Elliptic curve data - 1890.c3

Formats: - HTML - YAML - JSON - 2024-06-03T23:13:45.458713

• 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': '1890g', 'Clabel': '1890g3', 'Cnumber': 3, 'abc_quality': 1.0465231013114555, 'absD': 31109847552000000000, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 1260, 'ainvs': [1, -1, 0, 567525, 211833125], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 1890, 'degree': 58320, 'elladic_images': ['9.72.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4256419568433909421888978221', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 2, 'isogeny_degrees': [1, 3, 9], 'jinv': [114115456478544693, 175616000000000], 'lmfdb_iso': '1890.c', 'lmfdb_label': '1890.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 567525, 211833125], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '9.72.0-9.d.1.1', '420.16.0.?', '1260.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5516548612354574251897021182', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4185806922309570584099230216', 'prec': 100}, 'szpiro_ratio': 6.874976161670063, '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, 0, 1, -1, 0, 1, -1, 0, 1, -3, 0, 5, -1, 0, 1, 0, 0, -7, -1], 'aplist': [-1, 0, -1, 1, -3, 5, 0, -7, -6, 6, -4, 2, 3, -1, -3, -9, -6, 8, -13, 0, -7, 8, -3, -9, -10], 'class_deg': 9, 'class_size': 3, 'conductor': 1890, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '1890.c', 'trace_hash': 1206572060071111264}
• 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': '0.0078183330376677674150874502996', 'prec': 110}, 'conductor': 1890, 'gens': [[182, 17829, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5516548612354574251897021182', 'prec': 100}], 'lmfdb_label': '1890.c3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14185779949044852525981862590', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1718328620438066485635731899634982381', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [182]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': 'a', '5': [1, 0], '7': [4, 0], '11': [1, 0], '13': [1, 0], '17': [1, 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': '1890.c3'}
• ec_torsion_growth •

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

  
  
  • id: 95625
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '1890.c3', 'torsion': [9]}
  • id: 95626
    {'degree': 3, 'field': [-12, -3, 0, 1], 'lmfdb_label': '1890.c3', 'torsion': [2]}
  • id: 95627
    {'degree': 3, 'field': [-3, 0, 0, 1], 'lmfdb_label': '1890.c3', 'torsion': [3]}
  • id: 95629
    {'degree': 6, 'field': [3, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '1890.c3', 'torsion': [3, 9]}
  • id: 95630
    {'degree': 6, 'field': [144, -36, 9, -24, 3, 0, 1], 'lmfdb_label': '1890.c3', 'torsion': [18]}
  • id: 95628
    {'degree': 6, 'field': [1680, 0, 456, 0, 33, 0, 1], 'lmfdb_label': '1890.c3', 'torsion': [2, 2]}
  • id: 95631
    {'degree': 9, 'field': [-64, 0, 0, 45, 0, 0, -12, 0, 0, 1], 'lmfdb_label': '1890.c3', 'torsion': [6]}
  • id: 95632
    {'degree': 12, 'field': [-5145, 0, -7488, 0, -4125, 0, -960, 0, -75, 0, 0, 0, 1], 'lmfdb_label': '1890.c3', 'torsion': [4]}
  • id: 95633
    {'degree': 12, 'field': [196, -588, 1050, -1246, 1047, -456, 35, 90, -18, -26, 21, -6, 1], 'lmfdb_label': '1890.c3', 'torsion': [2, 18]}
  • id: 95635
    {'degree': 18, 'field': [14884, -26352, 3834, 14220, 6165, -21483, 9411, 954, 1332, -4076, 2646, -648, 72, -198, 234, -132, 45, -9, 1], 'lmfdb_label': '1890.c3', 'torsion': [3, 18]}
  • id: 95636
    {'degree': 18, 'field': [74088000, 0, 0, 0, 0, 0, 739881, 0, 0, 0, 0, 0, 1098, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '1890.c3', 'torsion': [2, 6]}
  • id: 95634
    {'degree': 18, 'field': [885842380864, 0, 0, 37632620928, 0, 0, 254121840, 0, 0, -16903040, 0, 0, 167580, 0, 0, -672, 0, 0, 1], 'lmfdb_label': '1890.c3', 'torsion': [27]}
• 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: 30592
    {'conductor': 1890, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '1890.c3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 30593
    {'conductor': 1890, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '1890.c3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 30594
    {'conductor': 1890, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '1890.c3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 30595
    {'conductor': 1890, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1890.c3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1676303
    {'adelic_gens': [[757, 18, 513, 163], [1, 18, 0, 1], [1, 18, 10, 181], [10, 9, 81, 73], [619, 1242, 297, 1205], [1243, 18, 1242, 19], [1, 0, 18, 1], [631, 18, 639, 163], [1081, 18, 909, 163]], 'adelic_image': '1260.144.3.?', 'conductor': 1890, 'lmfdb_label': '1890.c3', 'prime': 0}
  • id: 9224
    {'conductor': 1890, 'elladic_image': '9.72.0.11', 'lmfdb_label': '1890.c3', 'modell_image': '3B.1.2', 'prime': 3}
• ec_padic •

