Cremona's table of elliptic curves

12194 = 2 · 7 · 13 · 67

Class	r	Atkin-Lehner	Eigenvalues
12194a (1 curve)	1	2+ 7+ 13+ 67+	2+  2  2 7+  2 13+  0 -4
Curve Equation t Generators 12194a1 [1,1,0,11,-3] 1 [6:15:1]
12194b (1 curve)	0	2+ 7+ 13+ 67-	2+ -3 -3 7+  0 13+  0  5
Curve Equation t 12194b1 [1,-1,0,-271,-33299] 1
12194c (2 curves)	0	2+ 7+ 13- 67+	2+  2 -2 7+  4 13-  2 -2
Curve Equation t 12194c1 [1,1,0,14,0] 2 12194c2 [1,1,0,-56,-70] 2
12194d (3 curves)	0	2+ 7- 13- 67-	2+  1  3 7-  0 13-  0 -7
Curve Equation t 12194d1 [1,0,1,-5842,171358] 3 12194d2 [1,0,1,-5727,178458] 3 12194d3 [1,0,1,34138,-13832] 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
Back to Tables and computations