Cremona's table of elliptic curves

21777 = 3 · 7 · 17 · 61

Class	r	Atkin-Lehner	Eigenvalues
21777a (4 curves)	1	3+ 7+ 17+ 61+	1 3+ -2 7+ -4 -2 17+  4
Curve Equation t Generators 21777a1 [1,1,0,49,0] 2 [64:488:1] 21777a2 [1,1,0,-196,-245] 4 [-2:13:1] 21777a3 [1,1,0,-2331,-44226] 2 [2078:31907:8] 21777a4 [1,1,0,-1981,32956] 2 [222:31:8]
21777b (1 curve)	1	3+ 7+ 17+ 61+	-1 3+ -1 7+  0  0 17+  5
Curve Equation t Generators 21777b1 [1,1,1,-921,-11160] 1 [39:99:1]
21777c (1 curve)	2	3+ 7+ 17- 61+	-1 3+ -3 7+ -4 -4 17- -1
Curve Equation t Generators 21777c1 [1,1,1,-67,-58] 1 [-2:9:1]&[-1:3:1]
21777d (1 curve)	0	3+ 7+ 17- 61+	2 3+  3 7+  3  5 17- -3
Curve Equation t 21777d1 [0,-1,1,-151844,32616323] 1
21777e (1 curve)	0	3- 7+ 17+ 61+	-1 3-  1 7+  4  4 17+  1
Curve Equation t 21777e1 [1,0,0,-504945,-128539386] 1
21777f (1 curve)	0	3- 7+ 17- 61-	1 3- -1 7+  0  4 17-  7
Curve Equation t 21777f1 [1,0,1,-31964734,343297788605] 1
21777g (1 curve)	0	3- 7+ 17- 61-	1 3- -1 7+  0  4 17- -7
Curve Equation t 21777g1 [1,0,1,-1114,-14395] 1
21777h (2 curves)	0	3- 7+ 17- 61-	1 3-  2 7+  6 -2 17- -2
Curve Equation t 21777h1 [1,0,1,-4820,139421] 2 21777h2 [1,0,1,-78935,8529239] 2

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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