Cremona's table of elliptic curves

83850 = 2 · 3 · 5² · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
83850a (2 curves)	1	2+ 3+ 5+ 13+ 43+	2+ 3+ 5+  0 -6 13+  2 -2
Curve Equation t Generators 83850a1 [1,1,0,-11650,224500] 2 [-45:835:1] 83850a2 [1,1,0,40350,1732500] 2 [115:2755:1]
83850b (4 curves)	1	2+ 3+ 5+ 13+ 43+	2+ 3+ 5+  4  4 13+ -6  4
Curve Equation t Generators 83850b1 [1,1,0,-4500,114000] 2 [89:610:1] 83850b2 [1,1,0,-6500,0] 4 [-49:476:1] 83850b3 [1,1,0,26000,32500] 2 [305:5885:1] 83850b4 [1,1,0,-71000,-7288500] 2 [-149:176:1]
83850c (4 curves)	0	2+ 3+ 5+ 13+ 43-	2+ 3+ 5+  0  0 13+  6 -4
Curve Equation t 83850c1 [1,1,0,10250,2012500] 2 83850c2 [1,1,0,-189750,29812500] 4 83850c3 [1,1,0,-594750,-140692500] 2 83850c4 [1,1,0,-2984750,1983517500] 2
83850d (2 curves)	1	2+ 3+ 5+ 13- 43-	2+ 3+ 5+  0  0 13-  0  0
Curve Equation t Generators 83850d1 [1,1,0,-282775,54023125] 2 [-285:10705:1] 83850d2 [1,1,0,-4442775,3602503125] 2 [2275:71500:1]
83850e (4 curves)	1	2+ 3+ 5+ 13- 43-	2+ 3+ 5+  0 -4 13-  2  4
Curve Equation t Generators 83850e1 [1,1,0,14125,142125] 2 [71:1193:1] 83850e2 [1,1,0,-57875,1078125] 4 [-121:2576:1] 83850e3 [1,1,0,-564875,-162682875] 2 [945:11715:1] 83850e4 [1,1,0,-702875,226183125] 2 [879:16545:1]
83850f (2 curves)	1	2+ 3+ 5+ 13- 43-	2+ 3+ 5+  2  2 13-  2 -2
Curve Equation t Generators 83850f1 [1,1,0,-43400,-3480000] 2 [-3075:2675:27] 83850f2 [1,1,0,-693400,-222530000] 2 [13741:1600921:1]
83850g (2 curves)	1	2+ 3+ 5+ 13- 43-	2+ 3+ 5+  2 -4 13- -4 -2
Curve Equation t Generators 83850g1 [1,1,0,-2469900,4286322000] 2 [1865240:115368180:2197] 83850g2 [1,1,0,-57509900,167590002000] 2 [3433757145:-11641443360:753571]
83850h (1 curve)	1	2+ 3+ 5+ 13- 43-	2+ 3+ 5+ -4  4 13- -2 -6
Curve Equation t Generators 83850h1 [1,1,0,-110,3060] 1 [4:-54:1]
83850i (1 curve)	1	2+ 3+ 5- 13+ 43-	2+ 3+ 5-  0  0 13+ -6  6
Curve Equation t Generators 83850i1 [1,1,0,-598325,178784625] 1 [460:845:1]
83850j (2 curves)	2	2+ 3+ 5- 13- 43-	2+ 3+ 5- -2  0 13-  6  0
Curve Equation t Generators 83850j1 [1,1,0,-4450,-116000] 2 [-39:31:1]&[129:1151:1] 83850j2 [1,1,0,-5700,-47250] 2 [-61:310:1]&[-9:63:1]
83850k (6 curves)	1	2+ 3- 5+ 13+ 43-	2+ 3- 5+  0  4 13+  6 -4
Curve Equation t Generators 83850k1 [1,0,1,-830001,6462148] 2 [-9618:25063366:9261] 83850k2 [1,0,1,-9022001,-10397377852] 4 [121806483684:37276331788144:1295029] 83850k3 [1,0,1,-4894001,-19949569852] 2 [3187580544995505207556:-978857791732377374332113:33893005852612061] 83850k4 [1,0,1,-144222001,-666658177852] 4 [376228:230461499:1] 83850k5 [1,0,1,-144092001,-667919957852] 2 [14156:352251:1] 83850k6 [1,0,1,-2307552001,-42665546797852] 2 [56189457956:34197178838623:148877]
