Cremona's table of elliptic curves

38025 = 3² · 5² · 13²

Class	r	Atkin-Lehner	Eigenvalues
38025a (2 curves)	1	3+ 5+ 13+	0 3+ 5+  1  0 13+  0  8
Curve Equation t Generators 38025a1 [0,0,1,0,892531] 1 [-95:187:1] 38025a2 [0,0,1,0,-24098344] 1 [2061690:11993008:6859]
38025b (2 curves)	1	3+ 5+ 13+	0 3+ 5+ -1  0 13+  0 -8
Curve Equation t Generators 38025b1 [0,0,1,0,406] 1 [10:37:1] 38025b2 [0,0,1,0,-10969] 1 [210:671:8]
38025c (2 curves)	1	3+ 5+ 13+	0 3+ 5+ -1  3 13+  3  4
Curve Equation t Generators 38025c1 [0,0,1,-177450,28904281] 1 [-65:6337:1] 38025c2 [0,0,1,456300,153858656] 1 [33540:1482943:64]
38025d (2 curves)	1	3+ 5+ 13+	0 3+ 5+ -1 -3 13+ -3  4
Curve Equation t Generators 38025d1 [0,0,1,50700,-5698469] 1 [1885:82387:1] 38025d2 [0,0,1,-1597050,-780415594] 1 [16770:570371:8]
38025e (2 curves)	1	3+ 5+ 13+	0 3+ 5+  4  0 13+  0 -7
Curve Equation t Generators 38025e1 [0,0,1,0,132031] 1 [29:395:1] 38025e2 [0,0,1,0,-3564844] 1 [16022906:408088831:24389]
38025f (2 curves)	1	3+ 5+ 13+	0 3+ 5+ -4  0 13+  0  7
Curve Equation t Generators 38025f1 [0,0,1,0,290072656] 1 [113362:13495167:8] 38025f2 [0,0,1,0,-7831961719] 1 [20651760243429698242:-2455481618834208212175:1456808605353928]
38025g (2 curves)	1	3+ 5+ 13+	0 3+ 5+  5  0 13+  0  1
Curve Equation t Generators 38025g1 [0,0,1,0,2746] 1 [-14:1:1] 38025g2 [0,0,1,0,-74149] 1 [115374:35699:2744]
38025h (1 curve)	1	3+ 5+ 13+	1 3+ 5+  2 -1 13+ -4  0
Curve Equation t Generators 38025h1 [1,-1,0,-12,1] 1 [0:1:1]
38025i (2 curves)	1	3+ 5+ 13+	1 3+ 5+  2 -4 13+ -4 -6
Curve Equation t Generators 38025i1 [1,-1,0,-102192,-13988909] 2 [836436:95172407:64] 38025i2 [1,-1,0,-1686567,-842617034] 2 [104754180:11872958683:8000]
38025j (1 curve)	1	3+ 5+ 13+	1 3+ 5+ -2 -1 13+  4  0
Curve Equation t Generators 38025j1 [1,-1,0,-18537,125126] 1 [2030:26363:8]
38025k (1 curve)	1	3+ 5+ 13+	-1 3+ 5+  2  1 13+  4  0
Curve Equation t Generators 38025k1 [1,-1,1,-110,82] 1 [13:20:1]
38025l (2 curves)	1	3+ 5+ 13+	-1 3+ 5+  2  4 13+  4 -6
Curve Equation t Generators 38025l1 [1,-1,1,-919730,378620272] 2 [-770:25481:1] 38025l2 [1,-1,1,-15179105,22765839022] 2 [7355:552163:1]
38025m (1 curve)	1	3+ 5+ 13+	-1 3+ 5+ -2  1 13+ -4  0
Curve Equation t Generators 38025m1 [1,-1,1,-2060,-3948] 1 [-42:105:1]
38025n (2 curves)	0	3+ 5+ 13-	1 3+ 5+  4  0 13-  4 -4
Curve Equation t 38025n1 [1,-1,0,183,7216] 2 38025n2 [1,-1,0,-4692,119341] 2
38025o (2 curves)	0	3+ 5+ 13-	1 3+ 5+ -4  0 13- -4  4
Curve Equation t 38025o1 [1,-1,0,278058,-430827409] 2 38025o2 [1,-1,0,-7136817,-7007821534] 2
