Cremona's table of elliptic curves

27489 = 3 · 7² · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
27489a (1 curve)	2	3+ 7+ 11+ 17-	1 3+  0 7+ 11+ -6 17- -4
Curve Equation t Generators 27489a1 [1,1,0,99935,-1978388] 1 [28:904:1]&[1142:30641:8]
27489b (1 curve)	2	3+ 7+ 11+ 17-	-1 3+ -1 7+ 11+ -5 17-  0
Curve Equation t Generators 27489b1 [1,1,1,-93346,-10698220] 1 [412:-4788:1]&[-1434:5201:8]
27489c (1 curve)	2	3+ 7+ 11+ 17-	-1 3+ -4 7+ 11+ -2 17-  0
Curve Equation t Generators 27489c1 [1,1,1,-50,146] 1 [-8:14:1]&[6:-14:1]
27489d (1 curve)	0	3+ 7+ 11- 17+	2 3+  0 7+ 11-  3 17+ -1
Curve Equation t 27489d1 [0,-1,1,-1878,50609] 1
27489e (1 curve)	1	3+ 7+ 11- 17-	0 3+ -2 7+ 11-  6 17- -6
Curve Equation t Generators 27489e1 [0,-1,1,131,-939] 1 [7:16:1]
27489f (2 curves)	1	3+ 7- 11+ 17-	0 3+  0 7- 11+  4 17-  4
Curve Equation t Generators 27489f1 [0,-1,1,47,-36] 1 [16:67:1] 27489f2 [0,-1,1,-583,6201] 1 [13:-26:1]
27489g (2 curves)	1	3+ 7- 11+ 17-	-1 3+  0 7- 11+  2 17- -6
Curve Equation t Generators 27489g1 [1,1,1,-1373,15434] 2 [-4:146:1] 27489g2 [1,1,1,2792,95402] 2 [-8:273:1]
27489h (1 curve)	1	3+ 7- 11+ 17-	-1 3+  3 7- 11+  5 17-  0
Curve Equation t Generators 27489h1 [1,1,1,-489854,-131259976] 1 [366086:7956472:343]
27489i (4 curves)	1	3+ 7- 11- 17+	-1 3+ -2 7- 11-  2 17+ -8
Curve Equation t Generators 27489i1 [1,1,1,-589,-5734] 2 [-14:9:1] 27489i2 [1,1,1,-834,-834] 4 [-18:102:1] 27489i3 [1,1,1,3331,-2500] 2 [20:259:1] 27489i4 [1,1,1,-8919,319332] 2 [69:161:1]
27489j (1 curve)	0	3+ 7- 11- 17-	0 3+  2 7- 11-  6 17-  6
Curve Equation t 27489j1 [0,-1,1,-13197,-584872] 1
27489k (1 curve)	0	3+ 7- 11- 17-	-2 3+  0 7- 11-  4 17-  2
Curve Equation t 27489k1 [0,-1,1,-408,-3634] 1
27489l (2 curves)	0	3- 7+ 11+ 17+	0 3-  0 7+ 11+ -4 17+ -4
Curve Equation t 27489l1 [0,1,1,2287,7676] 3 27489l2 [0,1,1,-28583,-2069875] 1
27489m (1 curve)	2	3- 7+ 11+ 17+	-1 3- -3 7+ 11+ -5 17+  0
Curve Equation t Generators 27489m1 [1,0,0,-9997,381254] 1 [-115:173:1]&[89:401:1]
27489n (1 curve)	1	3- 7- 11+ 17+	1 3-  0 7- 11+  6 17+  4
Curve Equation t Generators 27489n1 [1,0,1,2039,6059] 1 [1:89:1]
27489o (1 curve)	1	3- 7- 11+ 17+	1 3-  3 7- 11+ -1 17+ -4
Curve Equation t Generators 27489o1 [1,0,1,1248,89863] 1 [-31:162:1]
27489p (1 curve)	1	3- 7- 11+ 17+	-1 3-  1 7- 11+ -1 17+  0
Curve Equation t Generators 27489p1 [1,0,0,-38270,2878833] 1 [109:-128:1]
27489q (1 curve)	1	3- 7- 11+ 17+	-1 3-  1 7- 11+  5 17+  0
Curve Equation t Generators 27489q1 [1,0,0,-1905,30918] 1 [29:2:1]
27489r (4 curves)	1	3- 7- 11+ 17+	-1 3- -2 7- 11+  2 17+  0
Curve Equation t Generators 27489r1 [1,0,0,-6556299,-6462078120] 2 [-23117775:12728037:15625] 27489r2 [1,0,0,-6627104,-6315384321] 4 [-1259:6367:1] 27489r3 [1,0,0,3373061,-23701671190] 2 [2531:31148:1] 27489r4 [1,0,0,-17760149,20459588904] 2 [3592:53104:1]
27489s (1 curve)	1	3- 7- 11+ 17+	-1 3-  4 7- 11+  2 17+  0
Curve Equation t Generators 27489s1 [1,0,0,-2451,-57492] 1 [20951:39962:343]
27489t (1 curve)	0	3- 7- 11- 17+	0 3-  2 7- 11- -6 17+  6
Curve Equation t 27489t1 [0,1,1,6403,309173] 1
27489u (1 curve)	1	3- 7- 11- 17-	0 3-  2 7- 11- -2 17- -2
Curve Equation t Generators 27489u1 [0,1,1,-182737,30006064] 1 [242:121:1]
27489v (2 curves)	1	3- 7- 11- 17-	-1 3-  0 7- 11- -6 17- -2
Curve Equation t Generators 27489v1 [1,0,0,-10829883,-13718680200] 2 [4029:87729:1] 27489v2 [1,0,0,-10825718,-13729758267] 2 [7627:585583:1]
27489w (1 curve)	1	3- 7- 11- 17-	2 3-  0 7- 11- -3 17-  1
Curve Equation t Generators 27489w1 [0,1,1,-92038,-17174909] 1 [5338:118367:8]

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

Part of Computational Number Theory
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