Cremona's table of elliptic curves

109275 = 3 · 5² · 31 · 47

Class	r	Atkin-Lehner	Eigenvalues
109275a (1 curve)	1	3+ 5+ 31+ 47+	1 3+ 5+  1 -4  7  3 -1
Curve Equation t Generators 109275a1 [1,1,0,2201625,646481250] 1 [-411190:33373270:2197]
109275b (1 curve)	1	3+ 5+ 31+ 47+	-1 3+ 5+ -3 -2  4  6  3
Curve Equation t Generators 109275b1 [1,1,1,-144813,-21283344] 1 [7315:621167:1]
109275c (1 curve)	0	3+ 5+ 31+ 47-	0 3+ 5+ -5  0 -1 -6  0
Curve Equation t 109275c1 [0,-1,1,-59033,-5501032] 1
109275d (1 curve)	0	3+ 5+ 31+ 47-	1 3+ 5+ -5  2  1  3 -7
Curve Equation t 109275d1 [1,1,0,-310197500,2105725078125] 1
109275e (1 curve)	0	3+ 5+ 31+ 47-	2 3+ 5+  0  5 -4 -3 -3
Curve Equation t 109275e1 [0,-1,1,-188,-877] 1
109275f (2 curves)	0	3+ 5- 31+ 47+	1 3+ 5- -4 -4  2 -2  4
Curve Equation t 109275f1 [1,1,0,5550,-56625] 2 109275f2 [1,1,0,-23825,-497250] 2
109275g (1 curve)	1	3+ 5- 31+ 47-	0 3+ 5-  0  5 -6 -1  5
Curve Equation t Generators 109275g1 [0,-1,1,-45783,-1063807] 1 [-1334:11041:8]
109275h (2 curves)	1	3+ 5- 31+ 47-	1 3+ 5-  0 -4  2 -8 -4
Curve Equation t Generators 109275h1 [1,1,0,-7140,-235125] 2 [-202096:140035:4096] 109275h2 [1,1,0,-8315,-154050] 2 [-202:1713:8]
109275i (1 curve)	1	3+ 5- 31+ 47-	1 3+ 5- -3  2 -1 -5 -1
Curve Equation t Generators 109275i1 [1,1,0,-225470450,1303020509625] 1 [105474320:-52741035:12167]
109275j (1 curve)	0	3- 5+ 31+ 47+	0 3- 5+  0  5  6  1  5
Curve Equation t 109275j1 [0,1,1,-1144583,-135265006] 1
109275k (1 curve)	1	3- 5+ 31+ 47-	0 3- 5+  4 -4  1  4  0
Curve Equation t Generators 109275k1 [0,1,1,-2883,221519] 1 [113:1162:1]
109275l (1 curve)	1	3- 5+ 31- 47+	0 3- 5+  3 -1  0  0  2
Curve Equation t Generators 109275l1 [0,1,1,-11383,415894] 1 [44:46:1]
109275m (1 curve)	0	3- 5+ 31- 47-	0 3- 5+  3  4 -3  6  8
Curve Equation t 109275m1 [0,1,1,-8137283,-27405640156] 1
109275n (1 curve)	0	3- 5+ 31- 47-	1 3- 5+  1  6 -5  3  1
Curve Equation t 109275n1 [1,0,1,599599,844543073] 1
109275o (2 curves)	1	3- 5- 31+ 47+	-1 3- 5-  0 -4 -2  8 -4
Curve Equation t Generators 109275o1 [1,0,0,-178513,-29033608] 2 [-244:230:1] 109275o2 [1,0,0,-207888,-18840483] 2 [-348:3549:1]
109275p (1 curve)	1	3- 5- 31+ 47+	-1 3- 5-  3  2  1  5 -1
Curve Equation t Generators 109275p1 [1,0,0,-9018818,10424164077] 1 [1737:-636:1]
109275q (1 curve)	1	3- 5- 31+ 47+	-2 3- 5-  0  5  4  3 -3
Curve Equation t Generators 109275q1 [0,1,1,-4708,-119006] 1 [158:-1763:1]
109275r (2 curves)	0	3- 5- 31+ 47-	-1 3- 5-  4 -4 -2  2  4
Curve Equation t 109275r1 [1,0,0,222,-453] 2 109275r2 [1,0,0,-953,-3978] 2

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

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