Cremona's table of elliptic curves

847 = 7 · 11²

Class	r	Atkin-Lehner	Eigenvalues
847a (3 curves)	0	7+ 11-	0  1  3 7+ 11-  4  6 -2
Curve Equation t 847a1 [0,1,1,-10809,-436166] 1 847a2 [0,1,1,-5969,-822761] 1 847a3 [0,1,1,53321,21262764] 1
847b (1 curve)	1	7- 11-	0 -3 -1 7- 11-  4 -2  6
Curve Equation t Generators 847b1 [0,0,1,242,-333] 1 [55:423:1]
847c (2 curves)	1	7- 11-	-1  2 -2 7- 11- -4 -4  0
Curve Equation t Generators 847c1 [1,1,1,421,-12440] 2 [116:1212:1] 847c2 [1,1,1,-6234,-177484] 2 [138:1201:1]

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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