Elliptic curve data - 58800.ei2

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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': '58800fz', 'Clabel': '58800fz6', 'Cnumber': 6, 'abc_quality': 1.05504045380176, 'absD': 976641224902560000000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -2352980408, -43930644236688], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 58800, 'degree': 28311552, 'elladic_images': ['16.96.0.73'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9186770379202425415147103465', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 112, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [191342053882402567201, 129708022500], 'lmfdb_iso': '58800.ei', 'lmfdb_label': '58800.ei2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -120050, -16020000], 'min_quad_twist_disc': 140, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.l.1', '16.96.0-8.l.1.5', '24.96.1.ch.1', '48.192.1-24.ch.1.2', '80.192.2.?', '112.192.1.?', '140.24.0.?', '240.384.5.?', '280.96.0.?', '336.384.5.?', '560.384.5.?', '840.192.1.?', '1680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '31.389061422337407378624001481', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221867', 'prec': 100}, 'szpiro_ratio': 6.952391555221395, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, 1, 0, 4, 0, -2, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, -1, 0, 0, 4, -2, 2, 4, -8, -2, 0, -6, 6, -4, 0, 10, 12, -14, -12, 8, 10, -16, 12, -10, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 58800, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '58800.ei', 'trace_hash': 1747669706596302265}
• 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': '0.00039471203831846374569208723854', 'prec': 113}, 'conductor': 58800, 'gens': [[29189231058124042, 4986526928855861297063078, 87763]], 'heights': [{'__RealLiteral__': 0, 'data': '31.389061422337407378624001481', 'prec': 100}], 'lmfdb_label': '58800.ei2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.021676791212111059141856641434', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4433130463691021999125673055933040630', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-27988, 0, 1], [56012, 0, 1]], 'xcoord_integral_points': [-28023, -27988, 56012]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '58800.ei2'}
• ec_torsion_growth •

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

  
  
