Cremona's table of elliptic curves

87450 = 2 · 3 · 5² · 11 · 53

Class	r	Atkin-Lehner	Eigenvalues
87450a (2 curves)	1	2+ 3+ 5+ 11+ 53+	2+ 3+ 5+  1 11+  1  6  5
Curve Equation t Generators 87450a1 [1,1,0,-85950,-10138500] 1 [122010057425274648655:3312007208357067299222:139511685711186125] 87450a2 [1,1,0,-7042200,-7195944750] 1 [929927897419634481797996129033482735378701094082430954304868945:-72073977958833643566494037056882772493566272649781475142606296732:131554574232338668296507210286016958917311917346897178517625]
87450b (1 curve)	1	2+ 3+ 5+ 11+ 53+	2+ 3+ 5+  3 11+ -4 -2 -4
Curve Equation t Generators 87450b1 [1,1,0,-14325325,21442652125] 1 [353554725:52308583813:15625]
87450c (2 curves)	0	2+ 3+ 5+ 11+ 53-	2+ 3+ 5+  2 11+ -2 -6 -4
Curve Equation t 87450c1 [1,1,0,-2158775,-1221736875] 2 87450c2 [1,1,0,-2191775,-1182499875] 2
87450d (1 curve)	2	2+ 3+ 5+ 11+ 53-	2+ 3+ 5+ -3 11+ -4  4 -4
Curve Equation t Generators 87450d1 [1,1,0,-5540,-174810] 1 [91:246:1]&[201:2523:1]
87450e (2 curves)	0	2+ 3+ 5+ 11+ 53-	2+ 3+ 5+  4 11+  1  0  2
Curve Equation t 87450e1 [1,1,0,1350,364500] 1 87450e2 [1,1,0,-12150,-9855000] 1
87450f (1 curve)	0	2+ 3+ 5+ 11+ 53-	2+ 3+ 5+  5 11+  4  0 -4
Curve Equation t 87450f1 [1,1,0,-72825,34777125] 1
87450g (1 curve)	1	2+ 3+ 5+ 11- 53-	2+ 3+ 5+  0 11-  3  0 -2
Curve Equation t Generators 87450g1 [1,1,0,-39700250,96843796500] 1 [4420:85790:1]
87450h (2 curves)	1	2+ 3+ 5+ 11- 53-	2+ 3+ 5+  0 11-  6 -6 -2
Curve Equation t Generators 87450h1 [1,1,0,-2900,49500] 2 [5:185:1] 87450h2 [1,1,0,5350,288750] 2 [25:-675:1]
87450i (1 curve)	1	2+ 3+ 5+ 11- 53-	2+ 3+ 5+  2 11-  5 -2  1
Curve Equation t Generators 87450i1 [1,1,0,-3855,113445] 1 [-69:273:1]
87450j (2 curves)	0	2+ 3+ 5- 11+ 53+	2+ 3+ 5-  2 11+  4 -6  0
Curve Equation t 87450j1 [1,1,0,-26825,-3682875] 2 87450j2 [1,1,0,-556825,-160032875] 2
87450k (2 curves)	0	2+ 3+ 5- 11+ 53+	2+ 3+ 5- -2 11+ -4  2  4
Curve Equation t 87450k1 [1,1,0,-8356200,11947464000] 2 87450k2 [1,1,0,-144036200,665246664000] 2
87450l (1 curve)	1	2+ 3+ 5- 11+ 53-	2+ 3+ 5- -1 11+ -1 -6 -5
Curve Equation t Generators 87450l1 [1,1,0,-97075,11702125] 1 [69:2276:1]
87450m (2 curves)	1	2+ 3+ 5- 11+ 53-	2+ 3+ 5-  4 11+ -4 -2  6
Curve Equation t Generators 87450m1 [1,1,0,-21785,-1245675] 2 [-86:75:1] 87450m2 [1,1,0,-348485,-79326975] 2 [5750:49065:8]
87450n (1 curve)	1	2+ 3+ 5- 11+ 53-	2+ 3+ 5-  5 11+  0  1 -7
Curve Equation t Generators 87450n1 [1,1,0,77675,-62697875] 1 [57028070:318304397:166375]
87450o (2 curves)	1	2+ 3+ 5- 11- 53+	2+ 3+ 5- -2 11- -2  0 -2
Curve Equation t Generators 87450o1 [1,1,0,-3635,82425] 2 [29:35:1] 87450o2 [1,1,0,-58085,5364075] 2 [139:-64:1]
