Cremona's table of elliptic curves

4959 = 3² · 19 · 29

Class	r	Atkin-Lehner	Eigenvalues
4959a (2 curves)	0	3+ 19- 29+	1 3+  4 -4  6 -2 -2 19-
Curve Equation t 4959a1 [1,-1,0,-30,63] 2 4959a2 [1,-1,0,-465,3978] 2
4959b (2 curves)	1	3+ 19- 29-	-1 3+ -4 -4 -6 -2  2 19-
Curve Equation t Generators 4959b1 [1,-1,1,-272,-1430] 2 [-10:19:1] 4959b2 [1,-1,1,-4187,-103220] 2 [-37:19:1]
4959c (1 curve)	0	3- 19+ 29+	0 3-  3 -1  5 -4  7 19+
Curve Equation t 4959c1 [0,0,1,-246,-4676] 1
4959d (1 curve)	1	3- 19- 29+	1 3-  1  2  3 -5 -2 19-
Curve Equation t Generators 4959d1 [1,-1,0,-99,-378] 1 [118:1214:1]
4959e (1 curve)	1	3- 19- 29+	-1 3-  1 -4 -1 -1  0 19-
Curve Equation t Generators 4959e1 [1,-1,1,13,128] 1 [-2:10:1]
4959f (1 curve)	1	3- 19- 29+	2 3-  1 -1 -1  2 -3 19-
Curve Equation t Generators 4959f1 [0,0,1,-1047,-13041] 1 [322:797:8]
4959g (1 curve)	1	3- 19- 29+	-2 3-  1 -1  3 -2  1 19-
Curve Equation t Generators 4959g1 [0,0,1,-21387,1648584] 1 [-112:1624:1]
4959h (4 curves)	0	3- 19- 29-	-1 3-  2  0  0 -2  2 19-
Curve Equation t 4959h1 [1,-1,1,76,78] 2 4959h2 [1,-1,1,-329,888] 4 4959h3 [1,-1,1,-2894,-58620] 2 4959h4 [1,-1,1,-4244,107376] 4

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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