Cremona's table of elliptic curves

6555 = 3 · 5 · 19 · 23

Class	r	Atkin-Lehner	Eigenvalues
6555a (1 curve)	0	3+ 5+ 19+ 23-	0 3+ 5+ -4 -1  5  0 19+
Curve Equation t 6555a1 [0,-1,1,14439,669746] 1
6555b (4 curves)	0	3+ 5+ 19+ 23-	1 3+ 5+  0  0 -6 -2 19+
Curve Equation t 6555b1 [1,1,0,-288,-1053] 2 6555b2 [1,1,0,-3933,-96552] 4 6555b3 [1,1,0,-62928,-6102243] 2 6555b4 [1,1,0,-3258,-129897] 2
6555c (4 curves)	1	3+ 5+ 19- 23-	-1 3+ 5+ -4 -4  2 -2 19-
Curve Equation t Generators 6555c1 [1,1,1,19,-22] 2 [2:4:1] 6555c2 [1,1,1,-106,-322] 4 [-8:13:1] 6555c3 [1,1,1,-1531,-23692] 2 [-23:13:1] 6555c4 [1,1,1,-681,6348] 2 [-26:98:1]
6555d (1 curve)	0	3+ 5- 19+ 23+	0 3+ 5- -1 -4  4  3 19+
Curve Equation t 6555d1 [0,-1,1,59335,3888371] 1
6555e (1 curve)	0	3+ 5- 19+ 23+	0 3+ 5- -1 -4 -5 -6 19+
Curve Equation t 6555e1 [0,-1,1,-33735977475,-2384987222304844] 1
6555f (1 curve)	0	3+ 5- 19+ 23+	0 3+ 5- -1  5 -2  6 19+
Curve Equation t 6555f1 [0,-1,1,-115,1098] 1
6555g (1 curve)	0	3+ 5- 19+ 23+	0 3+ 5-  4  1  5  4 19+
Curve Equation t 6555g1 [0,-1,1,5,33] 1
6555h (1 curve)	0	3+ 5- 19+ 23+	-1 3+ 5-  3  5 -5 -4 19+
Curve Equation t 6555h1 [1,1,1,-12135,-646488] 1
6555i (6 curves)	1	3+ 5- 19- 23+	-1 3+ 5-  0  4  6  2 19-
Curve Equation t Generators 6555i1 [1,1,1,-2595,49800] 4 [103038:352650:2197] 6555i2 [1,1,1,-2600,49592] 8 [152:1711:1] 6555i3 [1,1,1,-4405,-30550] 4 [-52:273:1] 6555i4 [1,1,1,-875,116522] 4 [18655:218981:125] 6555i5 [1,1,1,-54660,-4935438] 2 [-138:126:1] 6555i6 [1,1,1,16970,-218650] 2 [43:748:1]
6555j (1 curve)	0	3- 5+ 19+ 23+	-1 3- 5+  5  3  1 -8 19+
Curve Equation t 6555j1 [1,0,0,-1,-4] 1
6555k (2 curves)	0	3- 5+ 19- 23-	0 3- 5+ -1  3  2 -6 19-
Curve Equation t 6555k1 [0,1,1,-361,2845] 3 6555k2 [0,1,1,2399,-8954] 1
6555l (1 curve)	0	3- 5+ 19- 23-	0 3- 5+  4  3  7  4 19-
Curve Equation t 6555l1 [0,1,1,-13186931,-18436026235] 1
6555m (1 curve)	0	3- 5- 19+ 23-	0 3- 5-  5 -4  1 -6 19+
Curve Equation t 6555m1 [0,1,1,5,1] 1
6555n (2 curves)	0	3- 5- 19- 23+	0 3- 5- -4 -3 -1  0 19-
Curve Equation t 6555n1 [0,1,1,118445,13994881] 3 6555n2 [0,1,1,-1194055,-721726994] 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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