Cremona's table of elliptic curves

21472 = 2⁵ · 11 · 61

Class	r	Atkin-Lehner	Eigenvalues
21472a (1 curve)	1	2+ 11+ 61+	2+ -1  0 -2 11+  5  5  4
Curve Equation t Generators 21472a1 [0,-1,0,-528,4840] 1 [13:2:1]
21472b (1 curve)	2	2+ 11- 61+	2+ -1 -3 -2 11- -4 -4  4
Curve Equation t Generators 21472b1 [0,-1,0,-957,13621] 1 [12:61:1]&[19:44:1]
21472c (1 curve)	2	2- 11+ 61+	2-  1 -3  2 11+ -4 -4 -4
Curve Equation t Generators 21472c1 [0,1,0,-957,-13621] 1 [49:244:1]&[145:1708:1]
21472d (4 curves)	1	2- 11+ 61-	2-  0 -2 -4 11+ -2 -6  8
Curve Equation t Generators 21472d1 [0,0,0,-4921,132840] 4 [-9:420:1] 21472d2 [0,0,0,-4316,166720] 4 [18:308:1] 21472d3 [0,0,0,-5531,97826] 2 [-1430:49938:125] 21472d4 [0,0,0,-78731,8502894] 4 [42342:167615:216]
21472e (1 curve)	1	2- 11+ 61-	2- -3  1  2 11+  4  0 -4
Curve Equation t Generators 21472e1 [0,0,0,-24952,-1517072] 1 [204:1372:1]
21472f (1 curve)	1	2- 11- 61+	2-  1  0  2 11-  5  5 -4
Curve Equation t Generators 21472f1 [0,1,0,-528,-4840] 1 [-14:2:1]
21472g (4 curves)	0	2- 11- 61-	2-  0 -2  4 11- -2 -6 -8
Curve Equation t 21472g1 [0,0,0,-4921,-132840] 4 21472g2 [0,0,0,-4316,-166720] 4 21472g3 [0,0,0,-5531,-97826] 4 21472g4 [0,0,0,-78731,-8502894] 2
21472h (1 curve)	0	2- 11- 61-	2-  3  1 -2 11-  4  0  4
Curve Equation t 21472h1 [0,0,0,-24952,1517072] 1

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

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