Elliptic curve data - 93786.cc1

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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': '93786br', 'Clabel': '93786br4', 'Cnumber': 4, 'abc_quality': 1.0126949228662705, 'absD': 7411325178010325418, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 53592, 'ainvs': [1, 1, 1, -12784003, 17587530407], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 29], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 93786, 'degree': 4478976, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7157306563014588564996464578', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 54, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1963975500122834382625, 62995224591882], 'lmfdb_iso': '93786.cc', 'lmfdb_label': '93786.cc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -260898, -51312870], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '21.8.0-3.a.1.2', '42.24.0-6.a.1.4', '132.24.0.?', '232.6.0.?', '696.24.0.?', '924.48.0.?', '4872.48.0.?', '7656.48.1.?', '53592.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.531582678319081437307315255', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1421], [3, 4, 98], [7, 26, 1914], [11, 12, 8526], [29, 30, 3234]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7427755817738022039469700861', 'prec': 100}, 'szpiro_ratio': 5.302291335133265, '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, 0, -1, 0, 1, 1, 0, -1, -1, 4, 0, 0, 1, 6, 1, 4, 0], 'aplist': [1, -1, 0, 0, -1, 4, 6, 4, 0, -1, 4, 2, -6, 8, -6, 0, 6, -2, -4, 0, 4, -10, -12, -12, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 93786, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '93786.cc', 'trace_hash': 277686383262564081}
• 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': '0.0043766954071608174328850472240', 'prec': 110}, 'conductor': 93786, 'gens': [[4345507, -60956637, 46]], 'heights': [{'__RealLiteral__': 0, 'data': '11.531582678319081437307315255', 'prec': 100}], 'lmfdb_label': '93786.cc1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.21926667969783867298948709350', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.113967382144538571182659714373775614', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[8291, -8295, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [1, 0], '5': [1, 1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '93786.cc1'}
• ec_torsion_growth •

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

  
  
