Elliptic curve data - 28880.v1

Formats: - HTML - YAML - JSON - 2024-06-07T17:15:25.681388

• 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': '28880bf', 'Clabel': '28880bf2', 'Cnumber': 2, 'abc_quality': 0.9875888663579814, 'absD': 66086440505139200, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 456, 'ainvs': [0, 1, 0, -16057400, -24771646252], 'analytic_rank': 0, 'bad_primes': [2, 5, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 28880, 'degree': 622080, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6365053732576269387945447081', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3], 'jinv': [-2376117230685121, 342950], 'lmfdb_iso': '28880.v', 'lmfdb_label': '28880.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2780, -56650], 'min_quad_twist_disc': 76, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.7', '152.2.0.?', '228.8.0.?', '456.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.47113870311446139937279887070', 'prec': 103}, 'szpiro_ratio': 5.976946224155359, '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, 0, 1, 0, 1, 0, -2, 0, 0, 0, 1, 0, 1, 0, -3, 0, 0, 0], 'aplist': [0, 1, 1, 1, 0, 1, -3, 0, -3, 3, 2, 10, -6, -2, 0, -3, 3, 8, -7, 12, -13, 14, -6, -6, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 28880, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '28880.v', 'trace_hash': 735257198757011655}
• 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': '0.0051281477544157836949927923064', 'prec': 110}, 'conductor': 28880, 'gens': [], 'heights': [], 'lmfdb_label': '28880.v1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.037709497609073620089602087289', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7150838278533006464513502848113618579', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 1], '5': [1, 0], '7': [2, 0], '11': [0, 0, 0], '13': [2, 0], '17': [0, 0], '19': 'a', '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '28880.v1'}
• ec_torsion_growth •

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

  
  
  • id: 1448718
    {'degree': 2, 'field': [57, 0, 1], 'lmfdb_label': '28880.v1', 'torsion': [3]}
  • id: 1448719
    {'degree': 3, 'field': [-2, -2, -1, 1], 'lmfdb_label': '28880.v1', 'torsion': [2]}
  • id: 1448721
    {'degree': 6, 'field': [-6459, -2280, 1083, -40, -57, 0, 1], 'lmfdb_label': '28880.v1', 'torsion': [3]}
  • id: 1448720
    {'degree': 6, 'field': [16, 16, 34, 4, 5, -2, 1], 'lmfdb_label': '28880.v1', 'torsion': [2, 2]}
  • id: 1448722
    {'degree': 6, 'field': [178, -238, 177, -60, 26, -2, 1], 'lmfdb_label': '28880.v1', 'torsion': [6]}
  • id: 1448723
    {'degree': 12, 'field': [-3800, 0, 0, -1520, 276, 688, -276, 184, -61, 0, 8, -4, 1], 'lmfdb_label': '28880.v1', 'torsion': [4]}
  • id: 1448725
    {'degree': 12, 'field': [1444, 0, -760, 0, 252, 0, 36, 0, 41, 0, 4, 0, 1], 'lmfdb_label': '28880.v1', 'torsion': [2, 6]}
  • id: 1448724
    {'degree': 12, 'field': [35415696, 23803200, -143952, -626880, 954096, -17520, -135968, -120, 6816, -40, -132, 0, 1], 'lmfdb_label': '28880.v1', 'torsion': [3, 3]}
  • id: 1448727
    {'degree': 18, 'field': [-68432680, 16678200, -6691620, 15355768, 3624630, -10745250, 1110573, 1613196, 41442, -166514, 5439, -7968, 1470, 810, -69, 44, -6, -6, 1], 'lmfdb_label': '28880.v1', 'torsion': [6]}
  • id: 1448726
    {'degree': 18, 'field': [4257661437, -4961529450, 2643431850, 1893347832, -690960627, -645446802, 168286798, 141500418, 8618664, -6422802, 437199, 222042, -49241, -4992, 2985, -222, 39, 0, 1], 'lmfdb_label': '28880.v1', 'torsion': [9]}
• 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: 671405
    {'conductor': 28880, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '28880.v1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 671406
    {'conductor': 28880, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '28880.v1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 671407
    {'conductor': 28880, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '28880.v1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1857235
    {'adelic_gens': [[4, 3, 9, 7], [113, 450, 0, 455], [229, 6, 231, 19], [1, 6, 0, 1], [359, 450, 165, 437], [3, 4, 8, 11], [451, 6, 450, 7], [98, 363, 295, 235], [1, 0, 6, 1]], 'adelic_image': '456.16.0.?', 'conductor': 28880, 'lmfdb_label': '28880.v1', 'prime': 0}
  • id: 130660
    {'conductor': 28880, 'elladic_image': '3.4.0.1', 'lmfdb_label': '28880.v1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 28880.v does not appear in ec_padic