Elliptic curve data - 1920.e1

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

  
  {'Ciso': '1920a', 'Clabel': '1920a2', 'Cnumber': 2, 'abc_quality': 0.9097601996353145, 'absD': 3317760, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 240, 'ainvs': [0, -1, 0, -41, -39], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1920, 'degree': 256, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.052094348782134894230869494968', 'prec': 110}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [953312, 405], 'lmfdb_iso': '1920.e', 'lmfdb_label': '1920.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -41, -39], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '24.12.0-4.b.1.1', '40.12.0.p.1', '80.24.0.?', '120.24.0.?', '240.48.0.?'], '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': '1.2941682201660915680469823145', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5], [3, 4, 640], [5, 6, 384]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80300379438874231276620429321', 'prec': 107}, 'szpiro_ratio': 3.013011695963303, '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, -1, 0, 2, 0, 1, 0, -2, 0, -2, 0, 1, 0, -2, 0, 2, 0], 'aplist': [0, -1, -1, 2, -2, -2, -2, 2, 2, -6, 4, 2, -10, -8, 2, 6, 2, -10, 8, -8, -6, 16, -12, -10, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 1920, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1920.e', 'trace_hash': 1114811513750275574}
• 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': '1.1098098535746248869800324523', 'prec': 100}, 'conductor': 1920, 'gens': [[8, 9, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2941682201660915680469823145', 'prec': 100}], 'lmfdb_label': '1920.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.9560870028882363354219270048', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5315056350178932346983474171772678938', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-1, 0, 1]], 'xcoord_integral_points': [-5, -1, 8]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1920.e1'}
• ec_torsion_growth •

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

  
  
