Cremona's table of elliptic curves

63525 = 3 · 5² · 7 · 11²

Class	r	Atkin-Lehner	Eigenvalues
63525a (2 curves)	1	3+ 5+ 7+ 11+	1 3+ 5+ 7+ 11+ -4 -4  4
Curve Equation t Generators 63525a1 [1,1,0,-548275,-149450000] 2 [-13200:45200:27] 63525a2 [1,1,0,-1550650,551210125] 2 [380:3935:1]
63525b (1 curve)	1	3+ 5+ 7+ 11+	2 3+ 5+ 7+ 11+  7  3 -3
Curve Equation t Generators 63525b1 [0,-1,1,-148958,20590943] 1 [-9116:399125:64]
63525c (1 curve)	0	3+ 5+ 7+ 11-	0 3+ 5+ 7+ 11- -1  1 -7
Curve Equation t 63525c1 [0,-1,1,-1039793333,12904832992193] 1
63525d (2 curves)	0	3+ 5+ 7+ 11-	0 3+ 5+ 7+ 11-  4  3  2
Curve Equation t 63525d1 [0,-1,1,-22183,397143] 1 63525d2 [0,-1,1,-1020433,-396407232] 1
63525e (1 curve)	0	3+ 5+ 7+ 11-	0 3+ 5+ 7+ 11- -4 -5 -1
Curve Equation t 63525e1 [0,-1,1,1647617,-425247582] 1
63525f (4 curves)	0	3+ 5+ 7+ 11-	1 3+ 5+ 7+ 11- -2 -2  4
Curve Equation t 63525f1 [1,1,0,-10650,3066375] 2 63525f2 [1,1,0,-388775,92682000] 4 63525f3 [1,1,0,-615650,-28242375] 2 63525f4 [1,1,0,-6211900,5956568875] 2
63525g (1 curve)	0	3+ 5+ 7+ 11-	1 3+ 5+ 7+ 11-  5 -8  1
Curve Equation t 63525g1 [1,1,0,-1575,661500] 1
63525h (1 curve)	0	3+ 5+ 7+ 11-	1 3+ 5+ 7+ 11-  7  4  1
Curve Equation t 63525h1 [1,1,0,75,180] 1
63525i (6 curves)	2	3+ 5+ 7+ 11-	-1 3+ 5+ 7+ 11- -2 -6 -4
Curve Equation t Generators 63525i1 [1,1,1,2962,14906] 2 [-18:731:8]&[6:178:1] 63525i2 [1,1,1,-12163,105656] 4 [-70:822:1]&[-370:6231:8] 63525i3 [1,1,1,-118038,-15563844] 2 [-191:338:1]&[-1490:1191:8] 63525i4 [1,1,1,-148288,21885656] 4 [-390:4732:1]&[70:36261:8] 63525i5 [1,1,1,-102913,35588906] 2 [-375:4837:1]&[422:43829:8] 63525i6 [1,1,1,-2371663,1404824906] 2 [895:-773:1]&[-830:53352:1]
63525j (1 curve)	0	3+ 5+ 7+ 11-	-2 3+ 5+ 7+ 11- -2  1  7
Curve Equation t 63525j1 [0,-1,1,-382158,-91100032] 1
63525k (2 curves)	0	3+ 5+ 7- 11+	-1 3+ 5+ 7- 11+  4  4 -4
Curve Equation t 63525k1 [1,1,1,-66341338,198586243406] 2 63525k2 [1,1,1,-187628713,-734598819844] 2
63525l (1 curve)	0	3+ 5+ 7- 11+	-2 3+ 5+ 7- 11+ -7 -3  3
Curve Equation t 63525l1 [0,-1,1,-18023958,-27334449682] 1
63525m (2 curves)	1	3+ 5+ 7- 11-	0 3+ 5+ 7- 11- -4  3  1
Curve Equation t Generators 63525m1 [0,-1,1,-4033,5715093] 1 [477:10587:1] 63525m2 [0,-1,1,-2545033,1563665718] 1 [8106:39321:8]
63525n (2 curves)	1	3+ 5+ 7- 11-	0 3+ 5+ 7- 11- -4 -3 -2
Curve Equation t Generators 63525n1 [0,-1,1,-183,-232] 1 [-4:20:1] 63525n2 [0,-1,1,-8433,300893] 1 [53:3:1]
