Elliptic curve data - 2394.h3

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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': '2394k', 'Clabel': '2394k1', 'Cnumber': 1, 'abc_quality': 0.9136325031445056, 'absD': 8339853312, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [1, -1, 1, -716, 6095], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2394, 'degree': 1536, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.61903373749438843808351348216', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [55611739513, 11440128], 'lmfdb_iso': '2394.h', 'lmfdb_label': '2394.h3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -80, -226], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.y.1.4', '114.6.0.?', '152.24.0.?', '228.24.0.?', '456.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 19, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.54858881976840454180954757337', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.069727593160333592385890863699', 'prec': 107}, 'szpiro_ratio': 4.027047666771874, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, 0, 1, -2, 0, -1, 1, 0, -2, 0, 0, 2, -1, 0, 1, -2, 0, -1, -2], 'aplist': [1, 0, -2, -1, 0, 2, -2, -1, -8, -2, 4, 2, -6, -12, 8, -10, 4, -10, 4, -8, 10, -4, 0, -6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 2394, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '2394.h', 'trace_hash': 412399085643671991}
• 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': '0.28994400090114240163938595891', 'prec': 103}, 'conductor': 2394, 'gens': [[3, 61, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.54858881976840454180954757337', 'prec': 103}], 'lmfdb_label': '2394.h3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.2385611064246797576612071923', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0767646535073861611637011650957582359', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[45, 229, 1]], 'xcoord_integral_points': [-27, -11, 3, 9, 21, 25, 45, 165, 171, 511605]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': [3, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2394.h3'}
• ec_torsion_growth •

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

  
  
  • id: 122395
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '2394.h3', 'torsion': [2, 4]}
  • id: 122396
    {'degree': 4, 'field': [142, -8, -33, -2, 1], 'lmfdb_label': '2394.h3', 'torsion': [8]}
  • id: 122400
    {'degree': 8, 'field': [-12, 0, 2055, 0, 423, 0, 29, 0, 1], 'lmfdb_label': '2394.h3', 'torsion': [12]}
  • id: 122398
    {'degree': 8, 'field': [232, -712, -181, 1094, 595, -44, -55, -2, 1], 'lmfdb_label': '2394.h3', 'torsion': [2, 8]}
  • id: 122399
    {'degree': 8, 'field': [2152, 792, -662, -248, 95, 32, -6, -4, 1], 'lmfdb_label': '2394.h3', 'torsion': [2, 8]}
  • id: 122397
    {'degree': 8, 'field': [2172676, 860816, 170528, 11708, -2723, -614, 2, -2, 1], 'lmfdb_label': '2394.h3', 'torsion': [4, 4]}
  • id: 122402
    {'degree': 16, 'field': [589824, 0, 2931456, 0, -1020416, 0, 366432, 0, 7680, 0, -3817, 0, -192, 0, 0, 0, 1], 'lmfdb_label': '2394.h3', 'torsion': [2, 12]}
  • id: 122401
    {'degree': 16, 'field': [873804, -68450208, 141874620, 408843312, -1216638603, 671526252, 246351006, -141696852, -42646301, -917896, 656848, 70184, 4219, 188, -74, -4, 1], 'lmfdb_label': '2394.h3', 'torsion': [16]}
• 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: 40734
    {'conductor': 2394, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '2394.h3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 40735
    {'conductor': 2394, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '2394.h3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 40736
    {'conductor': 2394, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2394.h3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 40737
    {'conductor': 2394, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2394.h3', 'prime': 19, '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: 1679483
    {'adelic_gens': [[7, 6, 450, 451], [388, 1, 407, 6], [1, 0, 8, 1], [296, 453, 299, 454], [449, 8, 448, 9], [289, 288, 70, 295], [179, 174, 290, 59], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '456.48.0.?', 'conductor': 2394, 'lmfdb_label': '2394.h3', 'prime': 0}
  • id: 11783
    {'conductor': 2394, 'elladic_image': '4.12.0.7', 'lmfdb_label': '2394.h3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 73137
    {'lmfdb_iso': '2394.h', 'p': 5, 'prec': 20, 'unit': 6132489352996, 'val': 1}
  • id: 73143
    {'lmfdb_iso': '2394.h', 'p': 13, 'prec': 20, 'unit': 1377261749878642629464, 'val': 1}
  • id: 73145
    {'lmfdb_iso': '2394.h', 'p': 17, 'prec': 20, 'unit': 136343252766540841134695, 'val': 1}
  • id: 73149
    {'lmfdb_iso': '2394.h', 'p': 23, 'prec': 20, 'unit': 63642165035734020850854704, 'val': 1}
  • id: 73142
    {'lmfdb_iso': '2394.h', 'p': 29, 'prec': 20, 'unit': 5131167245861673363238140487, 'val': 1}
  • id: 73139
    {'lmfdb_iso': '2394.h', 'p': 31, 'prec': 20, 'unit': 18851727850699406087619043332, 'val': 1}
  • id: 73153
    {'lmfdb_iso': '2394.h', 'p': 37, 'prec': 20, 'unit': 314068298480102813027390029327, 'val': 1}
  • id: 73140
    {'lmfdb_iso': '2394.h', 'p': 41, 'prec': 20, 'unit': 3194300793321746783319633342373, 'val': 1}
  • id: 73141
    {'lmfdb_iso': '2394.h', 'p': 43, 'prec': 20, 'unit': 4057532553915687839401370071289, 'val': 1}
  • id: 73151
    {'lmfdb_iso': '2394.h', 'p': 47, 'prec': 20, 'unit': 11742061405322508807365805075527, 'val': 1}
  • id: 73146
    {'lmfdb_iso': '2394.h', 'p': 53, 'prec': 20, 'unit': 559132929826370868969143083054204, 'val': 1}
  • id: 73147
    {'lmfdb_iso': '2394.h', 'p': 59, 'prec': 20, 'unit': 1395975924535366125750090164344167, 'val': 1}
  • id: 73152
    {'lmfdb_iso': '2394.h', 'p': 61, 'prec': 20, 'unit': 2783713987318246726222087867250128, 'val': 1}
  • id: 73136
    {'lmfdb_iso': '2394.h', 'p': 67, 'prec': 20, 'unit': 6499708691235358499967956729834951, 'val': 1}
  • id: 73138
    {'lmfdb_iso': '2394.h', 'p': 71, 'prec': 20, 'unit': 104271286550145672791311880935162918, 'val': 1}
  • id: 73148
    {'lmfdb_iso': '2394.h', 'p': 73, 'prec': 20, 'unit': 53848350915197626700015322262606184, 'val': 1}
  • id: 73144
    {'lmfdb_iso': '2394.h', 'p': 79, 'prec': 20, 'unit': 1072181691659268905776627685672141437, 'val': 1}
  • id: 73150
    {'lmfdb_iso': '2394.h', 'p': 89, 'prec': 20, 'unit': 5812553801471913504130138220643821751, 'val': 1}
  • id: 73135
    {'lmfdb_iso': '2394.h', 'p': 97, 'prec': 20, 'unit': 6346638340964786222869958586144320352, 'val': 1}