Cremona's table of elliptic curves

65025 = 3² · 5² · 17²

Class	r	Atkin-Lehner	Eigenvalues
65025a (2 curves)	1	3+ 5+ 17+	0 3+ 5+ -1  0 -2 17+  8
Curve Equation t Generators 65025a1 [0,0,1,0,21] 1 [-1:4:1] 65025a2 [0,0,1,0,-574] 1 [84:769:1]
65025b (2 curves)	1	3+ 5+ 17+	0 3+ 5+ -4  0  7 17+ -7
Curve Equation t Generators 65025b1 [0,0,1,0,1774821] 1 [149:2254:1] 65025b2 [0,0,1,0,-47920174] 1 [1550677866:24551251070:3307949]
65025c (2 curves)	1	3+ 5+ 17+	0 3+ 5+  5  0 -5 17+ -1
Curve Equation t Generators 65025c1 [0,0,1,0,6141] 1 [119:1300:1] 65025c2 [0,0,1,0,-165814] 1 [41412:432895:343]
65025d (1 curve)	1	3+ 5+ 17+	1 3+ 5+  1  2  7 17+ -3
Curve Equation t Generators 65025d1 [1,-1,0,15268683,15542507716] 1 [10774963871304716783332:3225791344461451710186184:21088102100131591433]
65025e (1 curve)	1	3+ 5+ 17+	1 3+ 5+  1 -6 -1 17+  5
Curve Equation t Generators 65025e1 [1,-1,0,-717,16316] 1 [124:1288:1]
65025f (2 curves)	1	3+ 5+ 17+	1 3+ 5+  4  2 -2 17+  0
Curve Equation t Generators 65025f1 [1,-1,0,-120567,-17107784] 2 [667084:8904358:1331] 65025f2 [1,-1,0,-1962942,-1058049659] 2 [125417926788:-7770555931769:29218112]
65025g (1 curve)	1	3+ 5+ 17+	1 3+ 5+  4 -4  1 17+  0
Curve Equation t Generators 65025g1 [1,-1,0,-1992,32041] 1 [0:179:1]
65025h (1 curve)	1	3+ 5+ 17+	-1 3+ 5+  1 -2  7 17+ -3
Curve Equation t Generators 65025h1 [1,-1,1,137418145,-419785126478] 1 [96752885859257156348:7321556598880503775210:29760162546344957]
65025i (1 curve)	1	3+ 5+ 17+	-1 3+ 5+  1  6 -1 17+  5
Curve Equation t Generators 65025i1 [1,-1,1,-80,-578] 1 [34:170:1]
65025j (2 curves)	1	3+ 5+ 17+	-1 3+ 5+  4 -2 -2 17+  0
Curve Equation t Generators 65025j1 [1,-1,1,-1085105,462995272] 2 [9786:287417:27] 65025j2 [1,-1,1,-17666480,28585007272] 2 [1390:81236:1]
65025k (1 curve)	1	3+ 5+ 17+	-1 3+ 5+  4  4  1 17+  0
Curve Equation t Generators 65025k1 [1,-1,1,-17930,-847178] 1 [2605:131456:1]
65025l (1 curve)	1	3+ 5+ 17+	2 3+ 5+ -2  3  5 17+ -1
Curve Equation t Generators 65025l1 [0,0,1,-21675,1381781] 1 [882:4607:8]
65025m (1 curve)	1	3+ 5+ 17+	-2 3+ 5+ -2 -3  5 17+ -1
Curve Equation t Generators 65025m1 [0,0,1,-195075,-37308094] 1 [544:4190:1]
65025n (2 curves)	0	3+ 5+ 17-	0 3+ 5+  1  0 -2 17-  8
Curve Equation t 65025n1 [0,0,1,0,104401] 1 65025n2 [0,0,1,0,-2818834] 1
65025o (2 curves)	0	3+ 5+ 17-	0 3+ 5+  4  0  7 17- -7
Curve Equation t 65025o1 [0,0,1,0,361] 1 65025o2 [0,0,1,0,-9754] 1
65025p (1 curve)	0	3+ 5+ 17-	1 3+ 5+ -1 -2  7 17- -3
