Cremona's table of elliptic curves

17082 = 2 · 3² · 13 · 73

Class	r	Atkin-Lehner	Eigenvalues
17082a (2 curves)	0	2+ 3+ 13- 73+	2+ 3+  4  4  0 13- -6 -2
Curve Equation t 17082a1 [1,-1,0,390,-1612] 2 17082a2 [1,-1,0,-1770,-12412] 2
17082b (1 curve)	0	2+ 3- 13+ 73+	2+ 3-  1 -1  0 13+ -7 -4
Curve Equation t 17082b1 [1,-1,0,-795174,273923252] 1
17082c (1 curve)	1	2+ 3- 13+ 73-	2+ 3- -1  2  6 13+ -6 -7
Curve Equation t Generators 17082c1 [1,-1,0,355320,120587584] 1 [3792:234712:1]
17082d (4 curves)	1	2+ 3- 13+ 73-	2+ 3-  2  4  0 13+ -6  4
Curve Equation t Generators 17082d1 [1,-1,0,-2421,-44955] 2 [-27:27:1] 17082d2 [1,-1,0,-4041,24057] 4 [81:432:1] 17082d3 [1,-1,0,-49671,4267647] 2 [1611:63252:1] 17082d4 [1,-1,0,15669,177795] 2 [3555:98676:125]
17082e (2 curves)	1	2+ 3- 13- 73+	2+ 3-  0  0 -2 13-  0 -4
Curve Equation t Generators 17082e1 [1,-1,0,-1737,3469] 2 [-25:188:1] 17082e2 [1,-1,0,6903,22477] 2 [26:455:1]
17082f (1 curve)	1	2+ 3- 13- 73+	2+ 3-  1  2 -2 13-  6 -3
Curve Equation t Generators 17082f1 [1,-1,0,-3609,-82643] 1 [162:1807:1]
17082g (2 curves)	2	2+ 3- 13- 73-	2+ 3- -3 -4  0 13-  0 -1
Curve Equation t Generators 17082g1 [1,-1,0,-171,4293] 1 [126:-1467:1]&[-2:69:1] 17082g2 [1,-1,0,-25911,1611873] 3 [-128:1743:1]&[-96:1839:1]
17082h (2 curves)	1	2- 3+ 13- 73+	2- 3+ -4  4  0 13-  6 -2
Curve Equation t Generators 17082h1 [1,-1,1,43,45] 2 [3:12:1] 17082h2 [1,-1,1,-197,525] 2 [-7:42:1]
17082i (1 curve)	0	2- 3- 13- 73+	2- 3-  1 -2  6 13-  2 -5
Curve Equation t 17082i1 [1,-1,1,58,-183] 1
17082j (2 curves)	0	2- 3- 13- 73+	2- 3-  4 -2  0 13-  8  4
Curve Equation t 17082j1 [1,-1,1,-391073,-94033551] 2 17082j2 [1,-1,1,-393233,-92940591] 2

Data from Elliptic Curve Data by J. E. Cremona.
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