Elliptic curve data - 5010.h1

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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': '5010h', 'Clabel': '5010h2', 'Cnumber': 2, 'abc_quality': 0.9971440792413382, 'absD': 108676727597808690, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 140280, 'ainvs': [1, 0, 0, -380530, -91764010], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 167], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 5010, 'degree': 65856, 'elladic_images': ['7.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0656930185297888738599412955', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'intrinsic_torsion': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 7], 'jinv': [-6093832136609347161121, 108676727597808690], 'lmfdb_iso': '5010.h', 'lmfdb_label': '5010.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -380530, -91764010], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.3'], 'modm_images': ['7.48.0-7.a.2.2', '20040.2.0.?', '140280.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 2505], [3, 4, 1670], [5, 6, 1002], [7, 2, 30], [167, 168, 30]], 'sha': 49, 'sha_primes': [7], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0656930185297888738599412955', 'prec': 100}, 'szpiro_ratio': 5.891629216610725, '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 0, 1, 1, 1, 4, 1, -1, 1], 'aplist': [1, 1, 1, 1, -2, 0, 4, -1, 3, 2, 4, 10, 7, -12, -8, -9, 4, 6, 5, -12, 11, 3, 14, 6, 0], 'class_deg': 7, 'class_size': 2, 'conductor': 5010, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '5010.h', 'trace_hash': 1530525988149755886}
• 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': '0.016060602797779791174529568637', 'prec': 107}, 'conductor': 5010, 'gens': [], 'heights': [], 'lmfdb_label': '5010.h1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.096009183650928516480054509876', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '49.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7044499988954973075226709839166394745', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '5': [1, 0], '7': [4, 1], '167': [0, 0]}, 'iwp0': 11, 'lmfdb_label': '5010.h1'}
• ec_torsion_growth •

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

  
  
  • id: 262039
    {'degree': 3, 'field': [30, -6, -1, 1], 'lmfdb_label': '5010.h1', 'torsion': [2]}
  • id: 262041
    {'degree': 6, 'field': [1, -1, 1, -1, 1, -1, 1], 'lmfdb_label': '5010.h1', 'torsion': [7]}
  • id: 262040
    {'degree': 6, 'field': [20040, 0, 361, 0, -38, 0, 1], 'lmfdb_label': '5010.h1', 'torsion': [2, 2]}
  • id: 262042
    {'degree': 7, 'field': [-720, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '5010.h1', 'torsion': [7]}
  • id: 262043
    {'degree': 8, 'field': [-2883, 0, 908, 0, -186, 0, 0, 0, 1], 'lmfdb_label': '5010.h1', 'torsion': [3]}
  • id: 262044
    {'degree': 12, 'field': [-98417520, -39661200, 39240690, -20306160, 7179642, -2460168, 294337, -32548, 5395, 976, -149, -4, 1], 'lmfdb_label': '5010.h1', 'torsion': [4]}
  • id: 262045
    {'degree': 18, 'field': [729000000, -145800000, 53460000, 8748000, -4827600, 3039120, -477144, 220536, 41292, -16812, 12090, -1602, 163, 317, -5, 17, 7, -1, 1], 'lmfdb_label': '5010.h1', 'torsion': [14]}
  • id: 262046
    {'degree': 21, 'field': [19907441280, -60906867840, 39186141120, 4102539840, 18597509280, -10704143520, 2861475120, -2671533936, 867775608, -9581544, -12561948, -3354876, 2834454, -763602, -28459, 51877, -7371, -1099, 427, -21, -7, 1], 'lmfdb_label': '5010.h1', 'torsion': [14]}
• 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: 97192
    {'conductor': 5010, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5010.h1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 97193
    {'conductor': 5010, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5010.h1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 97194
    {'conductor': 5010, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5010.h1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 97195
    {'conductor': 5010, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '5010.h1', 'prime': 167, '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

  
  
  • id: 1696715
    {'adelic_gens': [[93521, 14, 93527, 99], [8, 5, 91, 57], [70141, 14, 70147, 99], [35071, 14, 105217, 99], [1, 14, 0, 1], [140267, 14, 140266, 15], [1, 0, 14, 1], [28057, 14, 56119, 99], [84841, 14, 32767, 99], [35073, 100208, 70126, 115193]], 'adelic_image': '140280.96.2.?', 'conductor': 5010, 'lmfdb_label': '5010.h1', 'prime': 0}
  • id: 24871
    {'conductor': 5010, 'elladic_image': '7.48.0.5', 'lmfdb_label': '5010.h1', 'modell_image': '7B.1.3', 'prime': 7}
• lmfdb_iso 5010.h does not appear in ec_padic