Elliptic curve data - 28880.d2

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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': '28880z', 'Clabel': '28880z1', 'Cnumber': 1, 'abc_quality': 1.0971301980473245, 'absD': 184832000, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 3420, 'ainvs': [0, 1, 0, -1621, 24579], 'analytic_rank': 1, 'bad_primes': [2, 5, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 28880, 'degree': 18144, 'elladic_images': ['9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.55092138330035316054888747108', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [318767104, 125], 'lmfdb_iso': '28880.d', 'lmfdb_label': '28880.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -101, -359], 'min_quad_twist_disc': -4, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.b.1', '10.2.0.a.1', '30.8.0.a.1', '90.24.0.?', '171.36.0.?', '228.8.0.?', '684.72.0.?', '1140.16.0.?', '1710.72.2.?', '3420.144.2.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1148049453252039359652569528', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63296562712066555886984922236', 'prec': 107}, 'szpiro_ratio': 3.289546225622807, '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, -2, 0, -1, 0, 4, 0, 1, 0, -3, 0, -2, 0, 2, 0, 6, 0, 0, 0], 'aplist': [0, -2, -1, 4, -3, -2, 6, 0, 0, 3, -7, -8, 6, 4, -6, 6, -15, 5, 2, -3, 8, 5, -12, 15, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 28880, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '28880.d', 'trace_hash': 840137404152154548}
• 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': '0.33225824481563451101753603196', 'prec': 103}, 'conductor': 28880, 'gens': [[22, 7, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1148049453252039359652569528', 'prec': 100}], 'lmfdb_label': '28880.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.7664203542191671162023642231', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7356345006257930828873660067730753480', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': [22]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '28880.d2'}
• ec_torsion_growth •

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

  
  
