Elliptic curve data - 19110.cx1

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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': '19110dd', 'Clabel': '19110dd2', 'Cnumber': 2, 'abc_quality': 0.9755151248196078, 'absD': 65824872750000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5460, 'ainvs': [1, 0, 0, -12195, -342063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 19110, 'degree': 61440, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3545346922096035475026680411', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 75, 'isogeny_degrees': [1, 2], 'jinv': [584759426925367, 191909250000], 'lmfdb_iso': '19110.cx', 'lmfdb_label': '19110.cx1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -12195, -342063], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '364.6.0.?', '420.6.0.?', '780.6.0.?', '5460.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.17108424581325289176554968877', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 91], [3, 4, 1274], [5, 6, 1274], [7, 20, 390], [13, 14, 1470]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86805715494577522122632985524', 'prec': 103}, 'szpiro_ratio': 4.041396358827532, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, 1, 1, 1, 1, 1, 0, 1, 1, 1, -4, 1, -1, 0, 1, 1, 0, 1, 2, 1], 'aplist': [1, 1, 1, 0, -4, -1, 0, 2, -4, 2, -6, -4, 6, -6, -10, 6, -4, -4, -8, -12, 10, 0, -6, -6, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 19110, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '19110.cx', 'trace_hash': 556199899261477808}
• 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': '0.066598755724928082657569217097', 'prec': 107}, 'conductor': 19110, 'gens': [[-36, 243, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.17108424581325289176554968877', 'prec': 103}], 'lmfdb_label': '19110.cx1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.46622258848246896373776343424', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.5716007917950920024154456267157706028', 'prec': 130}, 'tamagawa_product': 480, 'torsion_generators': [[-369, 369, 2]], 'xcoord_integral_points': [-72, -66, -36, 144, 414, 564, 19044]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': [4, 0], '5': [4, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '19110.cx1'}
• ec_torsion_growth •

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

  
  
  • id: 978237
    {'degree': 2, 'field': [-91, 0, 1], 'lmfdb_label': '19110.cx1', 'torsion': [2, 2]}
  • id: 978238
    {'degree': 4, 'field': [91, 0, 28, 0, 1], 'lmfdb_label': '19110.cx1', 'torsion': [4]}
  • id: 978241
    {'degree': 8, 'field': [-810, -648, 756, -217, 112, -7, 7, -4, 1], 'lmfdb_label': '19110.cx1', 'torsion': [6]}
  • id: 978239
    {'degree': 8, 'field': [38025, 65910, 50206, 18148, 2603, -164, -82, -2, 1], 'lmfdb_label': '19110.cx1', 'torsion': [2, 4]}
  • id: 978240
    {'degree': 8, 'field': [480249, 0, -36848, 0, 1610, 0, -112, 0, 1], 'lmfdb_label': '19110.cx1', 'torsion': [2, 4]}
  • id: 978243
    {'degree': 16, 'field': [18704678112, 3257498592, -2941572672, -578662056, 162871236, 133962660, -16347471, -21623922, 2206684, 1979572, -245177, -78986, 10495, 1204, -152, -8, 1], 'lmfdb_label': '19110.cx1', 'torsion': [2, 6]}
  • id: 978242
    {'degree': 16, 'field': [64526160400, 0, -5351216000, 0, 1376138140, 0, -74418500, 0, 5113081, 0, -65456, 0, 3946, 0, 4, 0, 1], 'lmfdb_label': '19110.cx1', 'torsion': [8]}
• 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: 431905
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '19110.cx1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 431906
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '19110.cx1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 431907
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '19110.cx1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 431908
    {'conductor': 19110, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '19110.cx1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 431909
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '19110.cx1', '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: 1791725
    {'adelic_gens': [[1, 2, 2, 5], [2942, 1, 1259, 0], [1, 4, 0, 1], [3641, 4, 1822, 9], [1, 0, 4, 1], [3904, 1, 3119, 0], [3, 4, 8, 11], [5457, 4, 5456, 5], [3277, 4, 1094, 9], [4096, 1369, 1365, 4096]], 'adelic_image': '5460.12.0.?', 'conductor': 19110, 'lmfdb_label': '19110.cx1', 'prime': 0}
  • id: 89260
    {'conductor': 19110, 'elladic_image': '2.3.0.1', 'lmfdb_label': '19110.cx1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 884171
    {'lmfdb_iso': '19110.cx', 'p': 11, 'prec': 20, 'unit': 12295741879392869013, 'val': 1}
  • id: 884172
    {'lmfdb_iso': '19110.cx', 'p': 19, 'prec': 20, 'unit': 1820138255211307198255916, 'val': 1}
  • id: 884175
    {'lmfdb_iso': '19110.cx', 'p': 23, 'prec': 20, 'unit': 10968877749678580859629361, 'val': 1}
  • id: 884169
    {'lmfdb_iso': '19110.cx', 'p': 29, 'prec': 20, 'unit': 2526924333366297196988846627, 'val': 1}
  • id: 884179
    {'lmfdb_iso': '19110.cx', 'p': 31, 'prec': 20, 'unit': 10019565589845485300452228965, 'val': 1}
  • id: 884165
    {'lmfdb_iso': '19110.cx', 'p': 37, 'prec': 20, 'unit': 443798794546123585372060674626, 'val': 1}
  • id: 884167
    {'lmfdb_iso': '19110.cx', 'p': 41, 'prec': 20, 'unit': 2663281560192758215156377068811, 'val': 1}
  • id: 884168
    {'lmfdb_iso': '19110.cx', 'p': 43, 'prec': 20, 'unit': 3548578769023373039162652516339, 'val': 1}
  • id: 884170
    {'lmfdb_iso': '19110.cx', 'p': 47, 'prec': 20, 'unit': 6851300216822515296915232926273, 'val': 1}
  • id: 884173
    {'lmfdb_iso': '19110.cx', 'p': 53, 'prec': 20, 'unit': 279902879957061770268256816101756, 'val': 1}
  • id: 884177
    {'lmfdb_iso': '19110.cx', 'p': 59, 'prec': 20, 'unit': 354700790621317067434797889161287, 'val': 1}
  • id: 884178
    {'lmfdb_iso': '19110.cx', 'p': 61, 'prec': 20, 'unit': 7197619955062340763268201914395491, 'val': 1}
  • id: 884164
    {'lmfdb_iso': '19110.cx', 'p': 67, 'prec': 20, 'unit': 2542357854304185144145736095299459, 'val': 1}
  • id: 884166
    {'lmfdb_iso': '19110.cx', 'p': 71, 'prec': 20, 'unit': 2556020727944402283750292675880841, 'val': 1}
  • id: 884174
    {'lmfdb_iso': '19110.cx', 'p': 73, 'prec': 20, 'unit': 214113224030599731797530506552306491, 'val': 1}
  • id: 884163
    {'lmfdb_iso': '19110.cx', 'p': 83, 'prec': 20, 'unit': 954836162166392350291849811798443364, 'val': 1}
  • id: 884176
    {'lmfdb_iso': '19110.cx', 'p': 89, 'prec': 20, 'unit': 9652474565181387639767845512844943702, 'val': 1}
  • id: 884162
    {'lmfdb_iso': '19110.cx', 'p': 97, 'prec': 20, 'unit': 29360311718575072333591252239257415784, 'val': 1}