Cremona's table of elliptic curves

4700 = 2² · 5² · 47

Class	r	Atkin-Lehner	Eigenvalues
4700a (2 curves)	0	2- 5+ 47+	2- -1 5+  1  3  7  6 -1
Curve Equation t 4700a1 [0,-1,0,-176908,28646312] 1 4700a2 [0,-1,0,-787908,-243013688] 1
4700b (1 curve)	0	2- 5+ 47+	2- -2 5+ -2  4 -1  0 -4
Curve Equation t 4700b1 [0,1,0,-1133,-15137] 1
4700c (1 curve)	1	2- 5+ 47-	2-  1 5+ -1 -1  5 -2 -5
Curve Equation t Generators 4700c1 [0,1,0,-508,3988] 1 [3:50:1]
4700d (2 curves)	1	2- 5+ 47-	2- -1 5+  1  0 -2 -3  2
Curve Equation t Generators 4700d1 [0,-1,0,-18,37] 1 [3:1:1] 4700d2 [0,-1,0,82,97] 1 [11:47:1]
4700e (1 curve)	1	2- 5+ 47-	2-  2 5+ -2  0  5 -8 -4
Curve Equation t Generators 4700e1 [0,-1,0,540467,-8319063] 1 [624:55225:27]
4700f (1 curve)	1	2- 5+ 47-	2- -3 5+  3  5 -5  2  1
Curve Equation t Generators 4700f1 [0,0,0,-2575,49750] 1 [-5:250:1]
4700g (2 curves)	1	2- 5- 47+	2-  0 5-  0  4 -4  0  4
Curve Equation t Generators 4700g1 [0,0,0,-92000,10740625] 2 [171:94:1] 4700g2 [0,0,0,-91375,10893750] 2 [150:750:1]
4700h (2 curves)	1	2- 5- 47+	2-  1 5- -1  0  2  3  2
Curve Equation t Generators 4700h1 [0,1,0,-458,3713] 3 [2:53:1] 4700h2 [0,1,0,2042,16213] 1 [4179:54431:27]
4700i (1 curve)	1	2- 5- 47+	2- -1 5- -3 -3  5 -4  5
Curve Equation t Generators 4700i1 [0,-1,0,-68,232] 1 [2:10:1]
4700j (1 curve)	1	2- 5- 47+	2- -2 5-  0  6  1 -4 -4
Curve Equation t Generators 4700j1 [0,1,0,667,3463] 1 [33:250:1]
4700k (2 curves)	0	2- 5- 47-	2-  0 5-  0  4  4  0  4
Curve Equation t 4700k1 [0,0,0,-3680,85925] 2 4700k2 [0,0,0,-3655,87150] 2
4700l (1 curve)	0	2- 5- 47-	2-  1 5-  3 -3 -5  4  5
Curve Equation t 4700l1 [0,1,0,-1708,25588] 1
4700m (1 curve)	0	2- 5- 47-	2-  2 5-  0  6 -1  4 -4
Curve Equation t 4700m1 [0,-1,0,27,17] 1

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

Part of Computational Number Theory
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