Cremona's table of elliptic curves

1683 = 3² · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
1683a (2 curves)	1	3+ 11+ 17+	1 3+  2 -2 11+ -2 17+  8
Curve Equation t Generators 1683a1 [1,-1,0,-66,-121] 2 [10:7:1] 1683a2 [1,-1,0,189,-988] 2 [46:107:8]
1683b (2 curves)	0	3+ 11+ 17-	-1 3+  4 -2 11+ -2 17-  2
Curve Equation t 1683b1 [1,-1,1,-752438,250564564] 2 1683b2 [1,-1,1,-12027773,16058584234] 2
1683c (2 curves)	0	3+ 11- 17+	1 3+ -4 -2 11- -2 17+  2
Curve Equation t 1683c1 [1,-1,0,-83604,-9252301] 2 1683c2 [1,-1,0,-1336419,-594316906] 2
1683d (2 curves)	1	3+ 11- 17-	-1 3+ -2 -2 11- -2 17-  8
Curve Equation t Generators 1683d1 [1,-1,1,-596,3862] 2 [-10:98:1] 1683d2 [1,-1,1,1699,24976] 2 [17:233:1]
1683e (4 curves)	0	3- 11+ 17+	1 3- -2  0 11+ -2 17+  8
Curve Equation t 1683e1 [1,-1,0,-108,-405] 2 1683e2 [1,-1,0,-153,0] 4 1683e3 [1,-1,0,-1638,25839] 2 1683e4 [1,-1,0,612,-459] 2
1683f (1 curve)	1	3- 11+ 17-	0 3-  2  1 11+ -6 17- -6
Curve Equation t Generators 1683f1 [0,0,1,-2424,-46386] 1 [134:1426:1]
1683g (1 curve)	1	3- 11+ 17-	0 3-  2 -3 11+  2 17-  2
Curve Equation t Generators 1683g1 [0,0,1,-33564,2366788] 1 [106:4:1]
1683h (2 curves)	1	3- 11+ 17-	0 3- -3  2 11+  2 17-  2
Curve Equation t Generators 1683h1 [0,0,1,96,-720] 1 [6:8:1] 1683h2 [0,0,1,-894,23535] 3 [738:6813:8]
1683i (1 curve)	1	3- 11+ 17-	2 3-  0 -3 11+ -4 17- -2
Curve Equation t Generators 1683i1 [0,0,1,-75,-297] 1 [82:23:8]
1683j (1 curve)	1	3- 11- 17+	-2 3- -4 -5 11-  4 17+  2
Curve Equation t Generators 1683j1 [0,0,1,63,-34] 1 [12:-50:1]

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