83850l (2 curves)	1	2+ 3- 5+ 13+ 43-	2+ 3- 5+ -2 -2 13+  4 -2
Curve Equation t Generators 83850l1 [1,0,1,-107526,-13472552] 2 [-178:276:1] 83850l2 [1,0,1,-187526,9247448] 2 [-228:6451:1]
83850m (1 curve)	1	2+ 3- 5+ 13+ 43-	2+ 3- 5+  3 -2 13+  0  4
Curve Equation t Generators 83850m1 [1,0,1,-317201,69800798] 1 [396:-2714:1]
83850n (1 curve)	1	2+ 3- 5+ 13+ 43-	2+ 3- 5+ -3 -2 13+  0 -4
Curve Equation t Generators 83850n1 [1,0,1,564,-1622] 1 [8:54:1]
83850o (2 curves)	1	2+ 3- 5+ 13- 43+	2+ 3- 5+  2  2 13-  0  2
Curve Equation t Generators 83850o1 [1,0,1,-454901,117683948] 2 [342:1291:1] 83850o2 [1,0,1,-666151,-2728552] 2 [-308:13316:1]
83850p (2 curves)	1	2+ 3- 5+ 13- 43+	2+ 3- 5+  2 -2 13- -4  2
Curve Equation t Generators 83850p1 [1,0,1,-221610901,-1111623979552] 2 [5922196:-159875332:343] 83850p2 [1,0,1,-3421610901,-77034823979552] 2 [-11542804:8732793:343]
83850q (2 curves)	1	2+ 3- 5+ 13- 43+	2+ 3- 5+ -2  0 13-  8  2
Curve Equation t Generators 83850q1 [1,0,1,908849,3706029698] 2 [-728:51926:1] 83850q2 [1,0,1,-31091151,64314029698] 2 [-4228:348801:1]
83850r (2 curves)	1	2+ 3- 5+ 13- 43+	2+ 3- 5+ -2  2 13-  0 -6
Curve Equation t Generators 83850r1 [1,0,1,-906776,-325707802] 2 [-567:2779:1] 83850r2 [1,0,1,-14426776,-21092427802] 2 [-2192:1154:1]
83850s (2 curves)	1	2+ 3- 5+ 13- 43+	2+ 3- 5+ -2  4 13- -4  2
Curve Equation t Generators 83850s1 [1,0,1,-229151,42315698] 2 [87:4756:1] 83850s2 [1,0,1,-3669151,2704875698] 2 [1096:17:1]
83850t (2 curves)	1	2+ 3- 5+ 13- 43+	2+ 3- 5+ -2 -6 13- -4  2
Curve Equation t Generators 83850t1 [1,0,1,-59502151,-176667897802] 2 [-120066:67007:27] 83850t2 [1,0,1,-952033401,-11306532585302] 2 [-38241653712:19120313974:2146689]
83850u (2 curves)	1	2+ 3- 5+ 13- 43+	2+ 3- 5+  4 -2 13-  2  2
Curve Equation t Generators 83850u1 [1,0,1,-275507276,-1760165021302] 2 [75057:19972471:1] 83850u2 [1,0,1,-275455276,-1760862653302] 2 [913217024:243005408842:12167]
83850v (2 curves)	1	2+ 3- 5+ 13- 43+	2+ 3- 5+  4 -2 13- -2 -6
Curve Equation t Generators 83850v1 [1,0,1,-1031401,392531948] 2 [-1118:12746:1] 83850v2 [1,0,1,268599,1315531948] 2 [-958:13866:1]
83850w (1 curve)	1	2+ 3- 5+ 13- 43+	2+ 3- 5+  4 -4 13- -6  6
Curve Equation t Generators 83850w1 [1,0,1,-546,6808] 1 [23:-93:1]
