Elliptic curve data - 1456.d3

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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': '1456g', 'Clabel': '1456g1', 'Cnumber': 1, 'abc_quality': 0.8708284255481575, 'absD': 190840832, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 6552, 'ainvs': [0, -1, 0, 112, 448], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 1456, 'degree': 288, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.27499206510437297978617100589', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3, 9], 'jinv': [37595375, 46592], 'lmfdb_iso': '1456.d', 'lmfdb_label': '1456.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 7, -7], 'min_quad_twist_disc': -4, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '12.8.0-3.a.1.1', '36.24.0-9.a.1.2', '728.2.0.?', '819.36.0.?', '2184.16.0.?', '3276.72.0.?', '6552.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.48605266257119776014600998973', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 91], [7, 8, 208], [13, 14, 112]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41815511545557232963106111557', 'prec': 107}, 'szpiro_ratio': 3.5549799121182533, '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, 0, 0, -1, 0, -2, 0, 3, 0, 1, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, -1, 0, -1, 3, 1, 0, -2, 3, 0, -5, -7, 3, -8, 3, -12, -6, -1, -5, -12, 11, 1, -12, -18, 17], 'class_deg': 9, 'class_size': 3, 'conductor': 1456, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '1456.d', 'trace_hash': 1461279149926245527}
• 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': '0.57695896652619436022156190649', 'prec': 103}, 'conductor': 1456, 'gens': [[24, 128, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.48605266257119776014600998973', 'prec': 103}], 'lmfdb_label': '1456.d3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.2017433605235119454862410127', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3364422404388472419750212597053101877', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [2, 24]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 5, 0], '7': [1, 0], '11': [1, 0], '13': [2, 0], '17': [3, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1456.d3'}
• ec_torsion_growth •

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

  
  
