Cremona's table of elliptic curves

88725 = 3 · 5² · 7 · 13²

Class	r	Atkin-Lehner	Eigenvalues
88725a (2 curves)	1	3+ 5+ 7+ 13+	0 3+ 5+ 7+  0 13+ -6 -7
Curve Equation t Generators 88725a1 [0,-1,1,1530577,-1047002422] 1 [82004016792:1587081491237:131872229] 88725a2 [0,-1,1,-51856523,-144265906237] 1 [3704116236846751821199693831013007123:320174516408712110584884884473366793128:295621058210928359135106126997171]
88725b (1 curve)	1	3+ 5+ 7+ 13+	0 3+ 5+ 7+  1 13+ -7  4
Curve Equation t Generators 88725b1 [0,-1,1,-75210633,251446726793] 1 [3861:136384:1]
88725c (1 curve)	1	3+ 5+ 7+ 13+	0 3+ 5+ 7+  4 13+ -4  1
Curve Equation t Generators 88725c1 [0,-1,1,-43,-102] 1 [8:1:1]
88725d (1 curve)	1	3+ 5+ 7+ 13+	1 3+ 5+ 7+ -1 13+  8 -4
Curve Equation t Generators 88725d1 [1,1,0,-26575,1642750] 1 [86:8:1]
88725e (4 curves)	1	3+ 5+ 7+ 13+	1 3+ 5+ 7+ -4 13+  2 -4
Curve Equation t Generators 88725e1 [1,1,0,-602150,-180095625] 2 [-2841227410:1063136793:6331625] 88725e2 [1,1,0,-623275,-166808000] 4 [-27752960:-150898520:50653] 88725e3 [1,1,0,961100,-875023625] 2 [11371710:-1222549699:1000] 88725e4 [1,1,0,-2545650,1392238125] 2 [13950:373275:8]
88725f (4 curves)	1	3+ 5+ 7+ 13+	1 3+ 5+ 7+ -4 13+ -6 -8
Curve Equation t Generators 88725f1 [1,1,0,-120500,3691875] 2 [-346:2201:1] 88725f2 [1,1,0,-1155625,-475571000] 4 [-5218:11483:8] 88725f3 [1,1,0,-416250,-1075204125] 2 [54807966:-1306053945:39304] 88725f4 [1,1,0,-18457000,-30528059375] 2 [-484054602:234753715:195112]
88725g (1 curve)	1	3+ 5+ 7+ 13+	-1 3+ 5+ 7+ -3 13+  4 -8
Curve Equation t Generators 88725g1 [1,1,1,-3755268,-2802468414] 1 [-817146:592190:729]
88725h (6 curves)	1	3+ 5+ 7+ 13+	-1 3+ 5+ 7+ -4 13+  6 -4
Curve Equation t Generators 88725h1 [1,1,1,4137,-20844] 2 [30:347:1] 88725h2 [1,1,1,-16988,-189844] 4 [-90:832:1] 88725h3 [1,1,1,-164863,25540406] 2 [291:1375:1] 88725h4 [1,1,1,-207113,-36313594] 4 [-259:325:1] 88725h5 [1,1,1,-143738,-58875094] 2 [23278:1232075:8] 88725h6 [1,1,1,-3312488,-2321869594] 2 [25390:1094251:8]
88725i (1 curve)	1	3+ 5+ 7+ 13+	2 3+ 5+ 7+  2 13+  0 -1
Curve Equation t Generators 88725i1 [0,-1,1,10730092,-43471041157] 1 [189980064595872592552539812480530579154:9657771146724456330521043106217365029175:57386376223153207306739888820586984]
88725j (1 curve)	1	3+ 5+ 7+ 13+	2 3+ 5+ 7+ -6 13+  4  1
Curve Equation t Generators 88725j1 [0,-1,1,-1513958,719864693] 1 [4245031110:30327772747:6859000]
88725k (2 curves)	0	3+ 5+ 7+ 13-	1 3+ 5+ 7+  0 13-  4 -2
Curve Equation t 88725k1 [1,1,0,-8375,-291000] 2 88725k2 [1,1,0,-19750,653125] 2
88725l (2 curves)	0	3+ 5+ 7+ 13-	1 3+ 5+ 7+  0 13- -8 -2
Curve Equation t 88725l1 [1,1,0,-319293900,-1930279663125] 2 88725l2 [1,1,0,-4934916275,-133433976749250] 2
88725m (2 curves)	0	3+ 5+ 7+ 13-	-1 3+ 5+ 7+  6 13-  2 -4
