Cremona's table of elliptic curves

41328 = 2⁴ · 3² · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
41328a (1 curve)	1	2+ 3+ 7+ 41+	2+ 3+ -4 7+  3  2 -5  6
Curve Equation t Generators 41328a1 [0,0,0,-12,-180] 1 [9:21:1]
41328b (1 curve)	0	2+ 3+ 7+ 41-	2+ 3+  4 7+ -3  2  5  6
Curve Equation t 41328b1 [0,0,0,-108,4860] 1
41328c (1 curve)	0	2+ 3+ 7- 41+	2+ 3+  1 7-  0  5  4  8
Curve Equation t 41328c1 [0,0,0,-3267,-76302] 1
41328d (1 curve)	2	2+ 3+ 7- 41+	2+ 3+ -2 7- -1 -6  0 -7
Curve Equation t Generators 41328d1 [0,0,0,-171,1594] 1 [-15:28:1]&[-10:48:1]
41328e (1 curve)	0	2+ 3+ 7- 41+	2+ 3+ -2 7- -3  2  4 -1
Curve Equation t 41328e1 [0,0,0,1490589,-20874938814] 1
41328f (1 curve)	1	2+ 3+ 7- 41-	2+ 3+ -1 7-  0  5 -4  8
Curve Equation t Generators 41328f1 [0,0,0,-363,2826] 1 [3:42:1]
41328g (1 curve)	1	2+ 3+ 7- 41-	2+ 3+  2 7-  1 -6  0 -7
Curve Equation t Generators 41328g1 [0,0,0,-1539,-43038] 1 [66:378:1]
41328h (1 curve)	1	2+ 3+ 7- 41-	2+ 3+  2 7-  3  2 -4 -1
Curve Equation t Generators 41328h1 [0,0,0,165621,773145882] 1 [1081:47068:1]
41328i (4 curves)	0	2+ 3- 7+ 41+	2+ 3-  2 7+  0  2 -2  0
Curve Equation t 41328i1 [0,0,0,-6039,180630] 2 41328i2 [0,0,0,-6219,169290] 4 41328i3 [0,0,0,8541,851202] 2 41328i4 [0,0,0,-23859,-1238382] 2
41328j (1 curve)	1	2+ 3- 7+ 41-	2+ 3-  0 7+ -3  4  2 -5
Curve Equation t Generators 41328j1 [0,0,0,-8569875,-9656280142] 1 [3671316544:424093672593:262144]
41328k (1 curve)	1	2+ 3- 7+ 41-	2+ 3-  3 7+  0  7 -7  1
Curve Equation t Generators 41328k1 [0,0,0,429,-3022] 1 [37:252:1]
41328l (2 curves)	1	2+ 3- 7- 41+	2+ 3-  0 7-  2  2  2  0
Curve Equation t Generators 41328l1 [0,0,0,645,-646] 2 [5:52:1] 41328l2 [0,0,0,-2595,-5182] 2 [-43:164:1]
41328m (1 curve)	0	2+ 3- 7- 41-	2+ 3-  3 7-  6  0  7  0
Curve Equation t 41328m1 [0,0,0,-1011,-10222] 1
41328n (2 curves)	0	2- 3+ 7+ 41+	2- 3+  0 7+ -3  2  3 -2
Curve Equation t 41328n1 [0,0,0,1920,-13648] 1 41328n2 [0,0,0,-21600,1457136] 1
41328o (1 curve)	2	2- 3+ 7+ 41+	2- 3+ -1 7+ -4 -3 -3  5
Curve Equation t Generators 41328o1 [0,0,0,-12123,641034] 1 [45:-432:1]&[109:784:1]
41328p (1 curve)	0	2- 3+ 7+ 41+	2- 3+  2 7+  5 -6  0 -1
Curve Equation t 41328p1 [0,0,0,-616059,-186115158] 1
41328q (2 curves)	0	2- 3+ 7+ 41+	2- 3+ -2 7+  2  4 -2  0
Curve Equation t 41328q1 [0,0,0,-3456,-75465] 2 41328q2 [0,0,0,-8991,226746] 2