63525o (2 curves)	1	3+ 5+ 7- 11-	0 3+ 5+ 7- 11-  5  3 -5
Curve Equation t Generators 63525o1 [0,-1,1,-5243,-123157] 1 [-29:60:1] 63525o2 [0,-1,1,-114143,14866928] 1 [-62:4658:1]
63525p (4 curves)	1	3+ 5+ 7- 11-	1 3+ 5+ 7- 11-  6  2 -4
Curve Equation t Generators 63525p1 [1,1,0,-9551500,-780348125] 2 [92377033144170:726317673780515:29189662039] 63525p2 [1,1,0,-108786625,-435727901000] 4 [3150688056620806620945340:-113595022171916129766358070:249668667442047795661] 63525p3 [1,1,0,-65907250,-782664924125] 2 [231980237896264004187260388982462131065677689720:-8897081890491746665061617489835846317377442172935:19087707737171700309536480363384765706300928] 63525p4 [1,1,0,-1739428000,-27923449559375] 2 [-2149087335980200:1087892108648225:89254693709]
63525q (4 curves)	1	3+ 5+ 7- 11-	1 3+ 5+ 7- 11- -6  2  8
Curve Equation t Generators 63525q1 [1,1,0,-7625,-246000] 2 [196:2318:1] 63525q2 [1,1,0,-22750,1009375] 4 [-810:12505:8] 63525q3 [1,1,0,52875,6378750] 2 [50:-3050:1] 63525q4 [1,1,0,-340375,76286500] 2 [6582:147233:8]
63525r (6 curves)	1	3+ 5+ 7- 11-	-1 3+ 5+ 7- 11- -2  2 -4
Curve Equation t Generators 63525r1 [1,1,1,105812,3848450156] 4 [-1270:41472:1] 63525r2 [1,1,1,-36209313,82361750406] 4 [-28530:3275211:8] 63525r3 [1,1,1,-76971188,-137100184594] 2 [-37330:2795611:8] 63525r4 [1,1,1,-576489438,5327401203906] 4 [890100:148043:64] 63525r5 [1,1,1,-573630813,5382852811656] 2 [433389060:268196250791:140608] 63525r6 [1,1,1,-9223830063,340965280222656] 2 [1380513641940:-689760358189:24897088]
63525s (1 curve)	1	3+ 5+ 7- 11-	-1 3+ 5+ 7- 11- -5  8 -1
Curve Equation t Generators 63525s1 [1,1,1,-190638,-881409594] 1 [5414240752272:344898537303539:1284365503]
63525t (1 curve)	1	3+ 5+ 7- 11-	-1 3+ 5+ 7- 11- -7 -4 -1
Curve Equation t Generators 63525t1 [1,1,1,9012,-194424] 1 [26:228:1]
63525u (1 curve)	1	3+ 5+ 7- 11-	-2 3+ 5+ 7- 11-  3 -1 -7
Curve Equation t Generators 63525u1 [0,-1,1,-932708,300286568] 1 [158:12523:1]
63525v (2 curves)	1	3+ 5+ 7- 11-	-2 3+ 5+ 7- 11- -6 -7  5
Curve Equation t Generators 63525v1 [0,-1,1,-27044508,-63385903582] 1 [20882:2911562:1] 63525v2 [0,-1,1,-81040758,5308802648918] 1 [344478082:58948683487:17576]
63525w (1 curve)	0	3+ 5- 7+ 11+	0 3+ 5- 7+ 11+  1 -5  1
Curve Equation t 63525w1 [0,-1,1,-54083,-3791932] 1
63525x (1 curve)	0	3+ 5- 7+ 11+	0 3+ 5- 7+ 11+  6 -5  1
Curve Equation t 63525x1 [0,-1,1,110917,4623068] 1
