Cremona's table of elliptic curves

104040 = 2³ · 3² · 5 · 17²

Class	r	Atkin-Lehner	Eigenvalues
104040a (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  1 -5 -2 17+ -1
Curve Equation t Generators 104040a1 [0,0,0,1377,7803] 1 [51:459:1]
104040b (2 curves)	1	2+ 3+ 5+ 17+	2+ 3+ 5+ -2  2  4 17+  4
Curve Equation t Generators 104040b1 [0,0,0,-7803,2387718] 2 [3247:184960:1] 104040b2 [0,0,0,-319923,69243822] 2 [408170:22995152:125]
104040c (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  3 -3  4 17+ -1
Curve Equation t Generators 104040c1 [0,0,0,-129183,-22152717] 1 [3171:177351:1]
104040d (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+ -3  5  0 17+ -5
Curve Equation t Generators 104040d1 [0,0,0,-7803,348823] 1 [51:-289:1]
104040e (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+ -3  6  1 17+ -1
Curve Equation t Generators 104040e1 [0,0,0,102,153] 1 [4:-25:1]
104040f (2 curves)	0	2+ 3+ 5- 17+	2+ 3+ 5-  0  2  6 17+ -8
Curve Equation t 104040f1 [0,0,0,16473,-3645446] 2 104040f2 [0,0,0,-278307,-52755794] 2
104040g (1 curve)	0	2+ 3+ 5- 17+	2+ 3+ 5- -1  5 -2 17+ -1
Curve Equation t 104040g1 [0,0,0,397953,38336139] 1
104040h (1 curve)	1	2+ 3+ 5- 17-	2+ 3+ 5-  3 -6  1 17- -1
Curve Equation t Generators 104040h1 [0,0,0,29478,751689] 1 [0:867:1]
104040i (4 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  0  0 -2 17+ -4
Curve Equation t 104040i1 [0,0,0,-371943,-87284358] 2 104040i2 [0,0,0,-423963,-61284762] 4 104040i3 [0,0,0,1344717,-440136018] 2 104040i4 [0,0,0,-3024963,1981540638] 2
104040j (4 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  0 -4 -2 17+  4
Curve Equation t 104040j1 [0,0,0,22542,4367657] 2 104040j2 [0,0,0,-302583,58533482] 4 104040j3 [0,0,0,-1082883,-368602738] 2 104040j4 [0,0,0,-4724283,3952282502] 2
104040k (4 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  0 -4  6 17+  4
Curve Equation t 104040k1 [0,0,0,-2474418,-1228205783] 2 104040k2 [0,0,0,-11955063,14792188138] 4 104040k3 [0,0,0,11922117,66505384582] 2 104040k4 [0,0,0,-187522563,988384202638] 2
104040l (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+  0  5  4 17+  7
Curve Equation t 104040l1 [0,0,0,-46308,-3835132] 1
104040m (1 curve)	2	2+ 3- 5+ 17+	2+ 3- 5+  1 -2 -3 17+  3
Curve Equation t Generators 104040m1 [0,0,0,357,5542] 1 [-9:40:1]&[-1:72:1]
104040n (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+  3  0  4 17+ -4
Curve Equation t 104040n1 [0,0,0,-1683,26622] 1
104040o (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+  3 -4  0 17+ -8
Curve Equation t 104040o1 [0,0,0,-250563,-661653362] 1
104040p (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+  3 -4 -5 17+  7
Curve Equation t 104040p1 [0,0,0,-96686463,365929079762] 1
104040q (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+  3  5 -2 17+ -5
Curve Equation t 104040q1 [0,0,0,-1342983,-668703517] 1
104040r (2 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  4  4 -4 17+  0
Curve Equation t 104040r1 [0,0,0,357,10982] 2 104040r2 [0,0,0,-5763,156638] 2
104040s (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+  1  0  3 17- -5
Curve Equation t Generators 104040s1 [0,0,0,9537,301138] 1 [-1:540:1]
