Cremona's table of elliptic curves

48825 = 3² · 5² · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
48825a (1 curve)	1	3+ 5+ 7+ 31+	0 3+ 5+ 7+  1 -4  3 -5
Curve Equation t Generators 48825a1 [0,0,1,-135000,18203906] 1 [-264:5953:1]
48825b (1 curve)	1	3+ 5+ 7+ 31+	0 3+ 5+ 7+ -1 -4 -3 -5
Curve Equation t Generators 48825b1 [0,0,1,-15000,-674219] 1 [-59:73:1]
48825c (1 curve)	0	3+ 5+ 7- 31+	0 3+ 5+ 7-  4 -1 -2  0
Curve Equation t 48825c1 [0,0,1,-1350,22781] 1
48825d (1 curve)	0	3+ 5+ 7- 31+	0 3+ 5+ 7- -4 -1  2  0
Curve Equation t 48825d1 [0,0,1,-150,-844] 1
48825e (1 curve)	0	3+ 5+ 7- 31+	2 3+ 5+ 7- -5  4 -5  1
Curve Equation t 48825e1 [0,0,1,-1875,7031] 1
48825f (1 curve)	0	3+ 5+ 7- 31+	-2 3+ 5+ 7-  5  4  5  1
Curve Equation t 48825f1 [0,0,1,-16875,-189844] 1
48825g (1 curve)	1	3+ 5+ 7- 31-	2 3+ 5+ 7- -1  2  3  1
Curve Equation t Generators 48825g1 [0,0,1,-285,1851] 1 [82:17:8]
48825h (1 curve)	1	3+ 5+ 7- 31-	-2 3+ 5+ 7-  1  2 -3  1
Curve Equation t Generators 48825h1 [0,0,1,-2565,-49984] 1 [-29:3:1]
48825i (1 curve)	0	3+ 5- 7+ 31+	2 3+ 5- 7+  5 -4 -5  1
Curve Equation t 48825i1 [0,0,1,-675,-1519] 1
48825j (1 curve)	2	3+ 5- 7+ 31+	-2 3+ 5- 7+ -5 -4  5  1
Curve Equation t Generators 48825j1 [0,0,1,-75,56] 1 [-9:1:1]&[-5:17:1]
48825k (1 curve)	1	3+ 5- 7+ 31-	2 3+ 5- 7+  1 -2  3  1
Curve Equation t Generators 48825k1 [0,0,1,-64125,-6247969] 1 [-12293556:2065757:85184]
48825l (1 curve)	1	3+ 5- 7+ 31-	-2 3+ 5- 7+ -1 -2 -3  1
Curve Equation t Generators 48825l1 [0,0,1,-7125,231406] 1 [25:262:1]
48825m (1 curve)	1	3+ 5- 7- 31+	0 3+ 5- 7-  1  4 -3 -5
Curve Equation t Generators 48825m1 [0,0,1,-5400,145631] 1 [-15:472:1]
48825n (1 curve)	1	3+ 5- 7- 31+	0 3+ 5- 7- -1  4  3 -5
Curve Equation t Generators 48825n1 [0,0,1,-600,-5394] 1 [-16:10:1]
48825o (1 curve)	0	3- 5+ 7+ 31+	0 3- 5+ 7+ -4  2  3 -5
Curve Equation t 48825o1 [0,0,1,2893200,-2262954344] 1
48825p (2 curves)	0	3- 5+ 7+ 31+	1 3- 5+ 7+ -2  2  2  8
Curve Equation t 48825p1 [1,-1,0,-792,-4509] 2 48825p2 [1,-1,0,2583,-34884] 2
48825q (2 curves)	0	3- 5+ 7+ 31+	1 3- 5+ 7+ -2 -4  8 -4
Curve Equation t 48825q1 [1,-1,0,-1259217,546096816] 2 48825q2 [1,-1,0,-20167092,34863889941] 2
48825r (2 curves)	0	3- 5+ 7+ 31+	1 3- 5+ 7+ -6  0 -4  4
Curve Equation t 48825r1 [1,-1,0,928683,128830216] 2 48825r2 [1,-1,0,-3993192,1068908341] 2
48825s (4 curves)	0	3- 5+ 7+ 31+	-1 3- 5+ 7+  0  6  6 -4
Curve Equation t 48825s1 [1,-1,1,8095,281472] 2 48825s2 [1,-1,1,-47030,2706972] 4 48825s3 [1,-1,1,-291155,-58324278] 2 48825s4 [1,-1,1,-684905,218308722] 2
48825t (6 curves)	0	3- 5+ 7+ 31+	-1 3- 5+ 7+ -4 -6  2  4
Curve Equation t 48825t1 [1,-1,1,-147380,-39135378] 2 48825t2 [1,-1,1,-2848505,-1848889128] 4 48825t3 [1,-1,1,-3344630,-1160267628] 4 48825t4 [1,-1,1,-45570380,-118394164128] 2 48825t5 [1,-1,1,11420995,-8631673878] 2 48825t6 [1,-1,1,-26048255,50376961122] 2