63525y (2 curves)	0	3+ 5- 7+ 11+	1 3+ 5- 7+ 11+  2  8 -4
Curve Equation t 63525y1 [1,1,0,-121200,11860875] 2 63525y2 [1,1,0,-1791825,922351500] 2
63525z (2 curves)	1	3+ 5- 7+ 11-	-1 3+ 5- 7+ 11- -2  4  6
Curve Equation t Generators 63525z1 [1,1,1,-54513,-4764594] 2 [38670:336313:125] 63525z2 [1,1,1,21112,-16864594] 2 [1010:31682:1]
63525ba (2 curves)	1	3+ 5- 7+ 11-	-1 3+ 5- 7+ 11-  4 -2  0
Curve Equation t Generators 63525ba1 [1,1,1,-122878,16422506] 2 [391:5128:1] 63525ba2 [1,1,1,-204553,-8243344] 2 [-370:8651:8]
63525bb (1 curve)	1	3+ 5- 7- 11+	0 3+ 5- 7- 11+ -1  5 -1
Curve Equation t Generators 63525bb1 [0,-1,1,-6544083,5073237443] 1 [-2097:97828:1]
63525bc (1 curve)	1	3+ 5- 7- 11+	0 3+ 5- 7- 11+ -6  5 -1
Curve Equation t Generators 63525bc1 [0,-1,1,917,-3807] 1 [186:1371:8]
63525bd (2 curves)	1	3+ 5- 7- 11+	-1 3+ 5- 7- 11+ -2 -8  4
Curve Equation t Generators 63525bd1 [1,1,1,-14665263,-15860150844] 2 [36942:958479:8] 63525bd2 [1,1,1,-216810888,-1228733900844] 2 [1008942:355242571:8]
63525be (2 curves)	0	3+ 5- 7- 11-	-1 3+ 5- 7- 11-  0 -6  0
Curve Equation t 63525be1 [1,1,1,-160388,-12780844] 2 63525be2 [1,1,1,-2202263,-1258324594] 2
63525bf (2 curves)	0	3+ 5- 7- 11-	-2 3+ 5- 7- 11- -1  3 -5
Curve Equation t 63525bf1 [0,-1,1,-105240758,415585826468] 1 63525bf2 [0,-1,1,-204333708,-480858845182] 1
63525bg (1 curve)	0	3- 5+ 7+ 11+	0 3- 5+ 7+ 11+  1 -5 -1
Curve Equation t 63525bg1 [0,1,1,-261763,40481194] 1
63525bh (1 curve)	1	3- 5+ 7+ 11-	1 3- 5+ 7+ 11- -5  7 -6
Curve Equation t Generators 63525bh1 [1,0,1,-80501,8805773] 1 [-9:3091:1]
63525bi (4 curves)	1	3- 5+ 7+ 11-	-1 3- 5+ 7+ 11- -2  6 -4
Curve Equation t Generators 63525bi1 [1,0,0,-33338,1865667] 4 [157:634:1] 63525bi2 [1,0,0,-169463,-25223208] 4 [6438:148515:8] 63525bi3 [1,0,0,148162,-108758583] 2 [3356796:148077227:1728] 63525bi4 [1,0,0,-2665088,-1674831333] 2 [18438:523047:8]
63525bj (6 curves)	1	3- 5+ 7+ 11-	-1 3- 5+ 7+ 11- -2 -6  4
Curve Equation t Generators 63525bj1 [1,0,0,-801688,-276349633] 2 [9882491:-393374158:4913] 63525bj2 [1,0,0,-816813,-265384008] 4 [1397:35639:1] 63525bj3 [1,0,0,771312,-1172203383] 2 [8375048:269349701:6859] 63525bj4 [1,0,0,-2646938,1343295867] 4 [-749:54280:1] 63525bj5 [1,0,0,5505437,7987481492] 2 [197:95189:1] 63525bj6 [1,0,0,-40081313,97661942742] 2 [-2927:437245:1]
63525bk (1 curve)	1	3- 5+ 7+ 11-	-1 3- 5+ 7+ 11- -7 -3 -2