  • id: 1448648
    {'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '28880.d2', 'torsion': [3]}
  • id: 1448649
    {'degree': 3, 'field': [45, -25, -1, 1], 'lmfdb_label': '28880.d2', 'torsion': [2]}
  • id: 1448650
    {'degree': 6, 'field': [-369, -183, 158, 49, -22, -3, 1], 'lmfdb_label': '28880.d2', 'torsion': [2, 2]}
  • id: 1448652
    {'degree': 6, 'field': [30, -160, -16, 102, -30, -2, 1], 'lmfdb_label': '28880.d2', 'torsion': [6]}
  • id: 1448651
    {'degree': 6, 'field': [228, 0, 133, 0, 19, 0, 1], 'lmfdb_label': '28880.d2', 'torsion': [3]}
  • id: 1448655
    {'degree': 12, 'field': [-4591, -7326, 15653, 34624, 6058, -19774, -8803, 2174, 1488, -4, -69, -2, 1], 'lmfdb_label': '28880.d2', 'torsion': [2, 6]}
  • id: 1448654
    {'degree': 12, 'field': [324, 108, 306, -810, 375, -12, 103, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '28880.d2', 'torsion': [3, 3]}
  • id: 1448653
    {'degree': 12, 'field': [13345, -5040, -64292, -51974, -9941, -1372, 1264, 508, -239, 32, 16, -6, 1], 'lmfdb_label': '28880.d2', 'torsion': [4]}
  • id: 1448656
    {'degree': 18, 'field': [-6859, 0, 27436, 0, -41154, 0, 34295, 0, -16967, 0, 5415, 0, -1083, 0, 152, 0, -19, 0, 1], 'lmfdb_label': '28880.d2', 'torsion': [9]}
  • id: 1448657
    {'degree': 18, 'field': [1301682, -6173100, 6796528, 4160070, -4570488, -1886586, 817185, 560880, 75126, -62940, -9101, 7182, 4008, 570, -57, -60, 0, 0, 1], 'lmfdb_label': '28880.d2', '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: 671375
    {'conductor': 28880, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '28880.d2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 671376
    {'conductor': 28880, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '28880.d2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 671377
    {'conductor': 28880, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '28880.d2', 'prime': 19, 'reduction_type': 0, '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: 1857205
    {'adelic_gens': [[1, 18, 0, 1], [1, 18, 12, 217], [10, 9, 81, 73], [1, 0, 18, 1], [3409, 3402, 1872, 2735], [3403, 18, 3402, 19], [3410, 3411, 2403, 1718], [3407, 3408, 1774, 1769], [1709, 0, 0, 3419], [1727, 3402, 1728, 3401], [1181, 18, 18, 1445], [13, 12, 3356, 3361]], 'adelic_image': '3420.144.2.?', 'conductor': 28880, 'lmfdb_label': '28880.d2', 'prime': 0}
  • id: 130636
    {'conductor': 28880, 'elladic_image': '9.12.0.2', 'lmfdb_label': '28880.d2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1392972
    {'lmfdb_iso': '28880.d', 'p': 7, 'prec': 20, 'unit': 7783138983629035, 'val': 1}
  • id: 1392970
    {'lmfdb_iso': '28880.d', 'p': 11, 'prec': 20, 'unit': 29180216967492516130, 'val': 1}
  • id: 1392976
    {'lmfdb_iso': '28880.d', 'p': 13, 'prec': 20, 'unit': 1371156288514915343975, 'val': 1}
  • id: 1392978
    {'lmfdb_iso': '28880.d', 'p': 17, 'prec': 20, 'unit': 16157053997272337400042, 'val': 1}
  • id: 1392975
    {'lmfdb_iso': '28880.d', 'p': 29, 'prec': 20, 'unit': 3078810421550590056490027898, 'val': 1}
  • id: 1392987
    {'lmfdb_iso': '28880.d', 'p': 31, 'prec': 20, 'unit': 15052900588819981506992714505, 'val': 1}
  • id: 1392971
    {'lmfdb_iso': '28880.d', 'p': 37, 'prec': 20, 'unit': 308508736400047148283785207635, 'val': 1}
  • id: 1392973
    {'lmfdb_iso': '28880.d', 'p': 41, 'prec': 20, 'unit': 154199857295166919574187040895, 'val': 1}
  • id: 1392974
    {'lmfdb_iso': '28880.d', 'p': 43, 'prec': 20, 'unit': 5601992164866099868886665064335, 'val': 1}
  • id: 1392985
    {'lmfdb_iso': '28880.d', 'p': 47, 'prec': 20, 'unit': 13665633348759670169033525977061, 'val': 1}
  • id: 1392980
    {'lmfdb_iso': '28880.d', 'p': 53, 'prec': 20, 'unit': 507405455057882807228478697161229, 'val': 1}
  • id: 1392981
    {'lmfdb_iso': '28880.d', 'p': 59, 'prec': 20, 'unit': 3239961989022156773728672803489277, 'val': 1}
  • id: 1392986
    {'lmfdb_iso': '28880.d', 'p': 61, 'prec': 20, 'unit': 6854540783054735282723146329832400, 'val': 1}
  • id: 1392979
    {'lmfdb_iso': '28880.d', 'p': 67, 'prec': 20, 'unit': 48974187219457243876069786428801958, 'val': 1}
  • id: 1392984
    {'lmfdb_iso': '28880.d', 'p': 71, 'prec': 20, 'unit': 122722742200798951508415814562033482, 'val': 1}
  • id: 1392982
    {'lmfdb_iso': '28880.d', 'p': 73, 'prec': 20, 'unit': 144033726571613512292691085246915260, 'val': 1}
  • id: 1392977
    {'lmfdb_iso': '28880.d', 'p': 79, 'prec': 20, 'unit': 190834470807421244273058742223441747, 'val': 1}
  • id: 1392969
    {'lmfdb_iso': '28880.d', 'p': 83, 'prec': 20, 'unit': 355728631761028523279737182731385065, 'val': 1}
  • id: 1392983
    {'lmfdb_iso': '28880.d', 'p': 89, 'prec': 20, 'unit': 6089750731746791151549028002668200897, 'val': 1}
  • id: 1392968
    {'lmfdb_iso': '28880.d', 'p': 97, 'prec': 20, 'unit': 30785202457211697128729165849871777070, 'val': 1}