Elliptic curve data - 4704.h1

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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': '4704b', 'Clabel': '4704b1', 'Cnumber': 1, 'abc_quality': 1.0055851479262294, 'absD': 265531392, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, -1, 0, -653, 6693], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 4704, 'degree': 1728, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.44142981599292589330772710634', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1], 'jinv': [-3136000, 27], 'lmfdb_iso': '4704.h', 'lmfdb_label': '4704.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -653, 6693], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.30540799776326445992974310014', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 147], [3, 4, 1568], [7, 20, 96]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90035408091879051781128926293', 'prec': 107}, 'szpiro_ratio': 3.6747888157050626, '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, -1, 0, 0, 0, 0, 0, 1, 0, -2, 0, 5, 0, 0, 0, -2, 0, -3, 0], 'aplist': [0, -1, 0, 0, -2, 5, -2, -3, -2, 8, 1, -5, 2, -7, 8, -2, -10, -2, 11, -12, -3, -17, 16, 12, -14], 'class_deg': 1, 'class_size': 1, 'conductor': 4704, 'isogeny_matrix': [[1]], 'lmfdb_iso': '4704.h', 'trace_hash': 794346216684126604}
• 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': '0.41359847952732923319507838106', 'prec': 103}, 'conductor': 4704, 'gens': [[19, 28, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.30540799776326445992974310014', 'prec': 103}], 'lmfdb_label': '4704.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.7528558812415120734134806541', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2120172303451960387380282092787329338', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [-29, 12, 19]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 3, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [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': '4704.h1'}
• ec_torsion_growth •

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

  
  
  • id: 244533
    {'degree': 3, 'field': [1, 5, -1, 1], 'lmfdb_label': '4704.h1', 'torsion': [2]}
  • id: 244534
    {'degree': 6, 'field': [27, 9, -8, -3, 4, -3, 1], 'lmfdb_label': '4704.h1', 'torsion': [2, 2]}
  • id: 244535
    {'degree': 8, 'field': [-75, 0, 64, 0, 30, 0, 0, 0, 1], 'lmfdb_label': '4704.h1', 'torsion': [3]}
  • id: 244536
    {'degree': 12, 'field': [-27, 0, -330, 0, -1025, 0, -80, 0, 15, 0, 10, 0, 1], 'lmfdb_label': '4704.h1', '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: 89962
    {'conductor': 4704, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '4704.h1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 89963
    {'conductor': 4704, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '4704.h1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 89964
    {'conductor': 4704, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '4704.h1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
• 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': [[5, 2, 5, 3], [1, 1, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 4704, 'lmfdb_label': '4704.h1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 170670
    {'lmfdb_iso': '4704.h', 'p': 11, 'prec': 20, 'unit': 19213918388805173887, 'val': 1}
  • id: 170676
    {'lmfdb_iso': '4704.h', 'p': 13, 'prec': 20, 'unit': 78569027789123797343, 'val': 1}
  • id: 170678
    {'lmfdb_iso': '4704.h', 'p': 17, 'prec': 20, 'unit': 18045792151745594613950, 'val': 1}
  • id: 170679
    {'lmfdb_iso': '4704.h', 'p': 19, 'prec': 20, 'unit': 1689734745321143417137940, 'val': 1}
  • id: 170683
    {'lmfdb_iso': '4704.h', 'p': 23, 'prec': 20, 'unit': 57186600208632207798343767, 'val': 1}
  • id: 170675
    {'lmfdb_iso': '4704.h', 'p': 29, 'prec': 20, 'unit': 3251921203546836560452939472, 'val': 1}
  • id: 170688
    {'lmfdb_iso': '4704.h', 'p': 31, 'prec': 20, 'unit': 319406035788801049577532984767, 'val': -1}
  • id: 170671
    {'lmfdb_iso': '4704.h', 'p': 37, 'prec': 20, 'unit': 580156126636583944385023540039, 'val': 1}
  • id: 170673
    {'lmfdb_iso': '4704.h', 'p': 41, 'prec': 20, 'unit': 841945395080544855472613161636, 'val': 1}
  • id: 170674
    {'lmfdb_iso': '4704.h', 'p': 43, 'prec': 20, 'unit': 1796967826080833014589701572668, 'val': 1}
  • id: 170685
    {'lmfdb_iso': '4704.h', 'p': 47, 'prec': 20, 'unit': 26335532595220687329610190565200, 'val': 1}
  • id: 170680
    {'lmfdb_iso': '4704.h', 'p': 53, 'prec': 20, 'unit': 535629879953417131998622732046676, 'val': 1}
  • id: 170681
    {'lmfdb_iso': '4704.h', 'p': 59, 'prec': 20, 'unit': 2029628675517322942999879631411509, 'val': 1}
  • id: 170686
    {'lmfdb_iso': '4704.h', 'p': 61, 'prec': 20, 'unit': 6517628134162911082529994899692750, 'val': 1}
  • id: 170669
    {'lmfdb_iso': '4704.h', 'p': 67, 'prec': 20, 'unit': 21361621446155992000158914713721458, 'val': 1}
  • id: 170672
    {'lmfdb_iso': '4704.h', 'p': 71, 'prec': 20, 'unit': 44900018836659494260074585134250925, 'val': 1}
  • id: 170682
    {'lmfdb_iso': '4704.h', 'p': 73, 'prec': 20, 'unit': 24027007510730535915688528446090410, 'val': 1}
  • id: 170677
    {'lmfdb_iso': '4704.h', 'p': 79, 'prec': 20, 'unit': 848282215946858959677965181406503635, 'val': 1}
  • id: 170687
    {'lmfdb_iso': '4704.h', 'p': 83, 'prec': 20, 'unit': 902913563954208887672941019068771370, 'val': 1}
  • id: 170684
    {'lmfdb_iso': '4704.h', 'p': 89, 'prec': 20, 'unit': 1923553323145701537061410990963234219, 'val': 1}
  • id: 170668
    {'lmfdb_iso': '4704.h', 'p': 97, 'prec': 20, 'unit': 48357469722568083450764120115476455190, 'val': 1}