Cremona's table of elliptic curves

16974 = 2 · 3² · 23 · 41

Class	r	Atkin-Lehner	Eigenvalues
16974a (1 curve)	1	2+ 3+ 23- 41-	2+ 3+  1 -4 -4  1 -5  7
Curve Equation t Generators 16974a1 [1,-1,0,-21129,-1770949] 1 [1141:37621:1]
16974b (2 curves)	1	2+ 3- 23+ 41-	2+ 3-  0  2 -4 -2  0  4
Curve Equation t Generators 16974b1 [1,-1,0,-207,-1863] 2 [24:69:1] 16974b2 [1,-1,0,-3897,-92637] 2 [147:1506:1]
16974c (2 curves)	1	2+ 3- 23+ 41-	2+ 3-  0 -2  0  2  0  0
Curve Equation t Generators 16974c1 [1,-1,0,-62937,-6074195] 2 [1157:37748:1] 16974c2 [1,-1,0,-1007577,-389031251] 2 [6754933:137594164:4913]
16974d (1 curve)	1	2+ 3- 23+ 41-	2+ 3-  3  2 -4  1 -3  1
Curve Equation t Generators 16974d1 [1,-1,0,-46908,3922128] 1 [141:240:1]
16974e (2 curves)	1	2+ 3- 23+ 41-	2+ 3-  4 -2 -4 -6  0  4
Curve Equation t Generators 16974e1 [1,-1,0,2160,38848] 2 [59:578:1] 16974e2 [1,-1,0,-12600,378328] 2 [-111:688:1]
16974f (1 curve)	1	2+ 3- 23- 41+	2+ 3- -1 -2  4  3  3  7
Curve Equation t Generators 16974f1 [1,-1,0,1035,18229] 1 [35:293:1]
16974g (4 curves)	1	2+ 3- 23- 41+	2+ 3-  2  0 -4 -2  2 -4
Curve Equation t Generators 16974g1 [1,-1,0,129,269] 2 [23:111:1] 16974g2 [1,-1,0,-591,2717] 4 [-14:97:1] 16974g3 [1,-1,0,-4731,-122311] 2 [-37:51:1] 16974g4 [1,-1,0,-7971,275777] 2 [1:517:1]
16974h (6 curves)	1	2+ 3- 23- 41+	2+ 3-  2  0 -4  6 -2 -4
Curve Equation t Generators 16974h1 [1,-1,0,2034,-1470636] 2 [14399042567:-340755529206:26730899] 16974h2 [1,-1,0,-182286,-29229228] 4 [-512447:1897446:2197] 16974h3 [1,-1,0,-2898126,-1898270316] 2 [-839447845223:440580872369:854670349] 16974h4 [1,-1,0,-415566,61050132] 4 [-419:12917:1] 16974h5 [1,-1,0,-5862006,5462829324] 2 [-1625:104232:1] 16974h6 [1,-1,0,1298394,434350620] 2 [22145:3224257:125]
16974i (1 curve)	0	2- 3+ 23+ 41+	2- 3+ -1 -4  4  1  5  7
Curve Equation t 16974i1 [1,-1,1,-2348,66373] 1
16974j (2 curves)	1	2- 3- 23+ 41+	2- 3-  0  4 -2 -2 -2 -4
Curve Equation t Generators 16974j1 [1,-1,1,805,-70149] 2 [89:792:1] 16974j2 [1,-1,1,-21335,-1141725] 2 [171:348:1]
16974k (2 curves)	1	2- 3- 23+ 41+	2- 3-  2  0  0 -2  0  0
Curve Equation t Generators 16974k1 [1,-1,1,-284,1743] 2 [-1:45:1] 16974k2 [1,-1,1,-4424,114351] 2 [45:47:1]
16974l (2 curves)	1	2- 3- 23+ 41+	2- 3-  2  2 -2 -2 -4 -2
Curve Equation t Generators 16974l1 [1,-1,1,-11819,-475397] 2 [-71:80:1] 16974l2 [1,-1,1,4741,-1714085] 2 [113:448:1]
16974m (2 curves)	0	2- 3- 23+ 41-	2- 3-  0  4  6  2 -6  6
Curve Equation t 16974m1 [1,-1,1,5305,71295] 2 16974m2 [1,-1,1,-23855,619503] 2
16974n (2 curves)	0	2- 3- 23+ 41-	2- 3- -2  4  2  0 -6 -2
Curve Equation t 16974n1 [1,-1,1,-4091,-99669] 2 16974n2 [1,-1,1,-4451,-80805] 2
16974o (2 curves)	0	2- 3- 23- 41+	2- 3-  2 -2 -2  6  0  4
Curve Equation t 16974o1 [1,-1,1,117526,-1196567319] 2 16974o2 [1,-1,1,-16221794,-24633687927] 2
16974p (2 curves)	0	2- 3- 23- 41+	2- 3-  2  4  4  6  0  4
Curve Equation t 16974p1 [1,-1,1,-4424,-111477] 2 16974p2 [1,-1,1,-70664,-7212405] 2

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