Cremona's table of elliptic curves

33825 = 3 · 5² · 11 · 41

Class	r	Atkin-Lehner	Eigenvalues
33825a (2 curves)	1	3+ 5+ 11+ 41+	0 3+ 5+ -2 11+ -2 -3  2
Curve Equation t Generators 33825a1 [0,-1,1,-1846113963,30531252981458] 1 [459552:54269515:27] 33825a2 [0,-1,1,-1846095663,30531888521843] 1 [158164984068614023893:18678665472376312130660:9292390499782053]
33825b (2 curves)	1	3+ 5+ 11+ 41+	0 3+ 5+ -2 11+  4  3 -1
Curve Equation t Generators 33825b1 [0,-1,1,-7133,119168] 1 [12:187:1] 33825b2 [0,-1,1,-277133,-56057707] 1 [-2085117:422008:6859]
33825c (2 curves)	1	3+ 5+ 11+ 41+	0 3+ 5+  4 11+  4 -3  2
Curve Equation t Generators 33825c1 [0,-1,1,220417,4692818] 1 [14869980:5128756994:125] 33825c2 [0,-1,1,-2817083,-1994741557] 1 [389511176048463946611717405:-134333448069253009583838339784:3274167057772446832625]
33825d (4 curves)	1	3+ 5+ 11+ 41+	1 3+ 5+  0 11+ -2  2 -8
Curve Equation t Generators 33825d1 [1,1,0,1875,45000] 2 [152336:1602223:4096] 33825d2 [1,1,0,-13250,453375] 4 [190:2105:1] 33825d3 [1,1,0,-69625,-6706250] 2 [-150:700:1] 33825d4 [1,1,0,-198875,34051500] 2 [156680:639685:512]
33825e (1 curve)	1	3+ 5+ 11+ 41+	-2 3+ 5+  0 11+  4  5 -5
Curve Equation t Generators 33825e1 [0,-1,1,-11841758,15418387418] 1 [-3606:3520099:27]
33825f (1 curve)	0	3+ 5+ 11+ 41-	1 3+ 5+  0 11+  3  2  4
Curve Equation t 33825f1 [1,1,0,5,10] 1
33825g (1 curve)	0	3+ 5+ 11+ 41-	-1 3+ 5+ -1 11+  6  3  3
Curve Equation t 33825g1 [1,1,1,-838,-10594] 1
33825h (1 curve)	1	3+ 5+ 11- 41-	0 3+ 5+ -3 11- -3  2 -3
Curve Equation t Generators 33825h1 [0,-1,1,-50533,4433508] 1 [126:-226:1]
33825i (2 curves)	1	3+ 5+ 11- 41-	-1 3+ 5+ -4 11-  0 -6  0
Curve Equation t Generators 33825i1 [1,1,1,-1738,22406] 2 [-26:238:1] 33825i2 [1,1,1,3387,135156] 2 [120:-1573:1]
33825j (1 curve)	0	3+ 5- 11- 41-	0 3+ 5-  2 11-  2 -3  2
Curve Equation t 33825j1 [0,-1,1,-833,-9682] 1
33825k (2 curves)	0	3+ 5- 11- 41-	1 3+ 5-  2 11-  0  0  4
Curve Equation t 33825k1 [1,1,0,800,-9125] 2 33825k2 [1,1,0,-4825,-93500] 2
33825l (1 curve)	0	3+ 5- 11- 41-	-1 3+ 5- -1 11- -6  1 -2
Curve Equation t 33825l1 [1,1,1,-1013,-68344] 1
33825m (1 curve)	0	3+ 5- 11- 41-	-1 3+ 5- -4 11-  5 -6  0
Curve Equation t 33825m1 [1,1,1,-738,32856] 1
33825n (2 curves)	0	3+ 5- 11- 41-	2 3+ 5-  2 11- -4 -3  0
Curve Equation t 33825n1 [0,-1,1,30492,-654907] 1 33825n2 [0,-1,1,-2867458,1870712943] 1
33825o (3 curves)	0	3+ 5- 11- 41-	2 3+ 5-  2 11-  6  7 -5
Curve Equation t 33825o1 [0,-1,1,-4802458,-4049224557] 1 33825o2 [0,-1,1,-5656208,-2509960807] 1 33825o3 [0,-1,1,-1726784958,27619419690443] 1
33825p (1 curve)	0	3- 5+ 11+ 41+	0 3- 5+ -2 11+  0  5 -1
Curve Equation t 33825p1 [0,1,1,-16783,-783281] 1