Curve Equation t 88725m1 [1,1,1,8687,-43594] 2 88725m2 [1,1,1,-35188,-394594] 2
88725n (2 curves)	0	3+ 5+ 7+ 13-	-2 3+ 5+ 7+  0 13- -2  1
Curve Equation t 88725n1 [0,-1,1,201392,396580368] 1 88725n2 [0,-1,1,-271677358,1723658019618] 1
88725o (2 curves)	0	3+ 5+ 7- 13+	0 3+ 5+ 7-  0 13+ -6  7
Curve Equation t 88725o1 [0,-1,1,9057,-479347] 1 88725o2 [0,-1,1,-306843,-65570542] 1
88725p (1 curve)	2	3+ 5+ 7- 13+	0 3+ 5+ 7- -1 13+ -7 -4
Curve Equation t Generators 88725p1 [0,-1,1,-445033,114586968] 1 [22:-10238:1]&[-4374:111471:8]
88725q (1 curve)	2	3+ 5+ 7- 13+	0 3+ 5+ 7- -4 13+ -4 -1
Curve Equation t Generators 88725q1 [0,-1,1,-7323,-252757] 1 [113:591:1]&[34741:6475240:1]
88725r (4 curves)	0	3+ 5+ 7- 13+	1 3+ 5+ 7-  0 13+ -2 -4
Curve Equation t 88725r1 [1,1,0,27375,1854000] 2 88725r2 [1,1,0,-162750,17634375] 4 88725r3 [1,1,0,-986625,-363819750] 2 88725r4 [1,1,0,-2380875,1412835000] 2
88725s (4 curves)	0	3+ 5+ 7- 13+	1 3+ 5+ 7-  0 13+ -2  8
Curve Equation t 88725s1 [1,1,0,-10650,396375] 2 88725s2 [1,1,0,-31775,-1695000] 4 88725s3 [1,1,0,73850,-10461875] 2 88725s4 [1,1,0,-475400,-126353625] 2
88725t (1 curve)	0	3+ 5+ 7- 13+	1 3+ 5+ 7-  3 13+  4  8
Curve Equation t 88725t1 [1,1,0,-22220,-1284135] 1
88725u (1 curve)	0	3+ 5+ 7- 13+	-1 3+ 5+ 7-  1 13+  8  4
Curve Equation t 88725u1 [1,1,1,-4491263,3631577906] 1
88725v (4 curves)	0	3+ 5+ 7- 13+	-1 3+ 5+ 7-  4 13+ -2  0
Curve Equation t 88725v1 [1,1,1,-4313813,-3416736094] 2 88725v2 [1,1,1,-7883938,3052330406] 4 88725v3 [1,1,1,29190437,23591534156] 2 88725v4 [1,1,1,-102080313,396604785156] 2
88725w (1 curve)	0	3+ 5+ 7- 13+	-2 3+ 5+ 7-  6 13+  4 -1
Curve Equation t 88725w1 [0,-1,1,-255858958,1580519295318] 1
88725x (2 curves)	1	3+ 5+ 7- 13-	1 3+ 5+ 7- -6 13-  2  4
Curve Equation t Generators 88725x1 [1,1,0,1468100,-103116125] 2 [168170:-69050185:1] 88725x2 [1,1,0,-5946775,-837188750] 2 [-150:7250:1]
88725y (2 curves)	1	3+ 5+ 7- 13-	-1 3+ 5+ 7-  0 13-  4  2
Curve Equation t Generators 88725y1 [1,1,1,-1415463,-632249844] 2 [1465:20267:1] 88725y2 [1,1,1,-3337838,1451604656] 2 [837960:9508889:512]
88725z (2 curves)	1	3+ 5+ 7- 13-	-1 3+ 5+ 7-  0 13- -8  2
Curve Equation t Generators 88725z1 [1,1,1,-1889313,-879324594] 2 [-836:11222:1] 88725z2 [1,1,1,-29200688,-60745858594] 2 [-3111:2122:1]
88725ba (2 curves)	1	3+ 5+ 7- 13-	2 3+ 5+ 7-  0 13- -2 -1
Curve Equation t Generators 88725ba1 [0,-1,1,1192,180143] 1 [50210:602869:1000] 88725ba2 [0,-1,1,-1607558,785045393] 1 [5818:1907:8]
88725bb (1 curve)	0	3+ 5- 7+ 13+	0 3+ 5- 7+ -1 13+  1 -4
Curve Equation t 88725bb1 [0,-1,1,190407,28385138] 1
88725bc (1 curve)	0	3+ 5- 7+ 13+	0 3+ 5- 7+  5 13+  7  8
Curve Equation t 88725bc1 [0,-1,1,-29293,-3196737] 1
88725bd (2 curves)	2	3+ 5- 7+ 13+	1 3+ 5- 7+  0 13+ -6 -2
Curve Equation t Generators 88725bd1 [1,1,0,-16565,-782400] 2 [-610:1995:8]&[-64:176:1] 88725bd2 [1,1,0,13010,-3237125] 2 [1470:17855:8]&[2302:38395:8]
