Cremona's table of elliptic curves

125715 = 3 · 5 · 17² · 29

Class	r	Atkin-Lehner	Eigenvalues
125715a (1 curve)	1	3+ 5+ 17+ 29+	0 3+ 5+ -1  0  4 17+  0
Curve Equation t Generators 125715a1 [0,-1,1,894359,-658504239] 1 [41262991:7268456120:1331]
125715b (1 curve)	1	3+ 5+ 17+ 29+	0 3+ 5+  2  0  4 17+  0
Curve Equation t Generators 125715b1 [0,-1,1,-11,26] 1 [4:5:1]
125715c (4 curves)	1	3+ 5+ 17+ 29+	1 3+ 5+  0 -4  6 17+  4
Curve Equation t Generators 125715c1 [1,1,0,-67198,11618887] 2 [317836561122:13663958236967:5008988431] 125715c2 [1,1,0,-1282443,558236088] 4 [31801098:158262141:54872] 125715c3 [1,1,0,-1491968,363252123] 2 [111527036114:-20766774734719:1338273208] 125715c4 [1,1,0,-20516838,35761025817] 2 [29498938148798:-11897918340549:11269556488]
125715d (1 curve)	1	3+ 5+ 17+ 29+	1 3+ 5+ -3  2  3 17+ -5
Curve Equation t Generators 125715d1 [1,1,0,-24188,-1458057] 1 [1982:21399:8]
125715e (4 curves)	1	3+ 5+ 17+ 29+	1 3+ 5+  4  0 -2 17+ -8
Curve Equation t Generators 125715e1 [1,1,0,6497,107728] 2 [661799544:40311504953:175616] 125715e2 [1,1,0,-29628,880803] 4 [964916:117994537:64] 125715e3 [1,1,0,-239153,-44502312] 2 [-1845930086:-1290594479:6028568] 125715e4 [1,1,0,-398103,96463218] 2 [2120599364:259151314141:140608]
125715f (4 curves)	1	3+ 5+ 17+ 29+	1 3+ 5+ -4  4  6 17+ -4
Curve Equation t Generators 125715f1 [1,1,0,-7953,269568] 2 [-162:5283:8] 125715f2 [1,1,0,-9398,162927] 4 [-194:5011:8] 125715f3 [1,1,0,32507,1260838] 2 [3060278:59954207:17576] 125715f4 [1,1,0,-74423,-7731108] 2 [-390222:312969:2744]
125715g (6 curves)	1	3+ 5+ 17+ 29+	-1 3+ 5+  0 -4 -2 17+  4
Curve Equation t Generators 125715g1 [1,1,1,-260106,50800134] 2 [18:6782:1] 125715g2 [1,1,1,-377151,377148] 4 [-63:4919:1] 125715g3 [1,1,1,1508574,4902888] 2 [2984904:231445543:512] 125715g4 [1,1,1,-4135596,-3228878796] 4 [-20651202:65722857:17576] 125715g5 [1,1,1,-2293221,-6118459746] 2 [692301182594658:-49577845431614401:122467300696] 125715g6 [1,1,1,-66113091,-206936509362] 2 [-303111514987839246:151379970375385591:64568072523032]
125715h (4 curves)	1	3+ 5+ 17+ 29+	-1 3+ 5+  4  0  6 17+  8
Curve Equation t Generators 125715h1 [1,1,1,-8676,-212412] 2 [-66:312:1] 125715h2 [1,1,1,-125721,-17207346] 4 [6201616:230984543:4096] 125715h3 [1,1,1,-112716,-20890362] 2 [3782:43189:8] 125715h4 [1,1,1,-2011446,-1098859206] 2 [-60091153677282:30016217717429:73349586856]
125715i (2 curves)	0	3+ 5+ 17+ 29-	1 3+ 5+ -4 -2  2 17+  2
Curve Equation t 125715i1 [1,1,0,-26738,-1529457] 2 125715i2 [1,1,0,-100433,10571262] 2
125715j (1 curve)	0	3+ 5+ 17+ 29-	-2 3+ 5+ -4 -5  2 17+  2
Curve Equation t 125715j1 [0,-1,1,21216924,14953029482] 1
125715k (1 curve)	1	3+ 5+ 17- 29-	0 3+ 5+  2  0  4 17-  0
Curve Equation t Generators 125715k1 [0,-1,1,-2905991,-2102818153] 1 [30837777505:2683034306504:3869893]
125715l (1 curve)	0	3+ 5- 17+ 29+	1 3+ 5-  0  3 -4 17+  0
Curve Equation t 125715l1 [1,1,0,-4587,-126396] 1
125715m (2 curves)	1	3+ 5- 17+ 29-	0 3+ 5-  1  0 -4 17+ -4
