Elliptic curve data - 184800.en4

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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': '184800fg', 'Clabel': '184800fg3', 'Cnumber': 3, 'abc_quality': 1.0019353040765246, 'absD': 13697167176000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, 1, 0, 59192, 1010888], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 184800, 'degree': 1179648, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7856352370460563600983988510', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 117, 'isogeny_degrees': [1, 2, 4], 'jinv': [2866919053816, 1712145897], 'lmfdb_iso': '184800.en', 'lmfdb_label': '184800.en4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 2368, 7140], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '40.12.0-4.c.1.5', '60.12.0-4.c.1.2', '88.12.0.?', '120.24.0.?', '264.24.0.?', '440.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3468769256245487195843961220', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 825], [3, 4, 61600], [5, 14, 7392], [7, 8, 26400], [11, 12, 16800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46105589540904719073509509329', 'prec': 103}, 'szpiro_ratio': 3.6760206937348707, '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, 0, 0, -1, 0, 1, 0, 1, 0, 2, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 1, 0, -1, 1, 2, -6, 0, 8, 6, 4, 2, 6, -8, 8, -2, -4, -2, -12, 0, -10, 0, 4, -14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 184800, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '184800.en', 'trace_hash': 1753054864895388484}
• 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': '0.028120105111281842275653723720', 'prec': 107}, 'conductor': 184800, 'gens': [[83, 2550, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.3468769256245487195843961220', 'prec': 100}], 'lmfdb_label': '184800.en4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.24275981001219581519542445435', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.7498464791858096516255836099015278428', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-17, 0, 1]], 'xcoord_integral_points': [-17, 83]}
• lmfdb_label 184800.en4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8155104
    {'degree': 2, 'field': [-110, 0, 1], 'lmfdb_label': '184800.en4', 'torsion': [4]}
  • id: 8155105
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '184800.en4', 'torsion': [4]}
  • id: 8155103
    {'degree': 2, 'field': [66, 0, 1], 'lmfdb_label': '184800.en4', 'torsion': [2, 2]}
  • id: 8155106
    {'degree': 4, 'field': [1936, 0, -22, 0, 1], 'lmfdb_label': '184800.en4', 'torsion': [2, 4]}
  • id: 8155110
    {'degree': 8, 'field': [-39366, -2916, 9396, 1368, -720, -492, -66, -4, 1], 'lmfdb_label': '184800.en4', 'torsion': [6]}
  • id: 8155109
    {'degree': 8, 'field': [5014, 9072, 7046, 1848, 183, -84, -34, 0, 1], 'lmfdb_label': '184800.en4', 'torsion': [8]}
  • id: 8155107
    {'degree': 8, 'field': [84681, 0, -1620, 0, 1482, 0, -60, 0, 1], 'lmfdb_label': '184800.en4', 'torsion': [2, 4]}
  • id: 8155108
    {'degree': 8, 'field': [428891, -39068, 39866, -1504, 523, 272, -86, -4, 1], 'lmfdb_label': '184800.en4', 'torsion': [8]}
  • id: 8155115
    {'degree': 16, 'field': [-1416388014, -5981590632, -2133746684, -1673184136, 141446560, 46494888, 111539628, 18351648, 8250304, 216764, 155920, -36168, 414, -960, 40, -4, 1], 'lmfdb_label': '184800.en4', 'torsion': [12]}
  • id: 8155116
    {'degree': 16, 'field': [15140836, -18649472, 20445552, -3338832, 910356, 1258440, -984596, 453976, -70695, -36240, 15432, -5088, 1394, -280, 60, -8, 1], 'lmfdb_label': '184800.en4', 'torsion': [12]}
  • id: 8155113
    {'degree': 16, 'field': [22905796, 0, 9030832, 0, 4458388, 0, 166240, 0, 28261, 0, 6340, 0, 598, 0, 28, 0, 1], 'lmfdb_label': '184800.en4', 'torsion': [2, 8]}
  • id: 8155111
    {'degree': 16, 'field': [32878756, 0, 34764464, 0, 11532748, 0, 1035776, 0, -46187, 0, -868, 0, 622, 0, -28, 0, 1], 'lmfdb_label': '184800.en4', 'torsion': [4, 4]}
  • id: 8155114
    {'degree': 16, 'field': [1803785841, 0, 405225612, 0, 1013619420, 0, 62965980, 0, -2287142, 0, -9460, 0, 1980, 0, 44, 0, 1], 'lmfdb_label': '184800.en4', 'torsion': [2, 6]}
  • id: 8155112
    {'degree': 16, 'field': [72748026451, -14974561884, 26419432262, -4514074112, 4157101121, -574147608, 371039198, -40499172, 20534434, -1721820, 719710, -44296, 15573, -640, 190, -4, 1], 'lmfdb_label': '184800.en4', 'torsion': [2, 8]}
• 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: 4572332
    {'conductor': 184800, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '184800.en4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4572333
    {'conductor': 184800, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '184800.en4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 4572334
    {'conductor': 184800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '184800.en4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4572335
    {'conductor': 184800, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '184800.en4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4572336
    {'conductor': 184800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '184800.en4', 'prime': 11, '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: 2851577
    {'adelic_gens': [[356, 265, 1255, 6], [496, 635, 1225, 726], [1, 0, 8, 1], [496, 635, 1155, 1156], [1, 8, 0, 1], [896, 795, 725, 266], [1, 4, 4, 17], [263, 0, 0, 1319], [1313, 8, 1312, 9], [7, 6, 1314, 1315]], 'adelic_image': '1320.48.0.?', 'conductor': 184800, 'lmfdb_label': '184800.en4', 'prime': 0}
  • id: 691135
    {'conductor': 184800, 'elladic_image': '4.6.0.1', 'lmfdb_label': '184800.en4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 184800.en does not appear in ec_padic