Elliptic curve data - 1210.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
  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': '1210e', 'Clabel': '1210e1', 'Cnumber': 1, 'abc_quality': 0.9706848607140809, 'absD': 468512000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 60, 'ainvs': [1, 0, 1, -608, 5806], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 1210, 'degree': 576, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.45837949287187432463713483455', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3], 'jinv': [-1693700041, 32000], 'lmfdb_iso': '1210.f', 'lmfdb_label': '1210.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -608, 5806], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '20.2.0.a.1', '60.16.0-60.a.1.8'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.68409079431762998434094253968', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 605], [3, 2, 242], [5, 6, 242], [11, 52, 10]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34091893139424919005017969144', 'prec': 107}, 'szpiro_ratio': 4.349430127752986, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, -1, 1, 1, 1, -1, -1, -1, -2, -1, 0, 1, -4, 1, 1, 1, 0, 2, -4, 1], 'aplist': [-1, 1, 1, -1, 0, -4, 0, -4, 0, -6, -10, 8, -3, -1, 9, -12, 6, 11, -1, -6, 8, 14, -12, -15, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 1210, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '1210.f', 'trace_hash': 1657557075709543380}
• 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': '0.39981274229765596988281084219', 'prec': 103}, 'conductor': 1210, 'gens': [[25, 67, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.68409079431762998434094253968', 'prec': 103}], 'lmfdb_label': '1210.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.6649220275509405198732425880', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2779156646084838664535096846329287216', 'prec': 130}, 'tamagawa_product': 18, 'torsion_generators': [[10, 22, 1]], 'xcoord_integral_points': [-23, 10, 25, 76]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [5, 0], '5': [2, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1210.f1'}
• ec_torsion_growth •

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

  
  
  • id: 59922
    {'degree': 3, 'field': [-20, 4, -1, 1], 'lmfdb_label': '1210.f1', 'torsion': [6]}
  • id: 59923
    {'degree': 6, 'field': [5, 0, 71, 0, -13, 0, 1], 'lmfdb_label': '1210.f1', 'torsion': [2, 6]}
  • id: 59924
    {'degree': 6, 'field': [75, 0, -29, 0, 1, 0, 1], 'lmfdb_label': '1210.f1', 'torsion': [3, 3]}
  • id: 59925
    {'degree': 9, 'field': [125, 0, -75, 130, -150, 135, -41, 3, -3, 1], 'lmfdb_label': '1210.f1', 'torsion': [9]}
  • id: 59926
    {'degree': 12, 'field': [2, -17, 59, -179, 251, -300, 52, 64, -2, -7, -3, -1, 1], 'lmfdb_label': '1210.f1', 'torsion': [12]}
  • id: 59927
    {'degree': 18, 'field': [1300, -3300, 7220, 3400, 2938, 4890, -4713, 3608, 671, -52, 1032, -1004, 519, -184, 96, -32, 1, -2, 1], 'lmfdb_label': '1210.f1', 'torsion': [3, 6]}
• 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: 17748
    {'conductor': 1210, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '1210.f1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 17749
    {'conductor': 1210, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1210.f1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 17750
    {'conductor': 1210, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '1210.f1', 'prime': 11, '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

  
  
  • id: 1672165
    {'adelic_gens': [[37, 6, 51, 19], [1, 0, 6, 1], [4, 3, 9, 7], [6, 1, 25, 51], [3, 4, 8, 11], [31, 6, 33, 19], [55, 6, 54, 7], [1, 6, 0, 1]], 'adelic_image': '60.16.0.?', 'conductor': 1210, 'lmfdb_label': '1210.f1', 'prime': 0}
  • id: 5782
    {'conductor': 1210, 'elladic_image': '3.8.0.1', 'lmfdb_label': '1210.f1', 'modell_image': '3B.1.1', 'prime': 3}
• ec_padic •

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

  
  
  • id: 29841
    {'lmfdb_iso': '1210.f', 'p': 7, 'prec': 20, 'unit': 6530318059428610, 'val': 1}
  • id: 29845
    {'lmfdb_iso': '1210.f', 'p': 13, 'prec': 20, 'unit': 489770101002667437961, 'val': 1}
  • id: 29848
    {'lmfdb_iso': '1210.f', 'p': 19, 'prec': 20, 'unit': 298567141458049463320208, 'val': 1}
  • id: 29844
    {'lmfdb_iso': '1210.f', 'p': 29, 'prec': 20, 'unit': 2440081623676686249729854567, 'val': 1}
  • id: 29855
    {'lmfdb_iso': '1210.f', 'p': 31, 'prec': 20, 'unit': 4054706195158693935783045068, 'val': 1}
  • id: 29840
    {'lmfdb_iso': '1210.f', 'p': 37, 'prec': 20, 'unit': 468297041896528456899809548821, 'val': 1}
  • id: 29842
    {'lmfdb_iso': '1210.f', 'p': 41, 'prec': 20, 'unit': 607696028368831727861832982864, 'val': 1}
  • id: 29843
    {'lmfdb_iso': '1210.f', 'p': 43, 'prec': 20, 'unit': 4104331779654317738594092363568, 'val': 1}
  • id: 29853
    {'lmfdb_iso': '1210.f', 'p': 47, 'prec': 20, 'unit': 55432050368038618584259563953429, 'val': 1}
  • id: 29849
    {'lmfdb_iso': '1210.f', 'p': 53, 'prec': 20, 'unit': 380504887833012030201194272499112, 'val': 1}
  • id: 29847
    {'lmfdb_iso': '1210.f', 'p': 59, 'prec': 20, 'unit': 679319926542784947799733304712836, 'val': 1}
  • id: 29854
    {'lmfdb_iso': '1210.f', 'p': 61, 'prec': 20, 'unit': 113175678584447493991828402153088, 'val': 2}
  • id: 29839
    {'lmfdb_iso': '1210.f', 'p': 67, 'prec': 20, 'unit': 22668256674863248389823740729395755, 'val': 1}
  • id: 29852
    {'lmfdb_iso': '1210.f', 'p': 71, 'prec': 20, 'unit': 80478478909464807401924444270945230, 'val': 1}
  • id: 29850
    {'lmfdb_iso': '1210.f', 'p': 73, 'prec': 20, 'unit': 179153482596669527142813544674925627, 'val': 1}
  • id: 29846
    {'lmfdb_iso': '1210.f', 'p': 79, 'prec': 20, 'unit': 498355763226388884823780471552949582, 'val': 1}
  • id: 29838
    {'lmfdb_iso': '1210.f', 'p': 83, 'prec': 20, 'unit': 255981101925599620350115418335574396, 'val': 1}
  • id: 29851
    {'lmfdb_iso': '1210.f', 'p': 89, 'prec': 20, 'unit': 4408563674304193170055978695799618482, 'val': 1}
  • id: 29837
    {'lmfdb_iso': '1210.f', 'p': 97, 'prec': 20, 'unit': 20312810132702593067628701717780017642, 'val': 1}