Cremona's table of elliptic curves

1197 = 3² · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
1197a (2 curves)	1	3+ 7- 19-	1 3+  0 7-  2 -6 -8 19-
Curve Equation t Generators 1197a1 [1,-1,0,-57,-152] 2 [12:22:1] 1197a2 [1,-1,0,-42,-245] 2 [14:35:1]
1197b (2 curves)	1	3+ 7- 19-	-1 3+  0 7- -2 -6  8 19-
Curve Equation t Generators 1197b1 [1,-1,1,-515,4618] 2 [-14:101:1] 1197b2 [1,-1,1,-380,6994] 2 [8:62:1]
1197c (2 curves)	0	3- 7+ 19+	1 3- -4 7+  2  4  0 19+
Curve Equation t 1197c1 [1,-1,0,-3879,-92016] 2 1197c2 [1,-1,0,-4194,-75951] 2
1197d (2 curves)	0	3- 7+ 19+	-1 3-  0 7+  2 -4  4 19+
Curve Equation t 1197d1 [1,-1,1,-1895,10014] 2 1197d2 [1,-1,1,-17330,-866694] 2
1197e (2 curves)	0	3- 7- 19-	1 3-  0 7-  2  0  4 19-
Curve Equation t 1197e1 [1,-1,0,-117,472] 2 1197e2 [1,-1,0,-432,-2867] 2

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

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