104040t (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+ -1 -4 -1 17- -7
Curve Equation t Generators 104040t1 [0,0,0,-29478,11442377] 1 [1156:39015:1]
104040u (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+  2  5  2 17- -1
Curve Equation t Generators 104040u1 [0,0,0,-3468,-77452] 1 [-34:34:1]
104040v (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+  3 -2 -3 17-  7
Curve Equation t Generators 104040v1 [0,0,0,-5348523,4765667222] 1 [1471:9000:1]
104040w (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+ -3 -5 -3 17-  4
Curve Equation t Generators 104040w1 [0,0,0,6824157,-75001858] 1 [27232500843602:9066870923250708:576138060161]
104040x (6 curves)	1	2+ 3- 5- 17+	2+ 3- 5-  0 -4  6 17+ -4
Curve Equation t Generators 104040x1 [0,0,0,-39882,-3060799] 2 [-20131720:11955411:175616] 104040x2 [0,0,0,-52887,-894166] 4 [49521:2103920:27] 104040x3 [0,0,0,207213,-7084546] 2 [21498100:746298441:140608] 104040x4 [0,0,0,-521067,143960726] 4 [382:810:1] 104040x5 [0,0,0,-208947,314815214] 2 [7318:625050:1] 104040x6 [0,0,0,-8324067,9243819326] 2 [60146:4876875:8]
104040y (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5-  1  4 -1 17+ -7
Curve Equation t Generators 104040y1 [0,0,0,-102,2329] 1 [8:-45:1]
104040z (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5- -1  0  3 17+ -5
Curve Equation t Generators 104040z1 [0,0,0,2756193,1479490994] 1 [778:63990:1]
104040ba (2 curves)	1	2+ 3- 5- 17+	2+ 3- 5-  2  0  0 17+  4
Curve Equation t Generators 104040ba1 [0,0,0,-104907,-18757834] 2 [4128963246320:217579655009331:1466003456] 104040ba2 [0,0,0,-1873587,-986933266] 2 [5769800:607752261:512]
104040bb (2 curves)	1	2+ 3- 5- 17+	2+ 3- 5- -2 -2  2 17+  8
Curve Equation t Generators 104040bb1 [0,0,0,-9208407,10755352906] 2 [1742:720:1] 104040bb2 [0,0,0,-9156387,10882874734] 2 [-1377:144500:1]
104040bc (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5- -2  4 -1 17+ -1
Curve Equation t Generators 104040bc1 [0,0,0,-867,2662846] 1 [-3570:204034:125]
104040bd (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5- -2 -5  2 17+ -1
Curve Equation t Generators 104040bd1 [0,0,0,-1002252,-380521676] 1 [-630:922:1]
104040be (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5-  3 -1 -6 17+ -1
Curve Equation t Generators 104040be1 [0,0,0,-7387707,-10978162369] 1 [20587:2926125:1]
104040bf (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5-  3  5 -3 17+  4
Curve Equation t Generators 104040bf1 [0,0,0,23613,-15266] 1 [98:1800:1]
104040bg (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5- -3 -1 -6 17+ -5
Curve Equation t Generators 104040bg1 [0,0,0,51153,-4190789] 1 [527:13005:1]
104040bh (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5- -3  2 -3 17+  7
Curve Equation t Generators 104040bh1 [0,0,0,-1545723147,23413723061686] 1 [26807:1114200:1]
104040bi (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5- -3  5  0 17+ -1
Curve Equation t Generators 104040bi1 [0,0,0,-248344347,1506363566231] 1 [1201730:10744731:125]
104040bj (4 curves)	1	2+ 3- 5- 17+	2+ 3- 5-  4  4  2 17+ -4
