Cremona's table of elliptic curves

14586 = 2 · 3 · 11 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
14586a (1 curve)	1	2+ 3+ 11- 13+ 17-	2+ 3+ -2 -1 11- 13+ 17-  8
Curve Equation t Generators 14586a1 [1,1,0,-362681,88298661] 1 [-110:11319:1]
14586b (2 curves)	1	2+ 3+ 11- 13- 17+	2+ 3+  0  2 11- 13- 17+  4
Curve Equation t Generators 14586b1 [1,1,0,-3020,-59376] 2 [-37:77:1] 14586b2 [1,1,0,3740,-279752] 2 [67:493:1]
14586c (1 curve)	1	2+ 3+ 11- 13- 17+	2+ 3+ -2 -3 11- 13- 17+ -4
Curve Equation t Generators 14586c1 [1,1,0,-51,429] 1 [14:45:1]
14586d (1 curve)	1	2+ 3- 11+ 13- 17+	2+ 3-  1  1 11+ 13- 17+  8
Curve Equation t Generators 14586d1 [1,0,1,-2358,91720] 1 [20:219:1]
14586e (1 curve)	1	2+ 3- 11- 13+ 17+	2+ 3-  2  1 11- 13+ 17+ -4
Curve Equation t Generators 14586e1 [1,0,1,5,74] 1 [1:8:1]
14586f (2 curves)	1	2+ 3- 11- 13+ 17+	2+ 3- -4 -2 11- 13+ 17+ -4
Curve Equation t Generators 14586f1 [1,0,1,-39458,2580212] 2 [-51:2137:1] 14586f2 [1,0,1,68702,14261492] 2 [-14:3653:1]
14586g (2 curves)	0	2+ 3- 11- 13+ 17-	2+ 3-  4  0 11- 13+ 17-  2
Curve Equation t 14586g1 [1,0,1,-94,-256] 2 14586g2 [1,0,1,246,-1616] 2
14586h (4 curves)	1	2+ 3- 11- 13- 17-	2+ 3-  0 -4 11- 13- 17-  2
Curve Equation t Generators 14586h1 [1,0,1,-100326,7911736] 6 [-340:1827:1] 14586h2 [1,0,1,292714,54762104] 6 [-63:6037:1] 14586h3 [1,0,1,-3295221,-2302254848] 2 [8542365:-256242406:3375] 14586h4 [1,0,1,-2947061,-2807643904] 2 [97185:4872674:27]
14586i (1 curve)	1	2- 3+ 11+ 13+ 17-	2- 3+  1  3 11+ 13+ 17- -4
Curve Equation t Generators 14586i1 [1,1,1,225,1059] 1 [14:295:8]
14586j (2 curves)	1	2- 3+ 11- 13+ 17+	2- 3+  0 -4 11- 13+ 17+  2
Curve Equation t Generators 14586j1 [1,1,1,-84338,-9461761] 2 [-169:97:1] 14586j2 [1,1,1,-78898,-10728193] 2 [375:3361:1]
14586k (4 curves)	0	2- 3+ 11- 13- 17+	2- 3+ -2  0 11- 13- 17+  8
Curve Equation t 14586k1 [1,1,1,895336,-35804233639] 4 14586k2 [1,1,1,-157701784,-747588108199] 4 14586k3 [1,1,1,-2509653144,-48392477978535] 2 14586k4 [1,1,1,-343304344,1346305732697] 2
14586l (1 curve)	1	2- 3+ 11- 13- 17-	2- 3+ -1  3 11- 13- 17-  0
Curve Equation t Generators 14586l1 [1,1,1,1144,-10604023] 1 [381:6541:1]

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

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