Elliptic curve data - 107648.bo1

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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': '107648i', 'Clabel': '107648i1', 'Cnumber': 1, 'abc_quality': 0.8884240490394303, 'absD': 76137385088, 'adelic_genus': 0, 'adelic_index': 96, 'adelic_level': 928, 'ainvs': [0, -1, 0, -1962, -30058], 'analytic_rank': 1, 'bad_primes': [2, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 107648, 'degree': 96768, 'elladic_images': ['32.48.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.82721817929101101419732989560', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 40, 'isogeny_degrees': [1, 2], 'jinv': [10976, 1], 'lmfdb_iso': '107648.bo', 'lmfdb_label': '107648.bo1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -9, 7], 'min_quad_twist_disc': -232, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '8.12.0.h.1', '16.24.0.c.1', '32.48.0.c.1', '232.24.0.?', '464.48.0.?', '928.96.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '39.448088514201416275605107800', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 841], [29, 422, 128]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2607655910288607632210248581', 'prec': 103}, 'szpiro_ratio': 2.965426145730404, '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, 2, 0, 2, 0, 4, 0, 1, 0, -2, 0, 2, 0, 4, 0, 2, 0, 2, 0], 'aplist': [0, 2, 2, 4, -2, 2, 2, 2, -4, 0, 0, -10, 6, 6, -8, -6, -14, -2, -10, -12, -14, -8, 6, 2, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 107648, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '107648.bo', 'trace_hash': 2241723368259072330}
• 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': '0.19119979346258561095517911123', 'prec': 103}, 'conductor': 107648, 'gens': [[-114621977014971991, 15616423524782214782311230, 66845633]], 'heights': [{'__RealLiteral__': 0, 'data': '39.448088514201416275605107800', 'prec': 100}], 'lmfdb_label': '107648.bo1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.72149043877970602303771948722', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '14.230709345565930630377292458663461557', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[-19, 0, 1]], 'xcoord_integral_points': [-19]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': [1, 0], '29': 'a', '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '107648.bo1'}
• ec_torsion_growth •

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

  
  