87450p (2 curves)	0	2+ 3+ 5- 11- 53-	2+ 3+ 5-  0 11-  4 -6 -4
Curve Equation t 87450p1 [1,1,0,-7211325,6952312125] 2 87450p2 [1,1,0,6868675,30817912125] 2
87450q (2 curves)	0	2+ 3+ 5- 11- 53-	2+ 3+ 5-  4 11-  6  0  0
Curve Equation t 87450q1 [1,1,0,-13700,-486000] 2 87450q2 [1,1,0,31300,-2961000] 2
87450r (2 curves)	2	2+ 3- 5+ 11+ 53+	2+ 3- 5+  0 11+ -4 -4 -2
Curve Equation t Generators 87450r1 [1,0,1,-15901,763448] 2 [-93:1246:1]&[-68:1271:1] 87450r2 [1,0,1,-3901,1891448] 2 [-78:1351:1]&[138:1927:1]
87450s (2 curves)	0	2+ 3- 5+ 11+ 53+	2+ 3- 5+ -4 11+  4  4 -2
Curve Equation t 87450s1 [1,0,1,-290901,-3779552] 2 87450s2 [1,0,1,1161099,-29915552] 2
87450t (2 curves)	2	2+ 3- 5+ 11+ 53+	2+ 3- 5+ -4 11+ -4  4 -6
Curve Equation t Generators 87450t1 [1,0,1,-12651,-162302] 2 [-103:276:1]&[-94:492:1] 87450t2 [1,0,1,48099,-1255802] 2 [32:546:1]&[56:1242:1]
87450u (4 curves)	1	2+ 3- 5+ 11+ 53-	2+ 3- 5+  0 11+ -2 -2 -4
Curve Equation t Generators 87450u1 [1,0,1,-41026,3194948] 2 [121:17:1] 87450u2 [1,0,1,-41526,3112948] 4 [-28:2076:1] 87450u3 [1,0,1,24724,12122948] 2 [78:3772:1] 87450u4 [1,0,1,-115776,-11143052] 2 [-208:2091:1]
87450v (1 curve)	1	2+ 3- 5+ 11+ 53-	2+ 3- 5+  1 11+ -1 -2 -7
Curve Equation t Generators 87450v1 [1,0,1,14,38] 1 [-2:2:1]
87450w (1 curve)	1	2+ 3- 5+ 11+ 53-	2+ 3- 5+  3 11+ -4  2  4
Curve Equation t Generators 87450w1 [1,0,1,64049,4663298] 1 [2318:54013:8]
87450x (1 curve)	1	2+ 3- 5+ 11+ 53-	2+ 3- 5+  3 11+  7 -2 -1
Curve Equation t Generators 87450x1 [1,0,1,428424,17065798] 1 [95321192:98391619254:22665187]
87450y (6 curves)	1	2+ 3- 5+ 11- 53+	2+ 3- 5+  0 11-  2  6 -4
Curve Equation t Generators 87450y1 [1,0,1,-295626,280233148] 2 [500422569:-19307621747:328509] 87450y2 [1,0,1,-8487626,9488041148] 4 [-718:123696:1] 87450y3 [1,0,1,-12359626,-37078852] 4 [-27834:-2895217:27] 87450y4 [1,0,1,-135687626,608345641148] 2 [6701:-6783:1] 87450y5 [1,0,1,49438374,-284270852] 2 [1057:230021:1] 87450y6 [1,0,1,-136109626,-609382078852] 2 [-39669539154:149661500123:6128487]
87450z (1 curve)	1	2+ 3- 5+ 11- 53+	2+ 3- 5+  2 11- -7  2  0
Curve Equation t Generators 87450z1 [1,0,1,-14876,697898] 1 [117:691:1]
87450ba (1 curve)	1	2+ 3- 5+ 11- 53+	2+ 3- 5+ -3 11- -4  0 -4
Curve Equation t Generators 87450ba1 [1,0,1,-661,-6592] 1 [78:607:1]
87450bb (1 curve)	1	2+ 3- 5+ 11- 53+	2+ 3- 5+ -3 11- -4 -4 -4
Curve Equation t Generators 87450bb1 [1,0,1,17174,3463298] 1 [-42:1654:1]
87450bc (2 curves)	1	2+ 3- 5+ 11- 53+	2+ 3- 5+ -4 11- -4 -4 -6
Curve Equation t Generators 87450bc1 [1,0,1,-45270276,111139901698] 2 [1697:197151:1] 87450bc2 [1,0,1,33461724,456930845698] 2 [1742:-722334:1]