38025p (2 curves)	0	3+ 5+ 13-	-1 3+ 5+  4  0 13- -4 -4
Curve Equation t 38025p1 [1,-1,1,1645,-196478] 2 38025p2 [1,-1,1,-42230,-3179978] 2
38025q (2 curves)	0	3+ 5+ 13-	-1 3+ 5+ -4  0 13-  4  4
Curve Equation t 38025q1 [1,-1,1,30895,15946272] 2 38025q2 [1,-1,1,-792980,259813272] 2
38025r (2 curves)	0	3+ 5- 13+	0 3+ 5-  4  0 13+  0  7
Curve Equation t 38025r1 [0,0,1,0,2320581] 1 38025r2 [0,0,1,0,-62655694] 1
38025s (2 curves)	2	3+ 5- 13+	0 3+ 5- -4  0 13+  0 -7
Curve Equation t Generators 38025s1 [0,0,1,0,1056] 3 [-10:7:1]&[-78:87:8] 38025s2 [0,0,1,0,-28519] 1 [258:563:8]&[39:175:1]
38025t (2 curves)	0	3+ 5- 13+	0 3+ 5- -5  0 13+  0  1
Curve Equation t 38025t1 [0,0,1,0,343281] 1 38025t2 [0,0,1,0,-9268594] 1
38025u (1 curve)	0	3+ 5- 13+	1 3+ 5-  2  1 13+  4  0
Curve Equation t 38025u1 [1,-1,0,-51492,-544959] 1
38025v (1 curve)	0	3+ 5- 13+	1 3+ 5- -2  1 13+ -4  0
Curve Equation t 38025v1 [1,-1,0,-2742,7541] 1
38025w (1 curve)	0	3+ 5- 13+	-1 3+ 5-  2 -1 13+ -4  0
Curve Equation t 38025w1 [1,-1,1,-463430,15177322] 1
38025x (1 curve)	2	3+ 5- 13+	-1 3+ 5- -2 -1 13+  4  0
Curve Equation t Generators 38025x1 [1,-1,1,-305,-178] 1 [-6:-35:1]&[-2:21:1]
38025y (2 curves)	0	3- 5+ 13+	0 3- 5+  1 -6 13+  0 -4
Curve Equation t 38025y1 [0,0,1,11204700,-7496369969] 1 38025y2 [0,0,1,-122263050,642291370906] 1
38025z (2 curves)	0	3- 5+ 13+	0 3- 5+ -1  6 13+  0  4
Curve Equation t 38025z1 [0,0,1,66300,-3412094] 1 38025z2 [0,0,1,-723450,292349281] 1
38025ba (2 curves)	0	3- 5+ 13+	0 3- 5+ -4 -6 13+  6  4
Curve Equation t 38025ba1 [0,0,1,-5070,-129074] 1 38025ba2 [0,0,1,-81120,8867641] 1
38025bb (8 curves)	0	3- 5+ 13+	1 3- 5+  0  4 13+  2  4
Curve Equation t 38025bb1 [1,-1,0,-4183542,-3292403009] 2 38025bb2 [1,-1,0,-4373667,-2976605384] 4 38025bb3 [1,-1,0,7984458,-16755914759] 2 38025bb4 [1,-1,0,-19773792,31011470491] 4 38025bb5 [1,-1,0,23004333,146811854866] 2 38025bb6 [1,-1,0,-308953917,2090263140616] 4 38025bb7 [1,-1,0,-301539042,2195354163991] 2 38025bb8 [1,-1,0,-4943250792,133773808843741] 2
38025bc (8 curves)	0	3- 5+ 13+	1 3- 5+  0 -4 13+  2 -4
Curve Equation t 38025bc1 [1,-1,0,-792,-1381509] 2 38025bc2 [1,-1,0,-190917,-31611384] 4 38025bc3 [1,-1,0,-381042,41966991] 4 38025bc4 [1,-1,0,-3042792,-2042183259] 2 38025bc5 [1,-1,0,1330083,314035866] 2 38025bc6 [1,-1,0,-5134167,4476632616] 4 38025bc7 [1,-1,0,-4183542,6184905741] 2 38025bc8 [1,-1,0,-82134792,286529921991] 2
38025bd (1 curve)	0	3- 5+ 13+	1 3- 5+ -1 -1 13+ -7  0
Curve Equation t 38025bd1 [1,-1,0,455508,-860247959] 1