88725be (2 curves)	0	3+ 5- 7+ 13+	1 3+ 5- 7+  6 13+  0 -2
Curve Equation t 88725be1 [1,1,0,-21000450,36606303375] 2 88725be2 [1,1,0,-3149825,96852162750] 2
88725bf (2 curves)	0	3+ 5- 7+ 13+	-1 3+ 5- 7+  6 13+ -4  6
Curve Equation t 88725bf1 [1,1,1,-76138,7795406] 2 88725bf2 [1,1,1,29487,27864156] 2
88725bg (1 curve)	2	3+ 5- 7+ 13+	-2 3+ 5- 7+ -3 13+  3 -2
Curve Equation t Generators 88725bg1 [0,-1,1,-498,4448] 1 [12:-8:1]&[6:40:1]
88725bh (1 curve)	1	3+ 5- 7- 13+	0 3+ 5- 7-  1 13+  1  4
Curve Equation t Generators 88725bh1 [0,-1,1,1127,12573] 1 [97:1012:1]
88725bi (1 curve)	1	3+ 5- 7- 13+	0 3+ 5- 7- -5 13+  7 -8
Curve Equation t Generators 88725bi1 [0,-1,1,-173,-1402] 1 [32:-158:1]
88725bj (1 curve)	1	3+ 5- 7- 13+	2 3+ 5- 7-  3 13+  3  2
Curve Equation t Generators 88725bj1 [0,-1,1,-84218,9436013] 1 [1354:329:8]
88725bk (1 curve)	0	3- 5+ 7+ 13+	0 3- 5+ 7+ -1 13+  3 -4
Curve Equation t 88725bk1 [0,1,1,36617,1433644] 1
88725bl (1 curve)	0	3- 5+ 7+ 13+	0 3- 5+ 7+  5 13+  3  2
Curve Equation t 88725bl1 [0,1,1,-5633,164519] 1
88725bm (4 curves)	0	3- 5+ 7+ 13+	1 3- 5+ 7+  0 13+ -2  4
Curve Equation t 88725bm1 [1,0,1,-986626,-316112977] 2 88725bm2 [1,0,1,-4556751,3446798773] 4 88725bm3 [1,0,1,5055124,16057578773] 2 88725bm4 [1,0,1,-71290626,231676651273] 2
88725bn (1 curve)	0	3- 5+ 7+ 13+	1 3- 5+ 7+ -3 13+ -8  1
Curve Equation t 88725bn1 [1,0,1,-8376,-1025477] 1
88725bo (1 curve)	0	3- 5+ 7+ 13+	1 3- 5+ 7+ -5 13+  4  5
Curve Equation t 88725bo1 [1,0,1,-14876,5325023] 1
88725bp (1 curve)	0	3- 5+ 7+ 13+	-2 3- 5+ 7+ -3 13+ -5 -8
Curve Equation t 88725bp1 [0,1,1,-238008,59654144] 1
88725bq (1 curve)	1	3- 5+ 7- 13+	0 3- 5+ 7-  1 13+  3  4
Curve Equation t Generators 88725bq1 [0,1,1,217,719] 1 [3:37:1]
88725br (1 curve)	1	3- 5+ 7- 13+	0 3- 5+ 7- -5 13+  3 -2
Curve Equation t Generators 88725br1 [0,1,1,-952033,365256844] 1 [-772:25312:1]
88725bs (1 curve)	1	3- 5+ 7- 13+	-1 3- 5+ 7-  3 13+ -8 -1
Curve Equation t Generators 88725bs1 [1,0,0,-1415463,-2251556958] 1 [126917:45149279:1]
88725bt (6 curves)	1	3- 5+ 7- 13+	-1 3- 5+ 7- -4 13+ -2  4
Curve Equation t Generators 88725bt1 [1,0,0,633662,1065511667] 2 [-649:19844:1] 88725bt2 [1,0,0,-12569463,16183089792] 4 [-3483:134829:1] 88725bt3 [1,0,0,-38447588,-71931925833] 4 [-4358:115579:1] 88725bt4 [1,0,0,-197941338,1071875917917] 2 [7707:-68166:1] 88725bt5 [1,0,0,86506787,-442421647708] 2 [76006:8859847:8] 88725bt6 [1,0,0,-577451963,-5340699691458] 2 [-110914:202157:8]
88725bu (1 curve)	1	3- 5+ 7- 13+	-1 3- 5+ 7-  5 13+  4 -5
Curve Equation t Generators 88725bu1 [1,0,0,-88,2417] 1 [-13:44:1]
88725bv (1 curve)	1	3- 5+ 7- 13+	2 3- 5+ 7-  3 13+ -5  8
Curve Equation t Generators 88725bv1 [0,1,1,-1408,26719] 1 [154:671:8]
88725bw (1 curve)	1	3- 5+ 7- 13+	-2 3- 5+ 7-  2 13+  4 -3
