Cremona's table of elliptic curves

126990 = 2 · 3² · 5 · 17 · 83

Class	r	Atkin-Lehner	Eigenvalues
126990a (1 curve)	1	2+ 3+ 5+ 17+ 83+	2+ 3+ 5+ -3  3 -5 17+ -8
Curve Equation t Generators 126990a1 [1,-1,0,0,-664] 1 [13:31:1]
126990b (1 curve)	0	2+ 3+ 5+ 17- 83+	2+ 3+ 5+ -1  3 -5 17- -6
Curve Equation t 126990b1 [1,-1,0,-2985,-68275] 1
126990c (1 curve)	0	2+ 3+ 5+ 17- 83+	2+ 3+ 5+  5 -3  1 17-  4
Curve Equation t 126990c1 [1,-1,0,-255180,-49979024] 1
126990d (2 curves)	0	2+ 3+ 5- 17+ 83+	2+ 3+ 5- -1  3  5 17+ -4
Curve Equation t 126990d1 [1,-1,0,-60384,5730138] 3 126990d2 [1,-1,0,61491,24592013] 1
126990e (2 curves)	1	2+ 3+ 5- 17+ 83-	2+ 3+ 5- -4  6 -4 17+ -8
Curve Equation t Generators 126990e1 [1,-1,0,-1479,22253] 2 [17:34:1] 126990e2 [1,-1,0,-1179,31313] 2 [19:-134:1]
126990f (2 curves)	1	2+ 3+ 5- 17- 83+	2+ 3+ 5- -1 -3 -1 17- -4
Curve Equation t Generators 126990f1 [1,-1,0,15936,28206720] 3 [-1242:38121:8] 126990f2 [1,-1,0,-143439,-762155155] 1 [34118:2191001:8]
126990g (2 curves)	1	2+ 3+ 5- 17- 83+	2+ 3+ 5-  4 -2 -4 17-  4
Curve Equation t Generators 126990g1 [1,-1,0,-1572007149,23990624649893] 2 [23357:111784:1] 126990g2 [1,-1,0,-25152187629,1535371724587685] 2 [86971:2343952:1]
126990h (4 curves)	0	2+ 3- 5+ 17+ 83+	2+ 3- 5+  0  0 -2 17+  4
Curve Equation t 126990h1 [1,-1,0,-1324680,584187200] 2 126990h2 [1,-1,0,-21165000,37483214336] 4 126990h3 [1,-1,0,-21135120,37594302200] 2 126990h4 [1,-1,0,-338640000,2398671779336] 2
126990i (1 curve)	0	2+ 3- 5+ 17+ 83+	2+ 3- 5+  0 -1  5 17+ -3
Curve Equation t 126990i1 [1,-1,0,-2483640,-1482987200] 1
126990j (1 curve)	0	2+ 3- 5+ 17+ 83+	2+ 3- 5+  2 -2  2 17+  3
Curve Equation t 126990j1 [1,-1,0,-3449098125,-77965350467355] 1
126990k (1 curve)	0	2+ 3- 5+ 17+ 83+	2+ 3- 5+  3  5 -1 17+  6
Curve Equation t 126990k1 [1,-1,0,315,-5009] 1
126990l (1 curve)	0	2+ 3- 5+ 17+ 83+	2+ 3- 5+ -3 -1  1 17+  4
Curve Equation t 126990l1 [1,-1,0,28350,742036] 1
126990m (2 curves)	0	2+ 3- 5+ 17+ 83+	2+ 3- 5+ -4  4  2 17+ -4
Curve Equation t 126990m1 [1,-1,0,21915,-586859] 2 126990m2 [1,-1,0,-97605,-4865675] 2
126990n (1 curve)	1	2+ 3- 5+ 17+ 83-	2+ 3- 5+  0 -2  5 17+ -5
Curve Equation t Generators 126990n1 [1,-1,0,300,-6814] 1 [399:506:27]
126990o (2 curves)	1	2+ 3- 5+ 17+ 83-	2+ 3- 5+ -2  0 -6 17+ -4
Curve Equation t Generators 126990o1 [1,-1,0,-7155,-323595] 2 [198:-2547:1] 126990o2 [1,-1,0,-126675,-17319339] 2 [-207:126:1]
126990p (1 curve)	1	2+ 3- 5+ 17+ 83-	2+ 3- 5+ -2 -3 -3 17+ -1
Curve Equation t Generators 126990p1 [1,-1,0,-1805355,537704325] 1 [-42:24789:1]
126990q (1 curve)	1	2+ 3- 5+ 17+ 83-	2+ 3- 5+ -3 -1 -1 17+  0
