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Recently modified knowls
A
ec.additive_reduction
Additive reduction
ec.analytic_sha_order
Analytic order of Ш
ec.q.analytic_sha_order
Analytic order of Ш
ec.q.analytic_sha_value
Analytic order of Sha (numerical value)
ec.q.analytic_rank
Analytic rank of an elliptic curve over $\Q$
B
ec.bad_reduction
Bad reduction of an elliptic curve at a prime
ec.base_change
Base change
ec.q.bsdconjecture
Birch and Swinnerton-Dyer conjecture
ec.q.bsd_invariants
Birch and Swinnerton-Dyer invariants of an elliptic curve/$\mathbb{Q}$
ec.bsdconjecture
Birch Swinnerton-Dyer conjecture
ec.q.galois_rep_image_borel
Borel case
C
ec.q.canonical_height
Canonical height
ec.canonical_height
Canonical height on an elliptic curve
ec.complex_multiplication
Complex multiplication
ec.conductor_label
Conductor labels for elliptic curves
ec.conductor
Conductor of an elliptic curve
ec.q.conductor
Conductor of an elliptic curve over $\Q$
ec.conductor_valuation
Conductor valuation
ec.q.cremona_label
Cremona label
D
ec.discriminant
Discriminant of a Weierstrass equation
ec.q.discriminant
Discriminant of an elliptic curve over $\Q$
ec.discriminant_valuation
Discriminant valuation
E
ec.invariants
Elliptic curve invariants
ec.q.invariants
Elliptic curve invariants
ec.q
Elliptic curve over $\mathbb Q$
ec
Elliptic curve over a field
ec.endomorphism
Endomorphism of an elliptic curve
ec.endomorphism_ring
Endomorphism ring of an elliptic curve
ec.q.endomorphism_ring
Endomorphism ring of an elliptic curve
ec.q.galois_rep_image_exc
Exceptional case
F
ec.q.faltings_height
Faltings height of an elliptic curve
ec.q.faltings_ratio
Faltings ratio
ec.q.search_input
Find an elliptic curve
ec.search_input
Find an elliptic curve
ec.q.frey
Frey curve
G
ec.q.galois_rep
Galois representation attached an elliptic curve over $\mathbb Q$
ec.galois_rep_image
Galois representation image type codes
ec.galois_rep
Galois representations attached to an elliptic curve
ec.geom_endomorphism_ring
Geometric endomorphism ring
ec.global_minimal_model
Global minimal model
ec.period
Global period of an elliptic curve
ec.good_ordinary_reduction
Good ordinary reduction
ec.good_reduction
Good reduction
ec.good_supersingular_reduction
Good supersingular reduction
I
ec.q.galois_rep_image
Image of mod p Galois Representation
ec.integral_model
Integral model
ec.q.integral_points
Integral points
ec.isogeny
Isogeny between elliptic curves
ec.isogeny_class
Isogeny class of an elliptic curve
ec.isogenygraph.legend
Isogeny graph legend
ec.isogeny_graph
Isogeny graph of an isogeny class of elliptic curves
ec.isogeny_matrix
Isogeny matrix of an isogeny class of elliptic curves
ec.weierstrass_isomorphism
Isomorphism between Weierstrass models
ec.isomorphism
Isomorphism of elliptic curves
ec.iwasawa_invariants
Iwasawa invariants of elliptic curves
J
ec.j_invariant_denominator_valuation
j-invariant denominator valuation
ec.q.j_invariant
j-invariant of a rational elliptic curve
ec.j_invariant
j-invariant of an elliptic curve
K
ec.kodaira_symbol
Kodaira symbol
ec.q.kodaira_symbol
Kodaira symbol
L
ec.q.lmfdb_label
Label for an elliptic curve over $\mathbb Q$
ec.curve_label
Labels of elliptic curves over number fields
ec.lambda_invariant
lambda-invariant of an elliptic curve
ec.local_data
Local data of an elliptic curve
ec.local_minimal_discriminant
Local minimal discriminant of an elliptic curve
ec.local_minimal_model
Local minimal model
ec.local_root_number
Local root number
M
ec.q.manin_constant
Manin constant for elliptic curves over $\Q$
ec.maximal_galois_rep
Maximal Galois representation
ec.minimal_discriminant
Minimal discriminant
ec.q.minimal_weierstrass_equation
Minimal Weierstrass equation over $\mathbb Q$
ec.q.modular_degree
Modular degree of an elliptic curve over $\mathbb Q$
ec.q.modular_form
Modular form associated to an elliptic curve/$\mathbb Q$
ec.q.modular_parametrization
Modular parametrization of an elliptic curve over $\mathbb Q$
ec.mw_generators
Mordell-Weil generators
ec.mordell_weil_group
Mordell-Weil group
ec.mordell_weil_theorem
Mordell-Weil theorem
ec.mu_invariant
mu-invariant of an elliptic curve
ec.multiplicative_reduction
Multiplicative reduction
N
ec.q.galois_rep_image_nsp_cartan
Non-split Cartan case
ec.nonsplit_multiplicative_reduction
Non-split multiplicative reduction
ec.q.non-surjective_prime
Non-surjective prime
ec.discriminant_norm
Norm of discriminant
ec.q.galois_rep_image_norm_nsp_cartan
Normalizer of the nonsplit Cartan case
ec.q.galois_rep_image_norm_sp_cartan
Normalizer of the split Cartan case
O
ec.obstruction_class
Obstruction class of an elliptic curve
ec.q.optimal
Optimal elliptic curve over $\mathbb Q$
P
ec.q.period_lattice
Period lattice of an elliptic curve
ec.potential_good_reduction
Potential good reduction
R
ec.rank
Rank of an elliptic curve over a number field
ec.q.real_period
Real period
ec.reduction_type
Reduction type
ec.q.reduction_type
Reduction type of an elliptic curve over $\mathbb Q$
ec.regulator
Regulator of an elliptic curve
ec.q.regulator
Regulator of elliptic curve
ec.roadmap
Roadmap for elliptic curves
ec.q.rouse_classification
Rouse classification
ec.rouse_label
Rouse label
S
ec.semi_global_minimal_model
Semi-global minimal model
ec.q.semistable
Semistable elliptic curve
ec.semistable
Semistable elliptic curve
ec.q.special_value
Special value of an elliptic curve L-function
ec.q.galois_rep_image_sp_cartan
Split Cartan case
ec.split_multiplicative_reduction
Split multiplicative reduction
ec.q.surjective_prime
Surjective prime
T
ec.tamagawa_number
Tamagawa number
ec.q.tamagawa_numbers
Tamagawa numbers for an elliptic curve
ec.padic_tate_module
Tate module of an elliptic curve
ec.q.torsion_growth
Torsion growth in number fields
ec.torsion_order
Torsion order of an elliptic curve
ec.torsion_subgroup
Torsion subgroup of an elliptic curve
ec.q.torsion_subgroup
Torsion subgroup of an elliptic curve over $\mathbb Q$
W
ec.weierstrass_coeffs
Weierstrass equation or model
ec.q.weil_height
Weil height of a point on an elliptic curve over $\Q$
?
ec.q_curve
$\mathbb{Q}$-curves