38025be (2 curves)	0	3- 5+ 13+	1 3- 5+ -2  2 13+ -7 -6
Curve Equation t 38025be1 [1,-1,0,-381042,-91500759] 1 38025be2 [1,-1,0,-2852667,10311568866] 1
38025bf (1 curve)	0	3- 5+ 13+	1 3- 5+  3 -1 13+  5  8
Curve Equation t 38025bf1 [1,-1,0,-69237,7311006] 1
38025bg (1 curve)	0	3- 5+ 13+	1 3- 5+  3 -2 13+  2  1
Curve Equation t 38025bg1 [1,-1,0,-3346992,-3516294209] 1
38025bh (2 curves)	0	3- 5+ 13+	1 3- 5+ -4  2 13+  2  6
Curve Equation t 38025bh1 [1,-1,0,-38817,-616784] 2 38025bh2 [1,-1,0,151308,-4989659] 2
38025bi (1 curve)	0	3- 5+ 13+	1 3- 5+ -4  5 13+  2 -6
Curve Equation t 38025bi1 [1,-1,0,-14832,698881] 1
38025bj (2 curves)	0	3- 5+ 13+	-1 3- 5+  2 -2 13+ -7  6
Curve Equation t 38025bj1 [1,-1,1,-2255,-41128] 1 38025bj2 [1,-1,1,-16880,4697372] 1
38025bk (1 curve)	0	3- 5+ 13+	-1 3- 5+ -3  2 13+  2 -1
Curve Equation t 38025bk1 [1,-1,1,-19805,-1595928] 1
38025bl (1 curve)	0	3- 5+ 13+	-1 3- 5+  4 -5 13+  2  6
Curve Equation t 38025bl1 [1,-1,1,-2506640,1527921672] 1
38025bm (4 curves)	0	3- 5+ 13+	-1 3- 5+ -4  4 13+  2  0
Curve Equation t 38025bm1 [1,-1,1,18220,2012222] 2 38025bm2 [1,-1,1,-171905,23686472] 4 38025bm3 [1,-1,1,-742280,-222715528] 2 38025bm4 [1,-1,1,-2643530,1654958972] 2
38025bn (1 curve)	0	3- 5+ 13+	2 3- 5+  0  2 13+ -4  5
Curve Equation t 38025bn1 [0,0,1,32955,1749361] 1
38025bo (1 curve)	0	3- 5+ 13+	2 3- 5+ -5 -2 13+  2  0
Curve Equation t 38025bo1 [0,0,1,-1153425,-491784719] 1
38025bp (1 curve)	2	3- 5+ 13+	-2 3- 5+  0 -2 13+ -4 -5
Curve Equation t Generators 38025bp1 [0,0,1,195,796] 1 [-1:24:1]&[4:-41:1]
38025bq (1 curve)	0	3- 5+ 13+	-2 3- 5+ -1  5 13+ -7  6
Curve Equation t 38025bq1 [0,0,1,-2522325,2422261156] 1
38025br (2 curves)	0	3- 5+ 13+	-2 3- 5+  2  2 13+  2  0
Curve Equation t 38025br1 [0,0,1,-149565,-20495264] 1 38025br2 [0,0,1,-19329375,32709553906] 1
38025bs (1 curve)	0	3- 5+ 13+	-2 3- 5+  3 -1 13+ -1  2
Curve Equation t 38025bs1 [0,0,1,-7237425,-7695473094] 1
38025bt (2 curves)	0	3- 5+ 13+	-2 3- 5+ -3  2 13+  2  5
Curve Equation t 38025bt1 [0,0,1,2535,-216954] 1 38025bt2 [0,0,1,-316875,70372656] 1
38025bu (1 curve)	2	3- 5+ 13+	-2 3- 5+ -3 -5 13+  5 -2
Curve Equation t Generators 38025bu1 [0,0,1,-12675,5011906] 1 [-185:1012:1]&[65:-2113:1]
38025bv (1 curve)	0	3- 5+ 13+	-2 3- 5+  5  2 13+  2  0
Curve Equation t 38025bv1 [0,0,1,-6825,-223844] 1
38025bw (1 curve)	1	3- 5+ 13-	0 3- 5+  3 -3 13- -3  0
Curve Equation t Generators 38025bw1 [0,0,1,7800,-353844] 1 [260:4387:1]
38025bx (1 curve)	1	3- 5+ 13-	0 3- 5+ -3  3 13- -3  0
