Elliptic curve data - 6253.b3

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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': '6253a', 'Clabel': '6253a1', 'Cnumber': 1, 'abc_quality': 0.8826782160855301, 'absD': 178591933, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 25974, 'ainvs': [0, 1, 1, -563, 4918], 'analytic_rank': 1, 'bad_primes': [13, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 6253, 'degree': 1440, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40594394958636203163828348939', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3, 9], 'jinv': [4096000, 37], 'lmfdb_iso': '6253.b', 'lmfdb_label': '6253.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -3, 1], 'min_quad_twist_disc': 13, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '27.36.0.a.1', '39.8.0-3.a.1.1', '74.2.0.?', '117.24.0.?', '222.8.0.?', '333.36.0.?', '351.72.0.?', '666.72.3.?', '999.324.16.?', '1998.648.43.?', '2886.16.0.?', '4329.72.0.?', '8658.144.3.?', '12987.648.16.?', '25974.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0531694966860321392779056897', 'prec': 100}, 'semistable': False, 'serre_invariants': [[13, 86, 37], [37, 38, 169]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87653072914440633638846023139', 'prec': 107}, 'szpiro_ratio': 3.502558044052159, '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, -2, 0, 0, 1, 0, -2, 0, -3, -2, 0, 0, 0, 4, 6, 0, -2, 0], 'aplist': [0, 1, 0, 1, -3, 0, 6, -2, 6, -6, 4, -1, 9, 8, -3, -3, -12, 8, 4, 15, -11, -10, -9, -6, -8], 'class_deg': 9, 'class_size': 3, 'conductor': 6253, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '6253.b', 'trace_hash': 1591867577999885842}
• 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': '0.44401901132247615413124909215', 'prec': 103}, 'conductor': 6253, 'gens': [[-22, 84, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0531694966860321392779056897', 'prec': 100}], 'lmfdb_label': '6253.b3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.8114094235381246833187525010', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8154423017599647829079755772860297577', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-22, 68]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 7, 0], '3': [3, 0], '5': [1, 1, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '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': '6253.b3'}
• ec_torsion_growth •

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

  
  