Curve Equation t 65025p1 [1,-1,0,52833,3151116] 1
65025q (1 curve)	0	3+ 5+ 17-	1 3+ 5+ -1  6 -1 17-  5
Curve Equation t 65025q1 [1,-1,0,-207267,79331516] 1
65025r (1 curve)	0	3+ 5+ 17-	1 3+ 5+ -4  4  1 17-  0
Curve Equation t 65025r1 [1,-1,0,-575742,155114541] 1
65025s (1 curve)	0	3+ 5+ 17-	-1 3+ 5+ -1  2  7 17- -3
Curve Equation t 65025s1 [1,-1,1,475495,-85555628] 1
65025t (1 curve)	0	3+ 5+ 17-	-1 3+ 5+ -1 -6 -1 17-  5
Curve Equation t 65025t1 [1,-1,1,-23030,-2930528] 1
65025u (1 curve)	0	3+ 5+ 17-	-1 3+ 5+ -4 -4  1 17-  0
Curve Equation t 65025u1 [1,-1,1,-5181680,-4182910928] 1
65025v (2 curves)	0	3+ 5- 17+	0 3+ 5-  1  0  2 17+  8
Curve Equation t 65025v1 [0,0,1,0,2656] 1 65025v2 [0,0,1,0,-71719] 1
65025w (2 curves)	0	3+ 5- 17+	0 3+ 5-  4  0 -7 17+ -7
Curve Equation t 65025w1 [0,0,1,0,221852656] 1 65025w2 [0,0,1,0,-5990021719] 1
65025x (2 curves)	0	3+ 5- 17+	0 3+ 5- -5  0  5 17+ -1
Curve Equation t 65025x1 [0,0,1,0,767656] 1 65025x2 [0,0,1,0,-20726719] 1
65025y (1 curve)	0	3+ 5- 17+	1 3+ 5- -4  4 -1 17+  0
Curve Equation t 65025y1 [1,-1,0,-717,-6634] 1
65025z (1 curve)	2	3+ 5- 17+	-1 3+ 5- -4 -4 -1 17+  0
Curve Equation t Generators 65025z1 [1,-1,1,-80,272] 1 [-6:25:1]&[-2:21:1]
65025ba (2 curves)	1	3+ 5- 17-	0 3+ 5- -1  0  2 17-  8
Curve Equation t Generators 65025ba1 [0,0,1,0,13050156] 3 [1664200:94897469:512] 65025ba2 [0,0,1,0,-352354219] 1 [960266434728005832:54507824424302706877:294982686802432]
65025bb (2 curves)	1	3+ 5- 17-	0 3+ 5- -4  0 -7 17- -7
Curve Equation t Generators 65025bb1 [0,0,1,0,45156] 3 [-34:76:1] 65025bb2 [0,0,1,0,-1219219] 1 [978:6233:8]
65025bc (1 curve)	1	3+ 5- 17-	1 3+ 5-  4 -4 -1 17-  0
Curve Equation t Generators 65025bc1 [1,-1,0,-207267,-33421834] 1 [6062:121979:8]
65025bd (1 curve)	1	3+ 5- 17-	-1 3+ 5-  4  4 -1 17-  0
Curve Equation t Generators 65025bd1 [1,-1,1,-23030,1245522] 1 [-72:1625:1]
65025be (1 curve)	0	3- 5+ 17+	0 3- 5+ -1  2 -1 17+ -1
Curve Equation t 65025be1 [0,0,1,1083750,-395342969] 1
65025bf (2 curves)	2	3- 5+ 17+	0 3- 5+  2 -3 -2 17+ -7
Curve Equation t Generators 65025bf1 [0,0,1,-2550,38781] 1 [370:1121:8]&[-19:283:1] 65025bf2 [0,0,1,-193800,32838156] 1 [-2990:58271:8]&[240:387:1]
65025bg (2 curves)	0	3- 5+ 17+	0 3- 5+  2 -3  4 17+  5
Curve Equation t 65025bg1 [0,0,1,-288147450,-114964046469] 1 65025bg2 [0,0,1,-15509849700,743457580014906] 1
65025bh (1 curve)	0	3- 5+ 17+	0 3- 5+  2  5 -4 17+  5
Curve Equation t 65025bh1 [0,0,1,-10200,-392594] 1
65025bi (2 curves)	2	3- 5+ 17+	0 3- 5+ -4 -3  1 17+ -1
