Cremona's table of elliptic curves

10086 = 2 · 3 · 41²

Class	r	Atkin-Lehner	Eigenvalues
10086a (2 curves)	1	2+ 3+ 41+	2+ 3+ -1 -2  0  1 -3  1
Curve Equation t Generators 10086a1 [1,1,0,-178,916] 1 [3:19:1] 10086a2 [1,1,0,232,-67554] 1 [85:716:1]
10086b (1 curve)	1	2+ 3+ 41+	2+ 3+ -2 -2 -1  5 -4 -6
Curve Equation t Generators 10086b1 [1,1,0,-1121,13749] 1 [34:111:1]
10086c (2 curves)	1	2+ 3+ 41+	2+ 3+ -2 -2 -4 -4  2  0
Curve Equation t Generators 10086c1 [1,1,0,-763000051,-8112448846355] 2 [-1614671580049472597171:784001395068712236772:101231834218287193] 10086c2 [1,1,0,-761924211,-8136465253011] 2 [3113177950166683309387423715930651944971:-248548773856983539598767937434980007831556:89323800032750374928331380077969951]
10086d (2 curves)	1	2+ 3+ 41+	2+ 3+  3 -2  6  1 -3 -5
Curve Equation t Generators 10086d1 [1,1,0,-2556,162702] 1 [-386:3555:8] 10086d2 [1,1,0,22659,-4048203] 1 [286310:4956999:1000]
10086e (1 curve)	0	2+ 3+ 41-	2+ 3+  0  4  5  7  2  2
Curve Equation t 10086e1 [1,1,0,-93330,-7008444] 1
10086f (1 curve)	0	2+ 3+ 41-	2+ 3+  1 -1 -4 -4 -2 -2
Curve Equation t 10086f1 [1,1,0,-575777,-175106763] 1
10086g (1 curve)	2	2+ 3- 41+	2+ 3-  0 -4 -5 -7 -2 -2
Curve Equation t Generators 10086g1 [1,0,1,-56,-106] 1 [-4:9:1]&[-3:7:1]
10086h (1 curve)	0	2+ 3- 41+	2+ 3-  1  1  4  4  2  2
Curve Equation t 10086h1 [1,0,1,-343,-2566] 1
10086i (2 curves)	0	2+ 3- 41+	2+ 3- -1  2  0 -1  3 -1
Curve Equation t 10086i1 [1,0,1,-300094,68228240] 1 10086i2 [1,0,1,389116,-4662509200] 1
10086j (2 curves)	0	2+ 3- 41+	2+ 3- -2 -2  4  4  2  8
Curve Equation t 10086j1 [1,0,1,-111822,14301760] 2 10086j2 [1,0,1,-44582,31353824] 2
10086k (1 curve)	0	2+ 3- 41+	2+ 3-  3  2 -2 -1 -5  1
Curve Equation t 10086k1 [1,0,1,-69797,-7295728] 1
10086l (1 curve)	1	2+ 3- 41-	2+ 3- -2  2  1 -5  4  6
Curve Equation t Generators 10086l1 [1,0,1,-1885277,979639544] 1 [11907:1285054:1]
10086m (2 curves)	0	2- 3+ 41+	2- 3+  1  2 -2  1  7 -5
Curve Equation t 10086m1 [1,1,1,-294210,-1918360497] 1 10086m2 [1,1,1,-974198370,-11703998947377] 1
10086n (4 curves)	0	2- 3+ 41+	2- 3+ -2 -4  4 -2 -2  4
Curve Equation t 10086n1 [1,1,1,-15164,665741] 4 10086n2 [1,1,1,-48784,-3368659] 4 10086n3 [1,1,1,-737994,-244316475] 2 10086n4 [1,1,1,102506,-19950043] 2
10086o (1 curve)	1	2- 3+ 41-	2- 3+ -2  2 -1 -1  4 -2
Curve Equation t Generators 10086o1 [1,1,1,-34105844,76562241077] 1 [2381:92945:1]
10086p (1 curve)	1	2- 3- 41+	2- 3-  1 -2 -2  7 -7 -7
Curve Equation t Generators 10086p1 [1,0,0,-453905,-117776511] 1 [796:4645:1]
10086q (1 curve)	1	2- 3- 41+	2- 3- -2 -2  1  1 -4  2
Curve Equation t Generators 10086q1 [1,0,0,-20289,1109385] 1 [78:15:1]

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