Elliptic curve data - 14400.bb1

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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': '14400k', 'Clabel': '14400k4', 'Cnumber': 4, 'abc_quality': 1.0515389861488595, 'absD': 16124313600000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120, 'ainvs': [0, 0, 0, -1838700, -959634000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 14400, 'degree': 221184, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2219577409616679455455393722', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [8527173507, 200], 'lmfdb_iso': '14400.bb', 'lmfdb_label': '14400.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1149, -14707], 'min_quad_twist_disc': 40, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.6', '24.48.0-24.ca.1.10', '40.6.0.e.1', '60.48.0-60.t.1.8', '120.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.6737701189015255700667427181', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 2, 1600], [5, 18, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44644120259638247442712240429', 'prec': 107}, 'szpiro_ratio': 5.732366138270774, '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, 0, 0, 0, 0, -2, 0, 0, 0, -6, 0, -4, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, 0, -2, -6, -4, 6, 4, 0, 6, -4, 8, 0, 8, 0, -6, -6, -2, -4, -12, 10, -4, 12, 12, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 14400, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '14400.bb', 'trace_hash': 1339065332507501823}
• 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': '0.011749842039568215406174552197', 'prec': 107}, 'conductor': 14400, 'gens': [[17005, 1298125, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '7.6737701189015255700667427181', 'prec': 100}], 'lmfdb_label': '14400.bb1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12964997782868939737501520171', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9796165031121679634038762317554829127', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-780, 0, 1]], 'xcoord_integral_points': [-780]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [3, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '14400.bb1'}
• ec_torsion_growth •

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

  
  