41328r (2 curves)	0	2- 3+ 7+ 41+	2- 3+ -3 7+  0 -1  0  4
Curve Equation t 41328r1 [0,0,0,-33099,5699066] 1 41328r2 [0,0,0,-3655179,2689748154] 1
41328s (2 curves)	1	2- 3+ 7+ 41-	2- 3+  0 7+  3  2 -3 -2
Curve Equation t Generators 41328s1 [0,0,0,-2400,-53968] 1 [193:2583:1] 41328s2 [0,0,0,17280,368496] 1 [21405:361179:125]
41328t (1 curve)	1	2- 3+ 7+ 41-	2- 3+  1 7+  4 -3  3  5
Curve Equation t Generators 41328t1 [0,0,0,-1347,-23742] 1 [78:588:1]
41328u (2 curves)	1	2- 3+ 7+ 41-	2- 3+  2 7+ -2  4  2  0
Curve Equation t Generators 41328u1 [0,0,0,-384,2795] 2 [-46:555:8] 41328u2 [0,0,0,-999,-8398] 2 [-12310:45103:1000]
41328v (1 curve)	1	2- 3+ 7+ 41-	2- 3+ -2 7+ -5 -6  0 -1
Curve Equation t Generators 41328v1 [0,0,0,-68451,6893154] 1 [145:128:1]
41328w (2 curves)	1	2- 3+ 7+ 41-	2- 3+  3 7+  0 -1  0  4
Curve Equation t Generators 41328w1 [0,0,0,-406131,-99620302] 1 [92795:353502:125] 41328w2 [0,0,0,-297891,-153874782] 1 [3457404439635:-13771363386006:4784094125]
41328x (1 curve)	1	2- 3+ 7- 41+	2- 3+  1 7-  0 -1  1 -5
Curve Equation t Generators 41328x1 [0,0,0,-91788147,342185663538] 1 [6159:102438:1]
41328y (1 curve)	1	2- 3+ 7- 41+	2- 3+  1 7-  0 -1 -4  0
Curve Equation t Generators 41328y1 [0,0,0,93,418] 1 [-1:18:1]
41328z (1 curve)	1	2- 3+ 7- 41+	2- 3+ -2 7- -3  2  4  7
Curve Equation t Generators 41328z1 [0,0,0,2349,-70254] 1 [25:64:1]
41328ba (1 curve)	0	2- 3+ 7- 41-	2- 3+ -1 7-  0 -1 -1 -5
Curve Equation t 41328ba1 [0,0,0,-10198683,-12673543094] 1
41328bb (1 curve)	0	2- 3+ 7- 41-	2- 3+ -1 7-  0 -1  4  0
Curve Equation t 41328bb1 [0,0,0,837,-11286] 1
41328bc (1 curve)	0	2- 3+ 7- 41-	2- 3+  2 7-  3  2 -4  7
Curve Equation t 41328bc1 [0,0,0,261,2602] 1
41328bd (2 curves)	1	2- 3- 7+ 41+	2- 3- -1 7+  2  4 -3  0
Curve Equation t Generators 41328bd1 [0,0,0,-25203,1489714] 1 [105:32:1] 41328bd2 [0,0,0,-2273043,-1319040686] 1 [2473779:39405496:1331]
41328be (2 curves)	1	2- 3- 7+ 41+	2- 3-  2 7+ -4  4 -6  0
Curve Equation t Generators 41328be1 [0,0,0,-444,2095] 2 [497:11070:1] 41328be2 [0,0,0,1401,15010] 2 [3970:88695:8]
41328bf (2 curves)	1	2- 3- 7+ 41+	2- 3-  3 7+  0  2  3  4
Curve Equation t Generators 41328bf1 [0,0,0,-11451,340202] 1 [-686:6653:8] 41328bf2 [0,0,0,-336171,-75000742] 1 [-1501867565962:-519470092087:4524874264]
41328bg (2 curves)	1	2- 3- 7+ 41+	2- 3- -3 7+  0 -1  3  1