Curve Equation t Generators 104040bj1 [0,0,0,-885207,-469397846] 2 [4567737894545:85167634569408:3504881359] 104040bj2 [0,0,0,-15918987,-24442263434] 4 [478471635413200342477857:34977308173638808620496000:61419994832825467831] 104040bj3 [0,0,0,-17687667,-18675305426] 2 [-170144249431288:-7892663707399545:106766262784] 104040bj4 [0,0,0,-254690787,-1564472619074] 2 [12423948646241571009408083214785110081833318:-1152577764990051670624565482626569803848330800:545093074983477262540150888834622893363]
104040bk (2 curves)	1	2+ 3- 5- 17+	2+ 3- 5- -4 -4 -4 17+  0
Curve Equation t Generators 104040bk1 [0,0,0,103173,53954566] 2 [397000:12542877:512] 104040bk2 [0,0,0,-1665507,769562494] 2 [338:15660:1]
104040bl (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5-  0 -5  4 17-  7
Curve Equation t 104040bl1 [0,0,0,-13383012,-18842003516] 1
104040bm (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5- -1  2 -3 17-  3
Curve Equation t 104040bm1 [0,0,0,103173,27227846] 1
104040bn (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5- -3  0  4 17- -4
Curve Equation t 104040bn1 [0,0,0,-486387,130793886] 1
104040bo (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5- -3  4  0 17- -8
Curve Equation t 104040bo1 [0,0,0,-867,-134674] 1
104040bp (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5- -3  4 -5 17-  7
Curve Equation t 104040bp1 [0,0,0,-27942387807,1797809568870706] 1
104040bq (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  0 -2  6 17+ -8
Curve Equation t 104040bq1 [0,0,0,148257,98427042] 2 104040bq2 [0,0,0,-2504763,1424406438] 2
104040br (1 curve)	2	2- 3+ 5+ 17+	2- 3+ 5+ -1 -5 -2 17+ -1
Curve Equation t Generators 104040br1 [0,0,0,44217,-1419857] 1 [578:-14739:1]&[137:2685:1]
104040bs (1 curve)	1	2- 3+ 5+ 17-	2- 3+ 5+  3  6  1 17- -1
Curve Equation t Generators 104040bs1 [0,0,0,265302,-20295603] 1 [43218:3190725:8]
104040bt (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  1  5 -2 17+ -1
Curve Equation t Generators 104040bt1 [0,0,0,153,-289] 1 [17:85:1]
104040bu (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5- -2 -2  4 17+  4
Curve Equation t Generators 104040bu1 [0,0,0,-867,-88434] 2 [6715:550256:1] 104040bu2 [0,0,0,-35547,-2564586] 2 [-4033998:2016525:39304]
104040bv (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  3  3  4 17+ -1
Curve Equation t Generators 104040bv1 [0,0,0,-1162647,598123359] 1 [-212058:11275335:343]
104040bw (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5- -3 -5  0 17+ -5
Curve Equation t Generators 104040bw1 [0,0,0,-70227,-9418221] 1 [1173:39015:1]
104040bx (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5- -3 -6  1 17+ -1
Curve Equation t Generators 104040bx1 [0,0,0,918,-4131] 1 [18:-135:1]
104040by (4 curves)	1	2- 3- 5+ 17+	2- 3- 5+  0  0 -2 17+  4
Curve Equation t Generators 104040by1 [0,0,0,-81498,-8700923] 2 [3782:231903:1] 104040by2 [0,0,0,-198543,21941458] 4 [-459:4046:1] 104040by3 [0,0,0,581757,151939438] 2 [-189:5936:1] 104040by4 [0,0,0,-2851563,1853055862] 2 [15147:1853068:1]
104040bz (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  1  5 -2 17+ -1
Curve Equation t Generators 104040bz1 [0,0,0,-1361343,739737983] 1 [87074:9034497:8]
104040ca (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  1 -5  4 17+ -1