Curve Equation t Generators 126990q1 [1,-1,0,1685664045,8592405640501] 1 [2187413049641300220755107:666252383453866671147595714:68373726154511672159]
126990r (1 curve)	1	2+ 3- 5+ 17+ 83-	2+ 3- 5+ -3 -1  4 17+ -5
Curve Equation t Generators 126990r1 [1,-1,0,-29835,-1979429] 1 [3886:77239:8]
126990s (1 curve)	1	2+ 3- 5+ 17+ 83-	2+ 3- 5+ -4  5 -3 17+ -5
Curve Equation t Generators 126990s1 [1,-1,0,-2295,-32675] 1 [-34:89:1]
126990t (1 curve)	1	2+ 3- 5+ 17- 83+	2+ 3- 5+ -1 -5  0 17- -7
Curve Equation t Generators 126990t1 [1,-1,0,990,-110700] 1 [51:240:1]
126990u (1 curve)	1	2+ 3- 5+ 17- 83+	2+ 3- 5+  2 -3  1 17-  1
Curve Equation t Generators 126990u1 [1,-1,0,-180,-860] 1 [-7:8:1]
126990v (1 curve)	0	2+ 3- 5+ 17- 83-	2+ 3- 5+ -2 -5  1 17- -1
Curve Equation t 126990v1 [1,-1,0,-687510,-219242700] 1
126990w (1 curve)	1	2+ 3- 5- 17+ 83+	2+ 3- 5-  3 -3  6 17+  1
Curve Equation t Generators 126990w1 [1,-1,0,-345429,-78078515] 1 [10481:1066007:1]
126990x (1 curve)	1	2+ 3- 5- 17+ 83+	2+ 3- 5- -3 -3 -3 17+ -2
Curve Equation t Generators 126990x1 [1,-1,0,-87354,9959260] 1 [171:-83:1]
126990y (1 curve)	1	2+ 3- 5- 17+ 83+	2+ 3- 5- -3 -3 -3 17+  6
Curve Equation t Generators 126990y1 [1,-1,0,-73222884,-253578749360] 1 [25311:3743407:1]
126990z (2 curves)	1	2+ 3- 5- 17+ 83+	2+ 3- 5-  4 -2  2 17+  4
Curve Equation t Generators 126990z1 [1,-1,0,-1494,0] 2 [-9:117:1] 126990z2 [1,-1,0,5976,-4482] 2 [39:516:1]
126990ba (1 curve)	1	2+ 3- 5- 17+ 83+	2+ 3- 5- -5  1  2 17+  1
Curve Equation t Generators 126990ba1 [1,-1,0,1773126,-133385292] 1 [1085633412651:65174258723472:11743520417]
126990bb (1 curve)	0	2+ 3- 5- 17+ 83-	2+ 3- 5- -1 -5  1 17+  0
Curve Equation t 126990bb1 [1,-1,0,-21069,1759333] 1
126990bc (2 curves)	0	2+ 3- 5- 17+ 83-	2+ 3- 5-  2  0  2 17+  4
Curve Equation t 126990bc1 [1,-1,0,-33864,-1922752] 2 126990bc2 [1,-1,0,-511944,-140852800] 2
126990bd (2 curves)	0	2+ 3- 5- 17+ 83-	2+ 3- 5-  2 -3  5 17+ -1
Curve Equation t 126990bd1 [1,-1,0,-21384,744768] 1 126990bd2 [1,-1,0,-1539144,735350400] 3
126990be (1 curve)	0	2+ 3- 5- 17+ 83-	2+ 3- 5-  2 -3 -5 17+ -3
Curve Equation t 126990be1 [1,-1,0,351,-4995] 1
126990bf (1 curve)	0	2+ 3- 5- 17+ 83-	2+ 3- 5-  5  3 -1 17+ -2
Curve Equation t 126990bf1 [1,-1,0,306,-1292] 1
126990bg (1 curve)	1	2+ 3- 5- 17- 83-	2+ 3- 5- -1  5  3 17-  4
Curve Equation t Generators 126990bg1 [1,-1,0,-11484,-471312] 1 [867:24879:1]
126990bh (1 curve)	1	2+ 3- 5- 17- 83-	2+ 3- 5- -2  4 -5 17- -1
Curve Equation t Generators 126990bh1 [1,-1,0,-24274006029,-1455655107179547] 1 [656433419794:376563114527603:1643032]
126990bi (2 curves)	1	2+ 3- 5- 17- 83-	2+ 3- 5- -4 -4  0 17-  4
Curve Equation t Generators 126990bi1 [1,-1,0,-16929,852525] 2 [54:279:1] 126990bi2 [1,-1,0,-270909,54340713] 2 [303:-219:1]
