Cremona's table of elliptic curves

38686 = 2 · 23 · 29²

Class	r	Atkin-Lehner	Eigenvalues
38686a (1 curve)	1	2+ 23+ 29+	2+  2  1  2 -3  4  6 -1
Curve Equation t Generators 38686a1 [1,1,0,-17,-37] 1 [523:11713:1]
38686b (2 curves)	1	2+ 23+ 29+	2+  2  3  2  3 -4 -6  1
Curve Equation t Generators 38686b1 [1,1,0,-1075656,-958750912] 1 [305108414114491844173292443067507742040122010876300670854731938217613002413:-44137175315085370904899819498606637207158010135936027475551727848211781841281:14644121291660393656538867226267048455275111919371642300152899026911079] 38686b2 [1,1,0,-114240616,-470027510112] 1 [461333710026704680502986044874589602230756780319761639678851462433536842364051947429050508369943026839158304759255979126131074835823603359479226460240162406820076389968684447739857626965929627079260679346367016209528654453149335:-58524995490097667273874629559464835359466585747713117327218235307665969723679745924191324679555151937975728369677985956493094539039282695816125761089299122046512821881275382615514120867576229855832467111172209124977842000820746611:20876737104212308494744976170460060097144909984881847987921776445229102567553737755602855591656543166879745881526380072572872311318448181484542527386893921546345529727388757837993101149371670909331935170853864596680949229125]
38686c (1 curve)	0	2+ 23- 29+	2+ -1 -4  0 -3 -2 -2 -1
Curve Equation t 38686c1 [1,1,0,-376641867,-2813619371075] 1
38686d (1 curve)	1	2+ 23- 29-	2+  0 -3 -2  5 -6 -4 -5
Curve Equation t Generators 38686d1 [1,-1,0,135664,-37895552] 1 [3366:75689:8]
38686e (1 curve)	0	2- 23+ 29+	2- -1  1  0  3  1  2  8
Curve Equation t 38686e1 [1,1,1,-6325,-615381] 1
38686f (1 curve)	1	2- 23+ 29-	2- -2  1  2  3  4 -6  1
Curve Equation t Generators 38686f1 [1,0,0,-14735,-727337] 1 [7817872352128000257326:-154576438857621218871005:19008040411980046952]
38686g (2 curves)	1	2- 23+ 29-	2- -2  3  2 -3 -4  6 -1
Curve Equation t Generators 38686g1 [1,0,0,-1279,-39399] 3 [210:2889:1] 38686g2 [1,0,0,-135839,-19281479] 1 [19129390:118898863:42875]
38686h (2 curves)	1	2- 23- 29+	2-  0  0  4 -2  6 -2  2
Curve Equation t Generators 38686h1 [1,-1,1,-258345,-223430875] 2 [10850924995460956:562774421647188225:3793496428736] 38686h2 [1,-1,1,-7331155,-7615931887] 2 [1295696291639605523834895204:36921121570083711605471443919:367080705612630989032256]
38686i (1 curve)	1	2- 23- 29+	2-  0 -3 -2 -5 -6  4  5
Curve Equation t Generators 38686i1 [1,-1,1,161,-1593] 1 [9:18:1]
38686j (2 curves)	1	2- 23- 29+	2-  0  4 -4 -2 -2  2  2
Curve Equation t Generators 38686j1 [1,-1,1,-8568,-352261] 2 [14205:38249:125] 38686j2 [1,-1,1,-143128,-20805381] 2 [739205:-57091751:125]
38686k (2 curves)	1	2- 23- 29+	2- -1 -3 -4  3  5  6 -8
Curve Equation t Generators 38686k1 [1,1,1,1943113,-652139763] 1 [1539:-78142:1] 38686k2 [1,1,1,-40321342,-100066145925] 1 [29553:4937031:1]
38686l (1 curve)	0	2- 23- 29-	2-  1 -4  0  3 -2  2  1
Curve Equation t 38686l1 [1,0,0,-447850,-115395164] 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
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