Elliptic curve data - 5184.m1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '5184g', 'Clabel': '5184g1', 'Cnumber': 1, 'absD': 5184, 'adelic_genus': 0, 'adelic_index': 4, 'adelic_level': 4, 'ainvs': [0, 0, 0, -3, -4], 'analytic_rank': 1, 'bad_primes': [2, 3], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 5184, 'degree': 192, 'elladic_images': ['4.4.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.59674056482836378030578474618', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1], 'jinv': [-576, 1], 'lmfdb_iso': '5184.m', 'lmfdb_label': '5184.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -108, -864], 'min_quad_twist_disc': 24, 'modell_images': [], 'modm_images': ['4.4.0-4.a.1.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2149433754434178183554543935', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3095182513310396654794825526', 'prec': 103}, '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, 0, -1, 0, 2, 0, 0, 0, -2, 0, -1, 0, 0, 0, 3, 0, -2, 0], 'aplist': [0, 0, -1, 2, -2, -1, 3, -2, 6, -1, -8, -1, -2, -10, 4, 10, -4, -9, 14, 10, -9, 10, -12, 11, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 5184, 'isogeny_matrix': [[1]], 'lmfdb_iso': '5184.m', 'trace_hash': 561615715028898241}
• 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': '3.2985439032478098844619373710', 'prec': 100}, 'conductor': 5184, 'gens': [[8, 22, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2149433754434178183554543935', 'prec': 100}], 'lmfdb_label': '5184.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.7131488007610029694434984452', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7945275873944191892759112621144694734', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': [8]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '5184.m1'}
• ec_torsion_growth •

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

  
  
  • id: 270708
    {'degree': 3, 'field': [-4, -3, 0, 1], 'lmfdb_label': '5184.m1', 'torsion': [2]}
  • id: 270709
    {'degree': 6, 'field': [2, 6, 9, -2, 0, 0, 1], 'lmfdb_label': '5184.m1', 'torsion': [2, 2]}
  • id: 270710
    {'degree': 8, 'field': [-3, 0, -12, 0, -18, 0, 4, 0, 1], 'lmfdb_label': '5184.m1', 'torsion': [3]}
  • id: 270711
    {'degree': 12, 'field': [12, 0, -24, 16, 18, -12, -24, 36, -9, -14, 15, -6, 1], 'lmfdb_label': '5184.m1', 'torsion': [4]}
• 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: 100861
    {'conductor': 5184, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '5184.m1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 100862
    {'conductor': 5184, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '5184.m1', 'prime': 3, '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: 1697827
    {'adelic_gens': [[1, 1, 2, 1], [3, 0, 2, 3], [1, 2, 2, 1], [2, 3, 3, 1]], 'adelic_image': '4.4.0.?', 'conductor': 5184, 'lmfdb_label': '5184.m1', 'prime': 0}
  • id: 25728
    {'conductor': 5184, 'elladic_image': '4.4.0.3', 'lmfdb_label': '5184.m1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

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

  
  
  • id: 192039
    {'lmfdb_iso': '5184.m', 'p': 5, 'prec': 20, 'unit': 18262095587207, 'val': 1}
  • id: 192040
    {'lmfdb_iso': '5184.m', 'p': 7, 'prec': 20, 'unit': 1091256590242776, 'val': 2}
  • id: 192041
    {'lmfdb_iso': '5184.m', 'p': 11, 'prec': 20, 'unit': 34950413252325422466, 'val': 1}
  • id: 192042
    {'lmfdb_iso': '5184.m', 'p': 13, 'prec': 20, 'unit': 848820751914704431631, 'val': 1}
  • id: 192043
    {'lmfdb_iso': '5184.m', 'p': 17, 'prec': 20, 'unit': 156515748772786143412433, 'val': 1}
  • id: 192044
    {'lmfdb_iso': '5184.m', 'p': 19, 'prec': 20, 'unit': 604122038147122390287516, 'val': 1}
  • id: 192045
    {'lmfdb_iso': '5184.m', 'p': 23, 'prec': 20, 'unit': 30782441614894465872371524, 'val': 1}
  • id: 192046
    {'lmfdb_iso': '5184.m', 'p': 29, 'prec': 20, 'unit': 2590747920214101396083612136, 'val': 1}
  • id: 192047
    {'lmfdb_iso': '5184.m', 'p': 31, 'prec': 20, 'unit': 17040141514874850650483718704, 'val': 1}
  • id: 192048
    {'lmfdb_iso': '5184.m', 'p': 37, 'prec': 20, 'unit': 305401501487852155746631194230, 'val': 1}
  • id: 192049
    {'lmfdb_iso': '5184.m', 'p': 41, 'prec': 20, 'unit': 1627086088771416867642874767820, 'val': 1}
  • id: 192050
    {'lmfdb_iso': '5184.m', 'p': 43, 'prec': 20, 'unit': 3383162719786919301976287313042, 'val': 1}
  • id: 192051
    {'lmfdb_iso': '5184.m', 'p': 47, 'prec': 20, 'unit': 17817809615993187869410503315363, 'val': 1}
  • id: 192052
    {'lmfdb_iso': '5184.m', 'p': 53, 'prec': 20, 'unit': 181802234799759289487560720498710, 'val': 1}
  • id: 192053
    {'lmfdb_iso': '5184.m', 'p': 59, 'prec': 20, 'unit': 532513191975074188035307678601742, 'val': 1}
  • id: 192054
    {'lmfdb_iso': '5184.m', 'p': 61, 'prec': 20, 'unit': 4351999067483255381292176800368546, 'val': 1}
  • id: 192055
    {'lmfdb_iso': '5184.m', 'p': 67, 'prec': 20, 'unit': 30777500605939459569779054455457226, 'val': 1}
  • id: 192056
    {'lmfdb_iso': '5184.m', 'p': 71, 'prec': 20, 'unit': 12998191277624834864504961047121672, 'val': 1}
  • id: 192057
    {'lmfdb_iso': '5184.m', 'p': 73, 'prec': 20, 'unit': 244567605443364420851271680787701160, 'val': 1}
  • id: 192058
    {'lmfdb_iso': '5184.m', 'p': 79, 'prec': 20, 'unit': 911561655108317924806298025665598484, 'val': 1}
  • id: 192059
    {'lmfdb_iso': '5184.m', 'p': 83, 'prec': 20, 'unit': 245408675949452620498670385801207299, 'val': 1}
  • id: 192060
    {'lmfdb_iso': '5184.m', 'p': 89, 'prec': 20, 'unit': 6216184608257973375021297165675159370, 'val': 1}
  • id: 192061
    {'lmfdb_iso': '5184.m', 'p': 97, 'prec': 20, 'unit': 35938237928511673914088536757638695809, 'val': 1}