Cremona's table of elliptic curves

10575 = 3² · 5² · 47

Class	r	Atkin-Lehner	Eigenvalues
10575a (2 curves)	1	3+ 5+ 47+	1 3+ 5+ -4  0  0 -6  8
Curve Equation t Generators 10575a1 [1,-1,0,-8817,548216] 2 [824:23088:1] 10575a2 [1,-1,0,-167442,26404091] 2 [6862:177819:8]
10575b (1 curve)	1	3+ 5+ 47+	-2 3+ 5+ -1 -3  0  0 -4
Curve Equation t Generators 10575b1 [0,0,1,-2025,-34594] 1 [-24:13:1]
10575c (2 curves)	0	3+ 5+ 47-	-1 3+ 5+ -4  0  0  6  8
Curve Equation t 10575c1 [1,-1,1,-980,-19978] 2 10575c2 [1,-1,1,-18605,-971728] 2
10575d (1 curve)	0	3+ 5+ 47-	2 3+ 5+ -1  3  0  0 -4
Curve Equation t 10575d1 [0,0,1,-225,1281] 1
10575e (1 curve)	0	3- 5+ 47+	0 3- 5+ -2 -2 -1 -2 -6
Curve Equation t 10575e1 [0,0,1,-1300800,-587031219] 1
10575f (2 curves)	0	3- 5+ 47+	0 3- 5+ -2  6 -5  6  2
Curve Equation t 10575f1 [0,0,1,1950,-58469] 1 10575f2 [0,0,1,-18300,1996906] 1
10575g (1 curve)	0	3- 5+ 47+	0 3- 5+  3  3  4  8 -6
Curve Equation t 10575g1 [0,0,1,-300,531] 1
10575h (4 curves)	0	3- 5+ 47+	-1 3- 5+  0 -4  2  2  0
Curve Equation t 10575h1 [1,-1,1,-455,-10578] 2 10575h2 [1,-1,1,-10580,-415578] 4 10575h3 [1,-1,1,-169205,-26747328] 2 10575h4 [1,-1,1,-13955,-125328] 2
10575i (1 curve)	0	3- 5+ 47+	2 3- 5+  3 -1  2  2  6
Curve Equation t 10575i1 [0,0,1,-5925,175531] 1
10575j (4 curves)	1	3- 5+ 47-	1 3- 5+  0 -4 -2  6  0
Curve Equation t Generators 10575j1 [1,-1,0,-82692,-9131909] 2 [39915675130:-1482580042301:28372625] 10575j2 [1,-1,0,-83817,-8869784] 4 [697420:51670138:125] 10575j3 [1,-1,0,-242442,34752091] 2 [1222:8389:8] 10575j4 [1,-1,0,56808,-35729159] 2 [22304:3319973:1]
10575k (1 curve)	1	3- 5+ 47-	1 3- 5+  3  2  1  3 -3
Curve Equation t Generators 10575k1 [1,-1,0,1458,-2759] 1 [104:1073:1]
10575l (1 curve)	1	3- 5+ 47-	-1 3- 5+ -1  2  7  1 -1
Curve Equation t Generators 10575l1 [1,-1,1,-8105,-281478] 1 [134:945:1]
10575m (1 curve)	1	3- 5+ 47-	-1 3- 5+ -1  3  3 -6 -7
Curve Equation t Generators 10575m1 [1,-1,1,-1130,-7378] 1 [-26:75:1]
10575n (1 curve)	1	3- 5+ 47-	-1 3- 5+ -1 -3 -3  6 -1
Curve Equation t Generators 10575n1 [1,-1,1,-798980,275080772] 1 [514:-195:1]
10575o (2 curves)	1	3- 5+ 47-	-1 3- 5+ -4  0 -6 -6  2
Curve Equation t Generators 10575o1 [1,-1,1,-1805,42572] 2 [24:100:1] 10575o2 [1,-1,1,-32180,2229572] 2 [84:295:1]
10575p (1 curve)	1	3- 5+ 47-	-1 3- 5+  5 -6 -3 -3 -1
Curve Equation t Generators 10575p1 [1,-1,1,-27005,-142864378] 1 [954:25960:1]
10575q (1 curve)	1	3- 5+ 47-	2 3- 5+ -1 -4  1  4  5
Curve Equation t Generators 10575q1 [0,0,1,105,-329] 1 [98:419:8]
10575r (1 curve)	1	3- 5+ 47-	2 3- 5+  2  0 -3  0 -4
Curve Equation t Generators 10575r1 [0,0,1,825,-8469] 1 [82:257:8]
10575s (1 curve)	1	3- 5+ 47-	-2 3- 5+  3  5 -2 -6 -6
Curve Equation t Generators 10575s1 [0,0,1,-2775,-21344] 1 [-14:121:1]
10575t (1 curve)	1	3- 5- 47+	-2 3- 5-  1 -4 -1 -4  5
Curve Equation t Generators 10575t1 [0,0,1,2625,-41094] 1 [26:211:1]
10575u (1 curve)	1	3- 5- 47+	-2 3- 5-  4  0  5 -6 -2
Curve Equation t Generators 10575u1 [0,0,1,-4125,-108594] 1 [75:62:1]
10575v (1 curve)	0	3- 5- 47-	2 3- 5- -4  0 -5  6 -2
Curve Equation t 10575v1 [0,0,1,-165,-869] 1

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