33825q (1 curve)	1	3- 5+ 11+ 41-	-2 3- 5+  4 11+  4  1 -3
Curve Equation t Generators 33825q1 [0,1,1,-13408,432094] 1 [-37:937:1]
33825r (2 curves)	1	3- 5+ 11- 41+	1 3- 5+  0 11- -4  6  4
Curve Equation t Generators 33825r1 [1,0,1,-1051,-3127] 2 [-106:787:8] 33825r2 [1,0,1,4074,-23627] 2 [17:216:1]
33825s (1 curve)	1	3- 5+ 11- 41+	-1 3- 5+  1 11-  2 -3  5
Curve Equation t Generators 33825s1 [1,0,0,-288,644067] 1 [261:4155:1]
33825t (4 curves)	1	3- 5+ 11- 41+	-1 3- 5+  4 11- -2  2  0
Curve Equation t Generators 33825t1 [1,0,0,-481938,-128459133] 2 [807:2484:1] 33825t2 [1,0,0,-692063,-5536008] 4 [-377:14395:1] 33825t3 [1,0,0,2767312,-43589133] 2 [1498:85645:1] 33825t4 [1,0,0,-7513438,7900437617] 2 [1757:10259:1]
33825u (1 curve)	0	3- 5+ 11- 41-	0 3- 5+ -2 11- -2  3  2
Curve Equation t 33825u1 [0,1,1,-33,-91] 1
33825v (1 curve)	0	3- 5+ 11- 41-	1 3- 5+  4 11- -5  6  0
Curve Equation t 33825v1 [1,0,1,-18451,4143923] 1
33825w (2 curves)	0	3- 5+ 11- 41-	-2 3- 5+ -2 11-  4  3  0
Curve Equation t 33825w1 [0,1,1,-114698,14919824] 5 33825w2 [0,1,1,762292,-80338756] 1
33825x (1 curve)	0	3- 5+ 11- 41-	-2 3- 5+  4 11-  4 -3  3
Curve Equation t 33825x1 [0,1,1,-258,-1606] 1
33825y (2 curves)	1	3- 5- 11+ 41+	0 3- 5-  2 11+  2  3  2
Curve Equation t Generators 33825y1 [0,1,1,-46152849083,3816314316984119] 3 [283974029065827690858220641:-46602263667690450159342793201:1705934290777510824927] 33825y2 [0,1,1,-46152391583,3816393760447244] 1 [4039989814829009429702109237028636089507087212047269796289544885698056253756106:-663034854023698863887425861940629122371691740060406619401109877971900548698313985:24269988591806263058824001488128066700807267449391978855039037181164824008]
33825z (2 curves)	1	3- 5- 11+ 41+	0 3- 5- -4 11+ -4  3  2
Curve Equation t Generators 33825z1 [0,1,1,8817,41069] 3 [-6:1481:8] 33825z2 [0,1,1,-112683,-16003006] 1 [4602:83849:8]
33825ba (1 curve)	0	3- 5- 11+ 41-	-1 3- 5-  0 11+ -3 -2  4
Curve Equation t 33825ba1 [1,0,0,112,1017] 1
33825bb (1 curve)	1	3- 5- 11- 41-	0 3- 5-  3 11-  3 -2 -3
Curve Equation t Generators 33825bb1 [0,1,1,-1263333,551661869] 1 [177:-18266:1]
33825bc (1 curve)	1	3- 5- 11- 41-	1 3- 5-  1 11-  6 -1 -2
Curve Equation t Generators 33825bc1 [1,0,1,-41,-547] 1 [27:121:1]
33825bd (2 curves)	1	3- 5- 11- 41-	-1 3- 5- -2 11-  0  0  4
Curve Equation t Generators 33825bd1 [1,0,0,32,-73] 2 [7:19:1] 33825bd2 [1,0,0,-193,-748] 2 [-7:20:1]
33825be (3 curves)	1	3- 5- 11- 41-	-2 3- 5- -2 11- -6 -7 -5
Curve Equation t Generators 33825be1 [0,1,1,-192098,-32470636] 1 [-18772446:-36919:74088] 33825be2 [0,1,1,-226248,-20170186] 5 [-3366:6761:8] 33825be3 [0,1,1,-69071398,220927728964] 5 [-65126:3949961:8]

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