87450bd (1 curve)	0	2+ 3- 5+ 11- 53-	2+ 3- 5+ -4 11-  5  8  6
Curve Equation t 87450bd1 [1,0,1,-493026,-133286552] 1
87450be (1 curve)	1	2+ 3- 5- 11+ 53+	2+ 3- 5- -3 11+  1  2 -7
Curve Equation t Generators 87450be1 [1,0,1,107299,-25101952] 1 [402:-9314:1]
87450bf (2 curves)	0	2+ 3- 5- 11+ 53-	2+ 3- 5- -4 11+  4 -2 -2
Curve Equation t 87450bf1 [1,0,1,-101311,-10969582] 2 87450bf2 [1,0,1,-408511,89177618] 2
87450bg (2 curves)	0	2+ 3- 5- 11- 53+	2+ 3- 5-  0 11-  2  0 -2
Curve Equation t 87450bg1 [1,0,1,-585701,120644048] 2 87450bg2 [1,0,1,-3555701,-2487015952] 2
87450bh (2 curves)	0	2+ 3- 5- 11- 53+	2+ 3- 5-  2 11-  6  0  6
Curve Equation t 87450bh1 [1,0,1,-1037247586,3658177954868] 2 87450bh2 [1,0,1,-13031154786,571929501090868] 2
87450bi (4 curves)	0	2- 3+ 5+ 11+ 53+	2- 3+ 5+ -2 11+  4  0  2
Curve Equation t 87450bi1 [1,1,1,-9425213,11102366531] 2 87450bi2 [1,1,1,-5415713,20620919531] 2 87450bi3 [1,1,1,-47525588,-117076954219] 2 87450bi4 [1,1,1,48306412,-529537882219] 2
87450bj (2 curves)	0	2- 3+ 5+ 11+ 53+	2- 3+ 5+ -2 11+ -5 -6  8
Curve Equation t 87450bj1 [1,1,1,-46986313,-126315592969] 1 87450bj2 [1,1,1,-3825720688,-91080541436719] 1
87450bk (2 curves)	1	2- 3+ 5+ 11+ 53-	2- 3+ 5+  0 11+ -4 -4  4
Curve Equation t Generators 87450bk1 [1,1,1,-52938,-4668969] 2 [-135:267:1] 87450bk2 [1,1,1,-844938,-299292969] 2 [-531:267:1]
87450bl (2 curves)	1	2- 3+ 5+ 11+ 53-	2- 3+ 5+  2 11+ -4  0 -2
Curve Equation t Generators 87450bl1 [1,1,1,-2421563,-1443761719] 2 [-945:1822:1] 87450bl2 [1,1,1,-1013563,-3108017719] 2 [1871:38430:1]
87450bm (4 curves)	1	2- 3+ 5+ 11+ 53-	2- 3+ 5+ -2 11+  4  0  2
Curve Equation t Generators 87450bm1 [1,1,1,-2515063,1534174781] 2 [7270:-939:8] 87450bm2 [1,1,1,-2509563,1541225781] 2 [8678:74389:8] 87450bm3 [1,1,1,-2779438,1191623531] 2 [65:-31833:1] 87450bm4 [1,1,1,7868562,8134119531] 2 [725:118887:1]
87450bn (1 curve)	1	2- 3+ 5+ 11+ 53-	2- 3+ 5+  3 11+ -1 -2 -7
Curve Equation t Generators 87450bn1 [1,1,1,4292,-199099] 1 [11731:1264803:1]
87450bo (4 curves)	1	2- 3+ 5+ 11+ 53-	2- 3+ 5+ -4 11+  2 -6  4
Curve Equation t Generators 87450bo1 [1,1,1,-161838,174471531] 4 [-549:10185:1] 87450bo2 [1,1,1,-5779838,5320559531] 4 [-1425:103987:1] 87450bo3 [1,1,1,-9092338,-1476690469] 2 [7383429:-712550735:729] 87450bo4 [1,1,1,-92355338,341579801531] 2 [11401:-883615:1]
87450bp (4 curves)	1	2- 3+ 5+ 11+ 53-	2- 3+ 5+ -4 11+ -2  6  8
Curve Equation t Generators 87450bp1 [1,1,1,-150838,22484531] 4 [-175:6687:1] 87450bp2 [1,1,1,-158838,19956531] 4 [-179:6623:1] 87450bp3 [1,1,1,318162,117264531] 2 [1115:42567:1] 87450bp4 [1,1,1,-763838,-238983469] 2 [-545:4247:1]