Curve Equation t Generators 63525bk1 [1,0,0,9012,-1818783] 1 [131:1205:1]
63525bl (2 curves)	1	3- 5+ 7+ 11-	2 3- 5+ 7+ 11-  1 -3 -5
Curve Equation t Generators 63525bl1 [0,1,1,-8173348,-3850140101] 1 [-7814:452705:8] 63525bl2 [0,1,1,-2631018958,51942966270619] 1 [26987895325970:11907736675549:912673000]
63525bm (1 curve)	1	3- 5+ 7+ 11-	2 3- 5+ 7+ 11-  2  3  4
Curve Equation t Generators 63525bm1 [0,1,1,-37308,2514419] 1 [3160538:7920775:39304]
63525bn (1 curve)	1	3- 5+ 7+ 11-	2 3- 5+ 7+ 11- -2 -3  5
Curve Equation t Generators 63525bn1 [0,1,1,25088342,-47822094281] 1 [1244794:491275121:8]
63525bo (1 curve)	1	3- 5+ 7+ 11-	-2 3- 5+ 7+ 11-  6  7 -8
Curve Equation t Generators 63525bo1 [0,1,1,-2118508,1182079894] 1 [524:-14702:1]
63525bp (1 curve)	1	3- 5+ 7- 11+	0 3- 5+ 7- 11+ -1  5  1
Curve Equation t Generators 63525bp1 [0,1,1,-2163,-31201] 1 [-21:-74:1]
63525bq (1 curve)	0	3- 5+ 7- 11-	0 3- 5+ 7- 11-  0  3  3
Curve Equation t 63525bq1 [0,1,1,-397283,-311671156] 1
63525br (4 curves)	0	3- 5+ 7- 11-	1 3- 5+ 7- 11- -2  6 -4
Curve Equation t 63525br1 [1,0,1,-615651,-185846927] 2 63525br2 [1,0,1,-751776,-97637927] 4 63525br3 [1,0,1,2742099,-747498677] 2 63525br4 [1,0,1,-6423651,6198143323] 2
63525bs (4 curves)	0	3- 5+ 7- 11-	1 3- 5+ 7- 11- -2 -6 -4
Curve Equation t 63525bs1 [1,0,1,-49133626,132557076023] 2 63525bs2 [1,0,1,-49148751,132471377773] 4 63525bs3 [1,0,1,-35914376,205419252773] 2 63525bs4 [1,0,1,-62625126,54038875273] 2
63525bt (1 curve)	0	3- 5+ 7- 11-	1 3- 5+ 7- 11-  7  3  2
Curve Equation t 63525bt1 [1,0,1,74,1373] 1
63525bu (1 curve)	0	3- 5+ 7- 11-	-1 3- 5+ 7- 11-  5 -7  6
Curve Equation t 63525bu1 [1,0,0,-9740563,-11730224758] 1
63525bv (6 curves)	0	3- 5+ 7- 11-	-1 3- 5+ 7- 11-  6  2 -4
Curve Equation t 63525bv1 [1,0,0,-102913,-12711808] 2 63525bv2 [1,0,0,-118038,-8733933] 4 63525bv3 [1,0,0,381087,-63138558] 2 63525bv4 [1,0,0,-859163,300315192] 4 63525bv5 [1,0,0,93712,930165567] 2 63525bv6 [1,0,0,-13670038,19452573317] 2
63525bw (1 curve)	0	3- 5+ 7- 11-	2 3- 5+ 7- 11- -6 -7  8
Curve Equation t 63525bw1 [0,1,1,-17508,-894481] 1
63525bx (1 curve)	0	3- 5+ 7- 11-	-2 3- 5+ 7- 11- -2 -3 -1
Curve Equation t 63525bx1 [0,1,1,-1008,-1360606] 1
63525by (1 curve)	0	3- 5+ 7- 11-	-2 3- 5+ 7- 11- -2 -3 -4
Curve Equation t 63525by1 [0,1,1,-4514308,-3364749206] 1
63525bz (1 curve)	1	3- 5- 7+ 11+	0 3- 5- 7+ 11+  6 -5 -1
Curve Equation t Generators 63525bz1 [0,1,1,37,-16] 1 [18:82:1]
