Cremona's table of elliptic curves

4557 = 3 · 7² · 31

Class	r	Atkin-Lehner	Eigenvalues
4557a (1 curve)	0	3+ 7+ 31-	0 3+ -2 7+  1  4  3 -1
Curve Equation t 4557a1 [0,-1,1,-1829,2099] 1
4557b (3 curves)	0	3+ 7- 31+	0 3+  3 7-  0 -5  0 -2
Curve Equation t 4557b1 [0,-1,1,1111,30617] 1 4557b2 [0,-1,1,-51809,4564538] 1 4557b3 [0,-1,1,-4198679,3312841727] 1
4557c (2 curves)	0	3+ 7- 31+	1 3+  2 7- -2  4  0  4
Curve Equation t 4557c1 [1,1,0,171,1800] 2 4557c2 [1,1,0,-1544,19293] 2
4557d (2 curves)	1	3+ 7- 31-	-1 3+  0 7-  2  2  2 -4
Curve Equation t Generators 4557d1 [1,1,1,-2108,-37780] 2 [-25:20:1] 4557d2 [1,1,1,-3823,30134] 2 [-29:357:1]
4557e (4 curves)	1	3+ 7- 31-	-1 3+  2 7-  0  6 -6  4
Curve Equation t Generators 4557e1 [1,1,1,1763,29546] 2 [-8:126:1] 4557e2 [1,1,1,-10242,269646] 4 [335:5712:1] 4557e3 [1,1,1,-63407,-5961292] 2 [81474:1016575:216] 4557e4 [1,1,1,-149157,22107084] 4 [31:4169:1]
4557f (1 curve)	1	3+ 7- 31-	2 3+  3 7- -4 -7 -4  8
Curve Equation t Generators 4557f1 [0,-1,1,970576,-370678687] 1 [4891622167855228088446:-17223843830713215753039:14293248674096683864]
4557g (1 curve)	1	3+ 7- 31-	2 3+ -4 7-  3  0  3  1
Curve Equation t Generators 4557g1 [0,-1,1,-800,4157] 1 [42:65:8]
4557h (1 curve)	1	3+ 7- 31-	-2 3+  1 7- -4  5  0 -4
Curve Equation t Generators 4557h1 [0,-1,1,-7660,-256866] 1 [474:10118:1]
4557i (1 curve)	0	3- 7+ 31+	2 3-  4 7+  3  0 -3 -1
Curve Equation t 4557i1 [0,1,1,-16,-17] 1
4557j (1 curve)	1	3- 7- 31+	0 3-  2 7-  1 -4 -3  1
Curve Equation t Generators 4557j1 [0,1,1,-37,-17] 1 [-1:4:1]
4557k (2 curves)	1	3- 7- 31+	-1 3-  0 7-  2 -2 -2  4
Curve Equation t Generators 4557k1 [1,0,0,-43,104] 2 [5:2:1] 4557k2 [1,0,0,-78,-99] 2 [-3:12:1]
4557l (1 curve)	1	3- 7- 31+	2 3- -3 7- -4  7  4 -8
Curve Equation t Generators 4557l1 [0,1,1,19808,1086355] 1 [730:15305:8]
4557m (1 curve)	1	3- 7- 31+	-2 3- -1 7- -4 -5  0  4
Curve Equation t Generators 4557m1 [0,1,1,-156,704] 1 [9:-11:1]
4557n (2 curves)	0	3- 7- 31-	1 3-  2 7-  2 -4 -8  4
Curve Equation t 4557n1 [1,0,1,-274230,55444771] 2 4557n2 [1,0,1,-4391945,3542325833] 2
4557o (2 curves)	0	3- 7- 31-	1 3- -4 7-  2  2 -2 -8
Curve Equation t 4557o1 [1,0,1,-173,-493] 2 4557o2 [1,0,1,562,-3433] 2

Data from Elliptic Curve Data by J. E. Cremona.
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