Curve Equation t Generators 104040ca1 [0,0,0,5471637,-15122710213] 1 [18409:2514807:1]
104040cb (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -1 -3  6 17+ -5
Curve Equation t Generators 104040cb1 [0,0,0,357,12427] 1 [17:-153:1]
104040cc (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -1 -4 -1 17+ -1
Curve Equation t Generators 104040cc1 [0,0,0,-278103,-59912998] 1 [2449:118098:1]
104040cd (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -1  5  2 17+ -1
Curve Equation t Generators 104040cd1 [0,0,0,-42483,3394883] 1 [-119:2601:1]
104040ce (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  2  0 -2 17+ -8
Curve Equation t Generators 104040ce1 [0,0,0,-103683,12849518] 2 [34:3060:1] 104040ce2 [0,0,0,-109803,11247302] 2 [26:2900:1]
104040cf (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -2  3 -4 17+ -5
Curve Equation t Generators 104040cf1 [0,0,0,-3468,-70108] 1 [-32:90:1]
104040cg (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  3  3  4 17+ -5
Curve Equation t Generators 104040cg1 [0,0,0,19881177,168563217103] 1 [510561:364828109:1]
104040ch (4 curves)	1	2- 3- 5+ 17+	2- 3- 5+  4  0  2 17+  4
Curve Equation t Generators 104040ch1 [0,0,0,-52634703,-4461691102702] 2 [1437864773395428908629033424842688515757573:209233020888630189668243648562087547831416030:50433236492264153495715681130112146349] 104040ch2 [0,0,0,-4397397123,-111072602412178] 4 [2438785150028016199250593748568674581027732360435965793198530537077538248785:-583167537857349320106979713727811161806021158139272953265146887906809236975952:22659744645123682839322451660274676788316016769052623541501042631745875] 104040ch3 [0,0,0,-8155842123,106919462654822] 2 [2099078656558441732153324863145793998725019106435939829297408150240584533277711290104481888635482287973416992815023465674237582772989774612354453867770:-463247795046753356400779180272440865781151934489513089841009374978268198788759240087299365734790036166301777349978907265779263691703375836907784802791969:18630431982691339959488040267985210632246437316850787149276280485502598893183749472037758234279038732965482992372491351413094682194715463670553000] 104040ch4 [0,0,0,-70155150843,-7152162991285642] 2 [942882174044247590667449495597478355363699988477915805312483409390880917458222238862042466327399110148909186530257103980515696178273905884741917676270:575126477638664285522620162749003915613251723799777568569992244233363871415581115877945335959233981427349803071581141342330665327261690471041943330633706:1779300198969136480002338981767406951940370111870480708855699090457652679444005517880816728470284580152747168790328825443055767512264206047843625]
104040ci (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  4  1  4 17+ -1
Curve Equation t Generators 104040ci1 [0,0,0,-19042788,31969500212] 1 [196635388:69130926:79507]
104040cj (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  4  2  1 17+  5
Curve Equation t Generators 104040cj1 [0,0,0,-2019243,-1127366458] 1 [24986042279102524009818732115658303410357994:19922142052459929229352033827566543305449104124:39302318876046343282677157242778027657]
104040ck (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+ -4  0 -2 17+  4
