Cremona's table of elliptic curves

45825 = 3 · 5² · 13 · 47

Class	r	Atkin-Lehner	Eigenvalues
45825a (1 curve)	1	3+ 5+ 13+ 47+	0 3+ 5+  3  5 13+ -5  6
Curve Equation t Generators 45825a1 [0,-1,1,3717,-47407] 1 [61:634:1]
45825b (1 curve)	1	3+ 5+ 13+ 47+	-1 3+ 5+ -3  1 13+  0  6
Curve Equation t Generators 45825b1 [1,1,1,-763,-9094] 1 [40:142:1]
45825c (4 curves)	1	3+ 5+ 13+ 47+	-1 3+ 5+ -4  4 13+ -6 -8
Curve Equation t Generators 45825c1 [1,1,1,-4713,-96594] 2 [-30:152:1] 45825c2 [1,1,1,-25838,1508906] 4 [-60:1717:1] 45825c3 [1,1,1,18037,6159656] 2 [5:2497:1] 45825c4 [1,1,1,-407713,100032656] 2 [375:37:1]
45825d (1 curve)	0	3+ 5+ 13+ 47-	0 3+ 5+ -1 -3 13+  3 -2
Curve Equation t 45825d1 [0,-1,1,-23533,-1382157] 1
45825e (1 curve)	0	3+ 5+ 13+ 47-	-1 3+ 5+ -1  5 13+ -6 -8
Curve Equation t 45825e1 [1,1,1,19987,-15844] 1
45825f (2 curves)	0	3+ 5+ 13+ 47-	-1 3+ 5+ -4 -4 13+  0  4
Curve Equation t 45825f1 [1,1,1,-313,-79594] 2 45825f2 [1,1,1,-29688,-1959594] 2
45825g (1 curve)	2	3+ 5- 13+ 47+	-2 3+ 5- -1  3 13+ -3 -8
Curve Equation t Generators 45825g1 [0,-1,1,-5708,-303682] 1 [217:-2938:1]&[123:916:1]
45825h (2 curves)	1	3+ 5- 13- 47+	1 3+ 5-  0  0 13- -4  4
Curve Equation t Generators 45825h1 [1,1,0,-90,-225] 2 [-6:15:1] 45825h2 [1,1,0,-1265,-17850] 2 [350:735:8]
45825i (2 curves)	0	3+ 5- 13- 47-	-1 3+ 5-  4  0 13-  6  6
Curve Equation t 45825i1 [1,1,1,-908,-4444] 2 45825i2 [1,1,1,3317,-29794] 2
45825j (1 curve)	0	3- 5+ 13+ 47+	2 3- 5+  1  1 13+ -2 -6
Curve Equation t 45825j1 [0,1,1,-80408,8740469] 1
45825k (1 curve)	1	3- 5+ 13+ 47-	-1 3- 5+ -5 -5 13+  4 -6
Curve Equation t Generators 45825k1 [1,0,0,6187,268242] 1 [127:-1826:1]
45825l (1 curve)	1	3- 5+ 13- 47+	1 3- 5+  1  5 13- -4  2
Curve Equation t Generators 45825l1 [1,0,1,-4710076,3934112423] 1 [1237:356:1]
45825m (1 curve)	1	3- 5+ 13- 47+	-2 3- 5+  1  5 13-  2  2
Curve Equation t Generators 45825m1 [0,1,1,-858,-9556] 1 [-18:19:1]
45825n (2 curves)	1	3- 5- 13+ 47+	1 3- 5- -4  0 13+ -6  6
Curve Equation t Generators 45825n1 [1,0,1,-22701,-510077] 2 [-434:6213:8] 45825n2 [1,0,1,82924,-3890077] 2 [81:1792:1]
45825o (2 curves)	0	3- 5- 13+ 47-	-1 3- 5-  0  0 13+  4  4
Curve Equation t 45825o1 [1,0,0,-2263,-23608] 2 45825o2 [1,0,0,-31638,-2167983] 2
45825p (1 curve)	0	3- 5- 13- 47+	1 3- 5-  1  5 13-  6 -8
Curve Equation t 45825p1 [1,0,1,799,-127] 1
45825q (1 curve)	1	3- 5- 13- 47-	2 3- 5-  1  3 13-  3 -8
Curve Equation t Generators 45825q1 [0,1,1,-228,-2521] 1 [154:191:8]

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

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