Elliptic curve data - 2904.g1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '2904k', 'Clabel': '2904k3', 'Cnumber': 3, 'abc_quality': 0.9748605365818221, 'absD': 3232687822848, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, -1, 0, -57152, -5239188], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2904, 'degree': 7680, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4113606362548611030707630971', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [5690357426, 891], 'lmfdb_iso': '2904.g', 'lmfdb_label': '2904.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -472, 4108], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '24.24.0-24.bb.1.5', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.298515378136036121921379113', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42297191565760736925933813655', 'prec': 107}, 'szpiro_ratio': 5.577489028598283, '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, 0, -1, 0, 2, 0, 0, 0, 1, 0, 0, 0, -2, 0, -2, 0, -6, 0, 0, 0], 'aplist': [0, -1, 2, 0, 0, -2, -6, 0, 4, -2, 0, -10, -6, 8, -4, -6, -12, -2, 4, 12, 14, -16, 12, 10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 2904, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '2904.g', 'trace_hash': 1471858824170223757}
• 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': '0.059443959196231209945176482742', 'prec': 107}, 'conductor': 2904, 'gens': [[-124811, 472787, 30]], 'heights': [{'__RealLiteral__': 0, 'data': '10.298515378136036121921379113', 'prec': 100}], 'lmfdb_label': '2904.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30877714244810939742504261981', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1799461499187560414047210780852192219', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-139, 0, 1]], 'xcoord_integral_points': [-139]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': [1, 3, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2904.g1'}
• ec_torsion_growth •

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

  
  