63525ca (2 curves)	1	3- 5- 7+ 11+	1 3- 5- 7+ 11+  2  8  4
Curve Equation t Generators 63525ca1 [1,0,1,-586611,-126881207] 2 [917:9861:1] 63525ca2 [1,0,1,-8672436,-9829871207] 2 [222958:-37115907:8]
63525cb (1 curve)	1	3- 5- 7+ 11+	2 3- 5- 7+ 11+  7  3  3
Curve Equation t Generators 63525cb1 [0,1,1,-720958,-218963981] 1 [9274:179681:8]
63525cc (2 curves)	2	3- 5- 7+ 11-	0 3- 5- 7+ 11- -5 -3 -5
Curve Equation t Generators 63525cc1 [0,1,1,-131083,-15656756] 1 [458:-4538:1]&[-226:1573:1] 63525cc2 [0,1,1,-2853583,1852658869] 1 [-1643:45919:1]&[7162:32303:8]
63525cd (2 curves)	0	3- 5- 7+ 11-	1 3- 5- 7+ 11-  0  6  0
Curve Equation t 63525cd1 [1,0,1,-6416,-102247] 2 63525cd2 [1,0,1,-88091,-10066597] 2
63525ce (1 curve)	0	3- 5- 7+ 11-	1 3- 5- 7+ 11-  5 -8 -1
Curve Equation t 63525ce1 [1,0,1,-7626,-7051277] 1
63525cf (1 curve)	0	3- 5- 7+ 11-	1 3- 5- 7+ 11-  7  4 -1
Curve Equation t 63525cf1 [1,0,1,225299,-24753577] 1
63525cg (1 curve)	0	3- 5- 7+ 11-	2 3- 5- 7+ 11- -3  1 -7
Curve Equation t 63525cg1 [0,1,1,-37308,2387369] 1
63525ch (1 curve)	0	3- 5- 7- 11+	0 3- 5- 7- 11+ -6  5  1
Curve Equation t 63525ch1 [0,1,1,4437,38759] 1
63525ci (2 curves)	2	3- 5- 7- 11+	-1 3- 5- 7- 11+ -2 -8 -4
Curve Equation t Generators 63525ci1 [1,0,0,-4848,94887] 2 [3:-285:1]&[-67:380:1] 63525ci2 [1,0,0,-71673,7378812] 2 [-309:369:1]&[147:84:1]
63525cj (1 curve)	2	3- 5- 7- 11+	-2 3- 5- 7- 11+ -7 -3 -3
Curve Equation t Generators 63525cj1 [0,1,1,-5958,162344] 1 [117:-1040:1]&[18:-248:1]
63525ck (1 curve)	1	3- 5- 7- 11-	0 3- 5- 7- 11-  1 -1 -7
Curve Equation t Generators 63525ck1 [0,1,1,-41591733,103222027244] 1 [8202:560290:1]
63525cl (2 curves)	1	3- 5- 7- 11-	1 3- 5- 7- 11-  2 -4  6
Curve Equation t Generators 63525cl1 [1,0,1,-2181,-38117] 2 [173:2097:1] 63525cl2 [1,0,1,844,-134917] 2 [57:286:1]
63525cm (2 curves)	1	3- 5- 7- 11-	1 3- 5- 7- 11- -4  2  0
Curve Equation t Generators 63525cm1 [1,0,1,-3071951,2058957173] 2 [18318:661661:8] 63525cm2 [1,0,1,-5113826,-1020190327] 2 [7207074:162599723:2744]
63525cn (1 curve)	1	3- 5- 7- 11-	-1 3- 5- 7- 11- -5  8  1
Curve Equation t Generators 63525cn1 [1,0,0,-63,5292] 1 [21:105:1]
63525co (1 curve)	1	3- 5- 7- 11-	-1 3- 5- 7- 11- -7 -4  1
Curve Equation t Generators 63525co1 [1,0,0,1862,18767] 1 [77:-826:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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