126990bj (2 curves)	1	2- 3+ 5+ 17+ 83-	2- 3+ 5+ -1  3 -1 17+ -4
Curve Equation t Generators 126990bj1 [1,-1,1,-15938,28233281] 3 [225:5887:1] 126990bj2 [1,-1,1,143422,-761724863] 1 [799939:37568609:343]
126990bk (2 curves)	1	2- 3+ 5+ 17+ 83-	2- 3+ 5+  4  2 -4 17+  4
Curve Equation t Generators 126990bk1 [1,-1,1,-14148064343,-647732717482769] 2 [17969607449071316089:30778588233927533152922:6111423471187] 126990bk2 [1,-1,1,-226369688663,-41454810194178833] 2 [4979803107099758661426909148588005:8439904454902457101590337547892256346:1684942579621920876952341375]
126990bl (2 curves)	1	2- 3+ 5+ 17- 83+	2- 3+ 5+ -4 -6 -4 17- -8
Curve Equation t Generators 126990bl1 [1,-1,1,-13313,-587519] 2 [-67:50:1] 126990bl2 [1,-1,1,-10613,-834839] 2 [203:2210:1]
126990bm (2 curves)	0	2- 3+ 5+ 17- 83-	2- 3+ 5+ -1 -3  5 17- -4
Curve Equation t 126990bm1 [1,-1,1,6832,-913093] 3 126990bm2 [1,-1,1,-543458,-154170269] 1
126990bn (1 curve)	2	2- 3+ 5- 17+ 83-	2- 3+ 5- -1 -3 -5 17+ -6
Curve Equation t Generators 126990bn1 [1,-1,1,-332,2639] 1 [-21:13:1]&[-3:61:1]
126990bo (1 curve)	0	2- 3+ 5- 17+ 83-	2- 3+ 5-  5  3  1 17+  4
Curve Equation t 126990bo1 [1,-1,1,-2296622,1351730269] 1
126990bp (1 curve)	1	2- 3+ 5- 17- 83-	2- 3+ 5- -3 -3 -5 17- -8
Curve Equation t Generators 126990bp1 [1,-1,1,-2,17929] 1 [7:-139:1]
126990bq (1 curve)	1	2- 3- 5+ 17+ 83+	2- 3- 5+ -3 -3  4 17+ -5
Curve Equation t Generators 126990bq1 [1,-1,1,-128,667] 1 [7:5:1]
126990br (2 curves)	0	2- 3- 5+ 17+ 83-	2- 3- 5+  2  4  6 17+  0
Curve Equation t 126990br1 [1,-1,1,-34089233,65749156481] 2 126990br2 [1,-1,1,-523643153,4612138500737] 2
126990bs (1 curve)	2	2- 3- 5+ 17+ 83-	2- 3- 5+ -2 -3 -1 17+ -3
Curve Equation t Generators 126990bs1 [1,-1,1,-4331048,3436832747] 1 [-2355:25081:1]&[301:46329:1]
126990bt (4 curves)	0	2- 3- 5+ 17- 83+	2- 3- 5+  0  0  2 17-  4
Curve Equation t 126990bt1 [1,-1,1,5422,-5026863] 2 126990bt2 [1,-1,1,-409298,-98255919] 4 126990bt3 [1,-1,1,-949298,215808081] 2 126990bt4 [1,-1,1,-6504818,-6383956143] 2
126990bu (1 curve)	1	2- 3- 5+ 17- 83-	2- 3- 5+  1 -1  5 17- -2
Curve Equation t Generators 126990bu1 [1,-1,1,26842,3777077] 1 [-15:1843:1]
126990bv (2 curves)	1	2- 3- 5+ 17- 83-	2- 3- 5+  2  3 -1 17- -7
Curve Equation t Generators 126990bv1 [1,-1,1,-20588,-1131469] 1 [-60147:43919:729] 126990bv2 [1,-1,1,-59063,4122191] 3 [-227:2520:1]
126990bw (1 curve)	1	2- 3- 5+ 17- 83-	2- 3- 5+ -2 -2 -2 17- -1
Curve Equation t Generators 126990bw1 [1,-1,1,-13703,-866113] 1 [261:3514:1]
126990bx (1 curve)	1	2- 3- 5+ 17- 83-	2- 3- 5+  4  2 -1 17- -5
Curve Equation t Generators 126990bx1 [1,-1,1,-20048,-1145293] 1 [397:7105:1]