Curve Equation t Generators 41328bg1 [0,0,0,-299739,-70060534] 1 [1285:-40824:1] 41328bg2 [0,0,0,-25007979,-48135557734] 1 [36709:6964272:1]
41328bh (2 curves)	2	2- 3- 7+ 41-	2- 3-  0 7+ -3 -4 -6 -5
Curve Equation t Generators 41328bh1 [0,0,0,-4035,100802] 1 [-47:432:1]&[7:270:1] 41328bh2 [0,0,0,17565,421346] 1 [-23:72:1]&[7:738:1]
41328bi (2 curves)	0	2- 3- 7+ 41-	2- 3-  1 7+ -2  0  3  8
Curve Equation t 41328bi1 [0,0,0,-2786787,1648296162] 1 41328bi2 [0,0,0,-1384029027,-19818277784478] 1
41328bj (1 curve)	0	2- 3- 7+ 41-	2- 3-  1 7+ -2  1  0  0
Curve Equation t 41328bj1 [0,0,0,393,89602] 1
41328bk (1 curve)	0	2- 3- 7+ 41-	2- 3-  1 7+  4  1 -3  3
Curve Equation t 41328bk1 [0,0,0,-9158187,10883177818] 1
41328bl (1 curve)	0	2- 3- 7+ 41-	2- 3-  1 7+  4 -6 -3 -4
Curve Equation t 41328bl1 [0,0,0,-5787,-169398] 1
41328bm (1 curve)	0	2- 3- 7+ 41-	2- 3- -1 7+ -2 -5  2  6
Curve Equation t 41328bm1 [0,0,0,-6123,-840166] 1
41328bn (4 curves)	0	2- 3- 7+ 41-	2- 3-  2 7+ -4  2  2 -4
Curve Equation t 41328bn1 [0,0,0,14541,5638642] 2 41328bn2 [0,0,0,-400179,93310450] 4 41328bn3 [0,0,0,-1108659,-328235150] 2 41328bn4 [0,0,0,-6327219,6125851762] 2
41328bo (4 curves)	0	2- 3- 7+ 41-	2- 3- -2 7+  0  2  2  4
Curve Equation t 41328bo1 [0,0,0,429,-12206] 2 41328bo2 [0,0,0,-6051,-166430] 4 41328bo3 [0,0,0,-21171,997810] 4 41328bo4 [0,0,0,-94611,-11201006] 2
41328bp (2 curves)	0	2- 3- 7+ 41-	2- 3- -2 7+ -2  4 -6  6
Curve Equation t 41328bp1 [0,0,0,-12171,198970] 2 41328bp2 [0,0,0,-104331,-12832454] 2
41328bq (1 curve)	0	2- 3- 7+ 41-	2- 3-  3 7+ -2  5  2  2
Curve Equation t 41328bq1 [0,0,0,-1011,25202] 1
41328br (2 curves)	0	2- 3- 7+ 41-	2- 3-  4 7+ -2 -6  6 -4
Curve Equation t 41328br1 [0,0,0,477,10530] 2 41328br2 [0,0,0,-5283,131490] 2
41328bs (1 curve)	0	2- 3- 7+ 41-	2- 3- -4 7+ -1 -4  2 -7
Curve Equation t 41328bs1 [0,0,0,-74667,-8439590] 1
41328bt (2 curves)	0	2- 3- 7+ 41-	2- 3- -4 7+  4  4  2  6
Curve Equation t 41328bt1 [0,0,0,-4561707,9084638810] 2 41328bt2 [0,0,0,-98933547,378361648730] 2
41328bu (2 curves)	0	2- 3- 7- 41+	2- 3-  0 7-  2 -6  2  8
Curve Equation t 41328bu1 [0,0,0,-54435,5150626] 2 41328bu2 [0,0,0,-883875,319840162] 2
41328bv (1 curve)	0	2- 3- 7- 41+	2- 3-  0 7-  5  4 -2  1
Curve Equation t 41328bv1 [0,0,0,23685,2198698] 1
41328bw (1 curve)	0	2- 3- 7- 41+	2- 3-  1 7- -6  3  6 -6
Curve Equation t 41328bw1 [0,0,0,101733,-111341302] 1
41328bx (1 curve)	2	2- 3- 7- 41+	2- 3-  1 7- -6 -4 -7  0
