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Recently modified knowls
A
g2c.abs_discriminant
Absolute discriminant
g2c.analytic_sha
Analytic order of Sha
g2c.analytic_rank
Analytic rank of a curve
g2c.aut_grp
Automorphism group of an algebraic curve
B
g2c.bsd_invariants
BSD invariants
C
g2c.conditional_mw_group
Conditional Mordell-Weil group
g2c.conductor
Conductor of a genus 2 curve
D
g2c.decomposition
Decomposition of the Jacobian of a genus 2 curve
g2c.discriminant
Discriminant of a genus 2 curve
E
g2c.end_alg
Endomorphism algebra
g2c.jac_endomorphisms
Endomorphism invariants
g2c.jac_end_lattice
Endomorphism lattice
g2c.bad_lfactors
Euler factors at bad primes
F
g2c.search_input
Find a genus 2 curve
G
g2c.g2_invariants
G2-invariants of a genus 2 curve
g2c.galois_rep
Galois representations attached to the Jacobian of a genus 2 curve
g2c.g2curve
Genus 2 curve
g2c.geom_aut_grp
Geometric automorphism group
g2c.geom_end_alg
Geometric endomorphism algebra
g2c.geometric_invariants
Geometric invariants
g2c.geom_iso_class
Geometric isomorphism class of a curve
g2c.gl2type
$\GL_2$-type
H
g2c.has_square_sha
Has square Ш
g2c.hasse_weil_conjecture
Hasse-Weil conjecture
I
g2c.igusa_invariants
Igusa invariants of a genus 2 curve
g2c.igusa_clebsch_invariants
Igusa-Clebsch invariants of a genus 2 curve
g2c.galois_rep_image
Image of mod p Galois Representation of Jacobian of genus 2 curve
g2c.invariants
Invariants of a genus 2 curve
g2c.isogeny_class
Isogeny class of an abelian variety
J
g2c.jacobian
Jacobian of a genus 2 curve
K
g2c.known_rational_points
Known rational points
L
g2c.lfunction
L-function of an abelian variety over $\mathbb{Q}$
g2c.label
Label of a genus 2 curve over $\Q$
g2c.local_invariants
Local invariants
g2c.good_lfactors
Local L-factors at good primes
g2c.locally_solvable
Locally solvable
M
g2c.maximal_galois_rep
Maximal image
g2c.minimal_equation
Minimal equation of a hyperelliptic curve
g2c.galois_rep_modell_image
Mod-$\ell$ Galois image of a genus 2 curve
g2c.mw_generator
Mordell-Weil generator
g2c.mordell_weil_rank
Mordell-Weil rank
N
g2c.galois_rep.non_maximal_primes
Nonmaximal primes associated to genus $2$ curve
g2c.num_rat_pts
Number of rational points
O
g2c.mw_generator_order
Order of a Mordell-Weil generator
P
g2c.paramodular_conjecture
Paramodular conjecture
g2c.good_reduction
Primes of good reduction
R
g2c.all_rational_points
Rational points
g2c.real_period
Real period
g2c.regulator
Regulator of a genus 2 curve
S
g2c.st_group_identity_component
Sato-Tate group identity component
g2c.st_group
Sato-Tate group of a genus 2 curve over Q
g2c.simple_equation
Simplified equation
T
g2c.tamagawa
Tamagawa numbers
g2c.torsion_order
Torsion order
g2c.torsion
Torsion subgroup
W
g2c.num_rat_wpts
Weierstrass points of a hyperelliptic curve
2
g2c.two_selmer_rank
2-Selmer rank
g2c.two_torsion_field
2-torsion field