  • id: 152081
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '2904.g1', 'torsion': [2, 2]}
  • id: 152083
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '2904.g1', 'torsion': [4]}
  • id: 152082
    {'degree': 2, 'field': [22, 0, 1], 'lmfdb_label': '2904.g1', 'torsion': [4]}
  • id: 152084
    {'degree': 4, 'field': [-22, 0, 0, 0, 1], 'lmfdb_label': '2904.g1', 'torsion': [2, 4]}
  • id: 152085
    {'degree': 4, 'field': [121, 0, 0, 0, 1], 'lmfdb_label': '2904.g1', 'torsion': [2, 4]}
  • id: 152089
    {'degree': 8, 'field': [1, -4, 4, -18, 12, -18, 4, -4, 1], 'lmfdb_label': '2904.g1', 'torsion': [6]}
  • id: 152087
    {'degree': 8, 'field': [16, 0, 0, 0, 14, 0, 0, 0, 1], 'lmfdb_label': '2904.g1', 'torsion': [8]}
  • id: 152088
    {'degree': 8, 'field': [144, 0, 444, 0, 193, 0, 26, 0, 1], 'lmfdb_label': '2904.g1', 'torsion': [8]}
  • id: 152086
    {'degree': 8, 'field': [441, 0, 268, 0, -38, 0, 4, 0, 1], 'lmfdb_label': '2904.g1', 'torsion': [4, 4]}
  • id: 152090
    {'degree': 16, 'field': [-8447, -10208, 7824, 13024, -16, -352, 2584, -2112, -2394, 0, -320, -352, -16, 0, -8, 0, 1], 'lmfdb_label': '2904.g1', 'torsion': [2, 8]}
  • id: 152095
    {'degree': 16, 'field': [1, 0, 8, 0, -104, 0, 364, 0, -502, 0, 364, 0, -104, 0, 8, 0, 1], 'lmfdb_label': '2904.g1', 'torsion': [12]}
  • id: 152092
    {'degree': 16, 'field': [9, 0, 1200, 0, 6622, 0, 10812, 0, 7743, 0, 2708, 0, 462, 0, 36, 0, 1], 'lmfdb_label': '2904.g1', 'torsion': [2, 8]}
  • id: 152094
    {'degree': 16, 'field': [484, 0, -88, 0, -2372, 0, 1128, 0, 3312, 0, 1236, 0, 64, 0, 2, 0, 1], 'lmfdb_label': '2904.g1', 'torsion': [12]}
  • id: 152093
    {'degree': 16, 'field': [484, 0, 88, 0, -2372, 0, -1128, 0, 3312, 0, -1236, 0, 64, 0, -2, 0, 1], 'lmfdb_label': '2904.g1', 'torsion': [2, 6]}
  • id: 152091
    {'degree': 16, 'field': [961, 0, -2848, 0, 3416, 0, -840, 0, -178, 0, 0, 0, 56, 0, 8, 0, 1], 'lmfdb_label': '2904.g1', 'torsion': [2, 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: 51977
    {'conductor': 2904, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '2904.g1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 51978
    {'conductor': 2904, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2904.g1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 51979
    {'conductor': 2904, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '2904.g1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1682979
    {'adelic_gens': [[89, 8, 92, 33], [1, 0, 8, 1], [232, 107, 169, 198], [168, 41, 193, 240], [1, 8, 0, 1], [7, 6, 258, 259], [1, 4, 4, 17], [257, 8, 256, 9], [212, 263, 97, 258]], 'adelic_image': '264.48.0.?', 'conductor': 2904, 'lmfdb_label': '2904.g1', 'prime': 0}
  • id: 14644
    {'conductor': 2904, 'elladic_image': '4.12.0.8', 'lmfdb_label': '2904.g1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 93772
    {'lmfdb_iso': '2904.g', 'p': 5, 'prec': 20, 'unit': 3244355090918, 'val': 1}
  • id: 93761
    {'lmfdb_iso': '2904.g', 'p': 13, 'prec': 20, 'unit': 670128384501934225852, 'val': 1}
  • id: 93763
    {'lmfdb_iso': '2904.g', 'p': 17, 'prec': 20, 'unit': 31609514378797636230790, 'val': 1}
  • id: 93768
    {'lmfdb_iso': '2904.g', 'p': 23, 'prec': 20, 'unit': 17661826962736467940190266, 'val': 1}
  • id: 93760
    {'lmfdb_iso': '2904.g', 'p': 29, 'prec': 20, 'unit': 1264074758839861786060643130, 'val': 1}
  • id: 93756
    {'lmfdb_iso': '2904.g', 'p': 37, 'prec': 20, 'unit': 491257189898210867629736413018, 'val': 1}
  • id: 93758
    {'lmfdb_iso': '2904.g', 'p': 41, 'prec': 20, 'unit': 1964736869776613435455303149629, 'val': 1}
  • id: 93759
    {'lmfdb_iso': '2904.g', 'p': 43, 'prec': 20, 'unit': 5203926391576741505610783417783, 'val': 1}
  • id: 93770
    {'lmfdb_iso': '2904.g', 'p': 47, 'prec': 20, 'unit': 46250200251763386276383033405052, 'val': 1}
  • id: 93765
    {'lmfdb_iso': '2904.g', 'p': 53, 'prec': 20, 'unit': 547050855506304017922462395960233, 'val': 1}
  • id: 93766
    {'lmfdb_iso': '2904.g', 'p': 59, 'prec': 20, 'unit': 4177334838307618535470166429209864, 'val': 1}
  • id: 93771
    {'lmfdb_iso': '2904.g', 'p': 61, 'prec': 20, 'unit': 2397277362677244607444823313944916, 'val': 1}
  • id: 93755
    {'lmfdb_iso': '2904.g', 'p': 67, 'prec': 20, 'unit': 39603153358941321946864086524061164, 'val': 1}
  • id: 93757
    {'lmfdb_iso': '2904.g', 'p': 71, 'prec': 20, 'unit': 94651443517616559438406532836629757, 'val': 1}
  • id: 93767
    {'lmfdb_iso': '2904.g', 'p': 73, 'prec': 20, 'unit': 218861638331747463965526926786163602, 'val': 1}
  • id: 93762
    {'lmfdb_iso': '2904.g', 'p': 79, 'prec': 20, 'unit': 122183977647057289802544557921405334, 'val': 1}
  • id: 93764
    {'lmfdb_iso': '2904.g', 'p': 83, 'prec': 20, 'unit': 331858015358877892871815073469428576, 'val': 1}
  • id: 93769
    {'lmfdb_iso': '2904.g', 'p': 89, 'prec': 20, 'unit': 8093006306122759447823124164048737899, 'val': 1}
  • id: 93754
    {'lmfdb_iso': '2904.g', 'p': 97, 'prec': 20, 'unit': 34010475325799610450095932820922597323, 'val': 1}