Cremona's table of elliptic curves

113475 = 3 · 5² · 17 · 89

Class	r	Atkin-Lehner	Eigenvalues
113475a (1 curve)	0	3+ 5+ 17+ 89-	2 3+ 5+  1 -5  2 17+  0
Curve Equation t 113475a1 [0,-1,1,-9908,386843] 1
113475b (2 curves)	0	3+ 5+ 17- 89+	0 3+ 5+  1  3  4 17-  2
Curve Equation t 113475b1 [0,-1,1,5367,11918] 1 113475b2 [0,-1,1,-69633,-7684957] 1
113475c (2 curves)	0	3+ 5+ 17- 89+	1 3+ 5+  4  6 -2 17-  6
Curve Equation t 113475c1 [1,1,0,-19625,1050000] 2 113475c2 [1,1,0,-18500,1177125] 2
113475d (1 curve)	0	3+ 5+ 17- 89+	-2 3+ 5+  1 -3 -2 17-  0
Curve Equation t 113475d1 [0,-1,1,529992,23075624918] 1
113475e (1 curve)	1	3+ 5+ 17- 89-	0 3+ 5+ -5 -1  2 17-  0
Curve Equation t Generators 113475e1 [0,-1,1,-5417883,5479249043] 1 [-2023:90312:1]
113475f (4 curves)	1	3+ 5+ 17- 89-	-1 3+ 5+  0  0 -2 17- -4
Curve Equation t Generators 113475f1 [1,1,1,-1713,68406] 4 [9:227:1] 113475f2 [1,1,1,-37838,2813906] 4 [15:1492:1] 113475f3 [1,1,1,-48463,1092656] 2 [-31:1617:1] 113475f4 [1,1,1,-605213,180969656] 2 [3598:-1505:8]
113475g (1 curve)	1	3+ 5+ 17- 89-	2 3+ 5+  3 -3  4 17-  2
Curve Equation t Generators 113475g1 [0,-1,1,69342,-2289157] 1 [34869636646:1266058686321:27543608]
113475h (1 curve)	0	3+ 5- 17+ 89+	0 3+ 5-  2 -2  4 17+ -2
Curve Equation t 113475h1 [0,-1,1,-19583,-1057807] 1
113475i (1 curve)	0	3+ 5- 17- 89-	1 3+ 5-  4  2 -4 17-  6
Curve Equation t 113475i1 [1,1,0,-48250,-4100525] 1
113475j (6 curves)	1	3- 5+ 17+ 89-	1 3- 5+  0  4 -6 17+ -4
Curve Equation t Generators 113475j1 [1,0,1,-27127626,54381068023] 2 [23246:64873:8] 113475j2 [1,0,1,-27127751,54380541773] 4 [1397:137901:1] 113475j3 [1,0,1,-26226626,58161662273] 2 [772936:75572313:512] 113475j4 [1,0,1,-28030876,50565741773] 4 [9398:1105483:8] 113475j5 [1,0,1,41679749,262067778023] 2 [41779514:-5794016927:2744] 113475j6 [1,0,1,-112191501,-405079881977] 2 [-54063262:1980852741:10648]
113475k (2 curves)	1	3- 5+ 17+ 89-	-1 3- 5+  4  2 -2 17+  4
Curve Equation t Generators 113475k1 [1,0,0,-1864663,-980205808] 2 [70599:2925263:27] 113475k2 [1,0,0,-1853538,-992476683] 2 [9777:951924:1]
113475l (1 curve)	1	3- 5+ 17+ 89-	-1 3- 5+ -4  2  4 17+  6
Curve Equation t Generators 113475l1 [1,0,0,-1206263,-510153108] 1 [6493:511930:1]
113475m (1 curve)	1	3- 5+ 17+ 89-	-2 3- 5+  0  4  0 17+  2
Curve Equation t Generators 113475m1 [0,1,1,-8,-8356] 1 [24:76:1]
113475n (1 curve)	1	3- 5+ 17- 89+	0 3- 5+ -2 -2 -4 17- -2
Curve Equation t Generators 113475n1 [0,1,1,-783,-8776] 1 [74:586:1]
113475o (1 curve)	1	3- 5+ 17- 89+	-2 3- 5+  1  1  4 17- -2
Curve Equation t Generators 113475o1 [0,1,1,442,-20206] 1 [73:637:1]
113475p (2 curves)	0	3- 5+ 17- 89-	1 3- 5+  4  0 -4 17-  4
Curve Equation t 113475p1 [1,0,1,-1126,-1477] 2 113475p2 [1,0,1,-11751,487273] 2
113475q (1 curve)	0	3- 5+ 17- 89-	2 3- 5+  4 -1 -5 17-  1
Curve Equation t 113475q1 [0,1,1,-45258,-142178731] 1

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