Cremona's table of elliptic curves

47526 = 2 · 3 · 89²

Class	r	Atkin-Lehner	Eigenvalues
47526a (2 curves)	1	2+ 3+ 89+	2+ 3+  3 -2  0  4  0  4
Curve Equation t Generators 47526a1 [1,1,0,-31,13] 1 [-3:11:1] 47526a2 [1,1,0,-1366,-20012] 1 [-21690:11491:1000]
47526b (1 curve)	0	2+ 3+ 89-	2+ 3+  1  1 -4  0 -2 -4
Curve Equation t 47526b1 [1,1,0,455293,4038477] 1
47526c (1 curve)	0	2+ 3+ 89-	2+ 3+ -4  3  0  5  2  7
Curve Equation t 47526c1 [1,1,0,-10119242,12501023940] 1
47526d (1 curve)	0	2+ 3- 89+	2+ 3-  1 -1 -4  0 -2  4
Curve Equation t 47526d1 [1,0,1,57,10] 1
47526e (1 curve)	2	2+ 3- 89+	2+ 3- -4 -3  0 -5  2 -7
Curve Equation t Generators 47526e1 [1,0,1,-1278,17632] 1 [-7:-159:1]&[-16:192:1]
47526f (2 curves)	1	2+ 3- 89-	2+ 3-  3  2  0 -4  0 -4
Curve Equation t Generators 47526f1 [1,0,1,-249677,18351632] 3 [-1299323531008673746210:-8079072689089965529881:2535986675931409000] 47526f2 [1,0,1,-10824212,-13707394798] 1 [-100758833845937081874792327559400447870376534127360555690:20848831563336290279953616257724308745924688888972828291:52878294592423574851953534301519272694846255160101000]
47526g (1 curve)	1	2- 3+ 89-	2- 3+ -2  1  2 -3  4  5
Curve Equation t Generators 47526g1 [1,1,1,-26686014,-57230808453] 1 [34461:6303303:1]
47526h (1 curve)	1	2- 3- 89+	2- 3- -2 -1  2  3  4 -5
Curve Equation t Generators 47526h1 [1,0,0,-3369,-81447] 1 [122:1091:1]
47526i (2 curves)	1	2- 3- 89+	2- 3- -2  2 -4  0 -2  4
Curve Equation t Generators 47526i1 [1,0,0,-111059,11989089] 2 [40726:-257993:343] 47526i2 [1,0,0,205781,67943033] 2 [-26080:512063:125]

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

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