Elliptic curve data - 91035.ba3

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '91035d', 'Clabel': '91035d2', 'Cnumber': 2, 'abc_quality': 1.0649344898971125, 'absD': 754440839467875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 10710, 'ainvs': [0, 0, 1, 22542, 222313], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 17], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 91035, 'degree': 302400, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5440687956591127744324352106', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 3], 'jinv': [71991296, 42875], 'lmfdb_iso': '91035.ba', 'lmfdb_label': '91035.ba3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 9, 1], 'min_quad_twist_disc': -51, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '51.24.0-3.a.1.1', '63.36.0.b.1', '70.2.0.a.1', '210.24.1.?', '630.72.3.?', '1071.72.0.?', '3570.48.1.?', '10710.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 2, 289], [5, 6, 18207], [7, 8, 13005], [17, 146, 315]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42184402070305011138995471680', 'prec': 107}, 'szpiro_ratio': 3.650320696560264, '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, 0, -2, -1, 0, -1, 0, 0, 0, -3, 0, 5, 0, 0, 4, 0, 0, 2, 2], 'aplist': [0, 0, -1, -1, -3, 5, 0, 2, -6, 3, 4, -2, -12, -10, -9, -12, 0, -8, -4, 0, -2, 1, -12, 12, 1], 'class_deg': 9, 'class_size': 3, 'conductor': 91035, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '91035.ba', 'trace_hash': 1564427218888934066}
• 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': '0.045586776601823060611194165892', 'prec': 107}, 'conductor': 91035, 'gens': [], 'heights': [], 'lmfdb_label': '91035.ba3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.30876795842251852467434040767', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.30876795842251852467434040767314747782', 'prec': 133}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [0, 5, 0], '3': 'a', '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': 'a', '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '91035.ba3'}
• ec_torsion_growth •

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

  
  
  • id: 4249694
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '91035.ba3', 'torsion': [3]}
  • id: 4249695
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '91035.ba3', 'torsion': [3]}
  • id: 4249696
    {'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '91035.ba3', 'torsion': [2]}
  • id: 4249697
    {'degree': 4, 'field': [16, 4, 5, -1, 1], 'lmfdb_label': '91035.ba3', 'torsion': [3, 3]}
  • id: 4249699
    {'degree': 6, 'field': [-118, -116, 52, 11, -5, -3, 1], 'lmfdb_label': '91035.ba3', 'torsion': [6]}
  • id: 4249698
    {'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '91035.ba3', 'torsion': [2, 2]}
  • id: 4249700
    {'degree': 6, 'field': [1675, -655, 550, -83, 46, -3, 1], 'lmfdb_label': '91035.ba3', 'torsion': [6]}
  • id: 4249701
    {'degree': 12, 'field': [-11300914403, 3074640446, -689827828, -31572334, 38909243, -2813980, -286584, 37388, -5633, 454, 12, -6, 1], 'lmfdb_label': '91035.ba3', 'torsion': [4]}
  • id: 4249702
    {'degree': 12, 'field': [2092, -1052, 9488, -6056, -3414, 3684, 361, -966, 69, 112, -13, -6, 1], 'lmfdb_label': '91035.ba3', 'torsion': [3, 6]}
  • id: 4249703
    {'degree': 12, 'field': [24649, 0, -21457, 0, 7958, 0, -1505, 0, 182, 0, -17, 0, 1], 'lmfdb_label': '91035.ba3', 'torsion': [2, 6]}
  • id: 4249704
    {'degree': 12, 'field': [1932100, 0, 1487480, 0, 376416, 0, 45075, 0, 2783, 0, 85, 0, 1], 'lmfdb_label': '91035.ba3', 'torsion': [2, 6]}
  • id: 4249705
    {'degree': 18, 'field': [12455981, -39636915, 42271230, -29209948, 24295839, -7196889, -8664784, 5493927, 1077720, -1305821, -24816, 180051, -10628, -14301, 1191, 566, -54, -9, 1], 'lmfdb_label': '91035.ba3', 'torsion': [9]}
  • id: 4249706
    {'degree': 18, 'field': [54815053, -171575631, 323395503, -403270221, 368664777, -254688666, 131303230, -47921877, 11235825, -1315708, 8523, -16533, 18478, -5520, 795, -17, -9, -3, 1], 'lmfdb_label': '91035.ba3', '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: 2225424
    {'conductor': 91035, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '91035.ba3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2225425
    {'conductor': 91035, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '91035.ba3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2225426
    {'conductor': 91035, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '91035.ba3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2225427
    {'conductor': 91035, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '91035.ba3', 'prime': 17, 'reduction_type': 0, '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: 2263050
    {'adelic_gens': [[10693, 18, 10692, 19], [1, 18, 0, 1], [1, 9, 9, 82], [7753, 10098, 1989, 511], [1, 6, 6, 37], [6289, 612, 5202, 6425], [1, 0, 18, 1], [1, 12, 0, 1], [6427, 10098, 9333, 5203], [9449, 0, 0, 10709]], 'adelic_image': '10710.144.3.?', 'conductor': 91035, 'lmfdb_label': '91035.ba3', 'prime': 0}
  • id: 368923
    {'conductor': 91035, 'elladic_image': '3.12.0.1', 'lmfdb_label': '91035.ba3', 'modell_image': '3Cs', 'prime': 3}
• lmfdb_iso 91035.ba does not appear in ec_padic