Elliptic curve data - 62400.bp1

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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': '62400l', 'Clabel': '62400l2', 'Cnumber': 2, 'abc_quality': 0.997177538945588, 'absD': 276349320000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -1059033, -418365063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 62400, 'degree': 884736, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2317848784460598217990574033', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2], 'jinv': [2052450196928704, 4317958125], 'lmfdb_iso': '62400.bp', 'lmfdb_label': '62400.bp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -10590, -415188], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '26.6.0.b.1', '52.12.0.e.1', '104.24.0.?', '120.12.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.756502724500389936050978638', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 325], [3, 4, 20800], [5, 18, 2496], [13, 14, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73391874166906432508144561523', 'prec': 103}, 'szpiro_ratio': 4.821180951284504, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, -2, 0, 1, 0, -2, 0, -1, 0, 0, 0, 2, 0, -2, 0], 'aplist': [0, -1, 0, -2, -2, -1, 2, -2, 8, 6, -2, 2, -2, 0, -6, -10, 14, 10, 2, -6, -2, -12, 6, -18, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 62400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '62400.bp', 'trace_hash': 1218434055533530879}
• 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': '0.011521162044397453688041608934', 'prec': 107}, 'conductor': 62400, 'gens': [[-11508061, 771827336, 137]], 'heights': [{'__RealLiteral__': 0, 'data': '14.756502724500389936050978638', 'prec': 100}], 'lmfdb_label': '62400.bp1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14884252903541397148098709358', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3927903704652293324250821777780549244', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-573, 0, 1]], 'xcoord_integral_points': [-573]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [5, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '62400.bp1'}
• ec_torsion_growth •

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

  
  
  • id: 2985356
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '62400.bp1', 'torsion': [2, 2]}
  • id: 2985357
    {'degree': 4, 'field': [325, 0, -20, 0, 1], 'lmfdb_label': '62400.bp1', 'torsion': [4]}
  • id: 2985360
    {'degree': 8, 'field': [-367500, 0, -53000, 0, -2100, 0, 0, 0, 1], 'lmfdb_label': '62400.bp1', 'torsion': [6]}
  • id: 2985359
    {'degree': 8, 'field': [9, 0, -46, 0, -5, 0, -28, 0, 1], 'lmfdb_label': '62400.bp1', 'torsion': [2, 4]}
  • id: 2985358
    {'degree': 8, 'field': [625, 0, 0, 0, 275, 0, 0, 0, 1], 'lmfdb_label': '62400.bp1', 'torsion': [2, 4]}
  • id: 2985361
    {'degree': 16, 'field': [4761, 0, 9400, 0, -17042, 0, 3224, 0, 12863, 0, 5096, 0, 1082, 0, 64, 0, 1], 'lmfdb_label': '62400.bp1', 'torsion': [4, 4]}
  • id: 2985362
    {'degree': 16, 'field': [438696, -98496, 248400, -217296, -82116, 177336, 52260, -149448, 112153, -61616, 24784, -7712, 2074, -392, 76, -8, 1], 'lmfdb_label': '62400.bp1', 'torsion': [8]}
  • id: 2985363
    {'degree': 16, 'field': [4100625, 0, -33156000, 0, -4325850, 0, -144000, 0, -450225, 0, 3040, 0, -2250, 0, 0, 0, 1], 'lmfdb_label': '62400.bp1', 'torsion': [2, 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: 1504209
    {'conductor': 62400, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '62400.bp1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1504210
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '62400.bp1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1504211
    {'conductor': 62400, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '62400.bp1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1504212
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '62400.bp1', 'prime': 13, '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: 2077357
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1319, 930, 630, 629], [149, 930, 630, 629], [3, 8, 28, 75], [623, 0, 0, 1559], [1553, 8, 1552, 9], [5, 8, 48, 77], [521, 320, 1460, 1281], [536, 315, 725, 626]], 'adelic_image': '1560.48.0.?', 'conductor': 62400, 'lmfdb_label': '62400.bp1', 'prime': 0}
  • id: 262440
    {'conductor': 62400, 'elladic_image': '4.6.0.3', 'lmfdb_label': '62400.bp1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3173643
    {'lmfdb_iso': '62400.bp', 'p': 7, 'prec': 20, 'unit': 2692270690677597, 'val': 1}
  • id: 3173645
    {'lmfdb_iso': '62400.bp', 'p': 11, 'prec': 20, 'unit': 2051301495467787635, 'val': 1}
  • id: 3173648
    {'lmfdb_iso': '62400.bp', 'p': 17, 'prec': 20, 'unit': 133574853478556853126254, 'val': 1}
  • id: 3173639
    {'lmfdb_iso': '62400.bp', 'p': 19, 'prec': 20, 'unit': 1382796984702524975169790, 'val': 1}
  • id: 3173653
    {'lmfdb_iso': '62400.bp', 'p': 23, 'prec': 20, 'unit': 88623154152939966134850, 'val': 2}
  • id: 3173646
    {'lmfdb_iso': '62400.bp', 'p': 29, 'prec': 20, 'unit': 4119789326280197886681096222, 'val': 1}
  • id: 3173658
    {'lmfdb_iso': '62400.bp', 'p': 31, 'prec': 20, 'unit': 14785347854822698510438579045, 'val': 1}
  • id: 3173642
    {'lmfdb_iso': '62400.bp', 'p': 37, 'prec': 20, 'unit': 327678772048381029305656752900, 'val': 1}
  • id: 3173644
    {'lmfdb_iso': '62400.bp', 'p': 41, 'prec': 20, 'unit': 3863924768597603823398736746771, 'val': 1}
  • id: 3173656
    {'lmfdb_iso': '62400.bp', 'p': 47, 'prec': 20, 'unit': 37013420921965373399058393793345, 'val': 1}
  • id: 3173650
    {'lmfdb_iso': '62400.bp', 'p': 53, 'prec': 20, 'unit': 178580681042464461431517413112004, 'val': 1}
  • id: 3173651
    {'lmfdb_iso': '62400.bp', 'p': 59, 'prec': 20, 'unit': 3926284305280779812011912687033682, 'val': 1}
  • id: 3173657
    {'lmfdb_iso': '62400.bp', 'p': 61, 'prec': 20, 'unit': 677113190642377090991960899803534, 'val': 1}
  • id: 3173641
    {'lmfdb_iso': '62400.bp', 'p': 67, 'prec': 20, 'unit': 37650376823340432914380198859338713, 'val': 1}
  • id: 3173655
    {'lmfdb_iso': '62400.bp', 'p': 71, 'prec': 20, 'unit': 139867151522061820656608256694910925, 'val': 1}
  • id: 3173652
    {'lmfdb_iso': '62400.bp', 'p': 73, 'prec': 20, 'unit': 181180392613840567034778859275304985, 'val': 1}
  • id: 3173647
    {'lmfdb_iso': '62400.bp', 'p': 79, 'prec': 20, 'unit': 28328733065724165457619234022914843, 'val': 1}
  • id: 3173649
    {'lmfdb_iso': '62400.bp', 'p': 83, 'prec': 20, 'unit': 1623654184091310600341913794863936340, 'val': 1}
  • id: 3173654
    {'lmfdb_iso': '62400.bp', 'p': 89, 'prec': 20, 'unit': 6067818564972712791235127504311084059, 'val': 1}
  • id: 3173640
    {'lmfdb_iso': '62400.bp', 'p': 97, 'prec': 20, 'unit': 9838429731018624292247059235421341436, 'val': 1}