Elliptic curve data - 230640.db3

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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': '230640db', 'Clabel': '230640db2', 'Cnumber': 2, 'abc_quality': 0.952740407578085, 'absD': 1768554855237657600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1240, 'ainvs': [0, 1, 0, -423160, 84308708], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 230640, 'degree': 2949120, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2160313285417616183715895399', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 79, 'isogeny_degrees': [1, 2], 'jinv': [9220796644, 1946025], 'lmfdb_iso': '230640.db', 'lmfdb_label': '230640.db3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -440, 2688], 'min_quad_twist_disc': 124, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '40.24.0-40.a.1.6', '124.24.0.?', '1240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 961], [3, 4, 76880], [5, 6, 46128], [31, 512, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.078584924167432595774019390250', 'prec': 110}, 'szpiro_ratio': 4.087918290801706, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, -6, 0, -4, 0], 'aplist': [0, 1, 1, 0, 0, 2, -6, -4, 4, -2, 0, 2, -6, -4, 0, 10, -12, -10, -4, 0, -14, -8, 12, -10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 230640, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '230640.db', 'trace_hash': 1483810997961004850}
• 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': '0.011889939494273479683267820575', 'prec': 107}, 'conductor': 230640, 'gens': [], 'heights': [], 'lmfdb_label': '230640.db3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.25034373454331478818394934878', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0027498763465183054715947901996104297', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[227, 0, 1], [506, 0, 1]], 'xcoord_integral_points': [-734, 227, 506]}
• lmfdb_label 230640.db3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9999154
    {'degree': 2, 'field': [8, -1, 1], 'lmfdb_label': '230640.db3', 'torsion': [2, 4]}
  • id: 9999155
    {'degree': 4, 'field': [441, 0, -82, 0, 1], 'lmfdb_label': '230640.db3', 'torsion': [2, 4]}
  • id: 9999156
    {'degree': 4, 'field': [24025, 0, 0, 0, 1], 'lmfdb_label': '230640.db3', 'torsion': [2, 4]}
  • id: 9999159
    {'degree': 8, 'field': [-233523, 0, -24552, 0, 1674, 0, 0, 0, 1], 'lmfdb_label': '230640.db3', 'torsion': [2, 6]}
  • id: 9999157
    {'degree': 8, 'field': [7146, 252, 182, -900, 531, -100, 38, -4, 1], 'lmfdb_label': '230640.db3', 'torsion': [4, 4]}
  • id: 9999158
    {'degree': 8, 'field': [10000, 0, 2200, 0, 600, 0, 22, 0, 1], 'lmfdb_label': '230640.db3', 'torsion': [2, 8]}
  • id: 9999160
    {'degree': 16, 'field': [-366690375, 256113000, 358790700, -307358400, -86163710, 88408120, 8699120, -8505480, -424709, 148472, -23552, 4664, 1690, 144, -52, -8, 1], 'lmfdb_label': '230640.db3', 'torsion': [2, 8]}
  • id: 9999161
    {'degree': 16, 'field': [1030225, -5805800, 16359200, -16455000, 7361820, 3336280, -4290080, 2393320, 77206, -663864, 346848, -113800, 18236, 200, 32, -8, 1], 'lmfdb_label': '230640.db3', 'torsion': [2, 8]}
  • id: 9999162
    {'degree': 16, 'field': [99560620, -28069480, 94164240, -10989044, 24779408, 3645780, 726970, -1367614, 828405, -302302, 92224, -21486, 4454, -266, -6, -4, 1], 'lmfdb_label': '230640.db3', 'torsion': [2, 12]}
• 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: 5719189
    {'conductor': 230640, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '230640.db3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 5719190
    {'conductor': 230640, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '230640.db3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5719191
    {'conductor': 230640, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '230640.db3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5719192
    {'conductor': 230640, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '230640.db3', 'prime': 31, '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: 3133872
    {'adelic_gens': [[1, 0, 4, 1], [679, 1238, 0, 1239], [1, 4, 0, 1], [623, 2, 1238, 1239], [251, 2, 246, 1239], [307, 1238, 8, 5], [1237, 4, 1236, 5]], 'adelic_image': '1240.48.0.?', 'conductor': 230640, 'lmfdb_label': '230640.db3', 'prime': 0}
  • id: 840735
    {'conductor': 230640, 'elladic_image': '4.12.0.1', 'lmfdb_label': '230640.db3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 230640.db does not appear in ec_padic