Cremona's table of elliptic curves

33840 = 2⁴ · 3² · 5 · 47

Class	r	Atkin-Lehner	Eigenvalues
33840a (1 curve)	1	2+ 3+ 5+ 47+	2+ 3+ 5+  1  6  1 -5 -5
Curve Equation t Generators 33840a1 [0,0,0,-1377243,-622105542] 1 [15077540557833:-239493678546474:10232446211]
33840b (1 curve)	1	2+ 3+ 5+ 47+	2+ 3+ 5+ -3 -2 -1 -3  1
Curve Equation t Generators 33840b1 [0,0,0,-243,3618] 1 [3:-54:1]
33840c (2 curves)	0	2+ 3+ 5+ 47-	2+ 3+ 5+ -4  0  4 -6  4
Curve Equation t 33840c1 [0,0,0,-378,-2673] 2 33840c2 [0,0,0,297,-11178] 2
33840d (2 curves)	0	2+ 3+ 5- 47+	2+ 3+ 5- -4  0  4  6  4
Curve Equation t 33840d1 [0,0,0,-42,99] 2 33840d2 [0,0,0,33,414] 2
33840e (1 curve)	1	2+ 3+ 5- 47-	2+ 3+ 5-  1 -6  1  5 -5
Curve Equation t Generators 33840e1 [0,0,0,-153027,23040946] 1 [227:-30:1]
33840f (1 curve)	1	2+ 3+ 5- 47-	2+ 3+ 5- -3  2 -1  3  1
Curve Equation t Generators 33840f1 [0,0,0,-27,-134] 1 [11:30:1]
33840g (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+ -2  2 -1 -2  2
Curve Equation t 33840g1 [0,0,0,-54588,-4909012] 1
33840h (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+  2  0  5  4  0
Curve Equation t Generators 33840h1 [0,0,0,-948,13772] 1 [-23:153:1]
33840i (2 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+  2 -2 -6  2  4
Curve Equation t Generators 33840i1 [0,0,0,2517,-47702] 2 [113:1296:1] 33840i2 [0,0,0,-14403,-450398] 2 [-94:270:1]
33840j (2 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+  2 -6  2 -2  0
Curve Equation t Generators 33840j1 [0,0,0,-723,-23902] 2 [41:124:1] 33840j2 [0,0,0,-17643,-900358] 2 [-79:20:1]
33840k (4 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+ -4  0  6 -2 -4
Curve Equation t Generators 33840k1 [0,0,0,-25383,1792582] 2 [-46:1692:1] 33840k2 [0,0,0,-423003,105889498] 4 [249:4000:1] 33840k3 [0,0,0,-439923,96959122] 2 [542:4212:1] 33840k4 [0,0,0,-6768003,6777022498] 2 [1518:1076:1]
33840l (4 curves)	1	2+ 3- 5- 47+	2+ 3- 5-  0  0  2 -2  8
Curve Equation t Generators 33840l1 [0,0,0,2553,29414] 2 [53:560:1] 33840l2 [0,0,0,-12027,253946] 4 [-38:810:1] 33840l3 [0,0,0,-93027,-10745854] 2 [-158:90:1] 33840l4 [0,0,0,-164307,25623794] 2 [-137:6750:1]
33840m (1 curve)	1	2+ 3- 5- 47+	2+ 3- 5- -1 -3  1  0  7
Curve Equation t Generators 33840m1 [0,0,0,-7947,-272214] 1 [-53:10:1]
33840n (4 curves)	0	2+ 3- 5- 47-	2+ 3- 5-  0 -4  2 -6  4
Curve Equation t 33840n1 [0,0,0,-3882,-92981] 2 33840n2 [0,0,0,-5007,-34706] 4 33840n3 [0,0,0,19293,-272846] 4 33840n4 [0,0,0,-47307,3933034] 2
33840o (1 curve)	0	2+ 3- 5- 47-	2+ 3- 5-  1  3  1 -4  1
Curve Equation t 33840o1 [0,0,0,-147,-254] 1
33840p (1 curve)	0	2+ 3- 5- 47-	2+ 3- 5- -2 -2  1  2  2
Curve Equation t 33840p1 [0,0,0,-12,956] 1
33840q (4 curves)	0	2+ 3- 5- 47-	2+ 3- 5-  4  4 -2  2 -4
Curve Equation t 33840q1 [0,0,0,-171327,-27295234] 2 33840q2 [0,0,0,-171507,-27235006] 4 33840q3 [0,0,0,-86907,-54120886] 2 33840q4 [0,0,0,-258987,3505466] 4
33840r (2 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  0 -4  2 -4 -2
Curve Equation t 33840r1 [0,0,0,-648,4347] 2 33840r2 [0,0,0,-4023,-94878] 2
