Elliptic curve data - 76230.ea1

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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': '76230ek', 'Clabel': '76230ek8', 'Cnumber': 8, 'abc_quality': 1.0394034516317685, 'absD': 13406684302365873576750, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [1, -1, 1, -7025162, 4510720811], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 76230, 'degree': 6635520, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9472797937691648765545370081', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 104, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [29689921233686449, 10380965400750], 'lmfdb_iso': '76230.ea', 'lmfdb_label': '76230.ea1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6451, 124931], 'min_quad_twist_disc': 33, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.48.0.bu.4', '33.8.0-3.a.1.2', '56.12.0.bb.1', '60.48.0.c.4', '66.24.0-6.a.1.2', '120.96.1.?', '132.48.0.?', '168.96.1.?', '220.12.0.?', '264.96.0.?', '660.96.0.?', '840.192.5.?', '1320.192.1.?', '1848.192.1.?', '3080.24.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.2499017828305745215071172808', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5445], [3, 8, 242], [5, 6, 15246], [7, 8, 10890], [11, 62, 630]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1990260130359247588259426007', 'prec': 100}, 'szpiro_ratio': 5.240277105737178, '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, 1, 0, 1, 1, 0, -1, 1, 0, 1, 0, 0, -2, -1, 0, 1, -6, 0, 4, 1], 'aplist': [1, 0, 1, -1, 0, -2, -6, 4, 0, -6, -4, 2, 6, -8, 12, -6, 12, -2, 8, 0, -14, 16, 12, -6, 14], 'class_deg': 12, 'class_size': 8, 'conductor': 76230, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '76230.ea', 'trace_hash': 2193227004272441969}
• 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': '0.0027543891432828470484607178919', 'prec': 110}, 'conductor': 76230, 'gens': [[36909, 1462729, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '7.2499017828305745215071172808', 'prec': 100}], 'lmfdb_label': '76230.ea1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11549616468221372053329101845', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.048030202876098654991921089022703930', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[8955, -8959, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '5': [2, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '76230.ea1'}
• ec_torsion_growth •

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

  
  
