Cremona's table of elliptic curves

87906 = 2 · 3 · 7² · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
87906a (1 curve)	0	2+ 3+ 7+ 13+ 23-	2+ 3+ -2 7+ -3 13+  1 -6
Curve Equation t 87906a1 [1,1,0,-6573816,-6490787904] 1
87906b (2 curves)	0	2+ 3+ 7- 13+ 23+	2+ 3+  0 7-  2 13+  6  6
Curve Equation t 87906b1 [1,1,0,-1495,-150443] 2 87906b2 [1,1,0,-52455,-4624731] 2
87906c (4 curves)	1	2+ 3+ 7- 13+ 23-	2+ 3+  0 7-  0 13+  0 -2
Curve Equation t Generators 87906c1 [1,1,0,955,1278201] 2 [-8:1131:1] 87906c2 [1,1,0,-171035,26629527] 2 [-71:6234:1] 87906c3 [1,1,0,-861200,307282368] 2 [496:1320:1] 87906c4 [1,1,0,-13779560,19682238696] 2 [17150:-7937:8]
87906d (2 curves)	1	2+ 3+ 7- 13+ 23-	2+ 3+  0 7-  0 13+  0  6
Curve Equation t Generators 87906d1 [1,1,0,35990,4079188] 2 [-53:1450:1] 87906d2 [1,1,0,-269770,43155316] 2 [1515:55051:1]
87906e (1 curve)	1	2+ 3+ 7- 13+ 23-	2+ 3+ -3 7-  3 13+ -6 -6
Curve Equation t Generators 87906e1 [1,1,0,-919874,339207156] 1 [505:1691:1]
87906f (2 curves)	1	2+ 3+ 7- 13- 23+	2+ 3+  2 7-  6 13- -2 -4
Curve Equation t Generators 87906f1 [1,1,0,-352577614,-2548306686848] 2 [122190005337466562926735928305814614751116383614594031:-25970333188168293382167006316131146091904313463403538323:2323612180539214873830663409660915610466288095159] 87906f2 [1,1,0,-344342184,-2673002626650] 2 [117438644867228051955776182875:52828950110802989487175143522705:574118236625722468464023]
87906g (2 curves)	1	2+ 3+ 7- 13- 23+	2+ 3+  4 7- -4 13-  4  2
Curve Equation t Generators 87906g1 [1,1,0,-102043,-13068215] 2 [72570:19513195:1] 87906g2 [1,1,0,-1649953,-816433505] 2 [497787040290:133833026422069:6859000]
87906h (2 curves)	1	2+ 3+ 7- 13- 23+	2+ 3+ -4 7-  0 13- -8  2
Curve Equation t Generators 87906h1 [1,1,0,-695972,1041696720] 2 [671:29285:1] 87906h2 [1,1,0,-20264612,34993287120] 2 [2719:764:1]
87906i (2 curves)	0	2+ 3+ 7- 13- 23-	2+ 3+ -2 7-  2 13-  0 -4
Curve Equation t 87906i1 [1,1,0,-66868561,-210505665131] 2 87906i2 [1,1,0,-1069914241,-13470568945595] 2
87906j (1 curve)	0	2+ 3+ 7- 13- 23-	2+ 3+ -4 7-  0 13-  4 -4
Curve Equation t 87906j1 [1,1,0,-3043317,-2044807155] 1
87906k (1 curve)	1	2+ 3- 7+ 13+ 23-	2+ 3-  4 7+  0 13+ -4  4
Curve Equation t Generators 87906k1 [1,0,1,-62109,5952664] 1 [152:96:1]
87906l (1 curve)	0	2+ 3- 7+ 13- 23-	2+ 3-  3 7+  3 13-  6  6
Curve Equation t 87906l1 [1,0,1,-45073852,-116483276038] 1
87906m (2 curves)	1	2+ 3- 7- 13+ 23+	2+ 3-  0 7-  6 13+ -6 -2