33840s (2 curves)	2	2- 3+ 5+ 47+	2- 3+ 5+  0 -4 -4  2 -4
Curve Equation t Generators 33840s1 [0,0,0,-2883,68418] 2 [31:-94:1]&[-9:306:1] 33840s2 [0,0,0,-48003,4048002] 2 [-249:750:1]&[1:2000:1]
33840t (2 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  1 -6  5  3  7
Curve Equation t 33840t1 [0,0,0,1197,16658] 1 33840t2 [0,0,0,-32643,2285442] 1
33840u (2 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  2  2  4 -2 -4
Curve Equation t 33840u1 [0,0,0,-70683,7234762] 2 33840u2 [0,0,0,-1131003,462960298] 2
33840v (2 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  2 -4 -2 -2  8
Curve Equation t 33840v1 [0,0,0,-2283,-27878] 2 33840v2 [0,0,0,-33003,-2307302] 2
33840w (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+ -3  2 -1 -7  1
Curve Equation t 33840w1 [0,0,0,-42363,-13971798] 1
33840x (4 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  4  0 -4 -6  4
Curve Equation t 33840x1 [0,0,0,-26578563,-52741472638] 2 33840x2 [0,0,0,-425258883,-3375422995582] 2 33840x3 [0,0,0,-10143603,-116890161102] 2 33840x4 [0,0,0,-425969523,-3363575779278] 2
33840y (2 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+ -4  0  0  6 -8
Curve Equation t 33840y1 [0,0,0,-5643,-279558] 2 33840y2 [0,0,0,-107163,-13497462] 2
33840z (2 curves)	1	2- 3+ 5+ 47-	2- 3+ 5+ -2  0 -2  2  4
Curve Equation t Generators 33840z1 [0,0,0,-2403,43362] 2 [49:208:1] 33840z2 [0,0,0,-6723,-156222] 2 [-39:216:1]
33840ba (2 curves)	1	2- 3+ 5+ 47-	2- 3+ 5+ -2 -2  4  6  4
Curve Equation t Generators 33840ba1 [0,0,0,16009797,33300975082] 2 [3080154:325620700:343] 33840ba2 [0,0,0,-109819323,341053836778] 2 [38039:7155750:1]
33840bb (1 curve)	1	2- 3+ 5+ 47-	2- 3+ 5+  3 -2 -1  1 -1
Curve Equation t Generators 33840bb1 [0,0,0,837,-8278038] 1 [284697:8147574:343]
33840bc (2 curves)	1	2- 3+ 5- 47+	2- 3+ 5- -2  0 -2 -2  4
Curve Equation t Generators 33840bc1 [0,0,0,-267,-1606] 2 [-10:8:1] 33840bc2 [0,0,0,-747,5786] 2 [-25:94:1]
33840bd (2 curves)	1	2- 3+ 5- 47+	2- 3+ 5- -2  2  4 -6  4
Curve Equation t Generators 33840bd1 [0,0,0,144088173,-899126327214] 2 [38827488025070552839171430663035240615:-44539541350373719201142335011587425828864:29509535616764909798575193814559] 33840bd2 [0,0,0,-988373907,-9208453593006] 2 [319492991835912644154195:-732954783615479907145740288:60703553959660331]
33840be (1 curve)	1	2- 3+ 5- 47+	2- 3+ 5-  3  2 -1 -1 -1
Curve Equation t Generators 33840be1 [0,0,0,93,306594] 1 [63:750:1]
33840bf (2 curves)	0	2- 3+ 5- 47-	2- 3+ 5-  0  4  2  4 -2
Curve Equation t 33840bf1 [0,0,0,-72,-161] 2 33840bf2 [0,0,0,-447,3514] 2
33840bg (2 curves)	0	2- 3+ 5- 47-	2- 3+ 5-  0  4 -4 -2 -4
Curve Equation t 33840bg1 [0,0,0,-25947,-1847286] 2 33840bg2 [0,0,0,-432027,-109296054] 2
33840bh (2 curves)	0	2- 3+ 5- 47-	2- 3+ 5-  1  6  5 -3  7
Curve Equation t 33840bh1 [0,0,0,-3627,-84646] 1 33840bh2 [0,0,0,10773,-449766] 1
33840bi (2 curves)	0	2- 3+ 5- 47-	2- 3+ 5-  2 -2  4  2 -4
Curve Equation t 33840bi1 [0,0,0,-636147,-195338574] 2 33840bi2 [0,0,0,-10179027,-12499928046] 2
33840bj (2 curves)	0	2- 3+ 5- 47-	2- 3+ 5-  2  4 -2  2  8
