Knowledge

• AI selection

  Project explanation

• Artin conductor

  LMFDB

• Artin representations

  LMFDB

• Atkin–Lehner involutions

  LMFDB

• Atkin–Lehner signs

  Project explanation

• Base-change Bianchi modular forms

  LMFDB

• Bianchi modular forms

  LMFDB

• Bianchi newforms

  LMFDB

• Class groups

  LMFDB

• Class numbers

  LMFDB

• Classical newforms

  LMFDB

• Coefficient fields of classical newforms

  LMFDB

• Conductor of a genus 2 curve

  LMFDB

• Conductor of an elliptic curve

  LMFDB

• Discriminant of a genus 2 curve

  LMFDB

• Discriminant of a number field

  LMFDB

• Elliptic curves

  LMFDB

• Galois representations of genus 2 Jacobians

  LMFDB

• Genus 2 curves

  LMFDB

• Hecke fields

  Project explanation

• Hilbert Hecke orbits

  LMFDB

• Hilbert modular forms

  LMFDB

• Isogenies of elliptic curves

  LMFDB

• Isogeny classes of elliptic curves

  LMFDB

• Iwasawa invariants

  LMFDB

• Iwasawa lambda-invariant

  LMFDB

• Jacobians of genus 2 curves

  LMFDB

• Literature review

  Project explanation

• Minimal discriminant of an elliptic curve

  LMFDB

• Monogenic fields

  LMFDB

• Mordell–Weil rank

  LMFDB

• Narrow class groups

  LMFDB

• Number fields

  LMFDB

• Numerical testing

  Project explanation

• Retained for study

  Project explanation

• Root numbers

  LMFDB

• Root numbers of Artin representations

  LMFDB

• Sign of a Bianchi newform

  LMFDB

• Signature of a number field

  LMFDB

• Split multiplicative reduction

  LMFDB

• Tamagawa numbers

  LMFDB

• Unit-signature rank

  LMFDB

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