Cremona's table of elliptic curves

5640 = 2³ · 3 · 5 · 47

Class	r	Atkin-Lehner	Eigenvalues
5640a (4 curves)	0	2+ 3+ 5+ 47-	2+ 3+ 5+  0 -4  2  6 -4
Curve Equation t 5640a1 [0,-1,0,-431,-3300] 2 5640a2 [0,-1,0,-556,-1100] 4 5640a3 [0,-1,0,-5256,147420] 2 5640a4 [0,-1,0,2144,-10820] 2
5640b (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+  2 -2  1 -2 -2
Curve Equation t Generators 5640b1 [0,1,0,-1,35] 1 [-1:6:1]
5640c (4 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+ -4  4 -2 -2  4
Curve Equation t Generators 5640c1 [0,1,0,-19036,-1017280] 2 [176:1056:1] 5640c2 [0,1,0,-19056,-1015056] 4 [-81:60:1] 5640c3 [0,1,0,-28776,120240] 2 [-21:846:1] 5640c4 [0,1,0,-9656,-2007696] 2 [295:4572:1]
5640d (2 curves)	0	2+ 3- 5- 47-	2+ 3- 5- -2 -6  2  2  0
Curve Equation t 5640d1 [0,1,0,-80,-912] 2 5640d2 [0,1,0,-1960,-34000] 2
5640e (2 curves)	0	2- 3+ 5- 47-	2- 3+ 5- -2 -2 -6 -2 -4
Curve Equation t 5640e1 [0,-1,0,280,-1860] 2 5640e2 [0,-1,0,-1600,-16148] 2
5640f (4 curves)	0	2- 3+ 5- 47-	2- 3+ 5-  4  0  6  2  4
Curve Equation t 5640f1 [0,-1,0,-2820,67332] 4 5640f2 [0,-1,0,-47000,3937500] 4 5640f3 [0,-1,0,-48880,3607372] 2 5640f4 [0,-1,0,-752000,251251500] 2
5640g (4 curves)	1	2- 3- 5+ 47+	2- 3- 5+  0  0  2  2 -8
Curve Equation t Generators 5640g1 [0,1,0,284,1184] 4 [-1:30:1] 5640g2 [0,1,0,-1336,8960] 4 [56:336:1] 5640g3 [0,1,0,-10336,-401440] 2 [131:714:1] 5640g4 [0,1,0,-18256,942944] 2 [730:1701:8]
5640h (1 curve)	0	2- 3- 5- 47+	2- 3- 5-  2  2 -1  2 -2
Curve Equation t 5640h1 [0,1,0,-6065,-183837] 1

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

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