Cremona's table of elliptic curves

25575 = 3 · 5² · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
25575a (2 curves)	1	3+ 5+ 11+ 31+	-1 3+ 5+  2 11+ -4  6  4
Curve Equation t Generators 25575a1 [1,1,1,687,-3594] 2 [30:197:1] 25575a2 [1,1,1,-3188,-34594] 2 [-30:202:1]
25575b (2 curves)	0	3+ 5+ 11+ 31-	0 3+ 5+  1 11+ -2  6  2
Curve Equation t 25575b1 [0,-1,1,617,2418] 1 25575b2 [0,-1,1,-6883,-261957] 1
25575c (2 curves)	0	3+ 5+ 11+ 31-	-1 3+ 5+  2 11+ -2 -4  8
Curve Equation t 25575c1 [1,1,1,-2088,-37344] 2 25575c2 [1,1,1,-713,-84094] 2
25575d (4 curves)	2	3+ 5+ 11- 31+	-1 3+ 5+  0 11- -6 -2  0
Curve Equation t Generators 25575d1 [1,1,1,-1563,-13344] 2 [-30:102:1]&[-10:42:1] 25575d2 [1,1,1,-11688,472656] 4 [-442:8029:8]&[0:687:1] 25575d3 [1,1,1,687,1437906] 2 [-80:977:1]&[40:1217:1] 25575d4 [1,1,1,-186063,30813906] 2 [250:-163:1]&[-370:7197:1]
25575e (2 curves)	1	3+ 5+ 11- 31-	1 3+ 5+  2 11-  4 -2  2
Curve Equation t Generators 25575e1 [1,1,0,-4125,99000] 2 [3358:66459:8] 25575e2 [1,1,0,-8000,-121875] 2 [-20:185:1]
25575f (1 curve)	1	3+ 5- 11+ 31-	-1 3+ 5-  3 11+  0 -3 -3
Curve Equation t Generators 25575f1 [1,1,1,-99138,-12073344] 1 [2633096:16337328:6859]
25575g (2 curves)	0	3+ 5- 11- 31-	2 3+ 5- -3 11- -4  2  0
Curve Equation t 25575g1 [0,-1,1,-2458,-6199557] 1 25575g2 [0,-1,1,-2056208,1270264193] 1
25575h (1 curve)	1	3- 5+ 11+ 31-	0 3- 5+ -3 11+  2 -2 -6
Curve Equation t Generators 25575h1 [0,1,1,-379533,89926094] 1 [438:-2813:1]
25575i (4 curves)	1	3- 5+ 11+ 31-	1 3- 5+  0 11+ -6  6  0
Curve Equation t Generators 25575i1 [1,0,1,-7751,291773] 2 [21:361:1] 25575i2 [1,0,1,-127876,17589773] 4 [1718:811:8] 25575i3 [1,0,1,-131751,16466023] 2 [-133:5691:1] 25575i4 [1,0,1,-2046001,1126266023] 2 [53748:18019:64]
25575j (1 curve)	1	3- 5+ 11+ 31-	1 3- 5+ -3 11+  0  3 -3
Curve Equation t Generators 25575j1 [1,0,1,-3966,-96587] 1 [8737599:89779448:59319]
25575k (6 curves)	1	3- 5+ 11- 31+	1 3- 5+  0 11-  2 -2 -4
Curve Equation t Generators 25575k1 [1,0,1,12374,444023] 2 [543:12664:1] 25575k2 [1,0,1,-65751,4037773] 4 [41:1167:1] 25575k3 [1,0,1,-443876,-110912227] 4 [1667:60666:1] 25575k4 [1,0,1,-937626,349300273] 2 [233:11862:1] 25575k5 [1,0,1,112999,-370415977] 2 [103124:3993999:64] 25575k6 [1,0,1,-7050751,-7206695977] 2 [-1533:841:1]
25575l (2 curves)	1	3- 5+ 11- 31+	-1 3- 5+  2 11-  4 -6  2
Curve Equation t Generators 25575l1 [1,0,0,-688,4367] 2 [247:3739:1] 25575l2 [1,0,0,-4563,-115758] 2 [-43:59:1]
25575m (2 curves)	1	3- 5+ 11- 31+	-1 3- 5+  2 11- -4  2  6
Curve Equation t Generators 25575m1 [1,0,0,-2513038,1486948067] 2 [1067:4004:1] 25575m2 [1,0,0,-6236913,-3946185558] 2 [2907:48459:1]
25575n (2 curves)	0	3- 5+ 11- 31-	1 3- 5+ -2 11- -6  0 -4
Curve Equation t 25575n1 [1,0,1,-4413776,-3569506927] 2 25575n2 [1,0,1,-4412401,-3571841677] 2
25575o (4 curves)	0	3- 5+ 11- 31-	1 3- 5+  4 11-  6  6 -4
Curve Equation t 25575o1 [1,0,1,15624,976273] 2 25575o2 [1,0,1,-104501,9865523] 4 25575o3 [1,0,1,-573376,-158929477] 2 25575o4 [1,0,1,-1557626,748053023] 2
25575p (2 curves)	1	3- 5- 11- 31-	-2 3- 5-  3 11-  4 -2  0
Curve Equation t Generators 25575p1 [0,1,1,-98,-49636] 1 [373:7207:1] 25575p2 [0,1,1,-82248,10129214] 5 [-2406:22271:8]

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