Elliptic curve data - 78400.eh4

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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': '78400bp', 'Clabel': '78400bp2', 'Cnumber': 2, 'abc_quality': 1.0629647337743247, 'absD': 25264930370355200, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, -1, 0, 68927, 3134657], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 15, 'class_size': 4, 'cm': 0, 'conductor': 78400, 'degree': 414720, 'elladic_images': ['8.2.0.1', '3.4.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8358823935577479296223217924', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 111, 'isogeny_degrees': [1, 3, 5, 15], 'jinv': [46969655, 32768], 'lmfdb_iso': '78400.eh', 'lmfdb_label': '78400.eh4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 22, -9], 'min_quad_twist_disc': -56, 'modell_images': ['3B', '5B.4.1'], 'modm_images': ['3.4.0.a.1', '5.12.0.a.1', '8.2.0.a.1', '15.96.1.a.3', '24.8.0.a.1', '40.24.1.bx.1', '120.192.9.?', '140.24.0.?', '280.48.1.?', '420.192.1.?', '840.384.9.?'], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44503310388217674948966265038', 'prec': 107}, 'szpiro_ratio': 3.9962448870150538, '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, 0, 0, 0, 0, -2, 0, 3, 0, 4, 0, 0, 0, -3, 0, 5, 0], 'aplist': [0, -1, 0, 0, 3, 4, -3, 5, -6, 0, -2, 2, 3, -4, 12, 6, 0, 2, -13, 12, 11, -10, 9, -15, 2], 'class_deg': 15, 'class_size': 4, 'conductor': 78400, 'isogeny_matrix': [[1, 3, 15, 5], [3, 1, 5, 15], [15, 5, 1, 3], [5, 15, 3, 1]], 'lmfdb_iso': '78400.eh', 'trace_hash': 490718752498148200}
• 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': '0.025431549050339079918835313652', 'prec': 107}, 'conductor': 78400, 'gens': [], 'heights': [], 'lmfdb_label': '78400.eh4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.23868317774824599320450503594', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9094654219859679456360402875520582117', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '78400.eh4'}
• ec_torsion_growth •

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

  
  
  • id: 3700143
    {'degree': 2, 'field': [-210, 0, 1], 'lmfdb_label': '78400.eh4', 'torsion': [3]}
  • id: 3700144
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '78400.eh4', 'torsion': [5]}
  • id: 3700145
    {'degree': 3, 'field': [2, 2, -1, 1], 'lmfdb_label': '78400.eh4', 'torsion': [2]}
  • id: 3700146
    {'degree': 4, 'field': [114, -36, 37, -2, 1], 'lmfdb_label': '78400.eh4', 'torsion': [15]}
  • id: 3700149
    {'degree': 6, 'field': [-22601, 998, 2705, 0, -105, -2, 1], 'lmfdb_label': '78400.eh4', 'torsion': [6]}
  • id: 3700147
    {'degree': 6, 'field': [2, 0, -3, 0, 4, 0, 1], 'lmfdb_label': '78400.eh4', 'torsion': [2, 2]}
  • id: 3700150
    {'degree': 6, 'field': [905, -290, -95, 56, -7, -2, 1], 'lmfdb_label': '78400.eh4', 'torsion': [10]}
  • id: 3700148
    {'degree': 6, 'field': [13720, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '78400.eh4', 'torsion': [3]}
  • id: 3700154
    {'degree': 12, 'field': [196, 0, 1288, 0, 716, 0, 1092, 0, 281, 0, 28, 0, 1], 'lmfdb_label': '78400.eh4', 'torsion': [2, 10]}
  • id: 3700151
    {'degree': 12, 'field': [6364, -49634, 61188, -60875, 30425, -14564, 6964, -1608, 820, -110, 48, -3, 1], 'lmfdb_label': '78400.eh4', 'torsion': [4]}
  • id: 3700156
    {'degree': 12, 'field': [112240, 89280, -63470, -57520, 43340, -17000, 4781, 874, -355, 80, -5, -6, 1], 'lmfdb_label': '78400.eh4', 'torsion': [30]}
  • id: 3700155
    {'degree': 12, 'field': [7557001, 0, 3197544, 0, 578340, 0, 54870, 0, 2940, 0, 84, 0, 1], 'lmfdb_label': '78400.eh4', 'torsion': [15]}
  • id: 3700153
    {'degree': 12, 'field': [110208004, 0, 17240048, 0, 519900, 0, 37860, 0, 785, 0, -2, 0, 1], 'lmfdb_label': '78400.eh4', 'torsion': [2, 6]}
  • id: 3700152
    {'degree': 12, 'field': [188265841, -82326, -205779, 548750, -205710, -82446, 27581, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '78400.eh4', 'torsion': [3, 3]}
  • id: 3700157
    {'degree': 18, 'field': [-250104527774, 169221445248, 437639793060, -11296304916, -128502359760, -979915152, 15784714109, 271639800, -1104202338, -16741120, 48426255, 329940, -1344740, -600, 23235, -16, -228, 0, 1], 'lmfdb_label': '78400.eh4', 'torsion': [9]}
  • id: 3700158
    {'degree': 18, 'field': [776151559, 0, 0, -168213162, 0, 0, 15441845, 0, 0, -516880, 0, 0, 5155, 0, 0, -2, 0, 0, 1], 'lmfdb_label': '78400.eh4', 'torsion': [6]}
  • id: 3700159
    {'degree': 20, 'field': [23140372398080, 0, -2066104678400, 0, -258263084800, 0, 31624051200, 0, 376476800, 0, -145212480, 0, 5186160, 0, -82320, 0, 2940, 0, -70, 0, 1], 'lmfdb_label': '78400.eh4', 'torsion': [5]}
• 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: 1908009
    {'conductor': 78400, 'conductor_valuation': 6, 'discriminant_valuation': 33, 'j_denominator_valuation': 15, 'kodaira_symbol': -27, 'lmfdb_label': '78400.eh4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1908010
    {'conductor': 78400, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '78400.eh4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1908011
    {'conductor': 78400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '78400.eh4', 'prime': 7, '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: 2181659
    {'adelic_gens': [[631, 210, 735, 211], [721, 120, 720, 721], [281, 210, 280, 1], [1, 672, 0, 1], [1, 0, 120, 1], [599, 0, 0, 839], [281, 560, 280, 561], [419, 630, 315, 629], [1, 0, 630, 1], [561, 770, 280, 337], [1, 756, 420, 1], [526, 105, 525, 1], [1, 0, 420, 1], [1, 42, 210, 421]], 'adelic_image': '840.384.9.?', 'conductor': 78400, 'lmfdb_label': '78400.eh4', 'prime': 0}
  • id: 323203
    {'conductor': 78400, 'elladic_image': '8.2.0.1', 'lmfdb_label': '78400.eh4', 'modell_image': '2G', 'prime': 2}
  • id: 323204
    {'conductor': 78400, 'elladic_image': '3.4.0.1', 'lmfdb_label': '78400.eh4', 'modell_image': '3B', 'prime': 3}
  • id: 323205
    {'conductor': 78400, 'elladic_image': '5.12.0.1', 'lmfdb_label': '78400.eh4', 'modell_image': '5B.4.1', 'prime': 5}
• lmfdb_iso 78400.eh does not appear in ec_padic