Cremona's table of elliptic curves

1682 = 2 · 29²

Class	r	Atkin-Lehner	Eigenvalues
1682a (2 curves)	1	2+ 29+	2+  1  1 -2  3 -1 -8  0
Curve Equation t Generators 1682a1 [1,0,1,4187,173584] 1 [563:13174:1] 1682a2 [1,0,1,-382673,-91764536] 1 [94445:841652:125]
1682b (1 curve)	1	2+ 29+	2+ -2 -2 -5  0  2  7  6
Curve Equation t Generators 1682b1 [1,0,1,-47,-126] 1 [-4:2:1]
1682c (2 curves)	0	2+ 29-	2+ -1 -1 -2  5  1  2 -4
Curve Equation t 1682c1 [1,1,0,-51318,-4555676] 1 1682c2 [1,1,0,314517,175069309] 1
1682d (2 curves)	0	2+ 29-	2+ -2  0 -1 -6 -4 -3 -4
Curve Equation t 1682d1 [1,0,1,-2541,10430] 3 1682d2 [1,0,1,-124486,-16915536] 1
1682e (1 curve)	0	2+ 29-	2+  3  0  4 -1  6  2  1
Curve Equation t 1682e1 [1,-1,0,263,749] 1
1682f (2 curves)	0	2- 29+	2-  2  0 -1  6 -4  3  4
Curve Equation t 1682f1 [1,1,1,-3,-1] 1 1682f2 [1,1,1,-148,-755] 1
1682g (1 curve)	0	2- 29+	2-  3 -3 -2  1  3  4  8
Curve Equation t 1682g1 [1,-1,1,-999,17779] 1
1682h (1 curve)	0	2- 29+	2- -3  0  4  1  6 -2 -1
Curve Equation t 1682h1 [1,-1,1,221025,19814919] 1
1682i (2 curves)	1	2- 29-	2-  1 -1 -2 -5  1 -2  4
Curve Equation t Generators 1682i1 [1,0,0,-61,-191] 1 [12:23:1] 1682i2 [1,0,0,374,7204] 1 [12:110:1]
1682j (1 curve)	1	2- 29-	2-  2 -2 -5  0  2 -7 -6
Curve Equation t Generators 1682j1 [1,1,1,-39124,-2988683] 1 [-3165:3251:27]

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