Curve Equation t Generators 65025bi1 [0,0,1,43350,16734906] 1 [-1598:2597:8]&[-34:3901:1] 65025bi2 [0,0,1,-3858150,2918475531] 1 [731:-22109:1]&[389:38425:1]
65025bj (1 curve)	0	3- 5+ 17+	1 3- 5+  1 -4  1 17+ -6
Curve Equation t 65025bj1 [1,-1,0,-7857,-296654] 1
65025bk (2 curves)	0	3- 5+ 17+	1 3- 5+ -2  2 -2 17+  0
Curve Equation t 65025bk1 [1,-1,0,-554067,158026216] 2 65025bk2 [1,-1,0,-228942,341721841] 2
65025bl (1 curve)	0	3- 5+ 17+	1 3- 5+ -2 -4  1 17+  0
Curve Equation t 65025bl1 [1,-1,0,-2270727,-245466914] 1
65025bm (1 curve)	0	3- 5+ 17+	1 3- 5+ -5  2 -2 17+  6
Curve Equation t 65025bm1 [1,-1,0,558,-3659] 1
65025bn (8 curves)	0	3- 5+ 17+	-1 3- 5+  0 -4  2 17+  4
Curve Equation t 65025bn1 [1,-1,1,-1355,-3089478] 2 65025bn2 [1,-1,1,-326480,-70715478] 4 65025bn3 [1,-1,1,-651605,93797772] 4 65025bn4 [1,-1,1,-5203355,-4567194228] 2 65025bn5 [1,-1,1,2274520,702431772] 2 65025bn6 [1,-1,1,-8779730,10010110272] 4 65025bn7 [1,-1,1,-7154105,13830329022] 2 65025bn8 [1,-1,1,-140455355,640736354022] 2
65025bo (4 curves)	0	3- 5+ 17+	-1 3- 5+  4  0  2 17+ -4
Curve Equation t 65025bo1 [1,-1,1,-44705,-1543328] 2 65025bo2 [1,-1,1,-369830,85590172] 4 65025bo3 [1,-1,1,-44705,230595922] 2 65025bo4 [1,-1,1,-5896955,5513226922] 2
65025bp (2 curves)	0	3- 5+ 17+	-1 3- 5+  4 -4 -2 17+  4
Curve Equation t 65025bp1 [1,-1,1,-5180,-99178] 2 65025bp2 [1,-1,1,13945,-672928] 2
65025bq (2 curves)	0	3- 5+ 17+	-1 3- 5+ -4  4 -2 17+  4
Curve Equation t 65025bq1 [1,-1,1,-1496930,-493247928] 2 65025bq2 [1,-1,1,4030195,-3289973178] 2
65025br (2 curves)	0	3- 5+ 17+	2 3- 5+  2 -5  1 17+ -5
Curve Equation t 65025br1 [0,0,1,1275,9031] 1 65025br2 [0,0,1,-189975,31871281] 1
65025bs (2 curves)	0	3- 5+ 17+	2 3- 5+ -2  5  1 17+ -5
Curve Equation t 65025bs1 [0,0,1,368475,44370531] 1 65025bs2 [0,0,1,-54902775,156583604781] 1
65025bt (2 curves)	0	3- 5+ 17+	2 3- 5+ -3  2 -1 17+ -5
Curve Equation t 65025bt1 [0,0,1,4335,-485159] 1 65025bt2 [0,0,1,-541875,157369531] 1
65025bu (1 curve)	0	3- 5+ 17+	-2 3- 5+  1  2  7 17+  3
Curve Equation t 65025bu1 [0,0,1,-281775,74904826] 1
65025bv (1 curve)	0	3- 5+ 17+	-2 3- 5+  4 -1  4 17+ -3
Curve Equation t 65025bv1 [0,0,1,-144075,3011656] 1
65025bw (2 curves)	1	3- 5+ 17-	0 3- 5+ -2  3 -2 17- -7
Curve Equation t Generators 65025bw1 [0,0,1,-736950,190532281] 1 [289:1300:1] 65025bw2 [0,0,1,-56008200,161333861656] 1 [34562:275:8]
65025bx (2 curves)	1	3- 5+ 17-	0 3- 5+ -2  3  4 17-  5