Curve Equation t Generators 87906m1 [1,0,1,-7621,258080] 2 [46:-97:1] 87906m2 [1,0,1,-122281,16448072] 2 [-80:5111:1]
87906n (2 curves)	1	2+ 3- 7- 13+ 23+	2+ 3- -2 7-  2 13+  4 -4
Curve Equation t Generators 87906n1 [1,0,1,-252572,57067994] 2 [-444:9262:1] 87906n2 [1,0,1,-4227452,3345088730] 2 [4964:321069:1]
87906o (2 curves)	1	2+ 3- 7- 13+ 23+	2+ 3- -2 7- -2 13+ -6  4
Curve Equation t Generators 87906o1 [1,0,1,-7327,226034] 2 [-17:596:1] 87906o2 [1,0,1,6393,977890] 2 [-10:960:1]
87906p (2 curves)	0	2+ 3- 7- 13+ 23-	2+ 3-  2 7-  0 13+  6  0
Curve Equation t 87906p1 [1,0,1,-244585,-46593172] 2 87906p2 [1,0,1,-3913705,-2980421524] 2
87906q (4 curves)	0	2+ 3- 7- 13+ 23-	2+ 3-  2 7- -4 13+ -6  4
Curve Equation t 87906q1 [1,0,1,-470720,116770574] 2 87906q2 [1,0,1,-1474240,-547961074] 4 87906q3 [1,0,1,3214080,-3323446514] 2 87906q4 [1,0,1,-22218880,-40311287026] 2
87906r (2 curves)	0	2+ 3- 7- 13+ 23-	2+ 3- -2 7-  2 13+ -2 -4
Curve Equation t 87906r1 [1,0,1,-140117,19337504] 2 87906r2 [1,0,1,79403,74393120] 2
87906s (2 curves)	2	2+ 3- 7- 13+ 23-	2+ 3- -2 7- -4 13+ -2 -4
Curve Equation t Generators 87906s1 [1,0,1,8598,296104] 2 [47:-921:1]&[1:551:1] 87906s2 [1,0,1,-48732,2772760] 2 [-220:1800:1]&[302:3801:1]
87906t (2 curves)	0	2+ 3- 7- 13- 23+	2+ 3-  2 7-  6 13- -4  0
Curve Equation t 87906t1 [1,0,1,402215,127642988] 2 87906t2 [1,0,1,-2693605,1292909636] 2
87906u (2 curves)	0	2+ 3- 7- 13- 23+	2+ 3- -2 7-  6 13-  0  4
Curve Equation t 87906u1 [1,0,1,-9042,477796] 2 87906u2 [1,0,1,-161922,25060900] 2
87906v (1 curve)	1	2+ 3- 7- 13- 23-	2+ 3-  2 7- -3 13- -1  6
Curve Equation t Generators 87906v1 [1,0,1,-134160,18904414] 1 [356:3858:1]
87906w (1 curve)	0	2- 3+ 7+ 13+ 23+	2- 3+ -2 7+ -1 13+  3 -2
Curve Equation t 87906w1 [1,1,1,-28670734,-75121035445] 1
87906x (1 curve)	1	2- 3+ 7+ 13+ 23-	2- 3+ -2 7+  5 13+ -7 -1
Curve Equation t Generators 87906x1 [1,1,1,4801,414245] 1 [-21:-542:1]
87906y (1 curve)	0	2- 3+ 7+ 13- 23-	2- 3+  1 7+  5 13- -6  2
Curve Equation t 87906y1 [1,1,1,1070355,-442254597] 1
87906z (1 curve)	0	2- 3+ 7+ 13- 23-	2- 3+ -2 7+  2 13-  0  2
Curve Equation t 87906z1 [1,1,1,-4509,-193845] 1
87906ba (1 curve)	0	2- 3+ 7+ 13- 23-	2- 3+  4 7+  0 13-  0 -8
Curve Equation t 87906ba1 [1,1,1,542919,29991167751] 1
87906bb (4 curves)	1	2- 3+ 7- 13+ 23+	2- 3+  0 7-  6 13+  6 -2