126990by (1 curve)	0	2- 3- 5- 17+ 83+	2- 3- 5-  3 -5 -1 17+ -6
Curve Equation t 126990by1 [1,-1,1,-4622,125871] 1
126990bz (1 curve)	1	2- 3- 5- 17+ 83-	2- 3- 5-  1 -1 -4 17+  1
Curve Equation t Generators 126990bz1 [1,-1,1,14953,-731491] 1 [18784485494910:294524453441093:90518849000]
126990ca (2 curves)	1	2- 3- 5- 17+ 83-	2- 3- 5-  2  0 -2 17+  0
Curve Equation t Generators 126990ca1 [1,-1,1,5323,-83059] 2 [165:2212:1] 126990ca2 [1,-1,1,-24557,-692611] 2 [-123:736:1]
126990cb (1 curve)	1	2- 3- 5- 17+ 83-	2- 3- 5-  2 -2  2 17+ -7
Curve Equation t Generators 126990cb1 [1,-1,1,-77,-439] 1 [39:214:1]
126990cc (2 curves)	1	2- 3- 5- 17+ 83-	2- 3- 5-  2  4 -2 17+  0
Curve Equation t Generators 126990cc1 [1,-1,1,-5183672,-4541300229] 2 [18771:2542449:1] 126990cc2 [1,-1,1,-5213552,-4486273221] 2 [-1453:5181:1]
126990cd (1 curve)	1	2- 3- 5- 17+ 83-	2- 3- 5-  2 -6 -2 17+ -3
Curve Equation t Generators 126990cd1 [1,-1,1,-604877,-924879499] 1 [1551:42424:1]
126990ce (2 curves)	1	2- 3- 5- 17+ 83-	2- 3- 5- -2  0  2 17+  0
Curve Equation t Generators 126990ce1 [1,-1,1,317398,69336101] 2 [189:11569:1] 126990ce2 [1,-1,1,-1841432,659991989] 2 [-8874:296933:8]
126990cf (2 curves)	1	2- 3- 5- 17+ 83-	2- 3- 5- -4  4 -4 17+ -4
Curve Equation t Generators 126990cf1 [1,-1,1,-3284987,-1943322901] 2 [-773:11946:1] 126990cf2 [1,-1,1,5931013,-10890215701] 2 [1947:88666:1]
126990cg (1 curve)	1	2- 3- 5- 17- 83+	2- 3- 5-  0  1 -1 17-  3
Curve Equation t Generators 126990cg1 [1,-1,1,-10337,362049] 1 [257:-3954:1]
126990ch (1 curve)	1	2- 3- 5- 17- 83+	2- 3- 5- -1  1 -3 17-  2
Curve Equation t Generators 126990ch1 [1,-1,1,-14252,1042679] 1 [-33:1231:1]
126990ci (2 curves)	1	2- 3- 5- 17- 83+	2- 3- 5- -1 -3  5 17-  2
Curve Equation t Generators 126990ci1 [1,-1,1,-115503242,-477763751959] 1 [89661:26600119:1] 126990ci2 [1,-1,1,-99670577,-613409312671] 3 [15087:1139956:1]
126990cj (1 curve)	1	2- 3- 5- 17- 83+	2- 3- 5-  3  3  0 17- -5
Curve Equation t Generators 126990cj1 [1,-1,1,-1000472,-399991269] 1 [1325:23817:1]
126990ck (1 curve)	2	2- 3- 5- 17- 83-	2- 3- 5- -2 -5 -5 17-  5
Curve Equation t Generators 126990ck1 [1,-1,1,-851702,301989701] 1 [-8322:66887:8]&[-509:24819:1]
126990cl (1 curve)	2	2- 3- 5- 17- 83-	2- 3- 5- -3 -3 -3 17- -8
Curve Equation t Generators 126990cl1 [1,-1,1,-180392,29969291] 1 [231:649:1]&[-449:4729:1]
126990cm (1 curve)	2	2- 3- 5- 17- 83-	2- 3- 5- -5 -5 -5 17-  2
Curve Equation t Generators 126990cm1 [1,-1,1,-13397,45905069] 1 [-353:2736:1]&[-273:-5264:1]

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

Part of Computational Number Theory
Back to Tables and computations