  • id: 739036
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '14400.bb1', 'torsion': [2, 2]}
  • id: 739037
    {'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '14400.bb1', 'torsion': [6]}
  • id: 739038
    {'degree': 4, 'field': [6, 0, -3, 0, 1], 'lmfdb_label': '14400.bb1', 'torsion': [4]}
  • id: 739039
    {'degree': 4, 'field': [81, 0, 12, 0, 1], 'lmfdb_label': '14400.bb1', 'torsion': [2, 6]}
  • id: 739040
    {'degree': 6, 'field': [-40, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '14400.bb1', 'torsion': [6]}
  • id: 739042
    {'degree': 8, 'field': [4, -16, 14, 20, 1, -2, 5, -2, 1], 'lmfdb_label': '14400.bb1', 'torsion': [2, 4]}
  • id: 739043
    {'degree': 8, 'field': [100, 0, 10, 0, 9, 0, 4, 0, 1], 'lmfdb_label': '14400.bb1', 'torsion': [12]}
  • id: 739041
    {'degree': 8, 'field': [400, 0, -800, 0, -144, 0, -8, 0, 1], 'lmfdb_label': '14400.bb1', 'torsion': [2, 4]}
  • id: 739044
    {'degree': 12, 'field': [1521, 234, 621, -1650, 690, 114, 61, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '14400.bb1', 'torsion': [3, 6]}
  • id: 739045
    {'degree': 12, 'field': [3481, 0, -7104, 0, 3960, 0, -1280, 0, 240, 0, -24, 0, 1], 'lmfdb_label': '14400.bb1', 'torsion': [2, 6]}
  • id: 739048
    {'degree': 16, 'field': [1, 0, 6, 12, 34, -36, 132, -36, 63, 36, 132, 36, 34, -12, 6, 0, 1], 'lmfdb_label': '14400.bb1', 'torsion': [2, 12]}
  • id: 739047
    {'degree': 16, 'field': [1, 0, 8, 0, 40, 0, 104, 0, 3058, 0, 104, 0, 40, 0, 8, 0, 1], 'lmfdb_label': '14400.bb1', 'torsion': [2, 12]}
  • id: 739046
    {'degree': 16, 'field': [1, 0, 190, 0, 10796, 0, -1550, 0, 166, 0, 170, 0, -4, 0, -10, 0, 1], 'lmfdb_label': '14400.bb1', 'torsion': [8]}
  • id: 739049
    {'degree': 18, 'field': [1200000, 0, -720000, 0, -252000, 0, 278400, 0, -48600, 0, -9000, 0, 4830, 0, 240, 0, 0, 0, 1], 'lmfdb_label': '14400.bb1', 'torsion': [18]}
• 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: 315793
    {'conductor': 14400, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '14400.bb1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 315794
    {'conductor': 14400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '14400.bb1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 315795
    {'conductor': 14400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '14400.bb1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1759582
    {'adelic_gens': [[23, 108, 18, 47], [109, 12, 108, 13], [1, 6, 6, 37], [1, 0, 12, 1], [88, 109, 75, 32], [1, 12, 0, 1], [110, 117, 87, 8], [11, 2, 70, 111], [66, 97, 5, 26]], 'adelic_image': '120.96.1.?', 'conductor': 14400, 'lmfdb_label': '14400.bb1', 'prime': 0}
  • id: 67961
    {'conductor': 14400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '14400.bb1', 'modell_image': '2B', 'prime': 2}
  • id: 67962
    {'conductor': 14400, 'elladic_image': '3.4.0.1', 'lmfdb_label': '14400.bb1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 641929
    {'lmfdb_iso': '14400.bb', 'p': 7, 'prec': 20, 'unit': 8090599513870599, 'val': 1}
  • id: 641935
    {'lmfdb_iso': '14400.bb', 'p': 11, 'prec': 20, 'unit': 24152983263157409407, 'val': 1}
  • id: 641933
    {'lmfdb_iso': '14400.bb', 'p': 13, 'prec': 20, 'unit': 122242873136525586148, 'val': 1}
  • id: 641936
    {'lmfdb_iso': '14400.bb', 'p': 17, 'prec': 20, 'unit': 138593259928930891280627, 'val': 1}
  • id: 641937
    {'lmfdb_iso': '14400.bb', 'p': 19, 'prec': 20, 'unit': 25904845712224979578568, 'val': 2}
  • id: 641932
    {'lmfdb_iso': '14400.bb', 'p': 29, 'prec': 20, 'unit': 5728210333655597269213202347, 'val': 1}
  • id: 641943
    {'lmfdb_iso': '14400.bb', 'p': 31, 'prec': 20, 'unit': 7906454809742779325350362970, 'val': 1}
  • id: 641928
    {'lmfdb_iso': '14400.bb', 'p': 37, 'prec': 20, 'unit': 336202044811022628839818282737, 'val': 1}
  • id: 641931
    {'lmfdb_iso': '14400.bb', 'p': 43, 'prec': 20, 'unit': 825478165433083085619210459561, 'val': 1}
  • id: 641938
    {'lmfdb_iso': '14400.bb', 'p': 53, 'prec': 20, 'unit': 481266272848789380255449296073980, 'val': 1}
  • id: 641941
    {'lmfdb_iso': '14400.bb', 'p': 59, 'prec': 20, 'unit': 3055951800369739046831612139600129, 'val': 1}
  • id: 641942
    {'lmfdb_iso': '14400.bb', 'p': 61, 'prec': 20, 'unit': 6982266720237722374868489889338670, 'val': 1}
  • id: 641927
    {'lmfdb_iso': '14400.bb', 'p': 67, 'prec': 20, 'unit': 36988933355470471571414095244645468, 'val': 1}
  • id: 641940
    {'lmfdb_iso': '14400.bb', 'p': 71, 'prec': 20, 'unit': 11880285788690273009657996722265137, 'val': 1}
  • id: 641930
    {'lmfdb_iso': '14400.bb', 'p': 73, 'prec': 20, 'unit': 95371954240916457249797328285268614, 'val': 1}
  • id: 641934
    {'lmfdb_iso': '14400.bb', 'p': 79, 'prec': 20, 'unit': 770208366254297704282335147243298415, 'val': 1}
  • id: 641926
    {'lmfdb_iso': '14400.bb', 'p': 83, 'prec': 20, 'unit': 2638014612899568997951575873171370380, 'val': 1}
  • id: 641939
    {'lmfdb_iso': '14400.bb', 'p': 89, 'prec': 20, 'unit': 9153783515999829881422712850890771837, 'val': 1}
  • id: 641925
    {'lmfdb_iso': '14400.bb', 'p': 97, 'prec': 20, 'unit': 17444314963926481801287101408868832287, 'val': 1}