Curve Equation t Generators 104040ck1 [0,0,0,-29478,-15618427] 2 [3538:210159:1] 104040ck2 [0,0,0,-1134903,-462873382] 2 [-587:1026:1]
104040cl (4 curves)	1	2- 3- 5+ 17+	2- 3- 5+ -4  0 -6 17+  4
Curve Equation t Generators 104040cl1 [0,0,0,9537,167042] 2 [17:578:1] 104040cl2 [0,0,0,-42483,1405118] 4 [-101:2160:1] 104040cl3 [0,0,0,-354603,-80307898] 2 [782:10982:1] 104040cl4 [0,0,0,-562683,162354998] 2 [766:13446:1]
104040cm (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+ -4  4 -2 17+ -4
Curve Equation t Generators 104040cm1 [0,0,0,-4998,80053] 2 [-34:459:1] 104040cm2 [0,0,0,15657,571642] 2 [17:918:1]
104040cn (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+  5  0 -1 17- -5
Curve Equation t 104040cn1 [0,0,0,-1134903,598177402] 1
104040co (4 curves)	0	2- 3- 5- 17+	2- 3- 5-  0  0 -2 17+ -4
Curve Equation t 104040co1 [0,0,0,-5970162,-5614709051] 2 104040co2 [0,0,0,-5983167,-5589018974] 4 104040co3 [0,0,0,-1769547,-13310898986] 2 104040co4 [0,0,0,-10404867,3777025966] 2
104040cp (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  1  3  6 17+ -5
Curve Equation t 104040cp1 [0,0,0,103173,61053851] 1
104040cq (1 curve)	2	2- 3- 5- 17+	2- 3- 5-  1 -3 -4 17+ -5
Curve Equation t Generators 104040cq1 [0,0,0,-573087,-167990209] 1 [1037:18785:1]&[1105:23409:1]
104040cr (1 curve)	0	2- 3- 5- 17+	2- 3- 5- -1 -5 -2 17+ -1
Curve Equation t 104040cr1 [0,0,0,-393428127,3634332710479] 1
104040cs (2 curves)	0	2- 3- 5- 17+	2- 3- 5- -2  0 -2 17+ -8
Curve Equation t 104040cs1 [0,0,0,-29964387,63129681934] 2 104040cs2 [0,0,0,-31733067,55257994726] 2
104040ct (2 curves)	0	2- 3- 5- 17+	2- 3- 5- -2  4  4 17+ -4
Curve Equation t 104040ct1 [0,0,0,207213,56587934] 2 104040ct2 [0,0,0,-1561467,603817526] 2
104040cu (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  3 -3  4 17+ -1
Curve Equation t 104040cu1 [0,0,0,-867,407779] 1
104040cv (2 curves)	0	2- 3- 5- 17+	2- 3- 5-  4  0 -2 17+  4
Curve Equation t 104040cv1 [0,0,0,-102,-3179] 2 104040cv2 [0,0,0,-3927,-94214] 2
104040cw (4 curves)	0	2- 3- 5- 17+	2- 3- 5-  4  4 -2 17+  4
Curve Equation t 104040cw1 [0,0,0,-5202,-132651] 2 104040cw2 [0,0,0,-18207,795906] 4 104040cw3 [0,0,0,33813,4510134] 2 104040cw4 [0,0,0,-278307,56509326] 2
104040cx (2 curves)	0	2- 3- 5- 17+	2- 3- 5-  4 -4 -2 17+ -4
Curve Equation t 104040cx1 [0,0,0,-1444422,393300389] 2 104040cx2 [0,0,0,4524873,2808477146] 2
104040cy (1 curve)	0	2- 3- 5- 17+	2- 3- 5- -4 -2  1 17+  5
Curve Equation t 104040cy1 [0,0,0,-6987,-229466] 1
104040cz (1 curve)	2	2- 3- 5- 17+	2- 3- 5- -5  0 -1 17+ -5
Curve Equation t Generators 104040cz1 [0,0,0,-3927,121754] 1 [-67:290:1]&[-47:450:1]
104040da (1 curve)	1	2- 3- 5- 17-	2- 3- 5-  1  4 -1 17- -1
Curve Equation t Generators 104040da1 [0,0,0,-80371767,-294352559174] 1 [18017348950191:502023463262330:1672446203]
104040db (1 curve)	1	2- 3- 5- 17-	2- 3- 5-  2 -3 -4 17- -5
Curve Equation t Generators 104040db1 [0,0,0,-1002252,-344440604] 1 [-688:4410:1]
104040dc (1 curve)	1	2- 3- 5- 17-	2- 3- 5- -4 -1  4 17- -1
Curve Equation t Generators 104040dc1 [0,0,0,-65892,6507124] 1 [68:1530:1]

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

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