  • id: 96705
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '1920.e1', 'torsion': [2, 2]}
  • id: 96706
    {'degree': 4, 'field': [10, 0, -2, 0, 1], 'lmfdb_label': '1920.e1', 'torsion': [4]}
  • id: 96709
    {'degree': 8, 'field': [-1083, 0, 664, 0, -114, 0, 0, 0, 1], 'lmfdb_label': '1920.e1', 'torsion': [6]}
  • id: 96708
    {'degree': 8, 'field': [81, 0, -108, 0, -106, 0, -12, 0, 1], 'lmfdb_label': '1920.e1', 'torsion': [2, 4]}
  • id: 96707
    {'degree': 8, 'field': [81, 0, 0, 0, 22, 0, 0, 0, 1], 'lmfdb_label': '1920.e1', 'torsion': [2, 4]}
  • id: 96710
    {'degree': 16, 'field': [81, -792, 3872, -8488, 11572, -12200, 10848, -7944, 4690, -2456, 1248, -520, 172, -72, 32, -8, 1], 'lmfdb_label': '1920.e1', 'torsion': [4, 4]}
  • id: 96711
    {'degree': 16, 'field': [10000, 0, -4000, 0, -4400, 0, -1600, 0, 3340, 0, -160, 0, -44, 0, -4, 0, 1], 'lmfdb_label': '1920.e1', 'torsion': [8]}
  • id: 96712
    {'degree': 16, 'field': [8337775, -12356040, 6274336, -1964696, -1197836, -1066640, 295044, 464152, -2982, -65432, -5640, 4048, 784, -104, -44, 0, 1], 'lmfdb_label': '1920.e1', '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: 31065
    {'conductor': 1920, 'conductor_valuation': 7, 'discriminant_valuation': 13, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '1920.e1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 31066
    {'conductor': 1920, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '1920.e1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 31067
    {'conductor': 1920, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1920.e1', 'prime': 5, '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: 1676462
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [114, 239, 157, 236], [5, 8, 48, 77], [233, 8, 232, 9], [143, 234, 218, 221], [1, 4, 4, 17], [102, 1, 71, 4], [161, 8, 164, 33], [3, 8, 28, 75]], 'adelic_image': '240.48.0.?', 'conductor': 1920, 'lmfdb_label': '1920.e1', 'prime': 0}
  • id: 9336
    {'conductor': 1920, 'elladic_image': '4.6.0.3', 'lmfdb_label': '1920.e1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 54893
    {'lmfdb_iso': '1920.e', 'p': 7, 'prec': 20, 'unit': 3568737345825387, 'val': 1}
  • id: 54894
    {'lmfdb_iso': '1920.e', 'p': 11, 'prec': 20, 'unit': 50340761960770434576, 'val': 1}
  • id: 54895
    {'lmfdb_iso': '1920.e', 'p': 13, 'prec': 20, 'unit': 1174718960538747325006, 'val': 1}
  • id: 54896
    {'lmfdb_iso': '1920.e', 'p': 17, 'prec': 20, 'unit': 6616718520653473949095, 'val': 1}
  • id: 54897
    {'lmfdb_iso': '1920.e', 'p': 19, 'prec': 20, 'unit': 49036858082907348703805, 'val': 1}
  • id: 54898
    {'lmfdb_iso': '1920.e', 'p': 23, 'prec': 20, 'unit': 1039365441311745330380828, 'val': 2}
  • id: 54899
    {'lmfdb_iso': '1920.e', 'p': 29, 'prec': 20, 'unit': 1102615527646551041160986556, 'val': 1}
  • id: 54900
    {'lmfdb_iso': '1920.e', 'p': 31, 'prec': 20, 'unit': 19463495721907450666518288112, 'val': 1}
  • id: 54901
    {'lmfdb_iso': '1920.e', 'p': 37, 'prec': 20, 'unit': 484642698185188769359865819100, 'val': 1}
  • id: 54902
    {'lmfdb_iso': '1920.e', 'p': 41, 'prec': 20, 'unit': 2015090042742063128330660755711, 'val': 1}
  • id: 54903
    {'lmfdb_iso': '1920.e', 'p': 43, 'prec': 20, 'unit': 894548707722955638214447179571, 'val': 1}
  • id: 54904
    {'lmfdb_iso': '1920.e', 'p': 47, 'prec': 20, 'unit': 15618427442259995143854261225614, 'val': 1}
  • id: 54905
    {'lmfdb_iso': '1920.e', 'p': 53, 'prec': 20, 'unit': 488240303121834757508512431405178, 'val': 1}
  • id: 54906
    {'lmfdb_iso': '1920.e', 'p': 59, 'prec': 20, 'unit': 3822593837340235720825792793597016, 'val': 1}
  • id: 54907
    {'lmfdb_iso': '1920.e', 'p': 61, 'prec': 20, 'unit': 5402494492322566215826051495629469, 'val': 1}
  • id: 54908
    {'lmfdb_iso': '1920.e', 'p': 67, 'prec': 20, 'unit': 49075224972698185099537904129508088, 'val': 1}
  • id: 54909
    {'lmfdb_iso': '1920.e', 'p': 71, 'prec': 20, 'unit': 112661556421447363188777184944153535, 'val': 1}
  • id: 54910
    {'lmfdb_iso': '1920.e', 'p': 73, 'prec': 20, 'unit': 146469291745750080741269219898850301, 'val': 1}
  • id: 54911
    {'lmfdb_iso': '1920.e', 'p': 79, 'prec': 20, 'unit': 1116700862111382439273699072249402459, 'val': 1}
  • id: 54912
    {'lmfdb_iso': '1920.e', 'p': 83, 'prec': 20, 'unit': 132420255197681304918454732386663118, 'val': 1}
  • id: 54913
    {'lmfdb_iso': '1920.e', 'p': 89, 'prec': 20, 'unit': 5344824244600497342662515330605742604, 'val': 1}
  • id: 54914
    {'lmfdb_iso': '1920.e', 'p': 97, 'prec': 20, 'unit': 26666639521979021258324770435827538669, 'val': 1}