83850x (2 curves)	1	2+ 3- 5+ 13- 43+	2+ 3- 5+ -4 -2 13-  2  2
Curve Equation t Generators 83850x1 [1,0,1,-41776,3282698] 2 [207:1771:1] 83850x2 [1,0,1,-38526,3815698] 2 [56:1326:1]
83850y (1 curve)	0	2+ 3- 5+ 13- 43-	2+ 3- 5+ -2 -4 13- -4  1
Curve Equation t 83850y1 [1,0,1,-58676,-5475502] 1
83850z (2 curves)	0	2+ 3- 5+ 13- 43-	2+ 3- 5+ -2  6 13-  6  6
Curve Equation t 83850z1 [1,0,1,-114036551,462603599498] 2 83850z2 [1,0,1,-1817972551,29835052367498] 2
83850ba (2 curves)	0	2+ 3- 5+ 13- 43-	2+ 3- 5+ -2 -6 13-  2 -6
Curve Equation t 83850ba1 [1,0,1,-230394026,-1346008782052] 2 83850ba2 [1,0,1,-240794026,-1217839182052] 2
83850bb (2 curves)	0	2+ 3- 5+ 13- 43-	2+ 3- 5+  4  0 13- -6  0
Curve Equation t 83850bb1 [1,0,1,-5551,-177502] 2 83850bb2 [1,0,1,-91551,-10669502] 2
83850bc (2 curves)	2	2+ 3- 5+ 13- 43-	2+ 3- 5+ -4  0 13-  0  4
Curve Equation t Generators 83850bc1 [1,0,1,-6526,185948] 2 [-714:2303:8]&[-68:596:1] 83850bc2 [1,0,1,-22776,-1114052] 2 [-94:492:1]&[-82:492:1]
83850bd (2 curves)	1	2+ 3- 5- 13+ 43+	2+ 3- 5-  0  0 13+  0  6
Curve Equation t Generators 83850bd1 [1,0,1,1049734,3149228] 2 [861:38881:1] 83850bd2 [1,0,1,-4199066,24144428] 2 [2076:14932:1]
83850be (1 curve)	1	2+ 3- 5- 13+ 43+	2+ 3- 5-  1  3 13+ -1 -8
Curve Equation t Generators 83850be1 [1,0,1,-140076,287000398] 1 [-133:17481:1]
83850bf (1 curve)	1	2+ 3- 5- 13+ 43+	2+ 3- 5- -3  2 13+  4  4
Curve Equation t Generators 83850bf1 [1,0,1,-2551,-59302] 1 [287610:1834063:3375]
83850bg (1 curve)	1	2+ 3- 5- 13+ 43+	2+ 3- 5- -5 -6 13+ -4  4
Curve Equation t Generators 83850bg1 [1,0,1,5049,1052548] 1 [-96:27497:27]
83850bh (1 curve)	0	2+ 3- 5- 13+ 43-	2+ 3- 5-  1  1 13+ -3  0
Curve Equation t 83850bh1 [1,0,1,-59751,-7530902] 1
83850bi (1 curve)	0	2+ 3- 5- 13+ 43-	2+ 3- 5-  1  3 13+  3  0
Curve Equation t 83850bi1 [1,0,1,-505976,-138571702] 1
83850bj (1 curve)	0	2+ 3- 5- 13+ 43-	2+ 3- 5- -2 -2 13+  0 -3
Curve Equation t 83850bj1 [1,0,1,34299,9184048] 1
83850bk (2 curves)	0	2+ 3- 5- 13- 43+	2+ 3- 5-  2 -4 13-  6 -4
Curve Equation t 83850bk1 [1,0,1,-25701,724048] 2 83850bk2 [1,0,1,-345701,78164048] 2
83850bl (4 curves)	1	2- 3+ 5+ 13+ 43-	2- 3+ 5+  0 -4 13+ -2 -4
Curve Equation t Generators 83850bl1 [1,1,1,1787,-30469] 2 [25:162:1] 83850bl2 [1,1,1,-10713,-305469] 4 [275:4062:1] 83850bl3 [1,1,1,-64463,6037031] 2 [65850:798917:216] 83850bl4 [1,1,1,-156963,-23997969] 2 [29300:23643:64]
83850bm (4 curves)	1	2- 3+ 5+ 13+ 43-	2- 3+ 5+  4 -4 13+ -2  0
