Cremona's table of elliptic curves

4275 = 3² · 5² · 19

Class	r	Atkin-Lehner	Eigenvalues
4275a (2 curves)	1	3+ 5- 19-	1 3+ 5-  2 -2 -2  2 19-
Curve Equation t Generators 4275a1 [1,-1,0,-2367,45416] 2 [20:66:1] 4275a2 [1,-1,0,-37992,2859791] 2 [910:-313:8]
4275b (2 curves)	1	3+ 5- 19-	1 3+ 5- -2  2  2  2 19-
Curve Equation t Generators 4275b1 [1,-1,0,-852,-9469] 2 [2702:48059:8] 4275b2 [1,-1,0,-13677,-612244] 2 [74778:1259593:216]
4275c (2 curves)	1	3+ 5- 19-	-1 3+ 5-  2  2 -2 -2 19-
Curve Equation t Generators 4275c1 [1,-1,1,-21305,-1204928] 2 [2468:121135:1] 4275c2 [1,-1,1,-341930,-76872428] 2 [3322033:159236060:1331]
4275d (2 curves)	1	3+ 5- 19-	-1 3+ 5- -2 -2  2 -2 19-
Curve Equation t Generators 4275d1 [1,-1,1,-95,382] 2 [4:5:1] 4275d2 [1,-1,1,-1520,23182] 2 [19:20:1]
4275e (4 curves)	0	3- 5+ 19+	1 3- 5+  0  0 -6 -6 19+
Curve Equation t 4275e1 [1,-1,0,-342,2191] 2 4275e2 [1,-1,0,-1467,-19184] 4 4275e3 [1,-1,0,-22842,-1323059] 2 4275e4 [1,-1,0,1908,-96809] 2
4275f (2 curves)	0	3- 5+ 19+	1 3- 5+  2  2  4  2 19+
Curve Equation t 4275f1 [1,-1,0,333,59616] 2 4275f2 [1,-1,0,-21042,1149741] 2
4275g (4 curves)	0	3- 5+ 19+	1 3- 5+ -4 -4 -2  2 19+
Curve Equation t 4275g1 [1,-1,0,5058,624591] 2 4275g2 [1,-1,0,-86067,9099216] 4 4275g3 [1,-1,0,-278442,-45727659] 2 4275g4 [1,-1,0,-1351692,605208591] 2
4275h (1 curve)	0	3- 5+ 19+	-1 3- 5+  0 -5 -4 -4 19+
Curve Equation t 4275h1 [1,-1,1,103945,-9015928] 1
4275i (2 curves)	0	3- 5+ 19+	-2 3- 5+ -3  3  6  3 19+
Curve Equation t 4275i1 [0,0,1,4425,129406] 1 4275i2 [0,0,1,-987825,377893156] 1
4275j (1 curve)	0	3- 5+ 19+	-2 3- 5+  5 -1 -2 -1 19+
Curve Equation t 4275j1 [0,0,1,-525,-5094] 1
4275k (3 curves)	1	3- 5+ 19-	0 3- 5+  1 -3  4 -3 19-
Curve Equation t Generators 4275k1 [0,0,1,150,31] 1 [1:13:1] 4275k2 [0,0,1,-2100,39406] 1 [34:85:1] 4275k3 [0,0,1,-173100,27720031] 1 [1922:5:8]
4275l (2 curves)	1	3- 5+ 19-	-1 3- 5+  2  6  0 -6 19-
Curve Equation t Generators 4275l1 [1,-1,1,4270,4272] 2 [18:285:1] 4275l2 [1,-1,1,-17105,47022] 2 [-16:570:1]
4275m (1 curve)	1	3- 5+ 19-	-1 3- 5+ -4 -3  0  0 19-
Curve Equation t Generators 4275m1 [1,-1,1,-140,672] 1 [8:-9:1]
4275n (1 curve)	1	3- 5- 19+	1 3- 5-  0 -5  4  4 19+
Curve Equation t Generators 4275n1 [1,-1,0,4158,-72959] 1 [104:1163:1]
4275o (2 curves)	0	3- 5- 19-	1 3- 5-  2  4 -2 -4 19-
Curve Equation t 4275o1 [1,-1,0,3,-64] 2 4275o2 [1,-1,0,-222,-1189] 2
4275p (1 curve)	0	3- 5- 19-	1 3- 5-  4 -3  0  0 19-
Curve Equation t 4275p1 [1,-1,0,-3492,80541] 1
4275q (2 curves)	0	3- 5- 19-	-1 3- 5- -2  4  2  4 19-
Curve Equation t 4275q1 [1,-1,1,70,-7928] 2 4275q2 [1,-1,1,-5555,-154178] 2

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