Cremona's table of elliptic curves

7581 = 3 · 7 · 19²

Class	r	Atkin-Lehner	Eigenvalues
7581a (2 curves)	1	3+ 7+ 19+	1 3+ -4 7+ -4  2  0 19+
Curve Equation t Generators 7581a1 [1,1,0,-19862,-423825] 2 [27586:4568019:1] 7581a2 [1,1,0,-259927,-51077540] 2 [220702:36541807:8]
7581b (6 curves)	0	3+ 7+ 19-	1 3+ -2 7+  4  2 -6 19-
Curve Equation t 7581b1 [1,1,0,354,711] 2 7581b2 [1,1,0,-1451,3960] 4 7581b3 [1,1,0,-14086,-645479] 2 7581b4 [1,1,0,-17696,897435] 4 7581b5 [1,1,0,-283031,57838326] 2 7581b6 [1,1,0,-12281,1463844] 2
7581c (2 curves)	0	3+ 7+ 19-	1 3+  4 7+ -2 -4  0 19-
Curve Equation t 7581c1 [1,1,0,-155598,-23686665] 2 7581c2 [1,1,0,-168233,-19630830] 2
7581d (2 curves)	2	3- 7+ 19+	-1 3- -4 7+ -4 -2  0 19+
Curve Equation t Generators 7581d1 [1,0,0,-55,56] 2 [-7:14:1]&[-1:11:1] 7581d2 [1,0,0,-720,7371] 2 [-27:99:1]&[-3:99:1]
7581e (2 curves)	1	3- 7+ 19-	-1 3-  0 7+ -2  4 -4 19-
Curve Equation t Generators 7581e1 [1,0,0,-75998,2417331] 2 [277:1486:1] 7581e2 [1,0,0,-695113,-221330830] 2 [-502:1334:1]
7581f (2 curves)	0	3- 7- 19-	1 3-  0 7- -2  0 -4 19-
Curve Equation t 7581f1 [1,0,1,-4701,112075] 2 7581f2 [1,0,1,-17336,-757213] 2

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

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