Elliptic curve data - 6240.i1

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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': '6240w', 'Clabel': '6240w1', 'Cnumber': 1, 'abc_quality': 0.8215009872828589, 'absD': 7188480, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 390, 'ainvs': [0, -1, 0, -125, 597], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 6240, 'degree': 1152, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.090410766363085900937463841781', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1], 'jinv': [-53157376, 1755], 'lmfdb_iso': '6240.i', 'lmfdb_label': '6240.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -125, 597], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['390.2.0.?'], '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': '0.73717927005387398511069693012', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 195], [3, 4, 2080], [5, 6, 1248], [13, 14, 480]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60273641419685940847976827968', 'prec': 107}, 'szpiro_ratio': 2.9937988087894234, '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, 1, 0, -1, 0, 1, 0, -1, 0, -1, 0, -1, 0, -5, 0, 2, 0], 'aplist': [0, -1, 1, -1, -1, -1, -5, 2, 7, 0, 4, -7, -11, 6, 0, 11, 4, -7, 8, -9, 2, 3, 0, 3, 7], 'class_deg': 1, 'class_size': 1, 'conductor': 6240, 'isogeny_matrix': [[1]], 'lmfdb_iso': '6240.i', 'trace_hash': 195248396280836937}
• 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': '0.83458429138885239936092479941', 'prec': 103}, 'conductor': 6240, 'gens': [[7, 4, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.73717927005387398511069693012', 'prec': 103}], 'lmfdb_label': '6240.i1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.3441756711837070690417289071', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4561554203225105965124606651872591370', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-12, 7]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [3, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '6240.i1'}
• ec_torsion_growth •

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

  
  
  • id: 325204
    {'degree': 3, 'field': [-5, -1, -1, 1], 'lmfdb_label': '6240.i1', 'torsion': [2]}
  • id: 325205
    {'degree': 6, 'field': [780, 0, 16, 0, -8, 0, 1], 'lmfdb_label': '6240.i1', 'torsion': [2, 2]}
  • id: 325206
    {'degree': 8, 'field': [-243, 0, 688, 0, 54, 0, 0, 0, 1], 'lmfdb_label': '6240.i1', 'torsion': [3]}
  • id: 325207
    {'degree': 12, 'field': [28932, -42032, -25248, 19312, 8464, 6528, 15436, 1552, -246, -92, -32, 0, 1], 'lmfdb_label': '6240.i1', '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: 124737
    {'conductor': 6240, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '6240.i1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 124738
    {'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6240.i1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 124739
    {'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6240.i1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 124740
    {'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6240.i1', 'prime': 13, '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': [[301, 2, 301, 3], [389, 2, 388, 3], [131, 2, 131, 3], [157, 2, 157, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 389, 0]], 'adelic_image': '390.2.0.?', 'conductor': 6240, 'lmfdb_label': '6240.i1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 243698
    {'lmfdb_iso': '6240.i', 'p': 7, 'prec': 20, 'unit': 534423652915529, 'val': 1}
  • id: 243702
    {'lmfdb_iso': '6240.i', 'p': 11, 'prec': 20, 'unit': 3173996789032101528, 'val': 1}
  • id: 243703
    {'lmfdb_iso': '6240.i', 'p': 17, 'prec': 20, 'unit': 120928311147031480658972, 'val': 1}
  • id: 243704
    {'lmfdb_iso': '6240.i', 'p': 19, 'prec': 20, 'unit': 1699389533681691138178991, 'val': 1}
  • id: 243707
    {'lmfdb_iso': '6240.i', 'p': 23, 'prec': 20, 'unit': 65604303507063731721431194, 'val': 1}
  • id: 243712
    {'lmfdb_iso': '6240.i', 'p': 31, 'prec': 20, 'unit': 5093819716834519469602840880, 'val': 1}
  • id: 243697
    {'lmfdb_iso': '6240.i', 'p': 37, 'prec': 20, 'unit': 558171345635750802719312982137, 'val': 1}
  • id: 243699
    {'lmfdb_iso': '6240.i', 'p': 41, 'prec': 20, 'unit': 162737387119984313190298562464, 'val': 1}
  • id: 243700
    {'lmfdb_iso': '6240.i', 'p': 43, 'prec': 20, 'unit': 10682481136701371018837575314, 'val': 2}
  • id: 243705
    {'lmfdb_iso': '6240.i', 'p': 53, 'prec': 20, 'unit': 41987818855342387183572271028952, 'val': 1}
  • id: 243710
    {'lmfdb_iso': '6240.i', 'p': 59, 'prec': 20, 'unit': 2272700376994126754824810985905190, 'val': 1}
  • id: 243711
    {'lmfdb_iso': '6240.i', 'p': 61, 'prec': 20, 'unit': 4850211715542163423316437672080467, 'val': 1}
  • id: 243696
    {'lmfdb_iso': '6240.i', 'p': 67, 'prec': 20, 'unit': 27715784964216758731681716590849459, 'val': 1}
  • id: 243709
    {'lmfdb_iso': '6240.i', 'p': 71, 'prec': 20, 'unit': 17449121304156750899191801298731745, 'val': 1}
  • id: 243706
    {'lmfdb_iso': '6240.i', 'p': 73, 'prec': 20, 'unit': 191794949929338098198271000072521999, 'val': 1}
  • id: 243701
    {'lmfdb_iso': '6240.i', 'p': 79, 'prec': 20, 'unit': 508567446035217372812386794981606072, 'val': 1}
  • id: 243708
    {'lmfdb_iso': '6240.i', 'p': 89, 'prec': 20, 'unit': 6372735184862092421754126339846460269, 'val': 1}
  • id: 243695
    {'lmfdb_iso': '6240.i', 'p': 97, 'prec': 20, 'unit': 8306360595732539516737567659580050689, 'val': 1}