Curve Equation t Generators 87906bb1 [1,1,1,3527,-1774585] 2 [143:1224:1] 87906bb2 [1,1,1,-200313,-33655161] 2 [1417:49592:1] 87906bb3 [1,1,1,-31753,48026663] 2 [-151:7104:1] 87906bb4 [1,1,1,-2184813,1230487215] 2 [2167385:-60519026:1331]
87906bc (4 curves)	1	2- 3+ 7- 13+ 23+	2- 3+ -2 7-  4 13+ -6  0
Curve Equation t Generators 87906bc1 [1,1,1,1616,146705] 2 [29:-483:1] 87906bc2 [1,1,1,-33664,2235281] 4 [-197:1225:1] 87906bc3 [1,1,1,-101284,-9665839] 2 [-239:1099:1] 87906bc4 [1,1,1,-530524,148510865] 2 [421:-189:1]
87906bd (2 curves)	0	2- 3+ 7- 13+ 23-	2- 3+  0 7-  4 13+  6  6
Curve Equation t 87906bd1 [1,1,1,-19293,-11049585] 2 87906bd2 [1,1,1,-870983,-311185141] 2
87906be (1 curve)	0	2- 3+ 7- 13+ 23-	2- 3+  0 7- -4 13+  0  4
Curve Equation t 87906be1 [1,1,1,-427428,263380389] 1
87906bf (1 curve)	0	2- 3+ 7- 13- 23+	2- 3+  2 7- -3 13-  3  5
Curve Equation t 87906bf1 [1,1,1,-19938717,-34300565517] 1
87906bg (2 curves)	0	2- 3+ 7- 13- 23+	2- 3+  2 7- -6 13-  6 -4
Curve Equation t 87906bg1 [1,1,1,-687,-687] 2 87906bg2 [1,1,1,2743,-2059] 2
87906bh (4 curves)	1	2- 3+ 7- 13- 23-	2- 3+  2 7- -4 13- -2  0
Curve Equation t Generators 87906bh1 [1,1,1,40963,-2423149] 2 [455:10292:1] 87906bh2 [1,1,1,-209917,-21991789] 4 [-197:3528:1] 87906bh3 [1,1,1,-1472157,671230419] 2 [-491:35966:1] 87906bh4 [1,1,1,-2961757,-1962589357] 2 [2299:57040:1]
87906bi (1 curve)	1	2- 3+ 7- 13- 23-	2- 3+ -4 7- -1 13-  1 -6
Curve Equation t Generators 87906bi1 [1,1,1,-2810236500,57344157984021] 1 [-14083:9708993:1]
87906bj (1 curve)	1	2- 3- 7+ 13+ 23+	2- 3- -2 7+ -3 13+ -3 -5
Curve Equation t Generators 87906bj1 [1,0,0,-976997134,11762162980868] 1 [29012:2784962:1]
87906bk (1 curve)	0	2- 3- 7+ 13+ 23-	2- 3-  4 7+ -1 13+ -1  6
Curve Equation t 87906bk1 [1,0,0,-137701588501,-19669459293284767] 1
87906bl (1 curve)	1	2- 3- 7+ 13- 23-	2- 3-  0 7+ -4 13-  0 -4
Curve Equation t Generators 87906bl1 [1,0,0,-8723,-769119] 1 [130:481:1]
87906bm (4 curves)	0	2- 3- 7- 13+ 23+	2- 3-  2 7-  0 13+ -2 -4
Curve Equation t 87906bm1 [1,0,0,-52137,4307673] 2 87906bm2 [1,0,0,-820457,285973785] 4 87906bm3 [1,0,0,-806737,296003105] 2 87906bm4 [1,0,0,-13127297,18305648913] 2
87906bn (4 curves)	0	2- 3- 7- 13+ 23+	2- 3- -2 7-  0 13+ -2 -8
Curve Equation t 87906bn1 [1,0,0,-29348404,64783560848] 2 87906bn2 [1,0,0,-477184884,4012103862864] 4 87906bn3 [1,0,0,-484803404,3877370336664] 2 87906bn4 [1,0,0,-7634950044,256777128064008] 2
87906bo (1 curve)	1	2- 3- 7- 13+ 23-	2- 3- -1 7-  5 13+  6 -2
Curve Equation t Generators 87906bo1 [1,0,0,52447394,151850668892] 1 [14386:1963516:1]
