Cremona's table of elliptic curves

17556 = 2² · 3 · 7 · 11 · 19

Class	r	Atkin-Lehner	Eigenvalues
17556a (1 curve)	1	2- 3+ 7+ 11+ 19-	2- 3+ -3 7+ 11+ -4 -4 19-
Curve Equation t Generators 17556a1 [0,-1,0,-77,-231] 1 [-5:2:1]
17556b (2 curves)	1	2- 3+ 7+ 11- 19+	2- 3+  2 7+ 11-  2  0 19+
Curve Equation t Generators 17556b1 [0,-1,0,-18677,-916218] 2 [181:1265:1] 17556b2 [0,-1,0,-58772,4392360] 2 [14:1890:1]
17556c (2 curves)	1	2- 3+ 7+ 11- 19+	2- 3+ -2 7+ 11-  0  6 19+
Curve Equation t Generators 17556c1 [0,-1,0,231,6174] 2 [30:198:1] 17556c2 [0,-1,0,-4004,92568] 2 [-47:418:1]
17556d (1 curve)	0	2- 3+ 7+ 11- 19-	2- 3+  3 7+ 11-  6  6 19-
Curve Equation t 17556d1 [0,-1,0,76,-408] 1
17556e (1 curve)	1	2- 3+ 7- 11+ 19+	2- 3+ -1 7- 11+  0 -4 19+
Curve Equation t Generators 17556e1 [0,-1,0,-83181,-5513463] 1 [-88:1057:1]
17556f (1 curve)	0	2- 3+ 7- 11+ 19-	2- 3+  3 7- 11+  6 -2 19-
Curve Equation t 17556f1 [0,-1,0,-356004,82877256] 1
17556g (1 curve)	0	2- 3+ 7- 11+ 19-	2- 3+ -4 7- 11+  3 -1 19-
Curve Equation t 17556g1 [0,-1,0,875,-4799] 1
17556h (2 curves)	1	2- 3+ 7- 11- 19-	2- 3+ -2 7- 11- -4  6 19-
Curve Equation t Generators 17556h1 [0,-1,0,-492689,-320489406] 2 [995:13167:1] 17556h2 [0,-1,0,-10660924,-13380570440] 2 [-1854:2926:1]
17556i (1 curve)	0	2- 3- 7+ 11+ 19-	2- 3- -1 7+ 11+  2 -2 19-
Curve Equation t 17556i1 [0,1,0,-236,1428] 1
17556j (2 curves)	1	2- 3- 7+ 11- 19-	2- 3-  0 7+ 11-  6  2 19-
Curve Equation t Generators 17556j1 [0,1,0,-33,0] 2 [-3:9:1] 17556j2 [0,1,0,132,132] 2 [8:42:1]
17556k (1 curve)	1	2- 3- 7+ 11- 19-	2- 3- -1 7+ 11- -4  4 19-
Curve Equation t Generators 17556k1 [0,1,0,-17501,864303] 1 [66:33:1]
17556l (2 curves)	0	2- 3- 7- 11+ 19+	2- 3-  2 7- 11+ -2  0 19+
Curve Equation t 17556l1 [0,1,0,-77,-168] 2 17556l2 [0,1,0,-572,4980] 2
17556m (4 curves)	1	2- 3- 7- 11+ 19-	2- 3-  0 7- 11+  2  6 19-
Curve Equation t Generators 17556m1 [0,1,0,-2073,35352] 6 [-51:105:1] 17556m2 [0,1,0,-588,86436] 6 [120:1326:1] 17556m3 [0,1,0,-14673,-667980] 2 [-630:585:8] 17556m4 [0,1,0,5292,-2329068] 2 [134210:903669:1000]
17556n (2 curves)	0	2- 3- 7- 11- 19-	2- 3-  3 7- 11-  2  6 19-
Curve Equation t 17556n1 [0,1,0,-269764,-631786012] 3 17556n2 [0,1,0,-64742524,-200533908652] 1
17556o (2 curves)	0	2- 3- 7- 11- 19-	2- 3-  3 7- 11- -4  6 19-
Curve Equation t 17556o1 [0,1,0,-309,1143] 3 17556o2 [0,1,0,-10869,-439737] 1

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

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