Cremona's table of elliptic curves

27824 = 2⁴ · 37 · 47

Class	r	Atkin-Lehner	Eigenvalues
27824a (1 curve)	1	2+ 37+ 47+	2+ -1  3 -4 -2  3  6 -1
Curve Equation t Generators 27824a1 [0,-1,0,-9,37] 1 [4:7:1]
27824b (1 curve)	1	2- 37+ 47-	2- -3  1  4  2  1 -6  3
Curve Equation t Generators 27824b1 [0,0,0,-30352,2035312] 1 [81:329:1]
27824c (2 curves)	1	2- 37- 47+	2-  0  4 -4  4  4 -6 -4
Curve Equation t Generators 27824c1 [0,0,0,-28,15] 2 [-655:528:125] 27824c2 [0,0,0,-263,-1630] 2 [-5032880:-1193313:512000]
27824d (1 curve)	0	2- 37- 47-	2-  0 -2  1  0  0  6  2
Curve Equation t 27824d1 [0,0,0,-4211,114994] 1
27824e (1 curve)	0	2- 37- 47-	2-  3 -3  0 -2  5 -2  5
Curve Equation t 27824e1 [0,0,0,-64,-1204] 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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