Cremona's table of elliptic curves

5474 = 2 · 7 · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
5474a (2 curves)	1	2+ 7+ 17+ 23+	2+  0  2 7+ -2  4 17+  6
Curve Equation t Generators 5474a1 [1,-1,0,629,-24123] 2 [551:12662:1] 5474a2 [1,-1,0,-9611,-333371] 2 [-45:103:1]
5474b (2 curves)	1	2+ 7+ 17+ 23+	2+ -2 -2 7+  0 -2 17+ -2
Curve Equation t Generators 5474b1 [1,0,1,-43292,-3578790] 2 [9390:126065:27] 5474b2 [1,0,1,-698652,-224828326] 2 [1392:38038:1]
5474c (2 curves)	0	2+ 7- 17+ 23+	2+  2 -2 7- -4  2 17+  6
Curve Equation t 5474c1 [1,1,0,2709,-88855] 2 5474c2 [1,1,0,-21301,-986829] 2
5474d (2 curves)	1	2- 7+ 17+ 23-	2-  0  0 7+  0  4 17+  0
Curve Equation t Generators 5474d1 [1,-1,1,-60,191] 2 [7:5:1] 5474d2 [1,-1,1,-100,-65] 2 [-5:19:1]
5474e (4 curves)	1	2- 7+ 17- 23+	2-  0 -2 7+  0  2 17-  4
Curve Equation t Generators 5474e1 [1,-1,1,-991,12231] 4 [21:8:1] 5474e2 [1,-1,1,-1311,3911] 4 [-33:118:1] 5474e3 [1,-1,1,-12871,-555593] 2 [-67:84:1] 5474e4 [1,-1,1,5129,27095] 2 [645:16150:1]
5474f (2 curves)	1	2- 7- 17+ 23+	2-  0  0 7-  4 -4 17+ -4
Curve Equation t Generators 5474f1 [1,-1,1,-2805,57869] 2 [33:4:1] 5474f2 [1,-1,1,-2965,51021] 2 [-21:332:1]

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

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