Cremona's table of elliptic curves

20825 = 5² · 7² · 17

Class	r	Atkin-Lehner	Eigenvalues
20825a (2 curves)	1	5+ 7+ 17+	0 -1 5+ 7+ -6  4 17+ -4
Curve Equation t Generators 20825a1 [0,-1,1,-4539033,3723226968] 1 [1162:4062:1] 20825a2 [0,-1,1,-10370033,-7548824907] 1 [-67200917:241198743:24389]
20825b (1 curve)	1	5+ 7+ 17+	1  1 5+ 7+ -2  4 17+  2
Curve Equation t Generators 20825b1 [1,0,1,-815876,283914523] 1 [337:6706:1]
20825c (1 curve)	0	5+ 7+ 17-	1  1 5+ 7+ -3 -1 17-  6
Curve Equation t 20825c1 [1,0,1,-26,6073] 1
20825d (1 curve)	0	5+ 7+ 17-	-1  1 5+ 7+  5 -2 17- -4
Curve Equation t 20825d1 [1,0,0,8182,-625843] 1
20825e (1 curve)	0	5+ 7+ 17-	-1 -1 5+ 7+  3  6 17- -8
Curve Equation t 20825e1 [1,1,1,-31263,-2609594] 1
20825f (1 curve)	0	5+ 7+ 17-	2  1 5+ 7+ -4  4 17- -4
Curve Equation t 20825f1 [0,1,1,-408,-1781] 1
20825g (1 curve)	0	5+ 7- 17+	1 -1 5+ 7- -3  1 17+ -6
Curve Equation t 20825g1 [1,1,0,-1250,-2084375] 1
20825h (2 curves)	0	5+ 7- 17+	-1  0 5+ 7- -2 -6 17+  0
Curve Equation t 20825h1 [1,-1,1,520395,-302065228] 2 20825h2 [1,-1,1,-4838980,-3517690228] 2
20825i (1 curve)	0	5+ 7- 17+	-1  1 5+ 7-  3 -6 17+  8
Curve Equation t 20825i1 [1,0,0,-638,7517] 1
20825j (1 curve)	0	5+ 7- 17+	-1 -1 5+ 7-  5  2 17+  4
Curve Equation t 20825j1 [1,1,1,167,1896] 1
20825k (1 curve)	0	5+ 7- 17+	2  0 5+ 7- -2 -3 17+  0
Curve Equation t 20825k1 [0,0,1,175,87281] 1
20825l (1 curve)	0	5+ 7- 17+	2 -1 5+ 7- -4 -4 17+  4
Curve Equation t 20825l1 [0,-1,1,-20008,570793] 1
20825m (1 curve)	0	5+ 7- 17+	-2  2 5+ 7-  6  1 17+  6
Curve Equation t 20825m1 [0,-1,1,531242,404741168] 1
20825n (2 curves)	1	5+ 7- 17-	0  1 5+ 7- -6 -4 17-  4
Curve Equation t Generators 20825n1 [0,1,1,-92633,-10881356] 1 [-4794:199:27] 20825n2 [0,1,1,-211633,21947769] 1 [-13299:71074:27]
20825o (4 curves)	1	5+ 7- 17-	1  0 5+ 7-  0 -2 17-  4
Curve Equation t Generators 20825o1 [1,-1,0,-842,-3809] 2 [4098:47351:27] 20825o2 [1,-1,0,-6967,222816] 4 [604:14398:1] 20825o3 [1,-1,0,-111092,14279691] 2 [5070:110067:8] 20825o4 [1,-1,0,-842,596441] 2 [104:1223:1]
20825p (1 curve)	1	5+ 7- 17-	1 -1 5+ 7- -2 -4 17- -2
Curve Equation t Generators 20825p1 [1,1,0,-16650,-834875] 1 [276:3823:1]
20825q (2 curves)	1	5+ 7- 17-	-1  0 5+ 7- -2  6 17-  0
Curve Equation t Generators 20825q1 [1,-1,1,10620,877622] 2 [254:4335:1] 20825q2 [1,-1,1,-98755,10283872] 2 [314:3030:1]
20825r (1 curve)	1	5+ 7- 17-	-1 -1 5+ 7- -4 -1 17-  6
Curve Equation t Generators 20825r1 [1,1,1,-148,-834] 1 [14:2:1]
20825s (2 curves)	1	5+ 7- 17-	-1  2 5+ 7-  2  2 17-  0
Curve Equation t Generators 20825s1 [1,1,1,-10438,403906] 2 [3360:25994:27] 20825s2 [1,1,1,-4313,881656] 2 [440:8967:1]
20825t (1 curve)	1	5+ 7- 17-	2  0 5+ 7- -2  3 17-  0
Curve Equation t Generators 20825t1 [0,0,1,8575,-29937469] 1 [182280:2186369:512]
20825u (1 curve)	1	5+ 7- 17-	2  2 5+ 7-  2 -1 17- -6
Curve Equation t Generators 20825u1 [0,-1,1,-12245508,-16526124707] 1 [33709792896109953408382280772776:1490711223660920779354473724536691:6690858326421450038475770368]
20825v (1 curve)	1	5+ 7- 17-	-2  2 5+ 7- -2 -1 17- -2
Curve Equation t Generators 20825v1 [0,-1,1,-408,-50282] 1 [152:1837:1]
20825w (1 curve)	0	5- 7+ 17+	0 -1 5- 7+  4 -6 17+ -4
Curve Equation t 20825w1 [0,-1,1,-28583,-1727307] 1
20825x (1 curve)	0	5- 7+ 17+	1  1 5- 7+  3 -6 17+ -8
Curve Equation t 20825x1 [1,0,1,-1251,-20877] 1
20825y (1 curve)	0	5- 7+ 17+	1 -1 5- 7+  5  2 17+ -4
Curve Equation t 20825y1 [1,1,0,204550,-78230375] 1
20825z (1 curve)	1	5- 7+ 17-	0  1 5- 7+  4  6 17- -4
Curve Equation t Generators 20825z1 [0,1,1,-1143,-14276] 1 [-166:241:8]
20825ba (1 curve)	1	5- 7- 17+	0 -1 5- 7-  4 -6 17+  4
Curve Equation t Generators 20825ba1 [0,-1,1,-23,48] 1 [2:2:1]
20825bb (1 curve)	1	5- 7- 17+	1  1 5- 7- -4  1 17+  6
Curve Equation t Generators 20825bb1 [1,0,1,-3701,-96827] 1 [5343123354455:13102487316593:71215348625]
20825bc (1 curve)	0	5- 7- 17-	0  1 5- 7-  4  6 17-  4
Curve Equation t 20825bc1 [0,1,1,-583,4869] 1
20825bd (1 curve)	0	5- 7- 17-	1  1 5- 7-  5 -2 17-  4
Curve Equation t 20825bd1 [1,0,1,4174,228673] 1
20825be (1 curve)	0	5- 7- 17-	1 -1 5- 7-  3  6 17-  8
Curve Equation t 20825be1 [1,1,0,-25,50] 1

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