Cremona's table of elliptic curves

17182 = 2 · 11² · 71

Class	r	Atkin-Lehner	Eigenvalues
17182a (2 curves)	0	2+ 11- 71+	2+  1  0  1 11-  1  0  1
Curve Equation t 17182a1 [1,0,1,-971,-11618] 1 17182a2 [1,0,1,-7021,219250] 1
17182b (1 curve)	0	2+ 11- 71+	2+ -3  0  1 11-  5  0 -7
Curve Equation t 17182b1 [1,-1,0,-520867,-144529643] 1
17182c (1 curve)	1	2+ 11- 71-	2+  0 -3  2 11-  1  7  2
Curve Equation t Generators 17182c1 [1,-1,0,-163796,-26950192] 1 [6566:154905:8]
17182d (1 curve)	1	2+ 11- 71-	2+ -3 -4  3 11- -1  0  5
Curve Equation t Generators 17182d1 [1,-1,0,-1414,-16076] 1 [-19:70:1]
17182e (1 curve)	1	2- 11- 71+	2-  1 -2 -3 11-  5 -6  3
Curve Equation t Generators 17182e1 [1,0,0,-1999,-7655] 1 [-12:127:1]
17182f (1 curve)	1	2- 11- 71+	2- -1 -2  1 11-  3  6 -5
Curve Equation t Generators 17182f1 [1,1,1,-184,507] 1 [-18:247:8]
17182g (2 curves)	0	2- 11- 71-	2-  0  2  0 11- -4 -6  8
Curve Equation t 17182g1 [1,-1,1,-144,4403] 2 17182g2 [1,-1,1,-4984,136051] 2
17182h (1 curve)	2	2- 11- 71-	2-  0 -3 -2 11- -1 -7 -2
Curve Equation t Generators 17182h1 [1,-1,1,-1354,20617] 1 [25:-57:1]&[37:123:1]
17182i (1 curve)	0	2- 11- 71-	2-  3  2  3 11-  5 -6 -1
Curve Equation t 17182i1 [1,-1,1,-317769,-68583479] 1
17182j (1 curve)	0	2- 11- 71-	2- -3  2  3 11- -1  6 -1
Curve Equation t 17182j1 [1,-1,1,-236094,44166741] 1

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

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