Cremona's table of elliptic curves

52688 = 2⁴ · 37 · 89

Class	r	Atkin-Lehner	Eigenvalues
52688a (1 curve)	1	2+ 37+ 89+	2+ -1  0 -3  3 -4  0  6
Curve Equation t Generators 52688a1 [0,-1,0,-34993,2465789] 1 [-116:2225:1]
52688b (1 curve)	0	2+ 37- 89+	2+ -2  4  2  1  5  4 -1
Curve Equation t 52688b1 [0,1,0,-91281,10584427] 1
52688c (1 curve)	0	2- 37+ 89+	2-  0  0  4 -5  5  2  5
Curve Equation t 52688c1 [0,0,0,-2480,47536] 1
52688d (1 curve)	0	2- 37+ 89+	2- -1  1  0  0  4 -3  5
Curve Equation t 52688d1 [0,-1,0,-4120,-100432] 1
52688e (1 curve)	1	2- 37+ 89-	2- -3 -4  3  5 -4  0 -2
Curve Equation t Generators 52688e1 [0,0,0,-135712,19243120] 1 [1698:89:8]
52688f (1 curve)	1	2- 37- 89+	2-  1  3  4 -2 -2 -1  1
Curve Equation t Generators 52688f1 [0,1,0,-20624,1298708] 1 [11:1036:1]
52688g (1 curve)	1	2- 37- 89+	2- -2  0 -2  1  1 -4 -5
Curve Equation t Generators 52688g1 [0,1,0,-53,-161] 1 [-5:2:1]

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

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