Curve Equation t Generators 65025bx1 [0,0,1,-997050,-23399969] 1 [-935:9562:1] 65025bx2 [0,0,1,-53667300,151324563406] 1 [-39070:4359371:8]
65025by (1 curve)	1	3- 5+ 17-	0 3- 5+ -2 -5 -4 17-  5
Curve Equation t Generators 65025by1 [0,0,1,-2947800,-1928813094] 1 [-910:337:1]
65025bz (1 curve)	1	3- 5+ 17-	1 3- 5+  2  4  1 17-  0
Curve Equation t Generators 65025bz1 [1,-1,0,-7857,-48114] 1 [5940:5049:64]
65025ca (1 curve)	1	3- 5+ 17-	1 3- 5+  5 -2 -2 17-  6
Curve Equation t Generators 65025ca1 [1,-1,0,161208,-17331759] 1 [173798392:4019620979:912673]
65025cb (1 curve)	1	3- 5+ 17-	-2 3- 5+ -4  1  4 17- -3
Curve Equation t Generators 65025cb1 [0,0,1,-41637675,14796267156] 1 [-6315:160937:1]
65025cc (1 curve)	1	3- 5- 17+	0 3- 5-  1  2  1 17+ -1
Curve Equation t Generators 65025cc1 [0,0,1,43350,-3162744] 1 [850:13001:8]
65025cd (2 curves)	1	3- 5- 17+	1 3- 5- -4  6 -4 17+  4
Curve Equation t Generators 65025cd1 [1,-1,0,-7857,18913176] 2 [-216:3348:1] 65025cd2 [1,-1,0,-1113282,446712651] 2 [27750:1552017:8]
65025ce (1 curve)	1	3- 5- 17+	-1 3- 5- -1 -4 -1 17+ -6
Curve Equation t Generators 65025ce1 [1,-1,1,-196430,-37278178] 1 [14988:126155:27]
65025cf (1 curve)	1	3- 5- 17+	-1 3- 5-  2 -4 -1 17+  0
Curve Equation t Generators 65025cf1 [1,-1,1,-56768180,-30740132428] 1 [75702:4190345:8]
65025cg (2 curves)	1	3- 5- 17+	-1 3- 5-  4  6  4 17+  4
Curve Equation t Generators 65025cg1 [1,-1,1,-196430,2363950572] 2 [35537964:-22145144540:456533] 65025cg2 [1,-1,1,-27832055,55811249322] 2 [-1332650:-382036377:1331]
65025ch (1 curve)	1	3- 5- 17+	2 3- 5- -1  2 -7 17+  3
Curve Equation t Generators 65025ch1 [0,0,1,-7044375,9363103281] 1 [1355750:979856401:10648]
65025ci (1 curve)	1	3- 5- 17+	2 3- 5- -2  3  4 17+  1
Curve Equation t Generators 65025ci1 [0,0,1,-255,1381] 1 [50:41:8]
65025cj (1 curve)	1	3- 5- 17+	-2 3- 5-  2  3 -4 17+  1
Curve Equation t Generators 65025cj1 [0,0,1,-6375,172656] 1 [-25:562:1]
65025ck (2 curves)	1	3- 5- 17+	-2 3- 5-  3  2  1 17+ -5
Curve Equation t Generators 65025ck1 [0,0,1,-21675,1258956] 1 [-136:1300:1] 65025ck2 [0,0,1,108375,-60644844] 1 [764269:18389705:1331]
65025cl (1 curve)	0	3- 5- 17-	-1 3- 5- -2  4 -1 17-  0
Curve Equation t 65025cl1 [1,-1,1,-196430,-6210678] 1
65025cm (1 curve)	0	3- 5- 17-	2 3- 5-  2 -3  4 17-  1
Curve Equation t 65025cm1 [0,0,1,-73695,6786081] 1
65025cn (1 curve)	0	3- 5- 17-	-2 3- 5- -2 -3 -4 17-  1
Curve Equation t 65025cn1 [0,0,1,-1842375,848260156] 1

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