  • id: 325548
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '6253.b3', 'torsion': [3]}
  • id: 325549
    {'degree': 3, 'field': [1, -3, -1, 1], 'lmfdb_label': '6253.b3', 'torsion': [2]}
  • id: 325552
    {'degree': 6, 'field': [-23, -136, 163, 53, -34, -1, 1], 'lmfdb_label': '6253.b3', 'torsion': [9]}
  • id: 325553
    {'degree': 6, 'field': [1, -13, 40, 11, -16, -1, 1], 'lmfdb_label': '6253.b3', 'torsion': [6]}
  • id: 325550
    {'degree': 6, 'field': [1, -5, 0, 9, -2, -3, 1], 'lmfdb_label': '6253.b3', 'torsion': [2, 2]}
  • id: 325551
    {'degree': 6, 'field': [3405, -363, -77, 102, 7, -3, 1], 'lmfdb_label': '6253.b3', 'torsion': [3]}
  • id: 325557
    {'degree': 12, 'field': [4, 0, -268, 0, 1652, 0, -1249, 0, 319, 0, -31, 0, 1], 'lmfdb_label': '6253.b3', 'torsion': [2, 6]}
  • id: 325556
    {'degree': 12, 'field': [1027, 611, -2370, -618, 2230, 150, -721, 0, 150, -2, -19, 0, 1], 'lmfdb_label': '6253.b3', 'torsion': [9]}
  • id: 325555
    {'degree': 12, 'field': [2304, 9648, 15819, 9849, -1142, -2061, 1319, -696, 117, -33, 14, -3, 1], 'lmfdb_label': '6253.b3', 'torsion': [3, 3]}
  • id: 325554
    {'degree': 12, 'field': [165454, 188884, -666636, -490588, 278144, -140940, 34920, -1552, 158, -158, 8, -6, 1], 'lmfdb_label': '6253.b3', 'torsion': [4]}
  • id: 325559
    {'degree': 18, 'field': [43, 1022, -14165, 29503, 81031, -114667, -165585, 142627, 132345, -89080, -43706, 30127, 4945, -4861, 71, 326, -33, -7, 1], 'lmfdb_label': '6253.b3', 'torsion': [18]}
  • id: 325558
    {'degree': 18, 'field': [349084486, 1228981826, 915201820, -180169729, 611416833, -150702468, 135966054, -26270703, 17346797, -2697051, 1486967, -176675, 87367, -7985, 3639, -246, 92, -3, 1], 'lmfdb_label': '6253.b3', 'torsion': [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: 124893
    {'conductor': 6253, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '6253.b3', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 124894
    {'conductor': 6253, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6253.b3', 'prime': 37, '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: 1704942
    {'adelic_gens': [[24233, 21255, 12961, 13300], [31, 36, 20152, 19213], [25921, 54, 25920, 55], [1, 54, 0, 1], [14548, 23985, 7007, 24766], [1, 0, 54, 1], [19979, 0, 0, 25973], [28, 27, 729, 703]], 'adelic_image': '25974.1296.43.?', 'conductor': 6253, 'lmfdb_label': '6253.b3', 'prime': 0}
  • id: 30681
    {'conductor': 6253, 'elladic_image': '27.36.0.1', 'lmfdb_label': '6253.b3', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 244166
    {'lmfdb_iso': '6253.b', 'p': 7, 'prec': 20, 'unit': 77813725216564600, 'val': -1}
  • id: 244171
    {'lmfdb_iso': '6253.b', 'p': 11, 'prec': 20, 'unit': 21926285192636764464, 'val': 1}
  • id: 244172
    {'lmfdb_iso': '6253.b', 'p': 17, 'prec': 20, 'unit': 156551905325087228781903, 'val': 1}
  • id: 244173
    {'lmfdb_iso': '6253.b', 'p': 19, 'prec': 20, 'unit': 1659541844218425737066561, 'val': 1}
  • id: 244177
    {'lmfdb_iso': '6253.b', 'p': 23, 'prec': 20, 'unit': 56839790480792128792469425, 'val': 1}
  • id: 244169
    {'lmfdb_iso': '6253.b', 'p': 29, 'prec': 20, 'unit': 2584180525341284393798174371, 'val': 1}
  • id: 244182
    {'lmfdb_iso': '6253.b', 'p': 31, 'prec': 20, 'unit': 4005773137382149391063555105, 'val': 1}
  • id: 244167
    {'lmfdb_iso': '6253.b', 'p': 41, 'prec': 20, 'unit': 3087171893093712466010364088443, 'val': 1}
  • id: 244168
    {'lmfdb_iso': '6253.b', 'p': 43, 'prec': 20, 'unit': 20886713315796072731270545626, 'val': 1}
  • id: 244180
    {'lmfdb_iso': '6253.b', 'p': 47, 'prec': 20, 'unit': 25798638862529818053535794687113, 'val': 1}
  • id: 244174
    {'lmfdb_iso': '6253.b', 'p': 53, 'prec': 20, 'unit': 142639802685748962139248604319601, 'val': 1}
  • id: 244175
    {'lmfdb_iso': '6253.b', 'p': 59, 'prec': 20, 'unit': 3246166969359202446207598137023024, 'val': 1}
  • id: 244181
    {'lmfdb_iso': '6253.b', 'p': 61, 'prec': 20, 'unit': 6198600168746743131745855490189148, 'val': 1}
  • id: 244165
    {'lmfdb_iso': '6253.b', 'p': 67, 'prec': 20, 'unit': 47487060484508474525043505425140153, 'val': 1}
  • id: 244179
    {'lmfdb_iso': '6253.b', 'p': 71, 'prec': 20, 'unit': 54787822402436635440809845399849273, 'val': 1}
  • id: 244176
    {'lmfdb_iso': '6253.b', 'p': 73, 'prec': 20, 'unit': 104809996170133837058720011756024884, 'val': 1}
  • id: 244170
    {'lmfdb_iso': '6253.b', 'p': 79, 'prec': 20, 'unit': 89378861827130988489165192058159642, 'val': 1}
  • id: 244164
    {'lmfdb_iso': '6253.b', 'p': 83, 'prec': 20, 'unit': 640684996555878504531584620319151549, 'val': 1}
  • id: 244178
    {'lmfdb_iso': '6253.b', 'p': 89, 'prec': 20, 'unit': 9454636706650277168140961749269732575, 'val': 1}
  • id: 244163
    {'lmfdb_iso': '6253.b', 'p': 97, 'prec': 20, 'unit': 15766423048377015167103922774249698210, 'val': 1}