Cremona's table of elliptic curves

129285 = 3² · 5 · 13² · 17

Class	r	Atkin-Lehner	Eigenvalues
129285a (1 curve)	1	3+ 5+ 13+ 17+	0 3+ 5+  0  3 13+ 17+ -3
Curve Equation t Generators 129285a1 [0,0,1,702,5528] 1 [18:671:8]
129285b (1 curve)	1	3+ 5+ 13+ 17+	0 3+ 5+  2 -5 13+ 17+  1
Curve Equation t Generators 129285b1 [0,0,1,-2808,-57301] 1 [79:462:1]
129285c (1 curve)	1	3+ 5+ 13+ 17+	0 3+ 5+ -4 -2 13+ 17+  4
Curve Equation t Generators 129285c1 [0,0,1,-10978578,-22653288421] 1 [2069420544867:161536056075167:263374721]
129285d (2 curves)	1	3+ 5+ 13+ 17+	1 3+ 5+ -4  2 13+ 17+  0
Curve Equation t Generators 129285d1 [1,-1,0,-2820,-60605] 2 [12838:507457:8] 129285d2 [1,-1,0,-45915,-3775394] 2 [270:1724:1]
129285e (2 curves)	1	3+ 5+ 13+ 17+	-1 3+ 5+ -4  2 13+ 17+ -4
Curve Equation t Generators 129285e1 [1,-1,1,6052,200542] 2 [22:575:1] 129285e2 [1,-1,1,-37043,1976056] 2 [10:1262:1]
129285f (1 curve)	0	3+ 5+ 13+ 17-	0 3+ 5+  0  3 13+ 17-  3
Curve Equation t 129285f1 [0,0,1,13182,-449836] 1
129285g (1 curve)	2	3+ 5+ 13+ 17-	0 3+ 5+ -2 -5 13+ 17- -1
Curve Equation t Generators 129285g1 [0,0,1,-52728,4662583] 1 [-169:2957:1]&[338:12671:8]
129285h (1 curve)	0	3+ 5- 13+ 17+	0 3+ 5-  0 -3 13+ 17+  3
Curve Equation t 129285h1 [0,0,1,118638,12145565] 1
129285i (1 curve)	0	3+ 5- 13+ 17+	0 3+ 5- -2  5 13+ 17+ -1
Curve Equation t 129285i1 [0,0,1,-474552,-125889748] 1
129285j (1 curve)	1	3+ 5- 13+ 17-	0 3+ 5-  0 -3 13+ 17- -3
Curve Equation t Generators 129285j1 [0,0,1,78,-205] 1 [3:7:1]
129285k (1 curve)	1	3+ 5- 13+ 17-	0 3+ 5-  2  5 13+ 17-  1
Curve Equation t Generators 129285k1 [0,0,1,-312,2122] 1 [10:-2:1]
129285l (1 curve)	1	3+ 5- 13+ 17-	0 3+ 5- -4  2 13+ 17-  4
Curve Equation t Generators 129285l1 [0,0,1,-1219842,839010682] 1 [2392:-107738:1]
129285m (2 curves)	1	3+ 5- 13+ 17-	1 3+ 5- -4 -2 13+ 17- -4
Curve Equation t Generators 129285m1 [1,-1,0,54471,-5469112] 2 [85453236:28254734:970299] 129285m2 [1,-1,0,-333384,-53020135] 2 [470376:78983:729]
129285n (2 curves)	1	3+ 5- 13+ 17-	-1 3+ 5- -4 -2 13+ 17-  0
Curve Equation t Generators 129285n1 [1,-1,1,-25382,1661716] 2 [-16:1444:1] 129285n2 [1,-1,1,-413237,102348874] 2 [-68:11441:1]
129285o (1 curve)	0	3- 5+ 13+ 17+	0 3- 5+ -2  2 13+ 17+ -2
Curve Equation t 129285o1 [0,0,1,-990678,-612419792] 1
129285p (2 curves)	0	3- 5+ 13+ 17+	0 3- 5+ -2 -3 13+ 17+  1
Curve Equation t 129285p1 [0,0,1,-1370928,1073872179] 1 129285p2 [0,0,1,-132465918,586819396998] 1
129285q (2 curves)	0	3- 5+ 13+ 17+	1 3- 5+  2  2 13+ 17+  0
Curve Equation t 129285q1 [1,-1,0,-12960,568075] 2 129285q2 [1,-1,0,-5355,1223626] 2
129285r (4 curves)	0	3- 5+ 13+ 17+	1 3- 5+ -4 -4 13+ 17+  0
