Cremona's table of elliptic curves

89590 = 2 · 5 · 17² · 31

Class	r	Atkin-Lehner	Eigenvalues
89590a (1 curve)	1	2+ 5+ 17+ 31+	2+  2 5+  5 -1 -1 17+  3
Curve Equation t Generators 89590a1 [1,1,0,717,-412183] 1 [737072:33811205:343]
89590b (1 curve)	0	2+ 5+ 17+ 31-	2+  0 5+  3  3  1 17+  0
Curve Equation t 89590b1 [1,-1,0,-223655,-91588099] 1
89590c (1 curve)	0	2+ 5+ 17+ 31-	2+ -1 5+  2  2  3 17+ -2
Curve Equation t 89590c1 [1,1,0,-103199738,-339985428332] 1
89590d (1 curve)	0	2+ 5+ 17+ 31-	2+  2 5+  1 -3  1 17+  3
Curve Equation t 89590d1 [1,1,0,-501548,-660092848] 1
89590e (2 curves)	0	2+ 5- 17+ 31+	2+ -1 5- -2  6  5 17+  2
Curve Equation t 89590e1 [1,1,0,-113727,14637781] 1 89590e2 [1,1,0,-696062,-213843596] 1
89590f (1 curve)	0	2+ 5- 17+ 31+	2+ -2 5- -1  3  1 17+  3
Curve Equation t 89590f1 [1,0,1,-144947523,-3242021529922] 1
89590g (1 curve)	1	2+ 5- 17+ 31-	2+ -2 5- -1 -1 -3 17+  1
Curve Equation t Generators 89590g1 [1,0,1,-2047138,-1130217612] 1 [8269:735705:1]
89590h (1 curve)	1	2+ 5- 17+ 31-	2+ -2 5- -5  1 -1 17+  3
Curve Equation t Generators 89590h1 [1,0,1,2,-84] 1 [7:-21:1]
89590i (1 curve)	1	2+ 5- 17- 31+	2+  0 5- -3 -3  1 17-  0
Curve Equation t Generators 89590i1 [1,-1,0,-64636349,-450230875707] 1 [11777:643639:1]
89590j (1 curve)	0	2- 5+ 17+ 31+	2-  3 5+  4 -6  1 17+  0
Curve Equation t 89590j1 [1,-1,1,-63,187] 1
89590k (4 curves)	1	2- 5+ 17+ 31-	2-  0 5+  0 -4 -6 17+ -4
Curve Equation t Generators 89590k1 [1,-1,1,15407,-8922943] 2 [191:884:1] 89590k2 [1,-1,1,-562593,-156659743] 4 [14641:1761824:1] 89590k3 [1,-1,1,-1458493,467245017] 2 [9648936753:1159251585982:658503] 89590k4 [1,-1,1,-8914693,-10242655703] 2 [8440855897:998452147698:571787]
89590l (1 curve)	1	2- 5+ 17+ 31-	2-  3 5+  0  0  1 17+ -6
Curve Equation t Generators 89590l1 [1,-1,1,-51063,3732367] 1 [2289:1154:27]
89590m (4 curves)	1	2- 5- 17+ 31+	2-  2 5-  4  0 -4 17+ -4
Curve Equation t Generators 89590m1 [1,1,1,-30640,2094097] 2 [85:293:1] 89590m2 [1,1,1,-493040,133045777] 2 [10965:-4453:27] 89590m3 [1,1,1,131200,9085585] 2 [2975:162039:1] 89590m4 [1,1,1,-591300,76133585] 2 [179291775:9459110441:59319]
89590n (2 curves)	0	2- 5- 17+ 31-	2- -2 5-  0 -2  0 17+ -4
Curve Equation t 89590n1 [1,0,0,-19080,-1049600] 2 89590n2 [1,0,0,-308080,-65843400] 2
89590o (1 curve)	0	2- 5- 17+ 31-	2- -2 5- -5  3  5 17+  1
Curve Equation t 89590o1 [1,0,0,-769035,259892257] 1
89590p (1 curve)	0	2- 5- 17+ 31-	2- -3 5- -4  6  1 17+  0
Curve Equation t 89590p1 [1,-1,1,-18117,847569] 1

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