Curve Equation t Generators 88725bw1 [0,1,1,-111258,16305644] 1 [147:-1775:1]
88725bx (2 curves)	1	3- 5- 7+ 13+	0 3- 5- 7+  0 13+  6  7
Curve Equation t Generators 88725bx1 [0,1,1,226417,-59465506] 1 [514:13891:1] 88725bx2 [0,1,1,-7671083,-8211659881] 1 [93139:28412233:1]
88725by (1 curve)	1	3- 5- 7+ 13+	0 3- 5- 7+  1 13+ -1  4
Curve Equation t Generators 88725by1 [0,1,1,28167,1627994] 1 [108:-2438:1]
88725bz (1 curve)	1	3- 5- 7+ 13+	0 3- 5- 7+ -4 13+  4 -1
Curve Equation t Generators 88725bz1 [0,1,1,-183083,-31960756] 1 [55866:2482199:27]
88725ca (1 curve)	1	3- 5- 7+ 13+	0 3- 5- 7+ -5 13+ -7 -8
Curve Equation t Generators 88725ca1 [0,1,1,-4333,-183881] 1 [83:187:1]
88725cb (1 curve)	1	3- 5- 7+ 13+	1 3- 5- 7+  1 13+ -8  4
Curve Equation t Generators 88725cb1 [1,0,1,-179651,29052623] 1 [183:-1613:1]
88725cc (1 curve)	1	3- 5- 7+ 13+	-1 3- 5- 7+  3 13+ -4  8
Curve Equation t Generators 88725cc1 [1,0,0,-555513,-159405858] 1 [-429:255:1]
88725cd (1 curve)	1	3- 5- 7+ 13+	2 3- 5- 7+  6 13+ -4 -1
Curve Equation t Generators 88725cd1 [0,1,1,-10234358,12640060619] 1 [10586:301055:8]
88725ce (1 curve)	1	3- 5- 7+ 13+	-2 3- 5- 7+  3 13+ -3  2
Curve Equation t Generators 88725ce1 [0,1,1,-2105458,1175290744] 1 [1408:31687:1]
88725cf (2 curves)	0	3- 5- 7- 13+	0 3- 5- 7-  0 13+  6 -7
Curve Equation t 88725cf1 [0,1,1,38264417,-130798773881] 3 88725cf2 [0,1,1,-1296413083,-18035831105756] 1
88725cg (1 curve)	0	3- 5- 7- 13+	0 3- 5- 7- -1 13+ -1 -4
Curve Equation t 88725cg1 [0,1,1,4760167,3557662619] 1
88725ch (1 curve)	0	3- 5- 7- 13+	0 3- 5- 7-  4 13+  4  1
Curve Equation t 88725ch1 [0,1,1,-1083,-14881] 1
88725ci (1 curve)	0	3- 5- 7- 13+	0 3- 5- 7-  5 13+ -7  8
Curve Equation t 88725ci1 [0,1,1,-732333,-401056756] 1
88725cj (1 curve)	2	3- 5- 7- 13+	1 3- 5- 7- -3 13+ -4 -8
Curve Equation t Generators 88725cj1 [1,0,1,-93881701,-350120788327] 1 [-44842:43711:8]&[-5573:4061:1]
88725ck (2 curves)	0	3- 5- 7- 13+	1 3- 5- 7-  6 13+  4  6
Curve Equation t 88725ck1 [1,0,1,-3046,62363] 2 88725ck2 [1,0,1,1179,222913] 2
88725cl (2 curves)	0	3- 5- 7- 13+	-1 3- 5- 7-  0 13+  6 -2
Curve Equation t 88725cl1 [1,0,0,-414138,-96971733] 2 88725cl2 [1,0,0,325237,-405291108] 2
88725cm (1 curve)	2	3- 5- 7- 13+	-1 3- 5- 7- -1 13+ -8 -4
Curve Equation t Generators 88725cm1 [1,0,0,-1063,13142] 1 [-37:65:1]&[2:104:1]
88725cn (2 curves)	0	3- 5- 7- 13+	-1 3- 5- 7-  6 13+  0 -2
Curve Equation t 88725cn1 [1,0,0,-840018,292850427] 2 88725cn2 [1,0,0,-125993,774817302] 2
88725co (1 curve)	0	3- 5- 7- 13+	2 3- 5- 7- -3 13+ -3 -2
Curve Equation t 88725co1 [0,1,1,-12458,531119] 1
88725cp (1 curve)	2	3- 5- 7- 13+	-2 3- 5- 7- -6 13+ -4  1
Curve Equation t Generators 88725cp1 [0,1,1,-60558,5734694] 1 [264:-2867:1]&[173:682:1]

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