Cremona's table of elliptic curves

4784 = 2⁴ · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
4784a (1 curve)	1	2+ 13+ 23+	2+  1 -1  1 -2 13+  7  0
Curve Equation t Generators 4784a1 [0,1,0,304,1268] 1 [14:92:1]
4784b (2 curves)	0	2- 13+ 23+	2-  0 -2 -2 -2 13+ -2  2
Curve Equation t 4784b1 [0,0,0,-556,-1641] 2 4784b2 [0,0,0,2089,-12750] 2
4784c (1 curve)	0	2- 13+ 23+	2-  1 -1  1  6 13+  3  4
Curve Equation t 4784c1 [0,1,0,64,92468] 1
4784d (1 curve)	1	2- 13+ 23-	2-  1  3 -3 -2 13+ -1  4
Curve Equation t Generators 4784d1 [0,1,0,-224,1268] 1 [-4:46:1]
4784e (2 curves)	1	2- 13- 23+	2-  0  0  0  2 13- -2  6
Curve Equation t Generators 4784e1 [0,0,0,-1795,-29694] 2 [62:312:1] 4784e2 [0,0,0,-28835,-1884638] 2 [478:9672:1]
4784f (1 curve)	1	2- 13- 23+	2-  3 -3 -3  2 13-  1 -6
Curve Equation t Generators 4784f1 [0,0,0,701,-32446] 1 [1947:16928:27]
4784g (1 curve)	1	2- 13- 23+	2- -3  3  0  5 13- -2 -3
Curve Equation t Generators 4784g1 [0,0,0,-16,28] 1 [2:2:1]

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

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