Cremona's table of elliptic curves

2142 = 2 · 3² · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
2142a (1 curve)	1	2+ 3+ 7+ 17+	2+ 3+  1 7+  1 -3 17+ -2
Curve Equation t Generators 2142a1 [1,-1,0,-474,-5068] 1 [43:208:1]
2142b (2 curves)	0	2+ 3+ 7- 17+	2+ 3+  3 7-  3  5 17+  2
Curve Equation t 2142b1 [1,-1,0,-168,882] 3 2142b2 [1,-1,0,147,3437] 1
2142c (1 curve)	1	2+ 3+ 7- 17-	2+ 3+  1 7-  3 -5 17- -6
Curve Equation t Generators 2142c1 [1,-1,0,156,-144] 1 [15:66:1]
2142d (4 curves)	0	2+ 3- 7+ 17+	2+ 3-  2 7+  0 -6 17+  0
Curve Equation t 2142d1 [1,-1,0,9,-2723] 2 2142d2 [1,-1,0,-2871,-57443] 4 2142d3 [1,-1,0,-45711,-3750251] 2 2142d4 [1,-1,0,-6111,98725] 2
2142e (2 curves)	1	2+ 3- 7+ 17-	2+ 3-  0 7+  2 -2 17-  0
Curve Equation t Generators 2142e1 [1,-1,0,-162,832] 2 [-1:32:1] 2142e2 [1,-1,0,-252,-122] 2 [-3:26:1]
2142f (1 curve)	1	2+ 3- 7+ 17-	2+ 3- -3 7+ -1  1 17-  6
Curve Equation t Generators 2142f1 [1,-1,0,-19836,1106896] 1 [71:194:1]
2142g (6 curves)	1	2+ 3- 7- 17+	2+ 3-  2 7- -4 -2 17+  4
Curve Equation t Generators 2142g1 [1,-1,0,-632196,-193075376] 2 [-447:451:1] 2142g2 [1,-1,0,-816516,-71166128] 4 [-513:14834:1] 2142g3 [1,-1,0,-7731396,8219774992] 4 [992:38564:1] 2142g4 [1,-1,0,3149244,-562127216] 2 [6608:552356:1] 2142g5 [1,-1,0,-123467436,528082919464] 2 [812905:1117864:125] 2142g6 [1,-1,0,-2633436,18893883640] 2 [3015:194335:1]
2142h (4 curves)	1	2+ 3- 7- 17+	2+ 3- -2 7-  0 -2 17+  4
Curve Equation t Generators 2142h1 [1,-1,0,-168,-784] 2 [-7:7:1] 2142h2 [1,-1,0,-348,1340] 4 [-13:66:1] 2142h3 [1,-1,0,-4758,127466] 2 [43:10:1] 2142h4 [1,-1,0,1182,8990] 2 [5:120:1]
2142i (1 curve)	1	2+ 3- 7- 17+	2+ 3- -3 7-  1  3 17+ -6
Curve Equation t Generators 2142i1 [1,-1,0,9,31] 1 [-1:5:1]
2142j (3 curves)	0	2+ 3- 7- 17-	2+ 3-  3 7- -3  5 17-  2
Curve Equation t 2142j1 [1,-1,0,972,-314928] 1 2142j2 [1,-1,0,-8748,8508888] 3 2142j3 [1,-1,0,-3435318,2451690342] 3
2142k (2 curves)	0	2+ 3- 7- 17-	2+ 3-  4 7-  6 -2 17-  0
Curve Equation t 2142k1 [1,-1,0,-540,-432] 2 2142k2 [1,-1,0,-6300,-190512] 2
2142l (1 curve)	1	2- 3+ 7+ 17-	2- 3+ -1 7+ -1 -3 17- -2
Curve Equation t Generators 2142l1 [1,-1,1,-53,205] 1 [7:-16:1]
2142m (1 curve)	1	2- 3+ 7- 17+	2- 3+ -1 7- -3 -5 17+ -6
Curve Equation t Generators 2142m1 [1,-1,1,1402,2485] 1 [19:179:1]
2142n (2 curves)	0	2- 3+ 7- 17-	2- 3+ -3 7- -3  5 17-  2
Curve Equation t 2142n1 [1,-1,1,16,-133] 3 2142n2 [1,-1,1,-1514,-22301] 1
2142o (1 curve)	1	2- 3- 7+ 17+	2- 3- -1 7+ -3 -3 17+  6
Curve Equation t Generators 2142o1 [1,-1,1,-338,2553] 1 [23:69:1]
2142p (2 curves)	0	2- 3- 7+ 17-	2- 3-  2 7+  2  0 17- -2
Curve Equation t 2142p1 [1,-1,1,16,-17] 2 2142p2 [1,-1,1,-74,-89] 2
2142q (2 curves)	0	2- 3- 7+ 17-	2- 3- -2 7+  6  0 17- -2
Curve Equation t 2142q1 [1,-1,1,-30011,-2242389] 2 2142q2 [1,-1,1,-496571,-134558805] 2
2142r (2 curves)	0	2- 3- 7- 17+	2- 3-  2 7-  2  4 17+ -2
Curve Equation t 2142r1 [1,-1,1,-194,-1407] 2 2142r2 [1,-1,1,-3434,-76575] 2
2142s (1 curve)	1	2- 3- 7- 17-	2- 3- -1 7- -5 -1 17- -6
Curve Equation t Generators 2142s1 [1,-1,1,-131378,18407985] 1 [-223:6159:1]
2142t (2 curves)	1	2- 3- 7- 17-	2- 3- -4 7-  4 -4 17- -6
Curve Equation t Generators 2142t1 [1,-1,1,283,285] 2 [3:32:1] 2142t2 [1,-1,1,-1157,3165] 2 [-27:132:1]

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