login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A309031 Numbers k for which rank of the elliptic curve y^2=x^3+k*x is 4. 4
1918, 5190, 6123, 6953, 9603, 10759, 12483, 13398, 14673, 14795, 15910, 15934, 16238, 17753, 18278, 18705, 18814, 20148, 20398, 20658, 23180, 23953, 24475, 25988, 26809, 28633, 29274, 30340, 30688, 31073, 31098, 31174, 32118, 33218, 33278, 34804, 36955, 37214, 37298 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..39.

PROG

(PARI) for(k=1, 1e4, if(ellanalyticrank(ellinit([0, 0, 0, k, 0]))[1]==4, print1(k", ")))

(Magma) for k in[1..10000] do if Rank(EllipticCurve([0, 0, 0, k, 0])) eq 4 then print k; end if; end for; // Vaclav Kotesovec, Jul 08 2019

CROSSREFS

Cf. A002158 (rank 0), A002159 (rank 1), A076329 (rank 2), A309030 (rank 3), this sequence (rank 4).

Cf. A060953, A309034.

Sequence in context: A163863 A251917 A222928 * A077087 A179696 A249840

Adjacent sequences:  A309028 A309029 A309030 * A309032 A309033 A309034

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jul 08 2019

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 7 04:30 EDT 2022. Contains 357270 sequences. (Running on oeis4.)