Cremona's table of elliptic curves

10478 = 2 · 13² · 31

Class	r	Atkin-Lehner	Eigenvalues
10478a (3 curves)	1	2+ 13+ 31+	2+  1 -3  1  0 13+  3 -2
Curve Equation t Generators 10478a1 [1,0,1,424355,86139640] 1 [218:13639:1] 10478a2 [1,0,1,-4334685,-4819132680] 1 [57453730422:16937052814994:658503] 10478a3 [1,0,1,-387619925,-2937392971160] 1 [16505115126607241523171432978:-4775145313584082041392646812033:187162685768488593326409]
10478b (1 curve)	1	2+ 13+ 31+	2+  1  4  0 -3 13+ -2 -2
Curve Equation t Generators 10478b1 [1,0,1,-1694,-29066] 1 [20302604:214611722:148877]
10478c (2 curves)	1	2+ 13+ 31+	2+ -1 -1 -3 -2 13+  3  0
Curve Equation t Generators 10478c1 [1,1,0,-2383748,1415624176] 1 [941:2149:1] 10478c2 [1,1,0,11303562,4917883846] 1 [2928639849:-250638135653:658503]
10478d (1 curve)	1	2+ 13+ 31+	2+ -1  2  0  1 13+  0 -6
Curve Equation t Generators 10478d1 [1,1,0,13686,-935852] 1 [433371:2742148:6859]
10478e (4 curves)	0	2+ 13+ 31-	2+  0  2  0  0 13+ -6 -4
Curve Equation t 10478e1 [1,-1,0,-116,2432] 2 10478e2 [1,-1,0,-3496,80172] 4 10478e3 [1,-1,0,-5186,-3990] 2 10478e4 [1,-1,0,-55886,5099134] 2
10478f (1 curve)	0	2+ 13+ 31-	2+  1  3  3  4 13+  3  4
Curve Equation t 10478f1 [1,0,1,-16397,809512] 1
10478g (1 curve)	0	2+ 13+ 31-	2+ -3 -1  3  0 13+  3  8
Curve Equation t 10478g1 [1,-1,0,53795,-5038331] 1
10478h (1 curve)	1	2+ 13- 31-	2+ -1 -1  1 -2 13- -1  2
Curve Equation t Generators 10478h1 [1,1,0,-232378,43021724] 1 [239:979:1]
10478i (1 curve)	1	2+ 13- 31-	2+ -1 -1 -5  4 13- -7  2
Curve Equation t Generators 10478i1 [1,1,0,-1628,-55856] 1 [57:173:1]
10478j (1 curve)	1	2- 13+ 31-	2-  1 -1  3  0 13+ -5  2
Curve Equation t Generators 10478j1 [1,0,0,-426,66884] 1 [40:318:1]
10478k (1 curve)	1	2- 13+ 31-	2-  1 -4  0  3 13+ -2  2
Curve Equation t Generators 10478k1 [1,0,0,-10,-14] 1 [276:199:64]
10478l (1 curve)	1	2- 13+ 31-	2- -1  1 -1 -2 13+  7  4
Curve Equation t Generators 10478l1 [1,1,1,8700,-430331] 1 [473:10241:1]
10478m (1 curve)	1	2- 13+ 31-	2- -1 -2  0 -1 13+  0  6
Curve Equation t Generators 10478m1 [1,1,1,81,-395] 1 [5:10:1]
10478n (1 curve)	1	2- 13- 31+	2- -1  1 -1  2 13- -1 -2
Curve Equation t Generators 10478n1 [1,1,1,-1375,19053] 1 [17:22:1]
10478o (1 curve)	1	2- 13- 31+	2- -1  1  5 -4 13- -7 -2
Curve Equation t Generators 10478o1 [1,1,1,-275220,-121339691] 1 [16463:2103085:1]

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