Elliptic curve data - 2646.bc1

Formats: - HTML - YAML - JSON - 2024-05-01T03:30:51.504757

• 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': '2646q', 'Clabel': '2646q2', 'Cnumber': 2, 'abc_quality': 1.1519228486729203, 'absD': 11206773144, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 24, 'ainvs': [1, -1, 1, -5081, 140753], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 2646, 'degree': 3780, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.86004399573041092590077972384', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 28, 'isogeny_degrees': [1, 3], 'jinv': [-10353819, 8], 'lmfdb_iso': '2646.bc', 'lmfdb_label': '2646.bc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -933, 11213], 'min_quad_twist_disc': 21, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '24.16.0-24.d.1.8'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.89498455725151031558414095384', 'prec': 107}, 'szpiro_ratio': 4.722175716117112, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, 1, 0, 1, 3, 0, 0, 1, 0, 3, 0, 0, -4, 0, 0, 1, 6, 0, -4, 3], 'aplist': [1, 0, 3, 0, 0, -4, 6, -4, 6, -3, 8, 8, -6, 8, 6, 9, -3, -10, -10, 6, -7, 17, -12, 6, -10], 'class_deg': 3, 'class_size': 2, 'conductor': 2646, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '2646.bc', 'trace_hash': 469827214667332134}
• 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': '0.17905039231274399240006558090', 'prec': 103}, 'conductor': 2646, 'gens': [], 'heights': [], 'lmfdb_label': '2646.bc1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.2665911767428558801088617388', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7997735302285676403265852165013014493', 'prec': 130}, 'tamagawa_product': 27, 'torsion_generators': [[37, 30, 1]], 'xcoord_integral_points': [37]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': 'a', '5': [0, 0], '7': 'a', '11': [0, 0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '2646.bc1'}
• ec_torsion_growth •

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

  
  
  • id: 136862
    {'degree': 3, 'field': [-42, -21, 0, 1], 'lmfdb_label': '2646.bc1', 'torsion': [6]}
  • id: 136863
    {'degree': 6, 'field': [6, 0, 69, 0, -12, 0, 1], 'lmfdb_label': '2646.bc1', 'torsion': [2, 6]}
  • id: 136864
    {'degree': 6, 'field': [484, -66, -57, 35, 6, -3, 1], 'lmfdb_label': '2646.bc1', 'torsion': [3, 3]}
  • id: 136865
    {'degree': 9, 'field': [6, -30, 36, -3, -24, 27, -10, 5, 0, 1], 'lmfdb_label': '2646.bc1', 'torsion': [9]}
  • id: 136866
    {'degree': 12, 'field': [244, 648, 60, -104, -501, -210, 420, 42, -132, 22, 12, -6, 1], 'lmfdb_label': '2646.bc1', 'torsion': [12]}
  • id: 136867
    {'degree': 18, 'field': [36, -108, -270, 558, 4995, -12501, 14805, -11880, 7398, -3606, 1548, -882, 714, -540, 324, -144, 45, -9, 1], 'lmfdb_label': '2646.bc1', 'torsion': [3, 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: 46159
    {'conductor': 2646, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2646.bc1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 46160
    {'conductor': 2646, 'conductor_valuation': 3, 'discriminant_valuation': 5, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '2646.bc1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
  • id: 46161
    {'conductor': 2646, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '2646.bc1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1681180
    {'adelic_gens': [[4, 3, 9, 7], [1, 6, 0, 1], [21, 22, 14, 17], [1, 0, 6, 1], [6, 1, 19, 6], [13, 6, 15, 19], [3, 4, 8, 11], [7, 6, 0, 1], [19, 6, 18, 7]], 'adelic_image': '24.16.0.?', 'conductor': 2646, 'lmfdb_label': '2646.bc1', 'prime': 0}
  • id: 13175
    {'conductor': 2646, 'elladic_image': '3.8.0.1', 'lmfdb_label': '2646.bc1', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 2646.bc does not appear in ec_padic