87450bq (4 curves)	0	2- 3+ 5+ 11- 53-	2- 3+ 5+  0 11-  2 -6  4
Curve Equation t 87450bq1 [1,1,1,-35088,2413281] 4 87450bq2 [1,1,1,-95588,-8234719] 4 87450bq3 [1,1,1,248162,-53609719] 2 87450bq4 [1,1,1,-1407338,-643121719] 2
87450br (2 curves)	2	2- 3+ 5+ 11- 53-	2- 3+ 5+ -2 11- -2  2 -8
Curve Equation t Generators 87450br1 [1,1,1,-2338,34031] 2 [5:-153:1]&[-45:247:1] 87450br2 [1,1,1,-35338,2542031] 2 [878:-225:8]&[115:-183:1]
87450bs (4 curves)	2	2- 3+ 5+ 11- 53-	2- 3+ 5+ -2 11- -2 -6 -4
Curve Equation t Generators 87450bs1 [1,1,1,-9583338,11414327031] 2 [2365:-45733:1]&[-2475:142587:1] 87450bs2 [1,1,1,-153331338,730729319031] 2 [7149:-3537:1]&[7205:-11853:1] 87450bs3 [1,1,1,-18703713,-13509615969] 2 [-3845:41672:1]&[-1089:75168:1] 87450bs4 [1,1,1,-153871713,725318672031] 2 [446715:298232892:1]&[9215:-304608:1]
87450bt (4 curves)	0	2- 3+ 5+ 11- 53-	2- 3+ 5+  4 11- -6  2  8
Curve Equation t 87450bt1 [1,1,1,-15213,576531] 4 87450bt2 [1,1,1,-75713,-7530469] 4 87450bt3 [1,1,1,70037,-32890969] 2 87450bt4 [1,1,1,-1189463,-499807969] 2
87450bu (1 curve)	1	2- 3+ 5- 11+ 53+	2- 3+ 5- -1 11+  1  2 -7
Curve Equation t Generators 87450bu1 [1,1,1,362,4781] 1 [230:1481:8]
87450bv (1 curve)	1	2- 3+ 5- 11+ 53+	2- 3+ 5- -3 11+  4 -2  4
Curve Equation t Generators 87450bv1 [1,1,1,2562,38331] 1 [-9:125:1]
87450bw (1 curve)	1	2- 3+ 5- 11+ 53+	2- 3+ 5- -3 11+ -7  2 -1
Curve Equation t Generators 87450bw1 [1,1,1,17137,143381] 1 [155:2482:1]
87450bx (2 curves)	1	2- 3+ 5- 11+ 53+	2- 3+ 5-  4 11+ -4  2 -2
Curve Equation t Generators 87450bx1 [1,1,1,-2532763,-1371197719] 2 [2291:68550:1] 87450bx2 [1,1,1,-10212763,11147202281] 2 [73857:1602850:27]
87450by (2 curves)	1	2- 3+ 5- 11- 53-	2- 3+ 5-  0 11- -2  0 -2
Curve Equation t Generators 87450by1 [1,1,1,-23428,955781] 2 [235:-3033:1] 87450by2 [1,1,1,-142228,-19953019] 2 [-185:357:1]
87450bz (2 curves)	1	2- 3+ 5- 11- 53-	2- 3+ 5- -2 11- -6  0  6
Curve Equation t Generators 87450bz1 [1,1,1,-25931189638,457272244358531] 2 [-163891:17547327:1] 87450bz2 [1,1,1,-325778869638,71491187636358531] 2 [11100109:-36939636673:1]
87450ca (1 curve)	1	2- 3+ 5- 11- 53-	2- 3+ 5-  3 11-  4  0 -4
Curve Equation t Generators 87450ca1 [1,1,1,-16513,-823969] 1 [181:1378:1]
87450cb (1 curve)	1	2- 3+ 5- 11- 53-	2- 3+ 5-  3 11-  4  4 -4
Curve Equation t Generators 87450cb1 [1,1,1,687,27981] 1 [462:3879:8]
87450cc (1 curve)	1	2- 3- 5+ 11+ 53+	2- 3- 5+  1 11+  1  6 -5
Curve Equation t Generators 87450cc1 [1,0,0,-3883,93617] 1 [38:17:1]
87450cd (2 curves)	1	2- 3- 5+ 11+ 53+	2- 3- 5+  2 11+  4  0 -6
Curve Equation t Generators 87450cd1 [1,0,0,-9713,333417] 2 [-68:859:1] 87450cd2 [1,0,0,12287,1631417] 2 [-28:1139:1]
