Cremona's table of elliptic curves

2166 = 2 · 3 · 19²

Class	r	Atkin-Lehner	Eigenvalues
2166a (1 curve)	1	2+ 3+ 19+	2+ 3+  0  1 -2 -3  4 19+
Curve Equation t Generators 2166a1 [1,1,0,-1090,14068] 1 [36:134:1]
2166b (4 curves)	0	2+ 3+ 19-	2+ 3+  0 -4  0  4  6 19-
Curve Equation t 2166b1 [1,1,0,-2895,-5787] 2 2166b2 [1,1,0,11545,-31779] 2 2166b3 [1,1,0,-154515,23313369] 2 2166b4 [1,1,0,-150905,24459183] 2
2166c (2 curves)	0	2+ 3- 19+	2+ 3-  2  4 -2 -4  6 19+
Curve Equation t 2166c1 [1,0,1,-349095,76681258] 2 2166c2 [1,0,1,-897815,-223797814] 2
2166d (4 curves)	1	2+ 3- 19-	2+ 3-  2  0 -4 -2 -6 19-
Curve Equation t Generators 2166d1 [1,0,1,-127080,15656374] 2 [68:2673:1] 2166d2 [1,0,1,-1975400,1068459446] 4 [777:1291:1] 2166d3 [1,0,1,-31606280,68389818806] 2 [405780:-196894:125] 2166d4 [1,0,1,-1917640,1133889974] 2 [-464:44093:1]
2166e (1 curve)	1	2+ 3- 19-	2+ 3- -4 -3  2  7  0 19-
Curve Equation t Generators 2166e1 [1,0,1,87,412] 1 [-1:18:1]
2166f (2 curves)	0	2- 3+ 19+	2- 3+  2  4 -2  4  6 19+
Curve Equation t 2166f1 [1,1,1,-967,-11587] 2 2166f2 [1,1,1,-2487,31581] 2
2166g (1 curve)	0	2- 3+ 19+	2- 3+ -4 -3  2 -7  0 19+
Curve Equation t 2166g1 [1,1,1,31580,-2764459] 1
2166h (1 curve)	0	2- 3- 19-	2- 3-  0  1 -2  3  4 19-
Curve Equation t 2166h1 [1,0,0,-393678,-99641340] 1
2166i (2 curves)	0	2- 3- 19-	2- 3-  0  4  4  0 -2 19-
Curve Equation t 2166i1 [1,0,0,-34483,2461373] 2 2166i2 [1,0,0,-30873,2997819] 2

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

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