Curve Equation t Generators 125715m1 [0,-1,1,167235,-35879749] 1 [219033:4690250:729] 125715m2 [0,-1,1,-5450925,-4917288292] 1 [96348:3918104:27]
125715n (2 curves)	1	3+ 5- 17+ 29-	0 3+ 5- -2 -3  2 17+  2
Curve Equation t Generators 125715n1 [0,-1,1,-3275,74741] 1 [91:722:1] 125715n2 [0,-1,1,14065,309698] 1 [754:20952:1]
125715o (2 curves)	1	3+ 5- 17+ 29-	1 3+ 5-  2 -2  2 17+  2
Curve Equation t Generators 125715o1 [1,1,0,-6299772,6083392131] 2 [1382:3669:1] 125715o2 [1,1,0,-6182727,6320455074] 2 [-3426:756003:8]
125715p (1 curve)	1	3+ 5- 17+ 29-	-1 3+ 5- -3  4  3 17+  1
Curve Equation t Generators 125715p1 [1,1,1,-406340,-138331870] 1 [768:1438:1]
125715q (1 curve)	1	3+ 5- 17+ 29-	2 3+ 5-  1  0 -2 17+  2
Curve Equation t Generators 125715q1 [0,-1,1,-126100,-17955969] 1 [20955126280330:2049734429000789:2186875592]
125715r (1 curve)	1	3+ 5- 17+ 29-	-2 3+ 5-  2  4  2 17+  2
Curve Equation t Generators 125715r1 [0,-1,1,-8120,-278944] 1 [890:3411:8]
125715s (1 curve)	0	3+ 5- 17- 29-	-2 3+ 5- -4 -1 -2 17-  6
Curve Equation t 125715s1 [0,-1,1,-224360,-41002852] 1
125715t (1 curve)	0	3- 5+ 17+ 29+	0 3- 5+ -3  4  4 17+  0
Curve Equation t 125715t1 [0,1,1,-1033271,-404613040] 1
125715u (1 curve)	0	3- 5+ 17+ 29+	0 3- 5+  4 -3  4 17+  0
Curve Equation t 125715u1 [0,1,1,-854380911,9818716324295] 1
125715v (1 curve)	0	3- 5+ 17+ 29+	2 3- 5+ -1  0 -2 17+  2
Curve Equation t 125715v1 [0,1,1,-436,-3809] 1
125715w (1 curve)	0	3- 5+ 17+ 29+	-2 3- 5+  4  1 -2 17+  6
Curve Equation t 125715w1 [0,1,1,-776,-8620] 1
125715x (1 curve)	1	3- 5+ 17- 29+	-2 3- 5+ -2 -4  2 17-  2
Curve Equation t Generators 125715x1 [0,1,1,-2346776,-1384531120] 1 [23320:3553360:1]
125715y (1 curve)	0	3- 5+ 17- 29-	1 3- 5+  0 -3 -4 17-  0
Curve Equation t 125715y1 [1,0,1,-1325794,-611703349] 1
125715z (1 curve)	1	3- 5- 17+ 29+	0 3- 5-  2 -1  6 17+ -2
Curve Equation t Generators 125715z1 [0,1,1,22735,-5379481] 1 [181:2167:1]
125715ba (1 curve)	1	3- 5- 17+ 29+	0 3- 5- -2  0  4 17+  0
Curve Equation t Generators 125715ba1 [0,1,1,-839831495,-10336184573251] 1 [3624545206:308211349927:97336]
125715bb (2 curves)	1	3- 5- 17+ 29+	1 3- 5- -2  4 -2 17+  0
Curve Equation t Generators 125715bb1 [1,0,1,-16913,-437137] 2 [-31:255:1] 125715bb2 [1,0,1,56782,-3208069] 2 [29230:1755981:8]
125715bc (2 curves)	1	3- 5- 17+ 29+	1 3- 5- -4 -2  2 17+ -6
Curve Equation t Generators 125715bc1 [1,0,1,-778428,261553501] 2 [407:3288:1] 125715bc2 [1,0,1,-1441683,-250214057] 2 [-32908:1222617:64]
125715bd (2 curves)	0	3- 5- 17+ 29-	1 3- 5-  2 -2  2 17+ -6
Curve Equation t 125715bd1 [1,0,1,-160991358,249039513211] 2 125715bd2 [1,0,1,606940887,1938183279313] 2
125715be (1 curve)	0	3- 5- 17- 29+	-2 3- 5-  4  5  2 17-  2
Curve Equation t 125715be1 [0,1,1,6131690940,73501023992114] 1
125715bf (1 curve)	1	3- 5- 17- 29-	0 3- 5- -2  0  4 17-  0
Curve Equation t Generators 125715bf1 [0,1,1,-3275,109496] 1 [3330:25514:125]
125715bg (1 curve)	1	3- 5- 17- 29-	1 3- 5-  3 -2  3 17- -5
Curve Equation t Generators 125715bg1 [1,0,1,-6990483,-7114501019] 1 [6789029:58506453:2197]

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