87450ce (1 curve)	1	2- 3- 5+ 11+ 53+	2- 3- 5+ -2 11+ -3 -2  0
Curve Equation t Generators 87450ce1 [1,0,0,-3463,-126583] 1 [142:1429:1]
87450cf (2 curves)	1	2- 3- 5+ 11+ 53+	2- 3- 5+ -2 11+ -6  2 -4
Curve Equation t Generators 87450cf1 [1,0,0,-688,2492] 2 [-4:74:1] 87450cf2 [1,0,0,-8938,324242] 2 [518:815:8]
87450cg (1 curve)	1	2- 3- 5+ 11+ 53+	2- 3- 5+ -5 11+  0 -1 -7
Curve Equation t Generators 87450cg1 [1,0,0,3107,-501583] 1 [386:-7825:1]
87450ch (2 curves)	0	2- 3- 5+ 11+ 53-	2- 3- 5+  4 11+  4  4  0
Curve Equation t 87450ch1 [1,0,0,-89563,10263617] 2 87450ch2 [1,0,0,-139063,-2358883] 2
87450ci (2 curves)	0	2- 3- 5+ 11- 53+	2- 3- 5+  4 11-  2  2  2
Curve Equation t 87450ci1 [1,0,0,-858103563,5959981957617] 2 87450ci2 [1,0,0,2606104437,41956567285617] 2
87450cj (1 curve)	0	2- 3- 5- 11+ 53+	2- 3- 5-  3 11+  4 -4 -4
Curve Equation t 87450cj1 [1,0,0,-138513,-21574233] 1
87450ck (2 curves)	0	2- 3- 5- 11+ 53+	2- 3- 5- -4 11+  4  2  6
Curve Equation t 87450ck1 [1,0,0,-544638,-154620108] 2 87450ck2 [1,0,0,-8712138,-9898447608] 2
87450cl (1 curve)	2	2- 3- 5- 11+ 53+	2- 3- 5- -5 11+ -4  0 -4
Curve Equation t Generators 87450cl1 [1,0,0,-2913,278217] 1 [42:-501:1]&[-54:555:1]
87450cm (2 curves)	1	2- 3- 5- 11+ 53-	2- 3- 5- -1 11+ -1 -6  5
Curve Equation t Generators 87450cm1 [1,0,0,-3438,-81108] 3 [606:2157:8] 87450cm2 [1,0,0,-281688,-57567558] 1 [4458034:166335595:2744]
87450cn (2 curves)	1	2- 3- 5- 11+ 53-	2- 3- 5-  2 11+  4 -2  4
Curve Equation t Generators 87450cn1 [1,0,0,-334248,95579712] 2 [1008:-28488:1] 87450cn2 [1,0,0,-5761448,5321973312] 2 [1648:-18248:1]
87450co (2 curves)	1	2- 3- 5- 11+ 53-	2- 3- 5- -2 11+ -4  6  0
Curve Equation t Generators 87450co1 [1,0,0,-1073,-29463] 2 [82:-701:1] 87450co2 [1,0,0,-22273,-1280263] 2 [-88:59:1]
87450cp (1 curve)	1	2- 3- 5- 11+ 53-	2- 3- 5- -3 11+  4  2 -4
Curve Equation t Generators 87450cp1 [1,0,0,-573013,171541217] 1 [1898:76007:1]
87450cq (2 curves)	1	2- 3- 5- 11- 53+	2- 3- 5-  0 11- -4  6 -4
Curve Equation t Generators 87450cq1 [1,0,0,-288453,55618497] 2 [-462:9735:1] 87450cq2 [1,0,0,274747,246543297] 2 [-302:11815:1]
87450cr (1 curve)	1	2- 3- 5- 11- 53+	2- 3- 5- -2 11- -5  2  1
Curve Equation t Generators 87450cr1 [1,0,0,-96388,14373392] 1 [452:-8176:1]
87450cs (2 curves)	1	2- 3- 5- 11- 53+	2- 3- 5- -4 11- -6  0  0
Curve Equation t Generators 87450cs1 [1,0,0,-548,-3888] 2 [52:-356:1] 87450cs2 [1,0,0,1252,-23688] 2 [46:-386:1]
87450ct (2 curves)	0	2- 3- 5- 11- 53-	2- 3- 5-  2 11-  2  0 -2
Curve Equation t 87450ct1 [1,0,0,-90888,10484892] 2 87450ct2 [1,0,0,-1452138,673413642] 2

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