Elliptic curve data - 293046.p1

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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': '293046p', 'Clabel': '293046p2', 'Cnumber': 2, 'abc_quality': 0.9003384877332229, 'absD': 18573268607377298752704, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 102, 'ainvs': [1, 1, 0, -8743556, -11920952688], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 293046, 'degree': 32348160, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9907602140045366521200158818', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 15, 'isogeny_degrees': [1, 3], 'jinv': [-3754462153, 943296], 'lmfdb_iso': '293046.p', 'lmfdb_label': '293046.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -179, -1119], 'min_quad_twist_disc': 221, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.1', '51.8.0-3.a.1.1', '102.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2013946086905044130838881956', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 146523], [3, 4, 48841], [13, 74, 1734], [17, 162, 1014]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13581269633126254537374305485', 'prec': 107}, 'szpiro_ratio': 4.760506595909517, '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, -1, -1, 1, 3, 1, -2, -1, 1, -3, -3, -1, 0, 2, -3, 1, 0, -1, -4, 3], 'aplist': [-1, -1, 3, -2, -3, 0, 0, -4, 9, 9, -2, -2, 6, -1, 6, -6, 0, 10, 11, 0, -14, -8, 6, 0, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 293046, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '293046.p', 'trace_hash': 1874989490445793634}
• 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': '0.0025249843153692096009435334612', 'prec': 110}, 'conductor': 293046, 'gens': [[57112, 11626924, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '5.2013946086905044130838881956', 'prec': 100}], 'lmfdb_label': '293046.p1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.043325834271838138337320954140', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4085142591653722902818727576106360561', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 293046.p1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12437742
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '293046.p1', 'torsion': [3]}
  • id: 12437743
    {'degree': 3, 'field': [12, 9, -1, 1], 'lmfdb_label': '293046.p1', 'torsion': [2]}
  • id: 12437744
    {'degree': 6, 'field': [697, -459, 438, 41, -18, -3, 1], 'lmfdb_label': '293046.p1', 'torsion': [2, 6]}
  • id: 12437745
    {'degree': 6, 'field': [15146, -3207, 387, -211, -9, -3, 1], 'lmfdb_label': '293046.p1', 'torsion': [3]}
  • id: 12437746
    {'degree': 12, 'field': [92416, -65664, -1776, 38872, 17301, -1398, -5472, -1002, 642, 94, -24, -6, 1], 'lmfdb_label': '293046.p1', 'torsion': [4]}
  • id: 12437747
    {'degree': 12, 'field': [411724, -776148, 457749, -22457, -48954, 5655, -2617, 1716, 231, -19, 18, -3, 1], 'lmfdb_label': '293046.p1', 'torsion': [3, 3]}
  • id: 12437749
    {'degree': 18, 'field': [147507352, -275173296, 270904776, -92103425, -58347477, 98624508, -53898428, 14511177, 1094991, -2538041, 1033797, -193119, 11279, 3579, -363, -114, 60, -9, 1], 'lmfdb_label': '293046.p1', 'torsion': [6]}
  • id: 12437748
    {'degree': 18, 'field': [364247176441, 190539503877, -70009586625, -70496811110, 277395048, 10203456030, 1300371070, -685884474, -167252871, 11482345, 11418627, 322446, -289612, -34752, 5532, 1008, -111, -9, 1], 'lmfdb_label': '293046.p1', '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: 7263660
    {'conductor': 293046, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '293046.p1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7263661
    {'conductor': 293046, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '293046.p1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7263662
    {'conductor': 293046, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '293046.p1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
  • id: 7263663
    {'conductor': 293046, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '293046.p1', 'prime': 17, '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: 3510472
    {'adelic_gens': [[99, 100, 92, 95], [1, 0, 6, 1], [4, 3, 9, 7], [65, 96, 93, 83], [3, 4, 8, 11], [20, 87, 1, 52], [97, 6, 96, 7], [1, 6, 0, 1]], 'adelic_image': '102.16.0.?', 'conductor': 293046, 'lmfdb_label': '293046.p1', 'prime': 0}
  • id: 1037536
    {'conductor': 293046, 'elladic_image': '3.4.0.1', 'lmfdb_label': '293046.p1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 293046.p does not appear in ec_padic