Curve Equation t Generators 41328bx1 [0,0,0,-3027,6802] 1 [-39:256:1]&[-33:266:1]
41328by (1 curve)	0	2- 3- 7- 41+	2- 3- -1 7-  2  3  4  4
Curve Equation t 41328by1 [0,0,0,-29343,1947706] 1
41328bz (1 curve)	0	2- 3- 7- 41+	2- 3- -1 7- -4 -3  7 -5
Curve Equation t 41328bz1 [0,0,0,-781203,327635026] 1
41328ca (4 curves)	0	2- 3- 7- 41+	2- 3- -2 7-  0  6 -2  4
Curve Equation t 41328ca1 [0,0,0,-14691,823394] 2 41328ca2 [0,0,0,-247971,47526050] 4 41328ca3 [0,0,0,-260931,42282434] 2 41328ca4 [0,0,0,-3967491,3041739650] 2
41328cb (1 curve)	2	2- 3- 7- 41+	2- 3- -2 7- -3 -4 -1 -6
Curve Equation t Generators 41328cb1 [0,0,0,-1776,44476] 1 [194:2646:1]&[-30:266:1]
41328cc (1 curve)	0	2- 3- 7- 41+	2- 3-  3 7-  2  1  4  4
Curve Equation t 41328cc1 [0,0,0,-395793831,-6536508724622] 1
41328cd (1 curve)	0	2- 3- 7- 41+	2- 3-  3 7-  2 -3 -4 -4
Curve Equation t 41328cd1 [0,0,0,-111,-758] 1
41328ce (1 curve)	0	2- 3- 7- 41+	2- 3- -3 7- -6 -7  6  6
Curve Equation t 41328ce1 [0,0,0,423501,31727666] 1
41328cf (2 curves)	0	2- 3- 7- 41+	2- 3-  4 7-  6  2  2  0
Curve Equation t 41328cf1 [0,0,0,-69123,-7290110] 2 41328cf2 [0,0,0,-1118883,-455537630] 2
41328cg (1 curve)	2	2- 3- 7- 41+	2- 3- -4 7- -1 -4 -2 -5
Curve Equation t Generators 41328cg1 [0,0,0,-474627,146279810] 1 [1543:-55566:1]&[-487:16184:1]
41328ch (1 curve)	1	2- 3- 7- 41-	2- 3- -1 7-  0  2  5  4
Curve Equation t Generators 41328ch1 [0,0,0,-363,-1766] 1 [-6:14:1]
41328ci (1 curve)	1	2- 3- 7- 41-	2- 3- -1 7-  2  3 -2 -2
Curve Equation t Generators 41328ci1 [0,0,0,132477,-6314366] 1 [1055:36162:1]
41328cj (2 curves)	1	2- 3- 7- 41-	2- 3-  2 7- -6 -4  2 -2
Curve Equation t Generators 41328cj1 [0,0,0,-296859,62249290] 2 [335:630:1] 41328cj2 [0,0,0,-319899,52024138] 2 [-291:10976:1]
41328ck (1 curve)	1	2- 3- 7- 41-	2- 3-  3 7-  0 -5  1  1
Curve Equation t Generators 41328ck1 [0,0,0,-4611,668162] 1 [103:1134:1]
41328cl (1 curve)	1	2- 3- 7- 41-	2- 3-  3 7-  2  1  6 -6
Curve Equation t Generators 41328cl1 [0,0,0,-6411,197818] 1 [47:18:1]
41328cm (1 curve)	1	2- 3- 7- 41-	2- 3- -3 7- -4  1 -3  3
Curve Equation t Generators 41328cm1 [0,0,0,-18219,21936346] 1 [845:-24696:1]
41328cn (1 curve)	1	2- 3- 7- 41-	2- 3- -4 7- -1  0 -2  1
Curve Equation t Generators 41328cn1 [0,0,0,709773,-1075563470] 1 [1737:73472:1]

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