f1 [0,0,0,97,98] 2 [1:14:1] 15640f2 [0,0,0,-403,798] 4 [51:336:1] 15640f3 [0,0,0,-3803,-89642] 2 [578:903:8] 15640f4 [0,0,0,-5003,136038] 2 [1722:7462:27]
15640g (1 curve)	1	2- 5+ 17+ 23-	2-  0 5+  0  6  1 17+  3
Curve Equation t Generators 15640g1 [0,0,0,37,-42] 1 [26:136:1]
15640h (1 curve)	1	2- 5- 17- 23-	2- -1 5-  2  1  0 17- -4
Curve Equation t Generators 15640h1 [0,-1,0,11640,87100] 1 [30:680:1]
15640i (1 curve)	1	2- 5- 17- 23-	2- -1 5-  2 -2  5 17-  8
Curve Equation t Generators 15640i1 [0,-1,0,220,1225] 1 [20:-115:1]
15640j (1 curve)	1	2- 5- 17- 23-	2-  2 5-  2 -2 -3 17- -7
Curve Equation t Generators 15640j1 [0,-1,0,-2160,64652] 1 [-43:276:1]

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

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