Curve Equation t Generators 83850bm1 [1,1,1,-158588,-22909219] 2 [-185:467:1] 83850bm2 [1,1,1,-496588,106882781] 4 [24059:3718263:1] 83850bm3 [1,1,1,1082912,650230781] 2 [8247687:1276079209:343] 83850bm4 [1,1,1,-7484088,7876982781] 2 [14751345:-1113253:9261]
83850bn (1 curve)	1	2- 3+ 5+ 13- 43+	2- 3+ 5+ -1  1 13-  3  0
Curve Equation t Generators 83850bn1 [1,1,1,-1493763,-941362719] 1 [2101:71060:1]
83850bo (1 curve)	1	2- 3+ 5+ 13- 43+	2- 3+ 5+ -1  3 13- -3  0
Curve Equation t Generators 83850bo1 [1,1,1,-12649388,-17321462719] 1 [757894769369637876:62095930714686005023:88979364241984]
83850bp (1 curve)	1	2- 3+ 5+ 13- 43+	2- 3+ 5+  2 -2 13-  0 -3
Curve Equation t Generators 83850bp1 [1,1,1,1372,74021] 1 [269:4337:1]
83850bq (2 curves)	1	2- 3+ 5+ 13- 43+	2- 3+ 5+  2 -2 13-  0 -6
Curve Equation t Generators 83850bq1 [1,1,1,-26268451688,-1638712352524219] 2 [-15156300915299579623985043749862753338670512:7585548955048509723359958761352469905096481:161970492121291936534403025618968563712] 83850bq2 [1,1,1,-26269232938,-1638610005649219] 2 [-356968702212370830420180440:-1400620371434144179871586171:3819949674441293445632]
83850br (2 curves)	1	2- 3+ 5+ 13- 43+	2- 3+ 5+  2  6 13-  0 -6
Curve Equation t Generators 83850br1 [1,1,1,-12688,-536719] 2 [-59:133:1] 83850br2 [1,1,1,-32688,1543281] 2 [-95:1997:1]
83850bs (2 curves)	1	2- 3+ 5+ 13- 43+	2- 3+ 5+  4 -6 13-  6 -2
Curve Equation t Generators 83850bs1 [1,1,1,-43563,3269781] 2 [270:10711:8] 83850bs2 [1,1,1,37687,14157281] 2 [820610:19429873:2744]
83850bt (2 curves)	1	2- 3+ 5+ 13- 43+	2- 3+ 5+ -4  4 13- -6  0
Curve Equation t Generators 83850bt1 [1,1,1,-54830813,-180708891469] 2 [10415:609692:1] 83850bt2 [1,1,1,-914830813,-10650348891469] 2 [110415:35079892:1]
83850bu (4 curves)	0	2- 3+ 5+ 13- 43-	2- 3+ 5+  0  0 13-  6  0
Curve Equation t 83850bu1 [1,1,1,-7254838,5686676531] 4 83850bu2 [1,1,1,-40022838,-92748395469] 4 83850bu3 [1,1,1,27369162,-373368683469] 2 83850bu4 [1,1,1,-631702838,-6111317355469] 2
83850bv (2 curves)	0	2- 3+ 5+ 13- 43-	2- 3+ 5+  0 -4 13- -4  4
Curve Equation t 83850bv1 [1,1,1,-2757313,1656076031] 2 83850bv2 [1,1,1,-43382313,109962326031] 2
83850bw (1 curve)	0	2- 3+ 5+ 13- 43-	2- 3+ 5+ -1  3 13-  1 -8
Curve Equation t 83850bw1 [1,1,1,-3501888,35875049781] 1
83850bx (2 curves)	0	2- 3+ 5+ 13- 43-	2- 3+ 5+  2  2 13- -6  2
Curve Equation t 83850bx1 [1,1,1,-59813,5069531] 2 83850bx2 [1,1,1,-222313,-34905469] 2
83850by (2 curves)	0	2- 3+ 5+ 13- 43-	2- 3+ 5+  2  4 13-  4  6