Curve Equation t Generators 38025bx1 [0,0,1,1318200,-777394719] 1 [2535:137312:1]
38025by (2 curves)	1	3- 5+ 13-	1 3- 5+ -2  0 13- -2  2
Curve Equation t Generators 38025by1 [1,-1,0,-3841317,-3620596784] 2 [45944867056:936767700448:18191447] 38025by2 [1,-1,0,-65631942,-204625499909] 2 [112999101617846566:-28359841504730377847:1770682685192]
38025bz (1 curve)	1	3- 5+ 13-	1 3- 5+ -5 -3 13- -5 -4
Curve Equation t Generators 38025bz1 [1,-1,0,14418,-61619] 1 [692:19427:64]
38025ca (2 curves)	1	3- 5+ 13-	-1 3- 5+  2  0 13- -2 -2
Curve Equation t Generators 38025ca1 [1,-1,1,-22730,-1642728] 2 [218:1821:1] 38025ca2 [1,-1,1,-388355,-93048978] 2 [2093:89835:1]
38025cb (1 curve)	1	3- 5+ 13-	-1 3- 5+  5  3 13- -5  4
Curve Equation t Generators 38025cb1 [1,-1,1,85,-48] 1 [23:105:1]
38025cc (2 curves)	1	3- 5+ 13-	2 3- 5+  2  0 13- -2  4
Curve Equation t Generators 38025cc1 [0,0,1,-362505,84005041] 1 [-279369844:3312445673:438976] 38025cc2 [0,0,1,-4119375,-3190799219] 1 [-2620974044812736127382523176962113309572:-8803697825148690568301676106658951217501:2138542344054850410466915836425963968]
38025cd (2 curves)	1	3- 5+ 13-	-2 3- 5+ -2  0 13- -2 -4
Curve Equation t Generators 38025cd1 [0,0,1,-2145,38236] 1 [26:6:1] 38025cd2 [0,0,1,-24375,-1452344] 1 [-91:110:1]
38025ce (1 curve)	1	3- 5- 13+	0 3- 5-  1 -1 13+  1  4
Curve Equation t Generators 38025ce1 [0,0,1,-5070,-1798794] 1 [260:-3803:1]
38025cf (1 curve)	1	3- 5- 13+	0 3- 5- -1 -1 13+ -1  4
Curve Equation t Generators 38025cf1 [0,0,1,-126750,-224849219] 1 [7825:691312:1]
38025cg (2 curves)	1	3- 5- 13+	0 3- 5-  4 -6 13+ -6  4
Curve Equation t Generators 38025cg1 [0,0,1,-126750,-16134219] 1 [-1950:4221:8] 38025cg2 [0,0,1,-2028000,1108455156] 1 [-9438:344925:8]
38025ch (1 curve)	1	3- 5- 13+	1 3- 5-  3  2 13+ -2 -1
Curve Equation t Generators 38025ch1 [1,-1,0,-792,-12609] 1 [114:1113:1]
38025ci (1 curve)	1	3- 5- 13+	1 3- 5- -4 -5 13+ -2  6
Curve Equation t Generators 38025ci1 [1,-1,0,-62665992,190927543041] 1 [200334:30178119:8]
38025cj (1 curve)	1	3- 5- 13+	-1 3- 5-  1 -1 13+  7  0
Curve Equation t Generators 38025cj1 [1,-1,1,18220,-6885628] 1 [504:11155:1]
38025ck (1 curve)	1	3- 5- 13+	-1 3- 5- -3 -1 13+ -5  8
Curve Equation t Generators 38025ck1 [1,-1,1,-1730930,912144822] 1 [920:9426:1]
38025cl (1 curve)	1	3- 5- 13+	-1 3- 5- -3 -2 13+ -2  1
Curve Equation t Generators 38025cl1 [1,-1,1,-133880,-28103578] 1 [91110:27455146:1]
38025cm (1 curve)	1	3- 5- 13+	-1 3- 5-  4  5 13+ -2 -6
Curve Equation t Generators 38025cm1 [1,-1,1,-370805,86989322] 1 [819:17815:1]
