Cremona's table of elliptic curves

14685 = 3 · 5 · 11 · 89

Class	r	Atkin-Lehner	Eigenvalues
14685a (1 curve)	1	3+ 5+ 11+ 89+	1 3+ 5+ -4 11+ -5 -3  2
Curve Equation t Generators 14685a1 [1,1,0,-363,5418] 1 [74:588:1]
14685b (2 curves)	1	3+ 5+ 11- 89-	1 3+ 5+  2 11- -4 -6  2
Curve Equation t Generators 14685b1 [1,1,0,-413,-3408] 2 [32:116:1] 14685b2 [1,1,0,-358,-4277] 2 [254:935:8]
14685c (4 curves)	1	3+ 5- 11+ 89-	-1 3+ 5- -4 11+ -2  2  4
Curve Equation t Generators 14685c1 [1,1,1,75,-78] 2 [26:129:1] 14685c2 [1,1,1,-330,-1050] 4 [-6:30:1] 14685c3 [1,1,1,-4335,-111588] 2 [-38:26:1] 14685c4 [1,1,1,-2805,55380] 4 [39:65:1]
14685d (1 curve)	1	3+ 5- 11- 89+	0 3+ 5-  0 11-  2 -8 -2
Curve Equation t Generators 14685d1 [0,-1,1,-2065,37068] 1 [24:27:1]
14685e (2 curves)	1	3+ 5- 11- 89+	-1 3+ 5-  2 11- -6 -2 -4
Curve Equation t Generators 14685e1 [1,1,1,-1810,-25138] 2 [-28:81:1] 14685e2 [1,1,1,-8685,285612] 2 [87:401:1]
14685f (4 curves)	2	3+ 5- 11- 89-	-1 3+ 5- -4 11-  2 -6 -8
Curve Equation t Generators 14685f1 [1,1,1,-10470,407970] 4 [-117:278:1]&[-62:938:1] 14685f2 [1,1,1,-11075,357392] 4 [-88:856:1]&[-63:931:1] 14685f3 [1,1,1,-55130,-4682500] 2 [-162:253:1]&[-132:628:1] 14685f4 [1,1,1,23300,2172392] 2 [-53:916:1]&[-33:1186:1]
14685g (6 curves)	1	3- 5- 11- 89-	-1 3- 5-  0 11- -2  2 -4
Curve Equation t Generators 14685g1 [1,0,0,-8635,76472] 4 [-88:440:1] 14685g2 [1,0,0,-81840,-8957025] 8 [375:3435:1] 14685g3 [1,0,0,-1306965,-575209800] 4 [5820:431790:1] 14685g4 [1,0,0,-27995,-20555238] 4 [319:1573:1] 14685g5 [1,0,0,-20911440,-36808200495] 2 [6691310:347185799:1000] 14685g6 [1,0,0,-1304490,-577496205] 2 [10056828:746142041:1728]
14685h (1 curve)	1	3- 5- 11- 89-	-2 3- 5- -2 11- -4  0 -2
Curve Equation t Generators 14685h1 [0,1,1,2640,6806] 1 [165:-2228:1]

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

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