User SUNIL PASUPULATI

12 votes

0 answers

567 views

Is class group of cyclotomic fields cyclic?

asked Dec 25, 2020 at 7:00

10 votes

1 answer

430 views

Is there any conditions on a finite abelian group so that it cannot be class group of any number field?

asked Jul 16, 2019 at 16:51

7 votes

1 answer

503 views

How to compute Hilbert class field of $\Bbb Q(\zeta_{31})$?

asked Jan 1, 2021 at 13:16

6 votes

1 answer

451 views

How is class of composition of two quadratic fields is related class numbers of quadratic field?

asked May 20, 2020 at 6:42

4 votes

1 answer

232 views

Is there any relation between $h_{d_1},h_{d_2}$ and $h_{d_1d_2}$?

asked Jul 7, 2020 at 5:09

4 votes

1 answer

321 views

How to calculate genus number of number field using sage?

asked Aug 27, 2021 at 4:34

4 votes

1 answer

309 views

Does the modular form associated to cubic twist of a elliptic curve $E$ corresponds to some twist of $f_E$?

asked Sep 21, 2021 at 6:09

3 votes

1 answer

363 views

How many non principal prime ideals does a number field contain?

asked Oct 29, 2020 at 4:48

2 votes

1 answer

168 views

What are conditions to satisfied by rational prime p so that every prime lying above p is a prime of order 1 and generates class group?

asked Aug 29, 2020 at 23:29

2 votes

1 answer

153 views

Are the maximal cyclotomic field contained in a number field and its Hilbert class group the same?

asked Jan 14, 2021 at 6:35

1 vote

0 answers

354 views

What is definition of Cohen–Eisenstein series?

asked Jul 22, 2019 at 3:45

1 vote

0 answers

234 views

Does separability of residue fields implies separability of $L/K$?

asked Apr 23, 2019 at 5:44

1 vote

3 answers

302 views

How do I find abelian cubic extension over $\mathbb{Q}$ with class number more than 1?

asked Jul 22, 2021 at 12:24

0 votes

1 answer

187 views

When are the Artin symbols of two rational primes equal?

asked Oct 30, 2020 at 6:43

0 votes

0 answers

200 views

What is the conductor of $K(\sqrt{2})$ over $K$?

asked Jan 17, 2023 at 11:40

0 votes

0 answers

148 views

How to determine if a unramifed prime split or not?

asked Mar 17, 2021 at 6:49

Stack Exchange Network

16 Questions

Is class group of cyclotomic fields cyclic?

Is there any conditions on a finite abelian group so that it cannot be class group of any number field?

How to compute Hilbert class field of $\Bbb Q(\zeta_{31})$?

How is class of composition of two quadratic fields is related class numbers of quadratic field?

Is there any relation between $h_{d_1},h_{d_2}$ and $h_{d_1d_2}$?

How to calculate genus number of number field using sage?

Does the modular form associated to cubic twist of a elliptic curve $E$ corresponds to some twist of $f_E$?

How many non principal prime ideals does a number field contain?

What are conditions to satisfied by rational prime p so that every prime lying above p is a prime of order 1 and generates class group?

Are the maximal cyclotomic field contained in a number field and its Hilbert class group the same?

What is definition of Cohen–Eisenstein series?

Does separability of residue fields implies separability of $L/K$?

How do I find abelian cubic extension over $\mathbb{Q}$ with class number more than 1?

When are the Artin symbols of two rational primes equal?

What is the conductor of $K(\sqrt{2})$ over $K$?

How to determine if a unramifed prime split or not?