Curve Equation t 33840bj1 [0,0,0,-20547,752706] 2 33840bj2 [0,0,0,-297027,62297154] 2
33840bk (1 curve)	0	2- 3+ 5- 47-	2- 3+ 5- -3 -2 -1  7  1
Curve Equation t 33840bk1 [0,0,0,-4707,517474] 1
33840bl (4 curves)	0	2- 3+ 5- 47-	2- 3+ 5-  4  0 -4  6  4
Curve Equation t 33840bl1 [0,0,0,-1127067,4329265226] 2 33840bl2 [0,0,0,-47329947,124576880714] 2 33840bl3 [0,0,0,-239207067,1424019761226] 2 33840bl4 [0,0,0,-3827329947,91136420880714] 2
33840bm (2 curves)	2	2- 3+ 5- 47-	2- 3+ 5- -4  0  0 -6 -8
Curve Equation t Generators 33840bm1 [0,0,0,-627,10354] 2 [-7:-120:1]&[-15:128:1] 33840bm2 [0,0,0,-11907,499906] 2 [-73:990:1]&[-63:1000:1]
33840bn (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+  0  0  4  0 -6
Curve Equation t Generators 33840bn1 [0,0,0,-408,-3157] 2 [37:180:1] 33840bn2 [0,0,0,-183,-6622] 2 [2308:11745:64]
33840bo (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+  1  3  5 -6  1
Curve Equation t Generators 33840bo1 [0,0,0,-831243,291702458] 1 [311:7954:1] 33840bo2 [0,0,0,-914043,230078378] 1 [305556539:6797241826:1295029]
33840bp (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+ -1 -1 -5 -2  5
Curve Equation t Generators 33840bp1 [0,0,0,-183,898] 1 [6:4:1]
33840bq (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+ -1  4 -3  3  5
Curve Equation t Generators 33840bq1 [0,0,0,-1983,36682] 1 [14:108:1]
33840br (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+ -1 -4  1  7 -7
Curve Equation t Generators 33840br1 [0,0,0,-561423,-161913638] 1 [8456824505306866:-232596846153692352:6559155588959]
33840bs (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+  2  2 -5 -2  2
Curve Equation t Generators 33840bs1 [0,0,0,8592,1030732] 1 [134:2142:1]
33840bt (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+  3 -1 -1  8  5
Curve Equation t Generators 33840bt1 [0,0,0,-16803,193698] 1 [-2643:25622:27]
33840bu (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+  3 -6  1 -3 -3
Curve Equation t Generators 33840bu1 [0,0,0,-17643,6028058] 1 [7:2430:1]
33840bv (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+ -4 -2  0 -6 -4
Curve Equation t Generators 33840bv1 [0,0,0,-19803,-1751798] 2 [221:2160:1] 33840bv2 [0,0,0,-369723,-86502422] 2 [1679:63450:1]
33840bw (4 curves)	0	2- 3- 5+ 47-	2- 3- 5+  0  4  2 -6  0
Curve Equation t 33840bw1 [0,0,0,-52923,4686122] 2 33840bw2 [0,0,0,-53643,4552058] 4 33840bw3 [0,0,0,36357,18286058] 2 33840bw4 [0,0,0,-155163,-17762038] 2
33840bx (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+  1  1 -5  0 -5
Curve Equation t 33840bx1 [0,0,0,-14043,555658] 1
33840by (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+  1 -2  1 -3  7
Curve Equation t 33840by1 [0,0,0,1077,105082] 1
33840bz (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+ -1 -3 -3  6  7
Curve Equation t 33840bz1 [0,0,0,-723,3922] 1
33840ca (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+ -2  4  1  0  4
Curve Equation t 33840ca1 [0,0,0,-408,-3188] 1
33840cb (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+  5  6  3  3  1
Curve Equation t 33840cb1 [0,0,0,-17283,73150018] 1
