Elliptic curve data - 1446.f1

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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': '1446f', 'Clabel': '1446f2', 'Cnumber': 2, 'abc_quality': 0.9595591210776019, 'absD': 25090992, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2892, 'ainvs': [1, 0, 0, -2309, 42513], 'analytic_rank': 1, 'bad_primes': [2, 3, 241], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1446, 'degree': 768, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.54514474674861950673534865019', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [1361467461379537, 25090992], 'lmfdb_iso': '1446.f', 'lmfdb_label': '1446.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2309, 42513], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '964.6.0.?', '2892.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.32971615962820506296233500648', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 4, 3], [3, 4, 482], [241, 242, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54514474674861950673534865019', 'prec': 103}, 'szpiro_ratio': 4.788987757401287, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [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, 1, 1, 1, -2, 1, -2, 1, 1, -2, -4, 1, -2, -2, -2, 1, -4, 1, -2, -2], 'aplist': [1, 1, -2, -2, -4, -2, -4, -2, 0, -6, -2, 10, 6, 2, -8, 2, -4, -2, 4, 4, -10, 8, -12, 8, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 1446, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1446.f', 'trace_hash': 1815532690956388690}
• 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': '0.33611917530534258349452330354', 'prec': 103}, 'conductor': 1446, 'gens': [[28, -11, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.32971615962820506296233500648', 'prec': 103}], 'lmfdb_label': '1446.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.9521366205932351768933718171', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8619059376695034753589277797066770746', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[111, -111, 2]], 'xcoord_integral_points': [28, 34, 48, 88]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [2, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '241': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1446.f1'}
• ec_torsion_growth •

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

  
  
  • id: 72220
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '1446.f1', 'torsion': [2, 2]}
  • id: 72221
    {'degree': 4, 'field': [12, 0, -17, 0, 1], 'lmfdb_label': '1446.f1', 'torsion': [4]}
  • id: 72224
    {'degree': 8, 'field': [-72, -12, 42, -61, 34, -7, 7, -4, 1], 'lmfdb_label': '1446.f1', 'torsion': [6]}
  • id: 72223
    {'degree': 8, 'field': [598, 420, 422, 36, 51, -24, 14, 0, 1], 'lmfdb_label': '1446.f1', 'torsion': [2, 4]}
  • id: 72222
    {'degree': 8, 'field': [900, 0, -1512, 0, 469, 0, -46, 0, 1], 'lmfdb_label': '1446.f1', 'torsion': [2, 4]}
  • id: 72226
    {'degree': 16, 'field': [1296, 0, 1824, 0, 16, 0, -1419, 0, 306, 0, -91, 0, -15, 0, -6, 0, 1], 'lmfdb_label': '1446.f1', 'torsion': [2, 6]}
  • id: 72225
    {'degree': 16, 'field': [20736, 0, -5260032, 0, 24075936, 0, -26837856, 0, 2130873, 0, -349683, 0, 8134, 0, -89, 0, 1], 'lmfdb_label': '1446.f1', 'torsion': [8]}
• 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: 22174
    {'conductor': 1446, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '1446.f1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 22175
    {'conductor': 1446, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1446.f1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 22176
    {'conductor': 1446, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1446.f1', 'prime': 241, 'reduction_type': -1, '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: 1673614
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1930, 1, 1927, 0], [1, 4, 0, 1], [1453, 4, 14, 9], [2889, 4, 2888, 5], [724, 2173, 2169, 724]], 'adelic_image': '2892.12.0.?', 'conductor': 1446, 'lmfdb_label': '1446.f1', 'prime': 0}
  • id: 6992
    {'conductor': 1446, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1446.f1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 37670
    {'lmfdb_iso': '1446.f', 'p': 5, 'prec': 20, 'unit': 5778384467749, 'val': 1}
  • id: 37671
    {'lmfdb_iso': '1446.f', 'p': 7, 'prec': 20, 'unit': 10191415978258653, 'val': 1}
  • id: 37672
    {'lmfdb_iso': '1446.f', 'p': 11, 'prec': 20, 'unit': 57495118283731358829, 'val': 1}
  • id: 37673
    {'lmfdb_iso': '1446.f', 'p': 13, 'prec': 20, 'unit': 1458018105540175997724, 'val': 1}
  • id: 37674
    {'lmfdb_iso': '1446.f', 'p': 17, 'prec': 20, 'unit': 105632647893321514735086, 'val': 1}
  • id: 37675
    {'lmfdb_iso': '1446.f', 'p': 19, 'prec': 20, 'unit': 1739684396249328979537950, 'val': 1}
  • id: 37676
    {'lmfdb_iso': '1446.f', 'p': 29, 'prec': 20, 'unit': 3301171520392285723982208159, 'val': 1}
  • id: 37677
    {'lmfdb_iso': '1446.f', 'p': 31, 'prec': 20, 'unit': 5050525905170786764882208130, 'val': 1}
  • id: 37678
    {'lmfdb_iso': '1446.f', 'p': 37, 'prec': 20, 'unit': 11636983880854146671441898999, 'val': 1}
  • id: 37679
    {'lmfdb_iso': '1446.f', 'p': 41, 'prec': 20, 'unit': 3252403933589217238909984234257, 'val': 1}
  • id: 37680
    {'lmfdb_iso': '1446.f', 'p': 43, 'prec': 20, 'unit': 5613503363845555368799496837474, 'val': 1}
  • id: 37681
    {'lmfdb_iso': '1446.f', 'p': 47, 'prec': 20, 'unit': 9722433964035152872131676657370, 'val': 1}
  • id: 37682
    {'lmfdb_iso': '1446.f', 'p': 53, 'prec': 20, 'unit': 226028314624871849122218307244032, 'val': 1}
  • id: 37683
    {'lmfdb_iso': '1446.f', 'p': 59, 'prec': 20, 'unit': 511263882202882405691308072066049, 'val': 1}
  • id: 37684
    {'lmfdb_iso': '1446.f', 'p': 61, 'prec': 20, 'unit': 2242635731560960667416901070820290, 'val': 1}
  • id: 37685
    {'lmfdb_iso': '1446.f', 'p': 67, 'prec': 20, 'unit': 42402049864266365764344920783371242, 'val': 1}
  • id: 37686
    {'lmfdb_iso': '1446.f', 'p': 71, 'prec': 20, 'unit': 103753890126292658654545752272207720, 'val': 1}
  • id: 37687
    {'lmfdb_iso': '1446.f', 'p': 73, 'prec': 20, 'unit': 234673173874207499496284971255699490, 'val': 1}
  • id: 37688
    {'lmfdb_iso': '1446.f', 'p': 79, 'prec': 20, 'unit': 475599347158674023119782734563345996, 'val': 1}
  • id: 37689
    {'lmfdb_iso': '1446.f', 'p': 83, 'prec': 20, 'unit': 297352744224006844832279389381252866, 'val': 1}
  • id: 37690
    {'lmfdb_iso': '1446.f', 'p': 89, 'prec': 20, 'unit': 10896391883215507760537112279935361880, 'val': 1}
  • id: 37691
    {'lmfdb_iso': '1446.f', 'p': 97, 'prec': 20, 'unit': 22543747047765181655413595889025434986, 'val': 1}