  • id: 72600
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '1456.d3', 'torsion': [3]}
  • id: 72601
    {'degree': 3, 'field': [-2, 6, -1, 1], 'lmfdb_label': '1456.d3', 'torsion': [2]}
  • id: 72603
    {'degree': 6, 'field': [-300, 0, 61, 0, -1, 0, 1], 'lmfdb_label': '1456.d3', 'torsion': [3]}
  • id: 72605
    {'degree': 6, 'field': [32, -40, 25, -8, 0, 0, 1], 'lmfdb_label': '1456.d3', 'torsion': [6]}
  • id: 72602
    {'degree': 6, 'field': [728, -728, 218, 12, -11, -2, 1], 'lmfdb_label': '1456.d3', 'torsion': [2, 2]}
  • id: 72604
    {'degree': 6, 'field': [4096, 0, 1028, 0, 61, 0, 1], 'lmfdb_label': '1456.d3', 'torsion': [9]}
  • id: 72608
    {'degree': 12, 'field': [16, 0, 44, 0, 41, 0, 6, 0, -9, 0, -2, 0, 1], 'lmfdb_label': '1456.d3', 'torsion': [9]}
  • id: 72606
    {'degree': 12, 'field': [256, 800, 1280, 396, -700, 0, 384, -100, -60, 56, 0, -5, 1], 'lmfdb_label': '1456.d3', 'torsion': [4]}
  • id: 72609
    {'degree': 12, 'field': [9256, 6448, 4352, 1040, 1630, 1868, 1702, 648, 159, -36, -18, 0, 1], 'lmfdb_label': '1456.d3', 'torsion': [2, 6]}
  • id: 72607
    {'degree': 12, 'field': [90000, 0, 18300, 0, 3421, 0, -539, 0, -60, 0, 1, 0, 1], 'lmfdb_label': '1456.d3', 'torsion': [3, 3]}
  • id: 72610
    {'degree': 18, 'field': [-205623452, -94626080, 128651372, 39804760, -26773499, -4992700, 1431696, 1209808, -248607, -205498, 72981, -13228, 7973, -3494, 1053, -196, 48, -6, 1], 'lmfdb_label': '1456.d3', 'torsion': [6]}
  • id: 72611
    {'degree': 18, 'field': [262144, 0, 1458176, 0, 3239936, 0, 3249408, 0, 1168576, 0, 213936, 0, 22868, 0, 1492, 0, 57, 0, 1], 'lmfdb_label': '1456.d3', '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: 22336
    {'conductor': 1456, 'conductor_valuation': 4, 'discriminant_valuation': 21, 'j_denominator_valuation': 9, 'kodaira_symbol': -17, 'lmfdb_label': '1456.d3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 22337
    {'conductor': 1456, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1456.d3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 22338
    {'conductor': 1456, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1456.d3', 'prime': 13, 'reduction_type': 1, '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: 1673669
    {'adelic_gens': [[10, 9, 3267, 6544], [1, 18, 0, 1], [1, 18, 10, 181], [10, 9, 81, 73], [1649, 3294, 3114, 4285], [4696, 9, 4815, 76], [4913, 6534, 0, 6551], [6064, 9, 3663, 76], [1, 0, 18, 1], [6535, 18, 6534, 19]], 'adelic_image': '6552.144.3.?', 'conductor': 1456, 'lmfdb_label': '1456.d3', 'prime': 0}
  • id: 7038
    {'conductor': 1456, 'elladic_image': '9.12.0.1', 'lmfdb_label': '1456.d3', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 38194
    {'lmfdb_iso': '1456.d', 'p': 11, 'prec': 20, 'unit': 58482168879879360046, 'val': 1}
  • id: 38196
    {'lmfdb_iso': '1456.d', 'p': 19, 'prec': 20, 'unit': 728692563260913524216484, 'val': 1}
  • id: 38199
    {'lmfdb_iso': '1456.d', 'p': 23, 'prec': 20, 'unit': 69902010798623786303174584, 'val': 1}
  • id: 38203
    {'lmfdb_iso': '1456.d', 'p': 31, 'prec': 20, 'unit': 4468144174142952075059868811, 'val': 1}
  • id: 38189
    {'lmfdb_iso': '1456.d', 'p': 37, 'prec': 20, 'unit': 344063841032463991338479802261, 'val': 1}
  • id: 38191
    {'lmfdb_iso': '1456.d', 'p': 41, 'prec': 20, 'unit': 2067762118203997080138405430144, 'val': 1}
  • id: 38192
    {'lmfdb_iso': '1456.d', 'p': 43, 'prec': 20, 'unit': 6703260686124621196849844840876, 'val': 1}
  • id: 38201
    {'lmfdb_iso': '1456.d', 'p': 47, 'prec': 20, 'unit': 15911432655139363160336514455255, 'val': 1}
  • id: 38197
    {'lmfdb_iso': '1456.d', 'p': 53, 'prec': 20, 'unit': 373890102757461831712063065841339, 'val': 1}
  • id: 38195
    {'lmfdb_iso': '1456.d', 'p': 59, 'prec': 20, 'unit': 503244479744986418040871740246731, 'val': 1}
  • id: 38202
    {'lmfdb_iso': '1456.d', 'p': 61, 'prec': 20, 'unit': 2908681551915766308409049498664604, 'val': 1}
  • id: 38188
    {'lmfdb_iso': '1456.d', 'p': 67, 'prec': 20, 'unit': 48221446712224044750976075077412778, 'val': 1}
  • id: 38190
    {'lmfdb_iso': '1456.d', 'p': 71, 'prec': 20, 'unit': 106066055963204693216914405144017045, 'val': 1}
  • id: 38198
    {'lmfdb_iso': '1456.d', 'p': 73, 'prec': 20, 'unit': 155766731383841610114923997753765176, 'val': 1}
  • id: 38193
    {'lmfdb_iso': '1456.d', 'p': 79, 'prec': 20, 'unit': 12066095741089780575028433390442244033, 'val': -1}
  • id: 38187
    {'lmfdb_iso': '1456.d', 'p': 83, 'prec': 20, 'unit': 1622600382228078530827695493285745592, 'val': 1}
  • id: 38200
    {'lmfdb_iso': '1456.d', 'p': 89, 'prec': 20, 'unit': 894984663944565807069182743630436313, 'val': 1}
  • id: 38186
    {'lmfdb_iso': '1456.d', 'p': 97, 'prec': 20, 'unit': 18422270264004763874472932671205828185, 'val': 1}