48825u (1 curve)	0	3- 5+ 7+ 31+	2 3- 5+ 7+ -1  6 -1  1
Curve Equation t 48825u1 [0,0,1,-1515,22351] 1
48825v (1 curve)	0	3- 5+ 7+ 31+	2 3- 5+ 7+ -5 -2  3 -7
Curve Equation t 48825v1 [0,0,1,-125625,-10649219] 1
48825w (3 curves)	1	3- 5+ 7+ 31-	0 3- 5+ 7+  0 -5  0  2
Curve Equation t Generators 48825w1 [0,0,1,5100,304906] 1 [244:4009:1] 48825w2 [0,0,1,-237900,44743531] 1 [271:-419:1] 48825w3 [0,0,1,-19279650,32583432406] 1 [162244:-23:64]
48825x (2 curves)	1	3- 5+ 7+ 31-	0 3- 5+ 7+  3 -2  3 -7
Curve Equation t Generators 48825x1 [0,0,1,-2460,23296] 1 [106:976:1] 48825x2 [0,0,1,-169860,26945401] 1 [2018:3083:8]
48825y (1 curve)	1	3- 5+ 7+ 31-	0 3- 5+ 7+  3 -2  7  1
Curve Equation t Generators 48825y1 [0,0,1,-2280,-22239] 1 [191:2551:1]
48825z (2 curves)	1	3- 5+ 7+ 31-	0 3- 5+ 7+ -3 -2 -3  5
Curve Equation t Generators 48825z1 [0,0,1,-716250,-233314844] 1 [-13182:928:27] 48825z2 [0,0,1,-1053750,8250781] 1 [-19:5316:1]
48825ba (2 curves)	1	3- 5+ 7+ 31-	0 3- 5+ 7+ -3  4  3 -1
Curve Equation t Generators 48825ba1 [0,0,1,-5756250,-2248330469] 1 [-3982:177719:8] 48825ba2 [0,0,1,-241162500,1441427578906] 1 [102259784146:179034711943:11543176]
48825bb (2 curves)	1	3- 5+ 7+ 31-	-1 3- 5+ 7+  2  2  2  4
Curve Equation t Generators 48825bb1 [1,-1,1,-2480,-56478] 2 [822:6585:8] 48825bb2 [1,-1,1,-41855,-3285228] 2 [2262:20665:8]
48825bc (1 curve)	1	3- 5+ 7- 31+	0 3- 5+ 7- -1 -7 -7  6
Curve Equation t Generators 48825bc1 [0,0,1,-187200,31514906] 1 [1570:60062:1]
48825bd (1 curve)	1	3- 5+ 7- 31+	0 3- 5+ 7- -4  2 -1  3
Curve Equation t Generators 48825bd1 [0,0,1,450,495281] 1 [-65:437:1]
48825be (4 curves)	1	3- 5+ 7- 31+	-1 3- 5+ 7-  4 -2 -2  4
Curve Equation t Generators 48825be1 [1,-1,1,5245,59122] 2 [-2:221:1] 48825be2 [1,-1,1,-22880,509122] 4 [-140:1046:1] 48825be3 [1,-1,1,-197255,-33319628] 2 [-265:671:1] 48825be4 [1,-1,1,-298505,62800372] 2 [329:185:1]
48825bf (1 curve)	1	3- 5+ 7- 31+	2 3- 5+ 7-  1  1  1 -2
Curve Equation t Generators 48825bf1 [0,0,1,-7642575,14193544781] 1 [691160850380:83287513533205437:699281245376]
48825bg (1 curve)	0	3- 5+ 7- 31-	0 3- 5+ 7- -5  0  5  7
Curve Equation t 48825bg1 [0,0,1,-2235000,-1286067969] 1
48825bh (2 curves)	0	3- 5+ 7- 31-	1 3- 5+ 7-  2  4  0 -4
Curve Equation t 48825bh1 [1,-1,0,783,16816] 2 48825bh2 [1,-1,0,-7092,197941] 2
48825bi (2 curves)	0	3- 5+ 7- 31-	1 3- 5+ 7- -2  0 -4  4
Curve Equation t 48825bi1 [1,-1,0,-15972192,25124516091] 2 48825bi2 [1,-1,0,-257144067,1587194750466] 2
48825bj (1 curve)	0	3- 5+ 7- 31-	1 3- 5+ 7-  4 -3  5  7
Curve Equation t 48825bj1 [1,-1,0,-162,-999] 1
48825bk (4 curves)	0	3- 5+ 7- 31-	-1 3- 5+ 7-  0 -2 -2 -4