Curve Equation t 83850by1 [1,1,1,-8927438,10383203531] 2 83850by2 [1,1,1,-143302438,660220703531] 2
83850bz (1 curve)	0	2- 3+ 5+ 13- 43-	2- 3+ 5+ -2  4 13- -4  7
Curve Equation t 83850bz1 [1,1,1,-4088,-107719] 1
83850ca (1 curve)	0	2- 3+ 5+ 13- 43-	2- 3+ 5+  3  2 13- -4  4
Curve Equation t 83850ca1 [1,1,1,-63763,-7412719] 1
83850cb (1 curve)	0	2- 3+ 5+ 13- 43-	2- 3+ 5+  5 -6 13-  4  4
Curve Equation t 83850cb1 [1,1,1,202,8501] 1
83850cc (2 curves)	2	2- 3+ 5- 13+ 43-	2- 3+ 5- -2 -4 13+ -6 -4
Curve Equation t Generators 83850cc1 [1,1,1,-1028,5381] 2 [-19:145:1]&[1:65:1] 83850cc2 [1,1,1,-13828,619781] 2 [59:87:1]&[-71:1153:1]
83850cd (1 curve)	0	2- 3+ 5- 13+ 43-	2- 3+ 5- -4 -4 13+  6  6
Curve Equation t 83850cd1 [1,1,1,-13638,851031] 1
83850ce (1 curve)	0	2- 3+ 5- 13- 43+	2- 3+ 5-  3 -2 13-  0 -4
Curve Equation t 83850ce1 [1,1,1,14112,-202719] 1
83850cf (1 curve)	0	2- 3+ 5- 13- 43+	2- 3+ 5- -3 -2 13-  0  4
Curve Equation t 83850cf1 [1,1,1,-12688,553331] 1
83850cg (2 curves)	1	2- 3+ 5- 13- 43-	2- 3+ 5-  0  0 13-  0  6
Curve Equation t Generators 83850cg1 [1,1,1,26243362,393653531] 2 [12235:1461257:1] 83850cg2 [1,1,1,-104976638,3018053531] 2 [-6819:637315:1]
83850ch (1 curve)	0	2- 3- 5+ 13+ 43-	2- 3- 5+ -2  4 13+ -8  3
Curve Equation t 83850ch1 [1,0,0,337,2067] 1
83850ci (1 curve)	0	2- 3- 5+ 13- 43+	2- 3- 5+  0  0 13-  6  6
Curve Equation t 83850ci1 [1,0,0,-23933,1430277] 1
83850cj (2 curves)	0	2- 3- 5+ 13- 43+	2- 3- 5+  2  4 13-  6  8
Curve Equation t 83850cj1 [1,0,0,-1876899563,30076146733617] 2 83850cj2 [1,0,0,979200437,113494259433617] 2
83850ck (2 curves)	1	2- 3- 5+ 13- 43-	2- 3- 5+ -2  6 13-  6 -6
Curve Equation t Generators 83850ck1 [1,0,0,-1038,-7308] 2 [-18:84:1] 83850ck2 [1,0,0,-7538,246192] 2 [88:472:1]
83850cl (2 curves)	1	2- 3- 5+ 13- 43-	2- 3- 5+ -4  0 13- -2  0
Curve Equation t Generators 83850cl1 [1,0,0,97437,5845617] 2 [192:-5721:1] 83850cl2 [1,0,0,-440063,49383117] 2 [-674:6655:1]
83850cm (2 curves)	1	2- 3- 5+ 13- 43-	2- 3- 5+ -4 -2 13- -4 -2
Curve Equation t Generators 83850cm1 [1,0,0,-96063,5716617] 2 [-276:70013:27] 83850cm2 [1,0,0,326437,42474117] 2 [166:9979:1]
83850cn (2 curves)	0	2- 3- 5- 13+ 43+	2- 3- 5-  2  0 13+ -6  0
Curve Equation t 83850cn1 [1,0,0,-178,-928] 2 83850cn2 [1,0,0,-228,-378] 2
83850co (1 curve)	0	2- 3- 5- 13+ 43+	2- 3- 5-  4  4 13+  2 -6
Curve Equation t 83850co1 [1,0,0,-2763,388017] 1

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