87906bp (4 curves)	1	2- 3- 7- 13+ 23-	2- 3-  2 7-  0 13+  2 -4
Curve Equation t Generators 87906bp1 [1,0,0,-3345088832,74465964822528] 2 [-56192:-9191744:1] 87906bp2 [1,0,0,-3361145152,73714988257280] 4 [-7028480:-1148504768:125] 87906bp3 [1,0,0,102441408,218332888766208] 2 [4322584254:-4057622079882:4913] 87906bp4 [1,0,0,-7081632832,-118965348202240] 2 [881522:-824244526:1]
87906bq (4 curves)	1	2- 3- 7- 13+ 23-	2- 3-  2 7-  0 13+ -6 -4
Curve Equation t Generators 87906bq1 [1,0,0,-701632,-148279552] 2 [-472:9056:1] 87906bq2 [1,0,0,-10113552,-12378128400] 4 [3750:47460:1] 87906bq3 [1,0,0,-9009092,-15185886612] 2 [4938428:-68602294:1331] 87906bq4 [1,0,0,-161808732,-792243048780] 2 [392712:245772774:1]
87906br (1 curve)	1	2- 3- 7- 13+ 23-	2- 3-  2 7-  2 13+  0 -2
Curve Equation t Generators 87906br1 [1,0,0,-92,552] 1 [-2:28:1]
87906bs (6 curves)	1	2- 3- 7- 13+ 23-	2- 3-  2 7-  4 13+ -2 -4
Curve Equation t Generators 87906bs1 [1,0,0,-151607,-22676823] 2 [666:12777:1] 87906bs2 [1,0,0,-214327,-2142295] 4 [692:13109:1] 87906bs3 [1,0,0,855833,-16910503] 2 [10452:515839:27] 87906bs4 [1,0,0,-2288007,1327086585] 4 [704:7733:1] 87906bs5 [1,0,0,-1183547,2610689997] 2 [10064230:-8388942299:166375] 87906bs6 [1,0,0,-36571347,85122426213] 2 [437830:-362729:125]
87906bt (1 curve)	1	2- 3- 7- 13+ 23-	2- 3- -4 7-  0 13+  0  8
Curve Equation t Generators 87906bt1 [1,0,0,11080,-87436224] 1 [880:-25016:1]
87906bu (1 curve)	1	2- 3- 7- 13- 23+	2- 3-  2 7- -1 13- -3  2
Curve Equation t Generators 87906bu1 [1,0,0,-585117,218928177] 1 [-702:17199:1]
87906bv (2 curves)	0	2- 3- 7- 13- 23-	2- 3-  0 7-  0 13-  4  2
Curve Equation t 87906bv1 [1,0,0,-46208,-4964352] 2 87906bv2 [1,0,0,-798848,-274861056] 2
87906bw (2 curves)	0	2- 3- 7- 13- 23-	2- 3-  0 7-  4 13- -6 -6
Curve Equation t 87906bw1 [1,0,0,-945358,3787171520] 2 87906bw2 [1,0,0,-42678168,106608468798] 2
87906bx (4 curves)	0	2- 3- 7- 13- 23-	2- 3-  2 7- -4 13- -6  8
Curve Equation t 87906bx1 [1,0,0,63258,-8902188] 4 87906bx2 [1,0,0,-455162,-93197280] 4 87906bx3 [1,0,0,-2359792,1314324290] 2 87906bx4 [1,0,0,-6845252,-6893531058] 2
87906by (1 curve)	0	2- 3- 7- 13- 23-	2- 3-  2 7-  5 13-  7  1
Curve Equation t 87906by1 [1,0,0,235248,-141380352] 1
87906bz (2 curves)	0	2- 3- 7- 13- 23-	2- 3-  4 7-  0 13-  0 -2
Curve Equation t 87906bz1 [1,0,0,2204,-103552] 2 87906bz2 [1,0,0,-24256,-1294252] 2

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