Elliptic curve data - 18200.c1

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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': '18200r', 'Clabel': '18200r1', 'Cnumber': 1, 'abc_quality': 0.8383701364735026, 'absD': 15606500000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, 1, 0, -11908, 458688], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 18200, 'degree': 55296, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2735062503151875529895126103', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [46689225424, 3901625], 'lmfdb_iso': '18200.c', 'lmfdb_label': '18200.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -476, 3860], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '130.6.0.?', '260.24.0.?', '280.12.0.?', '728.12.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.68682145555986982188123765062', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0066891737248404927443115293820', 'prec': 110}, 'szpiro_ratio': 4.054222356242192, '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, 6, 0, 1, 0, 0, 0, 2, 0, 2, 0], 'aplist': [0, -2, 0, -1, 6, 1, 2, 2, 2, 10, -6, -6, -2, -10, 0, -14, -2, 2, -8, -10, -2, 4, 4, -2, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 18200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '18200.c', 'trace_hash': 1161953581279594015}
• 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': '0.078315283721751246459128644555', 'prec': 107}, 'conductor': 18200, 'gens': [[38, 250, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.68682145555986982188123765062', 'prec': 103}], 'lmfdb_label': '18200.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.68181549631579453745411312460', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7462840928231125133878200420955847127', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[48, 0, 1]], 'xcoord_integral_points': [-1, 38, 48, 148, 538]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [2, 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, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '18200.c1'}
• ec_torsion_growth •

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

  
  
  • id: 929784
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '18200.c1', 'torsion': [2, 2]}
  • id: 929785
    {'degree': 4, 'field': [5, -2, -3, 0, 1], 'lmfdb_label': '18200.c1', 'torsion': [4]}
  • id: 929788
    {'degree': 8, 'field': [-726, -7560, -2382, -2582, -580, -122, -20, -4, 1], 'lmfdb_label': '18200.c1', 'torsion': [6]}
  • id: 929787
    {'degree': 8, 'field': [1, 0, -4, 0, -59, 0, -4, 0, 1], 'lmfdb_label': '18200.c1', 'torsion': [2, 4]}
  • id: 929786
    {'degree': 8, 'field': [196, -84, 18, -62, 29, -2, 8, -4, 1], 'lmfdb_label': '18200.c1', 'torsion': [2, 4]}
  • id: 929789
    {'degree': 16, 'field': [10960, -27440, 56520, -74200, 81816, -67172, 46690, -24430, 10721, -3270, 896, -210, 126, -70, 30, -8, 1], 'lmfdb_label': '18200.c1', 'torsion': [4, 4]}
  • id: 929790
    {'degree': 16, 'field': [711796, -2134648, 3178832, -3423984, 2191192, -489024, -18872, 29868, 6545, -10186, 10874, -6214, 1743, -414, 80, -8, 1], 'lmfdb_label': '18200.c1', 'torsion': [8]}
  • id: 929791
    {'degree': 16, 'field': [966188860, -712216960, -12790764, 80874752, 64088584, -107002560, 57081188, -13458614, 2140143, -699506, 152342, -11334, 2884, -574, 6, -4, 1], 'lmfdb_label': '18200.c1', '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: 408118
    {'conductor': 18200, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '18200.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 408119
    {'conductor': 18200, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '18200.c1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 408120
    {'conductor': 18200, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '18200.c1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 408121
    {'conductor': 18200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '18200.c1', 'prime': 13, '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: 1785308
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1821, 8, 4, 33], [1, 4, 4, 17], [3, 8, 28, 75], [3366, 1, 1983, 4], [2178, 3639, 2889, 3636], [911, 8, 1824, 33], [5, 8, 48, 77], [521, 8, 2084, 33], [3633, 8, 3632, 9]], 'adelic_image': '3640.48.0.?', 'conductor': 18200, 'lmfdb_label': '18200.c1', 'prime': 0}
  • id: 85051
    {'conductor': 18200, 'elladic_image': '4.6.0.3', 'lmfdb_label': '18200.c1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 835187
    {'lmfdb_iso': '18200.c', 'p': 11, 'prec': 20, 'unit': 213090138415791267, 'val': 1}
  • id: 835188
    {'lmfdb_iso': '18200.c', 'p': 17, 'prec': 20, 'unit': 17800128961549394869965, 'val': 1}
  • id: 835189
    {'lmfdb_iso': '18200.c', 'p': 19, 'prec': 20, 'unit': 1853946921843988287808991, 'val': 1}
  • id: 835192
    {'lmfdb_iso': '18200.c', 'p': 23, 'prec': 20, 'unit': 11316331538771287879137622, 'val': 1}
  • id: 835185
    {'lmfdb_iso': '18200.c', 'p': 29, 'prec': 20, 'unit': 4914204890685740131352411374, 'val': 1}
  • id: 835196
    {'lmfdb_iso': '18200.c', 'p': 31, 'prec': 20, 'unit': 1848182415080186481832409074, 'val': 1}
  • id: 835181
    {'lmfdb_iso': '18200.c', 'p': 37, 'prec': 20, 'unit': 223537330587300142202776965593, 'val': 1}
  • id: 835183
    {'lmfdb_iso': '18200.c', 'p': 41, 'prec': 20, 'unit': 835934973024672484426967341420, 'val': 1}
  • id: 835184
    {'lmfdb_iso': '18200.c', 'p': 43, 'prec': 20, 'unit': 6729220696372413073117496116582, 'val': 1}
  • id: 835190
    {'lmfdb_iso': '18200.c', 'p': 53, 'prec': 20, 'unit': 437970445684105090159632543009136, 'val': 1}
  • id: 835194
    {'lmfdb_iso': '18200.c', 'p': 59, 'prec': 20, 'unit': 4025291009922042771441826542235357, 'val': 1}
  • id: 835195
    {'lmfdb_iso': '18200.c', 'p': 61, 'prec': 20, 'unit': 1949045412367255990311787099965259, 'val': 1}
  • id: 835180
    {'lmfdb_iso': '18200.c', 'p': 67, 'prec': 20, 'unit': 10836507344912530449124073276184713, 'val': 1}
  • id: 835182
    {'lmfdb_iso': '18200.c', 'p': 71, 'prec': 20, 'unit': 123090001621998660225910983815852777, 'val': 1}
  • id: 835191
    {'lmfdb_iso': '18200.c', 'p': 73, 'prec': 20, 'unit': 150747162343698648251022777426929597, 'val': 1}
  • id: 835186
    {'lmfdb_iso': '18200.c', 'p': 79, 'prec': 20, 'unit': 675920502606010952487604426650239592, 'val': 1}
  • id: 835179
    {'lmfdb_iso': '18200.c', 'p': 83, 'prec': 20, 'unit': 236072061804843952432549140386147436, 'val': 1}
  • id: 835193
    {'lmfdb_iso': '18200.c', 'p': 89, 'prec': 20, 'unit': 4293761982018677891011712550303032624, 'val': 1}
  • id: 835178
    {'lmfdb_iso': '18200.c', 'p': 97, 'prec': 20, 'unit': 46951333780895761676942765461635468254, 'val': 1}