Cremona's table of elliptic curves

31974 = 2 · 3 · 73²

Class	r	Atkin-Lehner	Eigenvalues
31974a (2 curves)	1	2+ 3+ 73+	2+ 3+  0  2 -4  6  0 -4
Curve Equation t Generators 31974a1 [1,1,0,-29420,-312576] 2 [-20:528:1] 31974a2 [1,1,0,-349160,-79416252] 2 [-118769:177470:343]
31974b (4 curves)	0	2+ 3- 73+	2+ 3-  0  4  6  4  6  8
Curve Equation t 31974b1 [1,0,1,-10367681,12814280372] 2 31974b2 [1,0,1,-165761321,821420625476] 2 31974b3 [1,0,1,-51374336,-131131164850] 2 31974b4 [1,0,1,-174154496,733634058062] 2
31974c (1 curve)	0	2+ 3- 73+	2+ 3-  2 -3  2 -6 -6 -5
Curve Equation t 31974c1 [1,0,1,-233418305,-1372640114572] 1
31974d (1 curve)	0	2+ 3- 73+	2+ 3-  2  4  2  1  1  2
Curve Equation t 31974d1 [1,0,1,-34750,2490416] 1
31974e (2 curves)	0	2+ 3- 73+	2+ 3- -2  2 -2 -4 -4 -4
Curve Equation t 31974e1 [1,0,1,-690217,-212055124] 2 31974e2 [1,0,1,-10921897,-13893857620] 2
31974f (1 curve)	0	2+ 3- 73+	2+ 3- -2  3 -2  6  6 -5
Curve Equation t 31974f1 [1,0,1,-43802,-3532084] 1
31974g (1 curve)	0	2+ 3- 73+	2+ 3- -2 -4 -2 -1 -1  2
Curve Equation t 31974g1 [1,0,1,-185180197,969925339280] 1
31974h (2 curves)	0	2+ 3- 73+	2+ 3-  3  1  3  4 -6  2
Curve Equation t 31974h1 [1,0,1,-2,-52] 1 31974h2 [1,0,1,-1097,-14068] 1
31974i (2 curves)	0	2+ 3- 73+	2+ 3- -3 -1 -3 -4  6  2
Curve Equation t 31974i1 [1,0,1,-8105,-20083228] 3 31974i2 [1,0,1,-5843360,-5437533970] 1
31974j (2 curves)	0	2+ 3- 73+	2+ 3-  4  0 -2  0  6 -8
Curve Equation t 31974j1 [1,0,1,-40079,1115534] 2 31974j2 [1,0,1,-519689,144039314] 2
31974k (4 curves)	0	2- 3+ 73+	2- 3+  2  4  0  2  6 -4
Curve Equation t 31974k1 [1,1,1,-101362,9723263] 4 31974k2 [1,1,1,-527682,-139318209] 4 31974k3 [1,1,1,431538,-588233169] 2 31974k4 [1,1,1,-8308022,-9220531057] 2
31974l (2 curves)	1	2- 3- 73+	2- 3-  0  1 -2 -2  4  1
Curve Equation t Generators 31974l1 [1,0,0,-202613,257966673] 1 [444:15765:1] 31974l2 [1,0,0,-81896183,-287891593431] 1 [10671738:1786231299:343]
31974m (2 curves)	1	2- 3- 73+	2- 3-  0 -1  2  2 -4  1
Curve Equation t Generators 31974m1 [1,0,0,-38,660] 1 [-2:28:1] 31974m2 [1,0,0,-15368,-741312] 1 [144:120:1]
31974n (2 curves)	1	2- 3- 73+	2- 3-  0  2 -4 -4  2  4
Curve Equation t Generators 31974n1 [1,0,0,-69388,-6975220] 2 [81412672:275340667:262144] 31974n2 [1,0,0,-16098,-17409402] 2 [302326965269952:-1488267698518757:1053734731776]
31974o (4 curves)	1	2- 3- 73+	2- 3-  0 -2  0  4 -6 -4
Curve Equation t Generators 31974o1 [1,0,0,-4998713,-3690566535] 2 [-155470:3147239:125] 31974o2 [1,0,0,8643527,-20304086407] 2 [5846:476687:1] 31974o3 [1,0,0,-388686713,-2949527319879] 2 [54318:11643351:1] 31974o4 [1,0,0,-388473553,-2952923939215] 2 [59720:13639025:1]

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

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