Elliptic curve data - 14994.m1

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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': '14994g', 'Clabel': '14994g1', 'Cnumber': 1, 'abc_quality': 0.9312386842610948, 'absD': 564360287791104, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2856, 'ainvs': [1, -1, 0, -23235, 1784789], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 14994, 'degree': 50688, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5390348606044361331242516434', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1], 'jinv': [-599077107, 243712], 'lmfdb_iso': '14994.m', 'lmfdb_label': '14994.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -474, -5068], 'min_quad_twist_disc': -7, 'modell_images': [], 'modm_images': ['2856.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.90076993287934661076173824777', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 2499], [3, 2, 1666], [7, 32, 306], [11, 2, 7497], [17, 18, 882]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.25787943042430278797485865601', 'prec': 107}, 'szpiro_ratio': 4.399840201421564, '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, -1, 0, 1, -1, 0, 0, -1, 0, 1, 1, 0, 3, 0, 0, 1, 1, 0, 2, -1], 'aplist': [-1, 0, -1, 0, 1, 3, 1, 2, 4, 0, -2, -7, 0, -11, 10, 9, -4, -4, -13, -8, 1, -1, -9, -3, -7], 'class_deg': 1, 'class_size': 1, 'conductor': 14994, 'isogeny_matrix': [[1]], 'lmfdb_iso': '14994.m', 'trace_hash': 1522606636793656884}
• 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': '0.046048056504076089728800160793', 'prec': 107}, 'conductor': 14994, 'gens': [[79, 622, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.90076993287934661076173824777', 'prec': 103}], 'lmfdb_label': '14994.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.48585970259076999789717055618', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5011824935317375808989935867128621294', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [-145, 79]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '14994.m1'}
• ec_torsion_growth •

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

  
  
  • id: 770603
    {'degree': 3, 'field': [-21, 9, -1, 1], 'lmfdb_label': '14994.m1', 'torsion': [2]}
  • id: 770604
    {'degree': 6, 'field': [2478, 1008, 739, -84, 10, 0, 1], 'lmfdb_label': '14994.m1', 'torsion': [2, 2]}
  • id: 770605
    {'degree': 8, 'field': [-908, 1445, -1526, 161, -77, -7, 7, -4, 1], 'lmfdb_label': '14994.m1', 'torsion': [3]}
  • id: 770606
    {'degree': 12, 'field': [-19712073, 5736504, -9054018, 188472, -338873, -113976, 55900, 15528, 441, -384, -50, 0, 1], 'lmfdb_label': '14994.m1', 'torsion': [4]}
• 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: 330709
    {'conductor': 14994, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '14994.m1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 330710
    {'conductor': 14994, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '14994.m1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 330711
    {'conductor': 14994, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '14994.m1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 330712
    {'conductor': 14994, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '14994.m1', 'prime': 17, '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

  
  {'adelic_gens': [[2143, 2, 2143, 3], [2855, 2, 2854, 3], [1429, 2, 1429, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 2855, 0], [409, 2, 409, 3], [953, 2, 953, 3], [2689, 2, 2689, 3]], 'adelic_image': '2856.2.0.?', 'conductor': 14994, 'lmfdb_label': '14994.m1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 671947
    {'lmfdb_iso': '14994.m', 'p': 5, 'prec': 20, 'unit': 1794854606486, 'val': 1}
  • id: 671946
    {'lmfdb_iso': '14994.m', 'p': 11, 'prec': 20, 'unit': 582942701092888415408, 'val': -1}
  • id: 671952
    {'lmfdb_iso': '14994.m', 'p': 13, 'prec': 20, 'unit': 444299108249172902047, 'val': 1}
  • id: 671955
    {'lmfdb_iso': '14994.m', 'p': 19, 'prec': 20, 'unit': 1902552322779129894044013, 'val': 1}
  • id: 671957
    {'lmfdb_iso': '14994.m', 'p': 23, 'prec': 20, 'unit': 9729204528329832948697998, 'val': 1}
  • id: 671949
    {'lmfdb_iso': '14994.m', 'p': 31, 'prec': 20, 'unit': 7358733605503400463282446709, 'val': 1}
  • id: 671962
    {'lmfdb_iso': '14994.m', 'p': 37, 'prec': 20, 'unit': 575672152927029127401069766299, 'val': 1}
  • id: 671951
    {'lmfdb_iso': '14994.m', 'p': 43, 'prec': 20, 'unit': 4644393616048111316268902677929, 'val': 1}
  • id: 671960
    {'lmfdb_iso': '14994.m', 'p': 47, 'prec': 20, 'unit': 926008016566707089749047403161, 'val': 2}
  • id: 671956
    {'lmfdb_iso': '14994.m', 'p': 53, 'prec': 20, 'unit': 83600039189201178787680744747361, 'val': 1}
  • id: 671954
    {'lmfdb_iso': '14994.m', 'p': 59, 'prec': 20, 'unit': 1336734747529784540016673018870904, 'val': 1}
  • id: 671961
    {'lmfdb_iso': '14994.m', 'p': 61, 'prec': 20, 'unit': 3231096360819824243536441990804985, 'val': 1}
  • id: 671945
    {'lmfdb_iso': '14994.m', 'p': 67, 'prec': 20, 'unit': 11126727492947440634478804246288882, 'val': 1}
  • id: 671948
    {'lmfdb_iso': '14994.m', 'p': 71, 'prec': 20, 'unit': 148640215841572756401744865876173717, 'val': 1}
  • id: 671950
    {'lmfdb_iso': '14994.m', 'p': 73, 'prec': 20, 'unit': 5845415697532960515208304608307685332, 'val': -1}
  • id: 671953
    {'lmfdb_iso': '14994.m', 'p': 79, 'prec': 20, 'unit': 755055312143624609585137145999139673, 'val': 1}
  • id: 671958
    {'lmfdb_iso': '14994.m', 'p': 83, 'prec': 20, 'unit': 2289995521672307244635385433040846102, 'val': 1}
  • id: 671959
    {'lmfdb_iso': '14994.m', 'p': 89, 'prec': 20, 'unit': 2223800527040235989696441077135836413, 'val': 1}
  • id: 671944
    {'lmfdb_iso': '14994.m', 'p': 97, 'prec': 20, 'unit': 18921235334724489971556814996703152459, 'val': 1}