  • id: 4968912
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '107648.bo1', 'torsion': [2, 2]}
  • id: 4968913
    {'degree': 4, 'field': [1682, 0, -58, 0, 1], 'lmfdb_label': '107648.bo1', 'torsion': [4]}
  • id: 4968916
    {'degree': 8, 'field': [-1177289, 769196, -203000, -16884, 3918, -348, 4, -4, 1], 'lmfdb_label': '107648.bo1', 'torsion': [6]}
  • id: 4968914
    {'degree': 8, 'field': [152881, 0, -4932, 0, -1010, 0, -4, 0, 1], 'lmfdb_label': '107648.bo1', 'torsion': [2, 4]}
  • id: 4968915
    {'degree': 8, 'field': [201601, 1796, -25368, -1580, 1584, 100, -48, -4, 1], 'lmfdb_label': '107648.bo1', 'torsion': [2, 4]}
  • id: 4968919
    {'degree': 16, 'field': [-2052795106, 16073096808, -12658304888, -1799936800, -70765732, 25527040, 71392680, -6336040, 494916, -513496, 62820, 2080, 2512, -352, -4, 0, 1], 'lmfdb_label': '107648.bo1', 'torsion': [2, 6]}
  • id: 4968918
    {'degree': 16, 'field': [277021721, -32760096, -114943708, -656592, 22459008, 3288880, -2942604, -635016, 246920, 67632, -13612, -5248, 720, 224, -20, -8, 1], 'lmfdb_label': '107648.bo1', 'torsion': [8]}
  • id: 4968917
    {'degree': 16, 'field': [31713198724, 0, 1785188176, 0, 315426728, 0, 7082880, 0, 1058440, 0, 3320, 0, 1708, 0, -8, 0, 1], 'lmfdb_label': '107648.bo1', 'torsion': [4, 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: 2646371
    {'conductor': 107648, 'conductor_valuation': 7, 'discriminant_valuation': 7, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '107648.bo1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2646372
    {'conductor': 107648, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '107648.bo1', 'prime': 29, '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: 2370092
    {'adelic_gens': [[289, 0, 0, 927], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [607, 0, 0, 927], [921, 8, 920, 9], [610, 899, 841, 320], [7, 8, 20, 23]], 'adelic_image': '928.96.0.?', 'conductor': 107648, 'lmfdb_label': '107648.bo1', 'prime': 0}
  • id: 428843
    {'conductor': 107648, 'elladic_image': '32.48.0.18', 'lmfdb_label': '107648.bo1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5613670
    {'lmfdb_iso': '107648.bo', 'p': 5, 'prec': 20, 'unit': 2605087177871, 'val': 1}
  • id: 5613671
    {'lmfdb_iso': '107648.bo', 'p': 7, 'prec': 20, 'unit': 2122165551617858, 'val': 1}
  • id: 5613676
    {'lmfdb_iso': '107648.bo', 'p': 11, 'prec': 20, 'unit': 50280933183824325735, 'val': 1}
  • id: 5613674
    {'lmfdb_iso': '107648.bo', 'p': 13, 'prec': 20, 'unit': 1388586553722700390298, 'val': 1}
  • id: 5613677
    {'lmfdb_iso': '107648.bo', 'p': 17, 'prec': 20, 'unit': 6578865150879669515302, 'val': 2}
  • id: 5613678
    {'lmfdb_iso': '107648.bo', 'p': 19, 'prec': 20, 'unit': 534955167788153142467859, 'val': 1}
  • id: 5613682
    {'lmfdb_iso': '107648.bo', 'p': 23, 'prec': 20, 'unit': 60783797068003095113793757, 'val': 1}
  • id: 5613687
    {'lmfdb_iso': '107648.bo', 'p': 37, 'prec': 20, 'unit': 136417299458994977080816767637, 'val': 1}
  • id: 5613672
    {'lmfdb_iso': '107648.bo', 'p': 41, 'prec': 20, 'unit': 3898347948602404022853641956309, 'val': 1}
  • id: 5613673
    {'lmfdb_iso': '107648.bo', 'p': 43, 'prec': 20, 'unit': 8178894993683384162186267661357, 'val': 1}
  • id: 5613685
    {'lmfdb_iso': '107648.bo', 'p': 47, 'prec': 20, 'unit': 5605609264804040193512938377069, 'val': 1}
  • id: 5613679
    {'lmfdb_iso': '107648.bo', 'p': 53, 'prec': 20, 'unit': 422431968349640590407920771696359, 'val': 1}
  • id: 5613680
    {'lmfdb_iso': '107648.bo', 'p': 59, 'prec': 20, 'unit': 3268487755577312305636655056515561, 'val': 1}
  • id: 5613686
    {'lmfdb_iso': '107648.bo', 'p': 61, 'prec': 20, 'unit': 7327328909922389497724742590499616, 'val': 1}
  • id: 5613669
    {'lmfdb_iso': '107648.bo', 'p': 67, 'prec': 20, 'unit': 24150134223186213066552062436277724, 'val': 1}
  • id: 5613684
    {'lmfdb_iso': '107648.bo', 'p': 71, 'prec': 20, 'unit': 37730987744592347246414575099723324, 'val': 1}
  • id: 5613681
    {'lmfdb_iso': '107648.bo', 'p': 73, 'prec': 20, 'unit': 245809868096952999428495710715050135, 'val': 1}
  • id: 5613675
    {'lmfdb_iso': '107648.bo', 'p': 79, 'prec': 20, 'unit': 108604509471478471240354676322571485, 'val': 1}
  • id: 5613668
    {'lmfdb_iso': '107648.bo', 'p': 83, 'prec': 20, 'unit': 201986844056858815261299436069740240, 'val': 1}
  • id: 5613683
    {'lmfdb_iso': '107648.bo', 'p': 89, 'prec': 20, 'unit': 5557863923041881375379457400817102783, 'val': 1}
  • id: 5613667
    {'lmfdb_iso': '107648.bo', 'p': 97, 'prec': 20, 'unit': 24875847253831705105650499711643834277, 'val': 1}