Curve Equation t 129285r1 [1,-1,0,345177990,-3900567275825] 2 129285r2 [1,-1,0,-2625525135,-41787132510200] 4 129285r3 [1,-1,0,-13068140760,537742529784175] 2 129285r4 [1,-1,0,-39714159510,-3046092618242075] 2
129285s (2 curves)	0	3- 5+ 13+ 17+	-1 3- 5+  2 -4 13+ 17+  2
Curve Equation t 129285s1 [1,-1,1,-21883673,39408392872] 2 129285s2 [1,-1,1,-21876068,39437145856] 2
129285t (4 curves)	2	3- 5+ 13+ 17+	-1 3- 5+ -4  0 13+ 17+ -4
Curve Equation t Generators 129285t1 [1,-1,1,-206888,-20492494] 2 [-384:1681:1]&[-185:3472:1] 129285t2 [1,-1,1,-1492133,687420452] 4 [-1368:13612:1]&[-354:34399:1] 129285t3 [1,-1,1,188572,2147616956] 2 [790:-53208:1]&[2665:145542:1] 129285t4 [1,-1,1,-23736758,44518229552] 2 [2818:-1832:1]&[1635:99568:1]
129285u (1 curve)	0	3- 5+ 13+ 17+	-2 3- 5+  1  2 13+ 17+  0
Curve Equation t 129285u1 [0,0,1,-98159763,379536111594] 1
129285v (1 curve)	1	3- 5+ 13+ 17-	0 3- 5+ -2  1 13+ 17- -1
Curve Equation t Generators 129285v1 [0,0,1,2188212,-2615780606] 1 [7774:695857:1]
129285w (4 curves)	1	3- 5+ 13+ 17-	-1 3- 5+  4 -4 13+ 17-  4
Curve Equation t Generators 129285w1 [1,-1,1,-39578,-2897904] 2 [8148:731160:1] 129285w2 [1,-1,1,-108023,9887622] 4 [-358:1785:1] 129285w3 [1,-1,1,279832,64497606] 2 [348:-14455:1] 129285w4 [1,-1,1,-1590998,772729962] 2 [-1420:13638:1]
129285x (1 curve)	1	3- 5+ 13+ 17-	-2 3- 5+  4  3 13+ 17- -1
Curve Equation t Generators 129285x1 [0,0,1,-9633,-366012] 1 [131:787:1]
129285y (1 curve)	1	3- 5+ 13- 17+	0 3- 5+  4  4 13- 17+  0
Curve Equation t Generators 129285y1 [0,0,1,-907608,332843683] 1 [559:409:1]
129285z (1 curve)	0	3- 5+ 13- 17-	0 3- 5+  0  4 13- 17- -4
Curve Equation t 129285z1 [0,0,1,-114348,-15190016] 1
129285ba (2 curves)	1	3- 5- 13+ 17+	0 3- 5-  2  3 13+ 17+ -1
Curve Equation t Generators 129285ba1 [0,0,1,-8112,488790] 1 [-52:877:1] 129285ba2 [0,0,1,-783822,267100317] 3 [407:3937:1]
129285bb (1 curve)	1	3- 5- 13+ 17+	0 3- 5- -2  2 13+ 17+ -2
Curve Equation t Generators 129285bb1 [0,0,1,-8112,325705] 1 [-65:760:1]
129285bc (1 curve)	1	3- 5- 13+ 17+	2 3- 5- -1 -2 13+ 17+  0
Curve Equation t Generators 129285bc1 [0,0,1,-580827,172751985] 1 [3634:13001:8]
129285bd (1 curve)	0	3- 5- 13+ 17-	0 3- 5-  2 -1 13+ 17-  1
Curve Equation t 129285bd1 [0,0,1,12948,-1190615] 1
129285be (2 curves)	0	3- 5- 13+ 17-	-1 3- 5-  2  0 13+ 17- -2
Curve Equation t 129285be1 [1,-1,1,-30452,1866206] 2 129285be2 [1,-1,1,37993,9011864] 2
129285bf (1 curve)	0	3- 5- 13+ 17-	2 3- 5- -4 -3 13+ 17-  1
Curve Equation t 129285bf1 [0,0,1,-1627977,-804127815] 1
129285bg (1 curve)	0	3- 5- 13- 17+	0 3- 5- -4 -4 13- 17+  0
Curve Equation t 129285bg1 [0,0,1,-153385752,731257572100] 1
129285bh (1 curve)	1	3- 5- 13- 17-	0 3- 5-  0 -4 13- 17-  4
Curve Equation t Generators 129285bh1 [0,0,1,-19324812,-33372464603] 1 [98527:30895312:1]

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