Elliptic curve data - 4900.f1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '4900m', 'Clabel': '4900m2', 'Cnumber': 2, 'abc_quality': 0.8938173325222778, 'absD': 16141442800, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 210, 'ainvs': [0, 1, 0, -4818, 127273], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 4900, 'degree': 5184, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.86577526935495258529655649353', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3], 'jinv': [-262885120, 343], 'lmfdb_iso': '4900.f', 'lmfdb_label': '4900.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -98, -343], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '14.2.0.a.1', '30.8.0-3.a.1.2', '42.8.0.a.1', '105.8.0.?', '210.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.17657431531605375497069727407', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [5, 10, 196], [7, 32, 100]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60646851743170256616199047422', 'prec': 107}, 'szpiro_ratio': 4.36112118447097, '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, -2, 0, 0, 0, 0, 0, 1, 0, 3, 0, -4, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, -2, 0, 0, 3, -4, 0, -2, 3, 9, -8, -5, 6, -11, 6, -6, 0, 10, -5, 15, -10, -7, 12, 12, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 4900, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '4900.f', 'trace_hash': 1308985909792456097}
• 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': '0.17700973663040964426950152717', 'prec': 103}, 'conductor': 4900, 'gens': [[2, 343, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.17657431531605375497069727407', 'prec': 103}], 'lmfdb_label': '4900.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.2357077590526787331777939249', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6183310178255424822515378336744798534', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [2, 32, 44]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [5, 0], '5': 'a', '7': 'a', '11': [1, 0], '13': [1, 0], '17': [3, 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': '4900.f1'}
• ec_torsion_growth •

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

  
  
  • id: 255915
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '4900.f1', 'torsion': [3]}
  • id: 255916
    {'degree': 3, 'field': [-3, 2, -1, 1], 'lmfdb_label': '4900.f1', 'torsion': [2]}
  • id: 255917
    {'degree': 6, 'field': [1, -3, 1, 3, 1, -3, 1], 'lmfdb_label': '4900.f1', 'torsion': [2, 2]}
  • id: 255919
    {'degree': 6, 'field': [9, -27, 0, -15, 10, -2, 1], 'lmfdb_label': '4900.f1', 'torsion': [6]}
  • id: 255918
    {'degree': 6, 'field': [540, 0, 0, -40, 0, 0, 1], 'lmfdb_label': '4900.f1', 'torsion': [3]}
  • id: 255920
    {'degree': 12, 'field': [-41, 298, 152, 150, 165, 118, -124, 64, -40, 0, 12, -6, 1], 'lmfdb_label': '4900.f1', 'torsion': [4]}
  • id: 255922
    {'degree': 12, 'field': [1, 1, 1, -60, 210, -229, 246, -179, 105, -45, 16, -4, 1], 'lmfdb_label': '4900.f1', 'torsion': [2, 6]}
  • id: 255921
    {'degree': 12, 'field': [14259, 52920, 76692, 49980, 9795, -2580, 640, 1140, 105, -20, 12, 0, 1], 'lmfdb_label': '4900.f1', 'torsion': [3, 3]}
  • id: 255924
    {'degree': 18, 'field': [64, 0, 0, 192, 0, 0, -80, 0, 0, -320, 0, 0, 360, 0, 0, -28, 0, 0, 1], 'lmfdb_label': '4900.f1', 'torsion': [6]}
  • id: 255923
    {'degree': 18, 'field': [39589641, -193246074, 194812695, -17617194, -52247475, 13856346, 6916876, -1907010, -1017684, 155680, 147555, -11340, -15945, 630, 1215, -14, -54, 0, 1], 'lmfdb_label': '4900.f1', '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: 94514
    {'conductor': 4900, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '4900.f1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 94515
    {'conductor': 4900, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '4900.f1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 94516
    {'conductor': 4900, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '4900.f1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1695912
    {'adelic_gens': [[1, 0, 6, 1], [4, 3, 9, 7], [3, 4, 8, 11], [179, 204, 117, 191], [171, 2, 10, 7], [38, 177, 115, 7], [1, 6, 0, 1], [205, 6, 204, 7]], 'adelic_image': '210.16.0.?', 'conductor': 4900, 'lmfdb_label': '4900.f1', 'prime': 0}
  • id: 24313
    {'conductor': 4900, 'elladic_image': '3.4.0.1', 'lmfdb_label': '4900.f1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 178976
    {'lmfdb_iso': '4900.f', 'p': 11, 'prec': 20, 'unit': 31562886287413058183, 'val': 1}
  • id: 178982
    {'lmfdb_iso': '4900.f', 'p': 13, 'prec': 20, 'unit': 453926609629313939088, 'val': 1}
  • id: 178984
    {'lmfdb_iso': '4900.f', 'p': 19, 'prec': 20, 'unit': 629617128749144106333034, 'val': 1}
  • id: 178987
    {'lmfdb_iso': '4900.f', 'p': 23, 'prec': 20, 'unit': 47110904942691118795997591, 'val': 1}
  • id: 178981
    {'lmfdb_iso': '4900.f', 'p': 29, 'prec': 20, 'unit': 5198625568222207473758839444, 'val': 1}
  • id: 178992
    {'lmfdb_iso': '4900.f', 'p': 31, 'prec': 20, 'unit': 12651224857256851673108151041, 'val': 1}
  • id: 178977
    {'lmfdb_iso': '4900.f', 'p': 37, 'prec': 20, 'unit': 108725122098003547900539693124, 'val': 1}
  • id: 178979
    {'lmfdb_iso': '4900.f', 'p': 41, 'prec': 20, 'unit': 1244099290974218712013119151145, 'val': 1}
  • id: 178980
    {'lmfdb_iso': '4900.f', 'p': 43, 'prec': 20, 'unit': 10326959924417481568412011102965, 'val': 1}
  • id: 178983
    {'lmfdb_iso': '4900.f', 'p': 47, 'prec': 20, 'unit': 47234918435910556581378798696097, 'val': 1}
  • id: 178985
    {'lmfdb_iso': '4900.f', 'p': 53, 'prec': 20, 'unit': 222366990849185519505892901439001, 'val': 1}
  • id: 178990
    {'lmfdb_iso': '4900.f', 'p': 61, 'prec': 20, 'unit': 3419009677568624366047981189140312, 'val': 1}
  • id: 178975
    {'lmfdb_iso': '4900.f', 'p': 67, 'prec': 20, 'unit': 3215609080188257579624406902155832, 'val': 1}
  • id: 178978
    {'lmfdb_iso': '4900.f', 'p': 71, 'prec': 20, 'unit': 25587283732949210400172365397162964, 'val': 1}
  • id: 178986
    {'lmfdb_iso': '4900.f', 'p': 73, 'prec': 20, 'unit': 191698763653575272973869309208079747, 'val': 1}
  • id: 178989
    {'lmfdb_iso': '4900.f', 'p': 79, 'prec': 20, 'unit': 163444932075588693567511693001419237, 'val': 1}
  • id: 178991
    {'lmfdb_iso': '4900.f', 'p': 83, 'prec': 20, 'unit': 453237567276289198237873080799131515, 'val': 1}
  • id: 178988
    {'lmfdb_iso': '4900.f', 'p': 89, 'prec': 20, 'unit': 5191096619477360020023647554410041250, 'val': 1}
  • id: 178974
    {'lmfdb_iso': '4900.f', 'p': 97, 'prec': 20, 'unit': 17431779321643201620810898320583210189, 'val': 1}