33840cc (1 curve)	0	2- 3- 5- 47+	2- 3- 5-  1  0  1  1  7
Curve Equation t 33840cc1 [0,0,0,33,-1654] 1
33840cd (2 curves)	0	2- 3- 5- 47+	2- 3- 5-  1  0 -1  3  1
Curve Equation t 33840cd1 [0,0,0,54033,3612026] 1 33840cd2 [0,0,0,-558327,-216960046] 1
33840ce (1 curve)	0	2- 3- 5- 47+	2- 3- 5-  1  2 -5 -7 -3
Curve Equation t 33840ce1 [0,0,0,-60303387,-180287731766] 1
33840cf (1 curve)	0	2- 3- 5- 47+	2- 3- 5-  1 -3 -5 -2  7
Curve Equation t 33840cf1 [0,0,0,-6267,189866] 1
33840cg (1 curve)	0	2- 3- 5- 47+	2- 3- 5- -2  0 -5 -8  4
Curve Equation t 33840cg1 [0,0,0,194568,-1758004] 1
33840ch (1 curve)	0	2- 3- 5- 47+	2- 3- 5- -2  2  1  2  6
Curve Equation t 33840ch1 [0,0,0,-832512,300559984] 1
33840ci (2 curves)	0	2- 3- 5- 47+	2- 3- 5- -2  2 -2  2  0
Curve Equation t 33840ci1 [0,0,0,-1155027,-477852014] 2 33840ci2 [0,0,0,-18481107,-30580183406] 2
33840cj (2 curves)	0	2- 3- 5- 47+	2- 3- 5- -2  6 -2 -2  4
Curve Equation t 33840cj1 [0,0,0,180933,-21016726] 2 33840cj2 [0,0,0,-901947,-186264214] 2
33840ck (2 curves)	0	2- 3- 5- 47+	2- 3- 5- -2 -6  5 -6 -2
Curve Equation t 33840ck1 [0,0,0,1248,29936] 1 33840ck2 [0,0,0,-11712,-1022416] 1
33840cl (1 curve)	0	2- 3- 5- 47+	2- 3- 5-  3  5  5  2 -1
Curve Equation t 33840cl1 [0,0,0,-927,10746] 1
33840cm (2 curves)	0	2- 3- 5- 47+	2- 3- 5-  4  2  4  2  0
Curve Equation t 33840cm1 [0,0,0,2373,51946] 2 33840cm2 [0,0,0,-14907,511594] 2
33840cn (4 curves)	2	2- 3- 5- 47+	2- 3- 5- -4 -4  2 -2 -8
Curve Equation t Generators 33840cn1 [0,0,0,-2307,-41726] 2 [-30:22:1]&[-25:18:1] 33840cn2 [0,0,0,-5187,83266] 4 [-73:270:1]&[-63:400:1] 33840cn3 [0,0,0,16413,597346] 2 [-25:414:1]&[-9:670:1] 33840cn4 [0,0,0,-72867,7568674] 2 [143:270:1]&[-87:3640:1]
33840co (1 curve)	0	2- 3- 5- 47+	2- 3- 5-  5  2  5 -5  7
Curve Equation t 33840co1 [0,0,0,-6738627,8206879426] 1
33840cp (2 curves)	0	2- 3- 5- 47+	2- 3- 5- -5 -3  5  0  7
Curve Equation t 33840cp1 [0,0,0,-5187,143426] 1 33840cp2 [0,0,0,-25347,-1433086] 1
33840cq (2 curves)	1	2- 3- 5- 47-	2- 3- 5-  0 -2 -4 -2  4
Curve Equation t Generators 33840cq1 [0,0,0,46653,-11684414] 2 [417:8960:1] 33840cq2 [0,0,0,-575427,-151901246] 2 [-447:4000:1]
33840cr (2 curves)	1	2- 3- 5- 47-	2- 3- 5-  1  3 -7  6  1
Curve Equation t Generators 33840cr1 [0,0,0,-63687,6174866] 1 [122:470:1] 33840cr2 [0,0,0,-283647,-52547686] 1 [-382:250:1]
33840cs (1 curve)	1	2- 3- 5- 47-	2- 3- 5- -1 -2 -7 -1  1
Curve Equation t Generators 33840cs1 [0,0,0,-5187,145154] 1 [55:162:1]
33840ct (1 curve)	1	2- 3- 5- 47-	2- 3- 5- -1  3  3 -6  1
Curve Equation t Generators 33840ct1 [0,0,0,-511347,-140739086] 1 [-11139:1250:27]
33840cu (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  2  0  3  0  4
Curve Equation t Generators 33840cu1 [0,0,0,528,4336] 1 [17:135:1]
33840cv (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  3 -2 -1 -3  3
Curve Equation t Generators 33840cv1 [0,0,0,933,1226] 1 [7:90:1]
33840cw (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  3 -5 -1 -2  1
Curve Equation t Generators 33840cw1 [0,0,0,-1587,23794] 1 [15:58:1]

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