Elliptic curve data - 97104.g3

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '97104bk', 'Clabel': '97104bk1', 'Cnumber': 1, 'abc_quality': 1.006244592331002, 'absD': 1298216779776, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 14280, 'ainvs': [0, -1, 0, -8664, -312336], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 97104, 'degree': 153600, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1206551308844715339244901505', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-3574558889, 64512], 'lmfdb_iso': '97104.g', 'lmfdb_label': '97104.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -542, 4880], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.18.0.a.1', '70.36.0.b.2', '85.12.0.?', '120.36.0.?', '168.6.0.?', '170.36.0.?', '238.6.0.?', '340.72.0.?', '408.6.0.?', '840.72.1.?', '1190.72.1.?', '2040.144.1.?', '2380.144.1.?', '2856.12.0.?', '14280.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28079538568952779555512562543', 'prec': 107}, 'szpiro_ratio': 3.3826878157146756, '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, 0, -1, 0, -2, 0, -1, 0, 1, 0, 0, 0, 4, 0, 2, 0, 0, 0, 0, 0], 'aplist': [0, -1, -2, -1, 0, 4, 0, 0, -6, -4, 0, 2, -10, 4, 12, 6, 10, -10, 12, 10, 14, -4, -6, 0, 2], 'class_deg': 10, 'class_size': 4, 'conductor': 97104, 'isogeny_matrix': [[1, 5, 10, 2], [5, 1, 2, 10], [10, 2, 1, 5], [2, 10, 5, 1]], 'lmfdb_iso': '97104.g', 'trace_hash': 1801198603229080759}
• 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': '0.10631910721431671088177261051', 'prec': 103}, 'conductor': 97104, 'gens': [], 'heights': [], 'lmfdb_label': '97104.g3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24715578275820875439477224389', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.98862313103283501757908897554251215338', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[108, 0, 1]], 'xcoord_integral_points': [108]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '7': [0, 0], '17': 'a'}, 'iwp0': 7, 'lmfdb_label': '97104.g3'}
• ec_torsion_growth •

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

  
  
  • id: 4516201
    {'degree': 2, 'field': [30, -1, 1], 'lmfdb_label': '97104.g3', 'torsion': [2, 2]}
  • id: 4516203
    {'degree': 4, 'field': [68, 0, 17, 0, 1], 'lmfdb_label': '97104.g3', 'torsion': [10]}
  • id: 4516202
    {'degree': 4, 'field': [1054, -204, -34, 0, 1], 'lmfdb_label': '97104.g3', 'torsion': [4]}
  • id: 4516206
    {'degree': 8, 'field': [-12632, 38812, -37583, 14952, -2181, 30, 1, -2, 1], 'lmfdb_label': '97104.g3', 'torsion': [6]}
  • id: 4516207
    {'degree': 8, 'field': [2192, -2072, 2606, -1110, 661, -130, 48, -4, 1], 'lmfdb_label': '97104.g3', 'torsion': [2, 10]}
  • id: 4516205
    {'degree': 8, 'field': [16200, -17820, 954, 2196, 288, -6, 25, -2, 1], 'lmfdb_label': '97104.g3', 'torsion': [2, 4]}
  • id: 4516204
    {'degree': 8, 'field': [33489, 0, -3918, 0, 10, 0, 2, 0, 1], 'lmfdb_label': '97104.g3', 'torsion': [2, 4]}
  • id: 4516210
    {'degree': 16, 'field': [16072192, -23566336, 38689792, -14379264, 23195168, 1002240, 4701392, 106160, 536700, -15280, 35216, -3108, 1813, -200, 66, -4, 1], 'lmfdb_label': '97104.g3', 'torsion': [20]}
  • id: 4516208
    {'degree': 16, 'field': [19505646, -15409080, 15926868, -1404216, 1646862, -1182648, 429696, 56904, -112649, 49504, 5200, -6968, 130, 448, -44, -8, 1], 'lmfdb_label': '97104.g3', 'torsion': [8]}
  • id: 4516209
    {'degree': 16, 'field': [4337798264, -1682580160, 1751401350, -153488664, 121135710, -66493554, 43769326, -17676236, 3428949, 563002, -16082, -51960, 8114, 224, -12, -8, 1], 'lmfdb_label': '97104.g3', 'torsion': [2, 6]}
  • id: 4516211
    {'degree': 20, 'field': [-4472401864891799, -254385384110550, 270174505934125, 77592041799300, -417912748875, 3468518521146, 745642281900, -394950795750, 37113705975, 12144069000, -5466550644, -381972150, 279499125, -5729850, -6285750, -9954, 72675, 0, -425, 0, 1], 'lmfdb_label': '97104.g3', 'torsion': [10]}
• 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: 2381315
    {'conductor': 97104, 'conductor_valuation': 4, 'discriminant_valuation': 22, 'j_denominator_valuation': 10, 'kodaira_symbol': -18, 'lmfdb_label': '97104.g3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2381316
    {'conductor': 97104, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '97104.g3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2381317
    {'conductor': 97104, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '97104.g3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2381318
    {'conductor': 97104, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '97104.g3', 'prime': 17, 'reduction_type': 0, '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: 2302744
    {'adelic_gens': [[11, 16, 14040, 13931], [7141, 20, 10, 201], [14261, 20, 14260, 21], [12256, 5, 10155, 14266], [3569, 14260, 0, 14279], [1, 10, 10, 101], [8418, 5, 7855, 82], [8571, 20, 14260, 14147], [9521, 20, 9530, 201], [1, 0, 20, 1], [1, 20, 0, 1]], 'adelic_image': '14280.288.5.?', 'conductor': 97104, 'lmfdb_label': '97104.g3', 'prime': 0}
  • id: 391304
    {'conductor': 97104, 'elladic_image': '2.3.0.1', 'lmfdb_label': '97104.g3', 'modell_image': '2B', 'prime': 2}
  • id: 391305
    {'conductor': 97104, 'elladic_image': '5.6.0.1', 'lmfdb_label': '97104.g3', 'modell_image': '5B', 'prime': 5}
• lmfdb_iso 97104.g does not appear in ec_padic