Elliptic curve data - 10304.q1

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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': '10304a', 'Clabel': '10304a2', 'Cnumber': 2, 'abc_quality': 1.020512617636667, 'absD': 147718144, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1288, 'ainvs': [0, 0, 0, -3916, 94320], 'analytic_rank': 1, 'bad_primes': [2, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 10304, 'degree': 4096, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.68251416507956139059635976114', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [50668941906, 1127], 'lmfdb_iso': '10304.q', 'lmfdb_label': '10304.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -979, 11790], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '184.6.0.?', '1288.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0515656311488537289240713464', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29944434071369446441138574426', 'prec': 107}, 'szpiro_ratio': 3.942743258512323, '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, 0, 0, -2, 0, -1, 0, -3, 0, 0, 0, 4, 0, 0, 0, -4, 0, 2, 0], 'aplist': [0, 0, -2, -1, 0, 4, -4, 2, -1, 6, 2, 6, -2, -4, 6, -6, 0, 2, 4, 12, -10, -8, 6, 0, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 10304, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '10304.q', 'trace_hash': 509867848749545782}
• 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': '0.25537344111537310265528469978', 'prec': 103}, 'conductor': 10304, 'gens': [[37, 9, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0515656311488537289240713464', 'prec': 100}], 'lmfdb_label': '10304.q1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.6925685091535284006735816549', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4724153817442329032512762607880907303', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[36, 0, 1]], 'xcoord_integral_points': [8, 36, 37]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 1, 0], '5': [1, 0], '7': [1, 0], '11': [3, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '10304.q1'}
• ec_torsion_growth •

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

  
  
  • id: 532572
    {'degree': 2, 'field': [-46, 0, 1], 'lmfdb_label': '10304.q1', 'torsion': [2, 2]}
  • id: 532573
    {'degree': 4, 'field': [11, 9, -2, -1, 1], 'lmfdb_label': '10304.q1', 'torsion': [4]}
  • id: 532576
    {'degree': 8, 'field': [-2523, 0, 2832, 0, -534, 0, 30, 0, 1], 'lmfdb_label': '10304.q1', 'torsion': [6]}
  • id: 532575
    {'degree': 8, 'field': [441, 0, 1414, 0, -33, 0, -6, 0, 1], 'lmfdb_label': '10304.q1', 'torsion': [2, 4]}
  • id: 532574
    {'degree': 8, 'field': [1369, 0, -2652, 0, -1510, 0, 12, 0, 1], 'lmfdb_label': '10304.q1', 'torsion': [2, 4]}
  • id: 532577
    {'degree': 16, 'field': [280127, -74950, 568073, -558558, 317571, -104424, -60314, 34944, -12330, 3096, 1764, -400, 311, -70, 25, -2, 1], 'lmfdb_label': '10304.q1', 'torsion': [8]}
  • id: 532578
    {'degree': 16, 'field': [99161764, 0, -337947872, 0, 95112364, 0, -14622656, 0, 1379320, 0, -87452, 0, 3616, 0, -92, 0, 1], 'lmfdb_label': '10304.q1', 'torsion': [2, 6]}
• 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: 218117
    {'conductor': 10304, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '10304.q1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 218118
    {'conductor': 10304, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10304.q1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 218119
    {'conductor': 10304, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10304.q1', 'prime': 23, '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: 1732059
    {'adelic_gens': [[562, 1, 1007, 0], [1, 2, 2, 5], [2, 1, 643, 0], [1, 4, 0, 1], [1285, 4, 1284, 5], [1, 0, 4, 1], [185, 4, 370, 9], [3, 4, 8, 11], [484, 809, 161, 1128]], 'adelic_image': '1288.12.0.?', 'conductor': 10304, 'lmfdb_label': '10304.q1', 'prime': 0}
  • id: 49548
    {'conductor': 10304, 'elladic_image': '2.3.0.1', 'lmfdb_label': '10304.q1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 437031
    {'lmfdb_iso': '10304.q', 'p': 5, 'prec': 20, 'unit': 16982339430983, 'val': 1}
  • id: 437037
    {'lmfdb_iso': '10304.q', 'p': 13, 'prec': 20, 'unit': 658594156618306200772, 'val': 1}
  • id: 437039
    {'lmfdb_iso': '10304.q', 'p': 17, 'prec': 20, 'unit': 7793568532787034108211, 'val': 1}
  • id: 437040
    {'lmfdb_iso': '10304.q', 'p': 19, 'prec': 20, 'unit': 682330967587880976061183, 'val': 1}
  • id: 437036
    {'lmfdb_iso': '10304.q', 'p': 29, 'prec': 20, 'unit': 161641357680560325983247403, 'val': 1}
  • id: 437033
    {'lmfdb_iso': '10304.q', 'p': 31, 'prec': 20, 'unit': 8628206370110669658078336295, 'val': 1}
  • id: 437045
    {'lmfdb_iso': '10304.q', 'p': 37, 'prec': 20, 'unit': 497614254553932070341381086233, 'val': 1}
  • id: 437034
    {'lmfdb_iso': '10304.q', 'p': 41, 'prec': 20, 'unit': 14189768961509594893531044224, 'val': 2}
  • id: 437035
    {'lmfdb_iso': '10304.q', 'p': 43, 'prec': 20, 'unit': 7251060725209572921066514444665, 'val': 1}
  • id: 437038
    {'lmfdb_iso': '10304.q', 'p': 47, 'prec': 20, 'unit': 13372763210634968261274889562598, 'val': 1}
  • id: 437041
    {'lmfdb_iso': '10304.q', 'p': 53, 'prec': 20, 'unit': 441936523453573630493535137213386, 'val': 1}
  • id: 437044
    {'lmfdb_iso': '10304.q', 'p': 61, 'prec': 20, 'unit': 5865463234359274333404198586650236, 'val': 1}
  • id: 437030
    {'lmfdb_iso': '10304.q', 'p': 67, 'prec': 20, 'unit': 13595424039739234291744989871080399, 'val': 1}
  • id: 437032
    {'lmfdb_iso': '10304.q', 'p': 71, 'prec': 20, 'unit': 73346228534428976841698333789022118, 'val': 1}
  • id: 437042
    {'lmfdb_iso': '10304.q', 'p': 73, 'prec': 20, 'unit': 180390113352050408881175227611129751, 'val': 1}
  • id: 437043
    {'lmfdb_iso': '10304.q', 'p': 79, 'prec': 20, 'unit': 652757551313190192236163252946864243, 'val': 1}
  • id: 437029
    {'lmfdb_iso': '10304.q', 'p': 83, 'prec': 20, 'unit': 1770407844284016251450027562849691903, 'val': 1}
  • id: 437028
    {'lmfdb_iso': '10304.q', 'p': 97, 'prec': 20, 'unit': 53404322538730190877648005561521772191, 'val': 1}