  • id: 2827228
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '58800.ei2', 'torsion': [2, 4]}
  • id: 2827231
    {'degree': 4, 'field': [119, -14, 15, -2, 1], 'lmfdb_label': '58800.ei2', 'torsion': [2, 8]}
  • id: 2827229
    {'degree': 4, 'field': [841, 0, -82, 0, 1], 'lmfdb_label': '58800.ei2', 'torsion': [2, 4]}
  • id: 2827230
    {'degree': 4, 'field': [1681, 0, -58, 0, 1], 'lmfdb_label': '58800.ei2', 'torsion': [2, 4]}
  • id: 2827236
    {'degree': 8, 'field': [-180075, 0, -6860, 0, 1470, 0, 0, 0, 1], 'lmfdb_label': '58800.ei2', 'torsion': [2, 6]}
  • id: 2827235
    {'degree': 8, 'field': [4761, 0, 21780, 0, -708, 0, -60, 0, 1], 'lmfdb_label': '58800.ei2', 'torsion': [2, 8]}
  • id: 2827234
    {'degree': 8, 'field': [6561, 0, 1377, 0, 208, 0, 17, 0, 1], 'lmfdb_label': '58800.ei2', 'torsion': [2, 8]}
  • id: 2827232
    {'degree': 8, 'field': [7785, -1980, 2484, -1044, 613, -112, 42, -4, 1], 'lmfdb_label': '58800.ei2', 'torsion': [4, 4]}
  • id: 2827233
    {'degree': 8, 'field': [370881, 0, -16380, 0, 1068, 0, -60, 0, 1], 'lmfdb_label': '58800.ei2', 'torsion': [2, 8]}
  • id: 2827241
    {'degree': 16, 'field': [57121, 0, -65004, 0, 35134, 0, -9032, 0, 1327, 0, -16, 0, 106, 0, 12, 0, 1], 'lmfdb_label': '58800.ei2', 'torsion': [2, 16]}
  • id: 2827240
    {'degree': 16, 'field': [134716, -39856, 274088, -433424, 746264, -596960, 497616, -251976, 155167, -48372, 24642, -4760, 1967, -224, 74, -4, 1], 'lmfdb_label': '58800.ei2', 'torsion': [2, 16]}
  • id: 2827237
    {'degree': 16, 'field': [7924225, 0, 3447920, 0, -120704, 0, -115912, 0, 19774, 0, 464, 0, -176, 0, 8, 0, 1], 'lmfdb_label': '58800.ei2', 'torsion': [4, 8]}
  • id: 2827239
    {'degree': 16, 'field': [9114361, 0, -3691264, 0, 1062088, 0, -127336, 0, 12838, 0, -352, 0, 232, 0, 8, 0, 1], 'lmfdb_label': '58800.ei2', 'torsion': [4, 8]}
  • id: 2827242
    {'degree': 16, 'field': [36905625, 0, 1093500, 0, 3389850, 0, -48600, 0, 63375, 0, 520, 0, -510, 0, 0, 0, 1], 'lmfdb_label': '58800.ei2', 'torsion': [2, 12]}
  • id: 2827238
    {'degree': 16, 'field': [43046721, 0, 0, 0, -833247, 0, 0, 0, 9568, 0, 0, 0, -127, 0, 0, 0, 1], 'lmfdb_label': '58800.ei2', 'torsion': [4, 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: 1415245
    {'conductor': 58800, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '58800.ei2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1415246
    {'conductor': 58800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '58800.ei2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1415247
    {'conductor': 58800, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '58800.ei2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1415248
    {'conductor': 58800, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '58800.ei2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2054053
    {'adelic_gens': [[1191, 1672, 524, 39], [327, 1664, 604, 1559], [1, 16, 0, 1], [1, 16, 6, 517], [1, 0, 16, 1], [1679, 1664, 1674, 113], [9, 16, 754, 345], [1, 16, 4, 65], [1665, 16, 1664, 17]], 'adelic_image': '1680.768.13.?', 'conductor': 58800, 'lmfdb_label': '58800.ei2', 'prime': 0}
  • id: 248893
    {'conductor': 58800, 'elladic_image': '16.96.0.73', 'lmfdb_label': '58800.ei2', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2984246
    {'lmfdb_iso': '58800.ei', 'p': 11, 'prec': 20, 'unit': 46135325798604389305, 'val': 1}
  • id: 2984244
    {'lmfdb_iso': '58800.ei', 'p': 13, 'prec': 20, 'unit': 930977330829232943819, 'val': 1}
  • id: 2984247
    {'lmfdb_iso': '58800.ei', 'p': 17, 'prec': 20, 'unit': 32324061504208758392716, 'val': 1}
  • id: 2984248
    {'lmfdb_iso': '58800.ei', 'p': 19, 'prec': 20, 'unit': 1875993275647001843519015, 'val': 1}
  • id: 2984251
    {'lmfdb_iso': '58800.ei', 'p': 23, 'prec': 20, 'unit': 11343655666660521607686526, 'val': 1}
  • id: 2984243
    {'lmfdb_iso': '58800.ei', 'p': 29, 'prec': 20, 'unit': 4959707855658292176749734739, 'val': 1}
  • id: 2984239
    {'lmfdb_iso': '58800.ei', 'p': 37, 'prec': 20, 'unit': 302146114712951954061463955088, 'val': 1}
  • id: 2984241
    {'lmfdb_iso': '58800.ei', 'p': 41, 'prec': 20, 'unit': 1003683327668540683341386257787, 'val': 1}
  • id: 2984242
    {'lmfdb_iso': '58800.ei', 'p': 43, 'prec': 20, 'unit': 6670572703217009413609989574651, 'val': 1}
  • id: 2984249
    {'lmfdb_iso': '58800.ei', 'p': 53, 'prec': 20, 'unit': 366279518313012628904775725238552, 'val': 1}
  • id: 2984253
    {'lmfdb_iso': '58800.ei', 'p': 59, 'prec': 20, 'unit': 2987452862704997371629699067750071, 'val': 1}
  • id: 2984254
    {'lmfdb_iso': '58800.ei', 'p': 61, 'prec': 20, 'unit': 5873629954918317318617625899932169, 'val': 1}
  • id: 2984238
    {'lmfdb_iso': '58800.ei', 'p': 67, 'prec': 20, 'unit': 21593275070390589762312231254334987, 'val': 1}
  • id: 2984240
    {'lmfdb_iso': '58800.ei', 'p': 71, 'prec': 20, 'unit': 88887474471439397406090752859032542, 'val': 1}
  • id: 2984250
    {'lmfdb_iso': '58800.ei', 'p': 73, 'prec': 20, 'unit': 73367400579364164049184204631797250, 'val': 1}
  • id: 2984245
    {'lmfdb_iso': '58800.ei', 'p': 79, 'prec': 20, 'unit': 821918813168894990550283176368624186, 'val': 1}
  • id: 2984237
    {'lmfdb_iso': '58800.ei', 'p': 83, 'prec': 20, 'unit': 1179983192953564728340475030054316862, 'val': 1}
  • id: 2984252
    {'lmfdb_iso': '58800.ei', 'p': 89, 'prec': 20, 'unit': 10551714553441466385561663430059650835, 'val': 1}
  • id: 2984236
    {'lmfdb_iso': '58800.ei', 'p': 97, 'prec': 20, 'unit': 1133108866347329913054521969709901093, 'val': 1}