38025cn (1 curve)	1	3- 5- 13+	2 3- 5-  0 -2 13+  4 -5
Curve Equation t Generators 38025cn1 [0,0,1,4875,99531] 1 [3925470:53180243:27000]
38025co (2 curves)	1	3- 5- 13+	2 3- 5- -2  2 13+ -2  0
Curve Equation t Generators 38025co1 [0,0,1,-773175,261676431] 1 [109590:737:216] 38025co2 [0,0,1,-3739125,-2561907969] 1 [-1731922442250:-13172421562057:1971935064]
38025cp (2 curves)	1	3- 5- 13+	2 3- 5-  3  2 13+ -2  5
Curve Equation t Generators 38025cp1 [0,0,1,-12675,562981] 1 [722:3137:8] 38025cp2 [0,0,1,63375,-27119219] 1 [207714347601898:-8301121195793747:132495001192]
38025cq (1 curve)	1	3- 5- 13+	-2 3- 5-  0  2 13+  4  5
Curve Equation t Generators 38025cq1 [0,0,1,823875,218670156] 1 [0:14787:1]
38025cr (2 curves)	0	3- 5- 13-	1 3- 5-  0  2 13-  0  6
Curve Equation t 38025cr1 [1,-1,0,-207,976] 2 38025cr2 [1,-1,0,-3132,68251] 2
38025cs (2 curves)	0	3- 5- 13-	1 3- 5-  0 -2 13-  0 -6
Curve Equation t 38025cs1 [1,-1,0,-875367,254032416] 2 38025cs2 [1,-1,0,-13233492,18531699291] 2
38025ct (1 curve)	0	3- 5- 13-	1 3- 5- -5  3 13-  5  4
Curve Equation t 38025ct1 [1,-1,0,2133,-3834] 1
38025cu (2 curves)	0	3- 5- 13-	-1 3- 5-  0  2 13-  0  6
Curve Equation t 38025cu1 [1,-1,1,-5180,116822] 2 38025cu2 [1,-1,1,-78305,8453072] 2
38025cv (2 curves)	0	3- 5- 13-	-1 3- 5-  0 -2 13-  0 -6
Curve Equation t 38025cv1 [1,-1,1,-35015,2039262] 2 38025cv2 [1,-1,1,-529340,148359462] 2
38025cw (1 curve)	0	3- 5- 13-	-1 3- 5-  5 -3 13-  5 -4
Curve Equation t 38025cw1 [1,-1,1,360445,-7341928] 1
38025cx (2 curves)	0	3- 5- 13-	2 3- 5-  2  0 13-  2 -4
Curve Equation t 38025cx1 [0,0,1,-975,-11619] 1 38025cx2 [0,0,1,-53625,4779531] 1
38025cy (2 curves)	0	3- 5- 13-	2 3- 5- -3  5 13-  3 -6
Curve Equation t 38025cy1 [0,0,1,-5655,-163719] 1 38025cy2 [0,0,1,35295,368631] 1
38025cz (2 curves)	0	3- 5- 13-	2 3- 5- -3 -5 13- -3  6
Curve Equation t 38025cz1 [0,0,1,-23892375,-44961261719] 1 38025cz2 [0,0,1,149121375,101235357031] 1
38025da (2 curves)	0	3- 5- 13-	-2 3- 5- -2  0 13-  2  4
Curve Equation t 38025da1 [0,0,1,-164775,-25526394] 1 38025da2 [0,0,1,-9062625,10500630156] 1
38025db (2 curves)	0	3- 5- 13-	-2 3- 5-  3  5 13- -3 -6
Curve Equation t 38025db1 [0,0,1,-141375,-20464844] 1 38025db2 [0,0,1,882375,46078906] 1
38025dc (2 curves)	0	3- 5- 13-	-2 3- 5-  3 -5 13-  3  6
Curve Equation t 38025dc1 [0,0,1,-955695,-359690094] 1 38025dc2 [0,0,1,5964855,809882856] 1

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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