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

  
  
  • id: 54056
    {'lmfdb_iso': '1890.c', 'p': 11, 'prec': 20, 'unit': 34271563567527296357, 'val': 1}
  • id: 54061
    {'lmfdb_iso': '1890.c', 'p': 13, 'prec': 20, 'unit': 1336693037303431270716, 'val': 1}
  • id: 54064
    {'lmfdb_iso': '1890.c', 'p': 19, 'prec': 20, 'unit': 308744224639925927113893, 'val': 1}
  • id: 54067
    {'lmfdb_iso': '1890.c', 'p': 23, 'prec': 20, 'unit': 45956286392012181737536526, 'val': 1}
  • id: 54060
    {'lmfdb_iso': '1890.c', 'p': 29, 'prec': 20, 'unit': 1816151782166100700298780774, 'val': 1}
  • id: 54072
    {'lmfdb_iso': '1890.c', 'p': 31, 'prec': 20, 'unit': 6382053610953548416943583171, 'val': 1}
  • id: 54057
    {'lmfdb_iso': '1890.c', 'p': 37, 'prec': 20, 'unit': 335691934433405923161767468311, 'val': 1}
  • id: 54058
    {'lmfdb_iso': '1890.c', 'p': 41, 'prec': 20, 'unit': 2758849716918713595077699552807, 'val': 1}
  • id: 54059
    {'lmfdb_iso': '1890.c', 'p': 43, 'prec': 20, 'unit': 1536099898262696573677713858483, 'val': 1}
  • id: 54069
    {'lmfdb_iso': '1890.c', 'p': 47, 'prec': 20, 'unit': 27849493327535229316251779334295, 'val': 1}
  • id: 54065
    {'lmfdb_iso': '1890.c', 'p': 53, 'prec': 20, 'unit': 218874624955894142604282559537866, 'val': 1}
  • id: 54063
    {'lmfdb_iso': '1890.c', 'p': 59, 'prec': 20, 'unit': 3392322257758325851152690094697017, 'val': 1}
  • id: 54070
    {'lmfdb_iso': '1890.c', 'p': 61, 'prec': 20, 'unit': 3751140117263728391198596780766426, 'val': 1}
  • id: 54055
    {'lmfdb_iso': '1890.c', 'p': 67, 'prec': 20, 'unit': 582695264504064139840390465583923, 'val': 2}
  • id: 54066
    {'lmfdb_iso': '1890.c', 'p': 73, 'prec': 20, 'unit': 216063091418241402540916550608835086, 'val': 1}
  • id: 54062
    {'lmfdb_iso': '1890.c', 'p': 79, 'prec': 20, 'unit': 566138607328586325239892258079771054, 'val': 1}
  • id: 54071
    {'lmfdb_iso': '1890.c', 'p': 83, 'prec': 20, 'unit': 2642271350054215745404366081694412820, 'val': 1}
  • id: 54068
    {'lmfdb_iso': '1890.c', 'p': 89, 'prec': 20, 'unit': 10862863755050709317908361531458225447, 'val': 1}
  • id: 54054
    {'lmfdb_iso': '1890.c', 'p': 97, 'prec': 20, 'unit': 37342743847671505161231038243013787171, 'val': 1}