Elliptic curve data - 10304.h2

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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': '10304ba', 'Clabel': '10304ba2', 'Cnumber': 2, 'abc_quality': 0.8957898394441253, 'absD': 15167488, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 644, 'ainvs': [0, 1, 0, 7, -185], 'analytic_rank': 1, 'bad_primes': [2, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 10304, 'degree': 1536, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.056976143587636929943417238408', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [8000, 3703], 'lmfdb_iso': '10304.h', 'lmfdb_label': '10304.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 2, 24], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '92.6.0.?', '644.12.0.?'], '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': '1.3983721116556569682422586185', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63617103697230837947381488305', 'prec': 107}, 'szpiro_ratio': 2.596037602872574, '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, -2, 0, 0, 0, -1, 0, 1, 0, 4, 0, -2, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, -2, 0, -1, 4, -2, 0, -4, 1, 6, 2, 2, -6, 4, -10, 6, -6, -4, 4, 8, -2, 0, 8, 0, 4], 'class_deg': 2, 'class_size': 2, 'conductor': 10304, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '10304.h', 'trace_hash': 1050606094667299095}
• 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': '0.89230052904550270407613416356', 'prec': 103}, 'conductor': 10304, 'gens': [[7, 16, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3983721116556569682422586185', 'prec': 100}], 'lmfdb_label': '10304.h2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0364688660168911150311231567', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8987383136747684491066842003394184624', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[5, 0, 1]], 'xcoord_integral_points': [5, 7, 51]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 1, 0], '7': [1, 0], '11': [1, 0], '13': [3, 0], '17': [1, 1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '10304.h2'}
• ec_torsion_growth •

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

  
  
  • id: 532928
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '10304.h2', 'torsion': [2, 2]}
  • id: 532929
    {'degree': 4, 'field': [-7, 0, -8, 0, 1], 'lmfdb_label': '10304.h2', 'torsion': [4]}
  • id: 532932
    {'degree': 8, 'field': [-21675, 0, -6112, 0, -510, 0, 0, 0, 1], 'lmfdb_label': '10304.h2', 'torsion': [6]}
  • id: 532930
    {'degree': 8, 'field': [242, -572, 606, -60, 11, 20, -2, -4, 1], 'lmfdb_label': '10304.h2', 'torsion': [2, 4]}
  • id: 532931
    {'degree': 8, 'field': [2116, 0, -598, 0, 101, 0, 22, 0, 1], 'lmfdb_label': '10304.h2', 'torsion': [2, 4]}
  • id: 532934
    {'degree': 16, 'field': [255896, -421136, 363736, 91616, 19712, -99624, 67900, -29752, 8933, -3424, 3360, -1792, 602, -168, 44, -8, 1], 'lmfdb_label': '10304.h2', 'torsion': [2, 6]}
  • id: 532933
    {'degree': 16, 'field': [414736, 0, 0, 0, -262752, 0, 123648, 0, -39528, 0, 1280, 0, 616, 0, -64, 0, 1], 'lmfdb_label': '10304.h2', 'torsion': [8]}
• 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: 218261
    {'conductor': 10304, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '10304.h2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 218262
    {'conductor': 10304, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10304.h2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 218263
    {'conductor': 10304, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10304.h2', 'prime': 23, 'reduction_type': 1, '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: 1732045
    {'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [370, 1, 459, 0], [281, 4, 562, 9], [641, 4, 640, 5], [165, 484, 160, 483], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '644.12.0.?', 'conductor': 10304, 'lmfdb_label': '10304.h2', 'prime': 0}
  • id: 49537
    {'conductor': 10304, 'elladic_image': '2.3.0.1', 'lmfdb_label': '10304.h2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 437351
    {'lmfdb_iso': '10304.h', 'p': 11, 'prec': 20, 'unit': 13615221389816663473, 'val': 1}
  • id: 437357
    {'lmfdb_iso': '10304.h', 'p': 13, 'prec': 20, 'unit': 38708900886447115042, 'val': 2}
  • id: 437359
    {'lmfdb_iso': '10304.h', 'p': 19, 'prec': 20, 'unit': 1792762536058462701604728, 'val': 1}
  • id: 437356
    {'lmfdb_iso': '10304.h', 'p': 29, 'prec': 20, 'unit': 5523157369061652259342061468, 'val': 1}
  • id: 437365
    {'lmfdb_iso': '10304.h', 'p': 31, 'prec': 20, 'unit': 18932634683110047414553669161, 'val': 1}
  • id: 437352
    {'lmfdb_iso': '10304.h', 'p': 37, 'prec': 20, 'unit': 120550648356774921589555350550, 'val': 1}
  • id: 437354
    {'lmfdb_iso': '10304.h', 'p': 41, 'prec': 20, 'unit': 1947836556032188910481487183287, 'val': 1}
  • id: 437355
    {'lmfdb_iso': '10304.h', 'p': 43, 'prec': 20, 'unit': 10238473699940402727758746698875, 'val': 1}
  • id: 437358
    {'lmfdb_iso': '10304.h', 'p': 47, 'prec': 20, 'unit': 14202759540237142196905185294170, 'val': 1}
  • id: 437360
    {'lmfdb_iso': '10304.h', 'p': 53, 'prec': 20, 'unit': 527928678776258819011193456555452, 'val': 1}
  • id: 437363
    {'lmfdb_iso': '10304.h', 'p': 59, 'prec': 20, 'unit': 3509773994478675383149295431048439, 'val': 1}
  • id: 437364
    {'lmfdb_iso': '10304.h', 'p': 61, 'prec': 20, 'unit': 5718533089021149567867534369440973, 'val': 1}
  • id: 437350
    {'lmfdb_iso': '10304.h', 'p': 67, 'prec': 20, 'unit': 11916163853379332897684464374014420, 'val': 1}
  • id: 437353
    {'lmfdb_iso': '10304.h', 'p': 71, 'prec': 20, 'unit': 25320102365931360985608939837724052, 'val': 1}
  • id: 437361
    {'lmfdb_iso': '10304.h', 'p': 73, 'prec': 20, 'unit': 240543215600174862651813098256985916, 'val': 1}
  • id: 437362
    {'lmfdb_iso': '10304.h', 'p': 83, 'prec': 20, 'unit': 650346079713421545091484931951245918, 'val': 1}
  • id: 437349
    {'lmfdb_iso': '10304.h', 'p': 97, 'prec': 20, 'unit': 10125702927747440123693878881759946017, 'val': 1}