Cremona's table of elliptic curves

2057 = 11² · 17

Class	r	Atkin-Lehner	Eigenvalues
2057a (1 curve)	1	11+ 17+	0  2  0 -3 11+  6 17+ -6
Curve Equation t Generators 2057a1 [0,-1,1,37,76] 1 [4:16:1]
2057b (1 curve)	0	11+ 17-	0  2  0  3 11+ -6 17-  6
Curve Equation t 2057b1 [0,-1,1,4437,-119285] 1
2057c (4 curves)	0	11- 17+	1  0 -2 -4 11-  2 17+  4
Curve Equation t 2057c1 [1,-1,0,-83,-104] 2 2057c2 [1,-1,0,-688,7035] 4 2057c3 [1,-1,0,-10973,445176] 2 2057c4 [1,-1,0,-83,18530] 2
2057d (1 curve)	0	11- 17+	-2  0  4  5 11- -4 17+ -2
Curve Equation t 2057d1 [0,0,1,847,-1664] 1
2057e (2 curves)	1	11- 17-	0  1  3 -2 11- -2 17- -2
Curve Equation t Generators 2057e1 [0,1,1,1291,-35051] 1 [298:2053:8] 2057e2 [0,1,1,-12019,1156194] 1 [-114:1028:1]

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

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