Curve Equation t 48825bk1 [1,-1,1,-31505,1929872] 2 48825bk2 [1,-1,1,-122630,-14472628] 4 48825bk3 [1,-1,1,191245,-76619878] 2 48825bk4 [1,-1,1,-1894505,-1003178878] 2
48825bl (6 curves)	0	3- 5+ 7- 31-	-1 3- 5+ 7- -4  2 -6  4
Curve Equation t 48825bl1 [1,-1,1,-4257005,-3379617628] 2 48825bl2 [1,-1,1,-4258130,-3377741128] 4 48825bl3 [1,-1,1,-3195005,-5106382378] 2 48825bl4 [1,-1,1,-5339255,-1529017378] 4 48825bl5 [1,-1,1,20084620,-11901958378] 2 48825bl6 [1,-1,1,-48061130,127149270122] 2
48825bm (4 curves)	0	3- 5+ 7- 31-	-1 3- 5+ 7- -4  6 -2  4
Curve Equation t 48825bm1 [1,-1,1,-1300730,568044272] 2 48825bm2 [1,-1,1,-2120855,-234037978] 4 48825bm3 [1,-1,1,8297770,-1859343478] 2 48825bm4 [1,-1,1,-25661480,-49951837978] 2
48825bn (2 curves)	0	3- 5+ 7- 31-	2 3- 5+ 7-  3  4  7  5
Curve Equation t 48825bn1 [0,0,1,-346485,-77927049] 1 48825bn2 [0,0,1,-18114375,29673313281] 1
48825bo (1 curve)	0	3- 5+ 7- 31-	2 3- 5+ 7-  5  5 -3 -2
Curve Equation t 48825bo1 [0,0,1,-75,29781] 1
48825bp (1 curve)	0	3- 5+ 7- 31-	-2 3- 5+ 7-  1 -3  5 -2
Curve Equation t 48825bp1 [0,0,1,-7490325,-7890444594] 1
48825bq (1 curve)	0	3- 5+ 7- 31-	-2 3- 5+ 7-  5  4 -3 -7
Curve Equation t 48825bq1 [0,0,1,-125625,-15458594] 1
48825br (1 curve)	0	3- 5- 7+ 31-	0 3- 5- 7+ -5  0 -5  7
Curve Equation t 48825br1 [0,0,1,-89400,-10288544] 1
48825bs (1 curve)	0	3- 5- 7+ 31-	-1 3- 5- 7+  4  3 -5  7
Curve Equation t 48825bs1 [1,-1,1,-4055,-128928] 1
48825bt (1 curve)	0	3- 5- 7+ 31-	2 3- 5- 7+  5 -4  3 -7
Curve Equation t 48825bt1 [0,0,1,-5025,-123669] 1
48825bu (2 curves)	2	3- 5- 7+ 31-	-2 3- 5- 7+  3 -4 -7  5
Curve Equation t Generators 48825bu1 [0,0,1,-724575,237386506] 1 [681725:-1060168:1331]&[-380:21397:1] 48825bu2 [0,0,1,-8662125,-9740881094] 1 [-14350:40271:8]&[-1714:8403:1]
48825bv (1 curve)	2	3- 5- 7- 31+	-2 3- 5- 7- -1 -6  1  1
Curve Equation t Generators 48825bv1 [0,0,1,-37875,2793906] 1 [-100:2362:1]&[50:-1013:1]
48825bw (1 curve)	2	3- 5- 7- 31+	-2 3- 5- 7- -5  2 -3 -7
Curve Equation t Generators 48825bw1 [0,0,1,-5025,-85194] 1 [-60:17:1]&[-46:-221:1]
48825bx (2 curves)	1	3- 5- 7- 31-	0 3- 5- 7-  3  2 -3 -7
Curve Equation t Generators 48825bx1 [0,0,1,-61500,2912031] 1 [-121:2929:1] 48825bx2 [0,0,1,-4246500,3368175156] 3 [500:37012:1]
48825by (1 curve)	1	3- 5- 7- 31-	0 3- 5- 7-  3  2 -7  1
Curve Equation t Generators 48825by1 [0,0,1,-57000,-2779844] 1 [-200:787:1]
48825bz (2 curves)	1	3- 5- 7- 31-	0 3- 5- 7- -3  2  3  5
Curve Equation t Generators 48825bz1 [0,0,1,-28650,-1866519] 1 [-782:23:8] 48825bz2 [0,0,1,-42150,66006] 3 [-190:1102:1]
48825ca (2 curves)	1	3- 5- 7- 31-	0 3- 5- 7- -3 -4 -3 -1
Curve Equation t Generators 48825ca1 [0,0,1,-230250,-17986644] 1 [1886:79096:1] 48825ca2 [0,0,1,-9646500,11531420631] 3 [1805:472:1]

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