  • id: 4374611
    {'degree': 2, 'field': [-58, 0, 1], 'lmfdb_label': '93786.cc1', 'torsion': [2, 2]}
  • id: 4374612
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '93786.cc1', 'torsion': [6]}
  • id: 4374614
    {'degree': 4, 'field': [2751, 126, -125, -2, 1], 'lmfdb_label': '93786.cc1', 'torsion': [2, 6]}
  • id: 4374613
    {'degree': 4, 'field': [2842, 0, -301, 0, 1], 'lmfdb_label': '93786.cc1', 'torsion': [4]}
  • id: 4374615
    {'degree': 6, 'field': [32, 0, 0, -10, 0, 0, 1], 'lmfdb_label': '93786.cc1', 'torsion': [6]}
  • id: 4374617
    {'degree': 8, 'field': [-3220038, -4145076, -695118, 193392, 45187, -392, -406, -4, 1], 'lmfdb_label': '93786.cc1', 'torsion': [2, 4]}
  • id: 4374618
    {'degree': 8, 'field': [2601, 12042, -9888, -4218, 1885, 266, -84, -4, 1], 'lmfdb_label': '93786.cc1', 'torsion': [12]}
  • id: 4374616
    {'degree': 8, 'field': [1081488996, 0, -2919952, 0, 17516, 0, 232, 0, 1], 'lmfdb_label': '93786.cc1', 'torsion': [2, 4]}
  • id: 4374619
    {'degree': 12, 'field': [43, -24, -33, 76, -48, 48, 131, -12, 84, -4, 15, 0, 1], 'lmfdb_label': '93786.cc1', 'torsion': [3, 6]}
  • id: 4374620
    {'degree': 12, 'field': [2378854346, 3219156, -731238, -4878440, 2195790, 291936, -96975, -366, 195, -80, 27, -6, 1], 'lmfdb_label': '93786.cc1', 'torsion': [2, 6]}
  • id: 4374621
    {'degree': 16, 'field': [-276875033446332, 277765911353160, -48815240491908, -21693199273236, 5216934744165, 617012382072, -152382536079, -8866366458, 1898549515, 63053728, -10167842, -112520, 51715, 832, -407, -2, 1], 'lmfdb_label': '93786.cc1', 'torsion': [8]}
  • id: 4374623
    {'degree': 16, 'field': [28372996, 52628080, -128919640, -366231056, -184687788, 209259952, 281381604, 112328704, 6203149, -6912652, -1391148, 71180, 32985, 248, -298, -4, 1], 'lmfdb_label': '93786.cc1', 'torsion': [2, 12]}
  • id: 4374622
    {'degree': 16, 'field': [57486321657, -2353396392, 3369343980, -2700126912, 3055825738, -2145331384, 878835832, -139682344, 33993587, 788360, -326984, 91000, -14014, -560, 100, -8, 1], 'lmfdb_label': '93786.cc1', 'torsion': [2, 12]}
  • id: 4374624
    {'degree': 18, 'field': [-14549889051, -660324007710, 305683063416, 110679622455, 51473880333, -31029155832, -28561025846, 9308297061, 1423626426, -703957873, 61791147, -6078231, 1551225, -145647, 16167, 98, 81, -9, 1], 'lmfdb_label': '93786.cc1', '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: 2297501
    {'conductor': 93786, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '93786.cc1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2297502
    {'conductor': 93786, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '93786.cc1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2297503
    {'conductor': 93786, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '93786.cc1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2297504
    {'conductor': 93786, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '93786.cc1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2297505
    {'conductor': 93786, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '93786.cc1', 'prime': 29, '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: 2281411
    {'adelic_gens': [[48721, 45948, 47334, 7729], [18754, 38283, 43533, 45928], [7666, 38283, 3801, 45928], [45627, 13720, 14966, 21365], [7655, 0, 0, 53591], [1, 0, 12, 1], [1, 6, 6, 37], [1, 12, 0, 1], [35729, 45948, 31906, 7729], [11, 2, 53542, 53583], [53581, 12, 53580, 13]], 'adelic_image': '53592.96.1.?', 'conductor': 93786, 'lmfdb_label': '93786.cc1', 'prime': 0}
  • id: 379508
    {'conductor': 93786, 'elladic_image': '2.3.0.1', 'lmfdb_label': '93786.cc1', 'modell_image': '2B', 'prime': 2}
  • id: 379509
    {'conductor': 93786, 'elladic_image': '3.4.0.1', 'lmfdb_label': '93786.cc1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 4869850
    {'lmfdb_iso': '93786.cc', 'p': 13, 'prec': 20, 'unit': 1407888326387723271388, 'val': 1}
  • id: 4869852
    {'lmfdb_iso': '93786.cc', 'p': 17, 'prec': 20, 'unit': 68889330801432911938143, 'val': 1}
  • id: 4869844
    {'lmfdb_iso': '93786.cc', 'p': 19, 'prec': 20, 'unit': 958899481564841256674226, 'val': 1}
  • id: 4869859
    {'lmfdb_iso': '93786.cc', 'p': 31, 'prec': 20, 'unit': 20853806844647051783873759060, 'val': 1}
  • id: 4869847
    {'lmfdb_iso': '93786.cc', 'p': 37, 'prec': 20, 'unit': 183630351037929202319863197386, 'val': 1}
  • id: 4869848
    {'lmfdb_iso': '93786.cc', 'p': 41, 'prec': 20, 'unit': 494405736229466299664617737153, 'val': 1}
  • id: 4869849
    {'lmfdb_iso': '93786.cc', 'p': 43, 'prec': 20, 'unit': 6431390531702695224399652762184, 'val': 1}
  • id: 4869857
    {'lmfdb_iso': '93786.cc', 'p': 47, 'prec': 20, 'unit': 48569597297940900802182230009919, 'val': 1}
  • id: 4869854
    {'lmfdb_iso': '93786.cc', 'p': 59, 'prec': 20, 'unit': 3686172238787184951704495854383201, 'val': 1}
  • id: 4869858
    {'lmfdb_iso': '93786.cc', 'p': 61, 'prec': 20, 'unit': 4205230201217980811688798154828916, 'val': 1}
  • id: 4869846
    {'lmfdb_iso': '93786.cc', 'p': 67, 'prec': 20, 'unit': 15301095529738159039219921522568455, 'val': 1}
  • id: 4869855
    {'lmfdb_iso': '93786.cc', 'p': 73, 'prec': 20, 'unit': 162269156021197339025347370812490543, 'val': 1}
  • id: 4869851
    {'lmfdb_iso': '93786.cc', 'p': 79, 'prec': 20, 'unit': 184522672170944571739671371648779346, 'val': 1}
  • id: 4869853
    {'lmfdb_iso': '93786.cc', 'p': 83, 'prec': 20, 'unit': 246597641391915549886690760032049726, 'val': 1}
  • id: 4869856
    {'lmfdb_iso': '93786.cc', 'p': 89, 'prec': 20, 'unit': 9206381641403539807402259651915435637, 'val': 1}
  • id: 4869845
    {'lmfdb_iso': '93786.cc', 'p': 97, 'prec': 20, 'unit': 35016476228245576019049727285270657206, 'val': 1}