Elliptic curve data - 1850.m1

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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': '1850k', 'Clabel': '1850k1', 'Cnumber': 1, 'abc_quality': 0.8516436474752735, 'absD': 68450, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8, 'ainvs': [1, 0, 0, -3, -13], 'analytic_rank': 1, 'bad_primes': [2, 5, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 1850, 'degree': 192, 'elladic_images': ['8.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.39139985922221508672737444821', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1], 'jinv': [-121945, 2738], 'lmfdb_iso': '1850.m', 'lmfdb_label': '1850.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3, -13], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['8.2.0.a.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4493794213936244159169100521', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.65963951129456514916083433708', 'prec': 107}, 'szpiro_ratio': 2.474301835038527, '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, 1, 1, 1, 0, 1, -4, 1, -2, 0, 3, 1, -6, -4, 0, 1, -3, -2, -3, 0], 'aplist': [1, 1, 0, -4, 3, -6, -3, -3, -2, 0, 0, 1, -3, 4, -4, 2, -12, 12, -9, -2, 9, -2, 7, -3, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 1850, 'isogeny_matrix': [[1]], 'lmfdb_iso': '1850.m', 'trace_hash': 950590029785055198}
• 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': '2.1875883312719808546393440031', 'prec': 100}, 'conductor': 1850, 'gens': [[19, 55, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4493794213936244159169100521', 'prec': 100}], 'lmfdb_label': '1850.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.5011184556692405062406279268', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3513803974423496955593740405600940545', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [3, 1, 0], '31': [1, 1, 0], '37': [2, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1850.m1'}
• ec_torsion_growth •

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

  
  
  • id: 94049
    {'degree': 3, 'field': [2, 2, -1, 1], 'lmfdb_label': '1850.m1', 'torsion': [2]}
  • id: 94050
    {'degree': 6, 'field': [2, 0, -3, 0, 4, 0, 1], 'lmfdb_label': '1850.m1', 'torsion': [2, 2]}
  • id: 94051
    {'degree': 8, 'field': [-594, 1404, -1458, 107, -50, -7, 7, -4, 1], 'lmfdb_label': '1850.m1', 'torsion': [3]}
  • id: 94052
    {'degree': 12, 'field': [-22624, -5616, 57844, -47120, 13890, -7096, 4266, -824, 85, -20, 4, -4, 1], 'lmfdb_label': '1850.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: 29958
    {'conductor': 1850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1850.m1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 29959
    {'conductor': 1850, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '1850.m1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 29960
    {'conductor': 1850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1850.m1', 'prime': 37, '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: 1676091
    {'adelic_gens': [[5, 2, 5, 3], [1, 2, 0, 1], [7, 2, 6, 3], [1, 0, 2, 1], [1, 1, 7, 0], [7, 2, 7, 3]], 'adelic_image': '8.2.0.?', 'conductor': 1850, 'lmfdb_label': '1850.m1', 'prime': 0}
  • id: 9069
    {'conductor': 1850, 'elladic_image': '8.2.0.1', 'lmfdb_label': '1850.m1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

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

  
  
  • id: 52523
    {'lmfdb_iso': '1850.m', 'p': 7, 'prec': 20, 'unit': 9405891724313487, 'val': 1}
  • id: 52528
    {'lmfdb_iso': '1850.m', 'p': 11, 'prec': 20, 'unit': 8550020083849116105, 'val': 1}
  • id: 52526
    {'lmfdb_iso': '1850.m', 'p': 13, 'prec': 20, 'unit': 821461515790115624440, 'val': 1}
  • id: 52529
    {'lmfdb_iso': '1850.m', 'p': 17, 'prec': 20, 'unit': 146171985492094559948127, 'val': 1}
  • id: 52530
    {'lmfdb_iso': '1850.m', 'p': 19, 'prec': 20, 'unit': 1254625355942541684247118, 'val': 1}
  • id: 52534
    {'lmfdb_iso': '1850.m', 'p': 23, 'prec': 20, 'unit': 9154638214967690700362433, 'val': 1}
  • id: 52524
    {'lmfdb_iso': '1850.m', 'p': 41, 'prec': 20, 'unit': 3227735654171682299694345589122, 'val': 1}
  • id: 52525
    {'lmfdb_iso': '1850.m', 'p': 43, 'prec': 20, 'unit': 7449131393850825150865826791583, 'val': 1}
  • id: 52537
    {'lmfdb_iso': '1850.m', 'p': 47, 'prec': 20, 'unit': 18516459377661978223616326696049, 'val': 1}
  • id: 52531
    {'lmfdb_iso': '1850.m', 'p': 53, 'prec': 20, 'unit': 83008847271979179673350576631623, 'val': 1}
  • id: 52532
    {'lmfdb_iso': '1850.m', 'p': 59, 'prec': 20, 'unit': 48367223682155710255041799902205, 'val': 2}
  • id: 52538
    {'lmfdb_iso': '1850.m', 'p': 61, 'prec': 20, 'unit': 544707906856243051912453933516641, 'val': 1}
  • id: 52522
    {'lmfdb_iso': '1850.m', 'p': 67, 'prec': 20, 'unit': 43023883758645673328813896600196892, 'val': 1}
  • id: 52536
    {'lmfdb_iso': '1850.m', 'p': 71, 'prec': 20, 'unit': 54389224784825045294210830194792060, 'val': 1}
  • id: 52533
    {'lmfdb_iso': '1850.m', 'p': 73, 'prec': 20, 'unit': 152632362921845318985441973471031509, 'val': 1}
  • id: 52527
    {'lmfdb_iso': '1850.m', 'p': 79, 'prec': 20, 'unit': 63555437763259805378148481616201450, 'val': 1}
  • id: 52521
    {'lmfdb_iso': '1850.m', 'p': 83, 'prec': 20, 'unit': 446848630588688363551293221131246108, 'val': 1}
  • id: 52535
    {'lmfdb_iso': '1850.m', 'p': 89, 'prec': 20, 'unit': 3297411415313820244642474673607701706, 'val': 1}
  • id: 52520
    {'lmfdb_iso': '1850.m', 'p': 97, 'prec': 20, 'unit': 47416266788430730990706067109372418169, 'val': 1}