Elliptic curve data - 46800.l1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '46800dl', 'Clabel': '46800dl2', 'Cnumber': 2, 'abc_quality': 1.0526824515299218, 'absD': 2267207486668800, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -484275, -129734030], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 46800, 'degree': 373248, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9501638773721506993126482326', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3], 'jinv': [-168256703745625, 30371328], 'lmfdb_iso': '46800.l', 'lmfdb_label': '46800.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3363, -76479], 'min_quad_twist_disc': 12, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '60.8.0-3.a.1.2', '312.8.0.?', '1560.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0032326741235424768367962853', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2925], [3, 6, 400], [5, 10, 1872], [13, 14, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43947090040580048176433360381', 'prec': 103}, 'szpiro_ratio': 4.731899775354638, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -5, 0], 'aplist': [0, 0, 0, -4, 0, -1, 0, -5, 0, -3, 4, 7, -3, 2, -9, 9, 6, 8, 5, -3, 4, -11, 6, -6, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 46800, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '46800.l', 'trace_hash': 1404409096833376146}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.020235278150400697559583497450', 'prec': 107}, 'conductor': 46800, 'gens': [[2366, 109404, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '6.0032326741235424768367962853', 'prec': 100}], 'lmfdb_label': '46800.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.090488177969974472683653301882', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3457726928900550319302995099724590784', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [2366]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '46800.l1'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 2282761
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '46800.l1', 'torsion': [3]}
  • id: 2282762
    {'degree': 3, 'field': [-33, -3, -1, 1], 'lmfdb_label': '46800.l1', 'torsion': [2]}
  • id: 2282764
    {'degree': 6, 'field': [-135, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '46800.l1', 'torsion': [3]}
  • id: 2282765
    {'degree': 6, 'field': [20, 0, 225, 0, -30, 0, 1], 'lmfdb_label': '46800.l1', 'torsion': [6]}
  • id: 2282763
    {'degree': 6, 'field': [1296, 1728, 726, 132, 31, -2, 1], 'lmfdb_label': '46800.l1', 'torsion': [2, 2]}
  • id: 2282767
    {'degree': 12, 'field': [36, -36, -54, 150, 15, -156, 151, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '46800.l1', 'torsion': [3, 3]}
  • id: 2282768
    {'degree': 12, 'field': [483025, 0, 2339550, 0, 39075, 0, -2660, 0, -45, 0, 30, 0, 1], 'lmfdb_label': '46800.l1', 'torsion': [2, 6]}
  • id: 2282766
    {'degree': 12, 'field': [9906876, -17678652, 13626774, -5948890, 1608710, -261072, 11694, 7162, -2280, 290, -11, -3, 1], 'lmfdb_label': '46800.l1', 'torsion': [4]}
  • id: 2282770
    {'degree': 18, 'field': [2160250, -5291250, 5203875, -3616250, -187125, -553500, -828575, -345000, -46650, -38000, 5250, 6900, 1520, -150, 195, -30, 15, 0, 1], 'lmfdb_label': '46800.l1', 'torsion': [6]}
  • id: 2282769
    {'degree': 18, 'field': [12743016144, 20212964928, 15077895600, 5935327072, 734579640, -421804752, -221733224, -27884760, 9153429, 3480760, 46335, -173820, -21875, 4020, 1125, -68, -21, 0, 1], 'lmfdb_label': '46800.l1', 'torsion': [9]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 1116605
    {'conductor': 46800, 'conductor_valuation': 4, 'discriminant_valuation': 21, 'j_denominator_valuation': 9, 'kodaira_symbol': -17, 'lmfdb_label': '46800.l1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1116606
    {'conductor': 46800, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '46800.l1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1116607
    {'conductor': 46800, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '46800.l1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1116608
    {'conductor': 46800, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '46800.l1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1975966
    {'adelic_gens': [[4, 3, 9, 7], [1251, 2, 10, 7], [1102, 453, 1559, 974], [1555, 6, 1554, 7], [1081, 6, 123, 19], [1169, 1554, 0, 1559], [781, 6, 783, 19], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '1560.16.0.?', 'conductor': 46800, 'lmfdb_label': '46800.l1', 'prime': 0}
  • id: 202506
    {'conductor': 46800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '46800.l1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 2346087
    {'lmfdb_iso': '46800.l', 'p': 7, 'prec': 20, 'unit': 3185015019856422, 'val': 1}
  • id: 2346083
    {'lmfdb_iso': '46800.l', 'p': 19, 'prec': 20, 'unit': 437565503707189033360957, 'val': 1}
  • id: 2346090
    {'lmfdb_iso': '46800.l', 'p': 29, 'prec': 20, 'unit': 3130485733061900758139132055, 'val': 1}
  • id: 2346100
    {'lmfdb_iso': '46800.l', 'p': 31, 'prec': 20, 'unit': 7515703256149497265771637426, 'val': 1}
  • id: 2346086
    {'lmfdb_iso': '46800.l', 'p': 37, 'prec': 20, 'unit': 585503115448085390662418514466, 'val': 1}
  • id: 2346088
    {'lmfdb_iso': '46800.l', 'p': 41, 'prec': 20, 'unit': 2107756255149427624555606988599, 'val': 1}
  • id: 2346089
    {'lmfdb_iso': '46800.l', 'p': 43, 'prec': 20, 'unit': 4520215681910238139966388165514, 'val': 1}
  • id: 2346098
    {'lmfdb_iso': '46800.l', 'p': 47, 'prec': 20, 'unit': 30420644382999129128507905513127, 'val': 1}
  • id: 2346094
    {'lmfdb_iso': '46800.l', 'p': 53, 'prec': 20, 'unit': 107427285205479608150168096220128, 'val': 1}
  • id: 2346092
    {'lmfdb_iso': '46800.l', 'p': 59, 'prec': 20, 'unit': 2742577667116583464640688900030362, 'val': 1}
  • id: 2346099
    {'lmfdb_iso': '46800.l', 'p': 61, 'prec': 20, 'unit': 7866972692514270411598802360122336, 'val': 1}
  • id: 2346085
    {'lmfdb_iso': '46800.l', 'p': 67, 'prec': 20, 'unit': 4901367050556727701482994264668779, 'val': 1}
  • id: 2346097
    {'lmfdb_iso': '46800.l', 'p': 71, 'prec': 20, 'unit': 80729471469841472118962159727073434, 'val': 1}
  • id: 2346095
    {'lmfdb_iso': '46800.l', 'p': 73, 'prec': 20, 'unit': 63144792169229309035678008448892524, 'val': 1}
  • id: 2346091
    {'lmfdb_iso': '46800.l', 'p': 79, 'prec': 20, 'unit': 914544064684483032265502737547690870, 'val': 1}
  • id: 2346093
    {'lmfdb_iso': '46800.l', 'p': 83, 'prec': 20, 'unit': 1477052994078406607065686731684718446, 'val': 1}
  • id: 2346096
    {'lmfdb_iso': '46800.l', 'p': 89, 'prec': 20, 'unit': 9368818633808670352781328980232136161, 'val': 1}
  • id: 2346084
    {'lmfdb_iso': '46800.l', 'p': 97, 'prec': 20, 'unit': 27356503549053869266601696082791925048, 'val': 1}