  • id: 3606269
    {'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '76230.ea1', 'torsion': [4]}
  • id: 3606268
    {'degree': 2, 'field': [-55, 0, 1], 'lmfdb_label': '76230.ea1', 'torsion': [4]}
  • id: 3606267
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '76230.ea1', 'torsion': [2, 2]}
  • id: 3606270
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '76230.ea1', 'torsion': [6]}
  • id: 3606273
    {'degree': 4, 'field': [9, -16, 17, -2, 1], 'lmfdb_label': '76230.ea1', 'torsion': [12]}
  • id: 3606274
    {'degree': 4, 'field': [15, -18, 19, -2, 1], 'lmfdb_label': '76230.ea1', 'torsion': [12]}
  • id: 3606271
    {'degree': 4, 'field': [81, 0, -48, 0, 1], 'lmfdb_label': '76230.ea1', 'torsion': [2, 4]}
  • id: 3606272
    {'degree': 4, 'field': [1059, 54, -53, -2, 1], 'lmfdb_label': '76230.ea1', 'torsion': [2, 6]}
  • id: 3606275
    {'degree': 6, 'field': [-326, -498, 186, 35, -21, -3, 1], 'lmfdb_label': '76230.ea1', 'torsion': [6]}
  • id: 3606279
    {'degree': 8, 'field': [13905, 3420, -3144, -540, 241, 32, -6, -4, 1], 'lmfdb_label': '76230.ea1', 'torsion': [2, 12]}
  • id: 3606276
    {'degree': 8, 'field': [20326, -55256, 55892, -1328, 805, -172, 62, -4, 1], 'lmfdb_label': '76230.ea1', 'torsion': [2, 4]}
  • id: 3606278
    {'degree': 8, 'field': [67600, 0, -8000, 0, 774, 0, 64, 0, 1], 'lmfdb_label': '76230.ea1', 'torsion': [8]}
  • id: 3606277
    {'degree': 8, 'field': [891136, 0, -132124, 0, 6696, 0, -139, 0, 1], 'lmfdb_label': '76230.ea1', 'torsion': [8]}
  • id: 3606281
    {'degree': 12, 'field': [-412106, 1821108, -1946418, 262360, -159570, 31428, -6219, -3366, 495, 220, -33, -6, 1], 'lmfdb_label': '76230.ea1', 'torsion': [2, 6]}
  • id: 3606283
    {'degree': 12, 'field': [2304, 0, 0, 0, 0, 0, -1554, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '76230.ea1', 'torsion': [12]}
  • id: 3606280
    {'degree': 12, 'field': [12321, -12987, 11691, -552, -1827, 2349, -296, -93, 105, -22, -3, -3, 1], 'lmfdb_label': '76230.ea1', 'torsion': [3, 6]}
  • id: 3606282
    {'degree': 12, 'field': [26244, 0, 0, 0, 0, 0, -21984, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '76230.ea1', 'torsion': [12]}
  • id: 3606289
    {'degree': 16, 'field': [467839, -2510224, 6136716, -7420904, 4194588, -778440, 642088, -439592, 260169, -117304, 41404, -10848, 2718, -448, 84, -8, 1], 'lmfdb_label': '76230.ea1', 'torsion': [24]}
  • id: 3606285
    {'degree': 16, 'field': [50694400, 0, -178835200, 0, 169103440, 0, -55279120, 0, 7407556, 0, -444184, 0, 13036, 0, -184, 0, 1], 'lmfdb_label': '76230.ea1', 'torsion': [2, 8]}
  • id: 3606287
    {'degree': 16, 'field': [303317056, 0, 35496192, 0, 20122768, 0, -372096, 0, 312705, 0, 2124, 0, -362, 0, 12, 0, 1], 'lmfdb_label': '76230.ea1', 'torsion': [2, 12]}
  • id: 3606286
    {'degree': 16, 'field': [859662400, 0, 954619520, 0, 1643598784, 0, -9886816, 0, -2460716, 0, 5888, 0, 4036, 0, 104, 0, 1], 'lmfdb_label': '76230.ea1', 'torsion': [2, 8]}
  • id: 3606288
    {'degree': 16, 'field': [1336315401, -226738116, 266557338, -81119592, 44938956, -7214856, 5873370, -3387096, 1387729, -397472, 117550, -22328, 5056, -644, 112, -8, 1], 'lmfdb_label': '76230.ea1', 'torsion': [24]}
  • id: 3606284
    {'degree': 16, 'field': [52767143521, 0, 1896716768, 0, -282815912, 0, -10959304, 0, 960430, 0, 2816, 0, -1352, 0, 8, 0, 1], 'lmfdb_label': '76230.ea1', 'torsion': [4, 4]}
  • id: 3606290
    {'degree': 18, 'field': [5989404975, 14679243900, 17170997130, 11719186371, 4642648065, 719127576, -249797668, -157037217, -23141694, 5872085, 2470803, 49731, -105951, -11289, 2805, 442, -51, -9, 1], 'lmfdb_label': '76230.ea1', 'torsion': [18]}
• 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: 1854301
    {'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '76230.ea1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1854302
    {'conductor': 76230, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '76230.ea1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1854303
    {'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '76230.ea1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1854304
    {'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '76230.ea1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1854305
    {'conductor': 76230, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '76230.ea1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 2167733
    {'adelic_gens': [[7602, 6919, 5357, 8372], [1, 12, 12, 145], [15, 106, 7934, 11], [6719, 0, 0, 9239], [5281, 4224, 5412, 4489], [9217, 24, 9216, 25], [2872, 1683, 4917, 6634], [6984, 121, 1375, 5334], [1, 24, 0, 1], [1486, 2541, 8745, 2146], [1, 0, 24, 1]], 'adelic_image': '9240.384.5.?', 'conductor': 76230, 'lmfdb_label': '76230.ea1', 'prime': 0}
  • id: 314962
    {'conductor': 76230, 'elladic_image': '4.6.0.1', 'lmfdb_label': '76230.ea1', 'modell_image': '2B', 'prime': 2}
  • id: 314963
    {'conductor': 76230, 'elladic_image': '3.4.0.1', 'lmfdb_label': '76230.ea1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 3924805
    {'lmfdb_iso': '76230.ea', 'p': 13, 'prec': 20, 'unit': 953428213982564864486, 'val': 1}
  • id: 3924807
    {'lmfdb_iso': '76230.ea', 'p': 17, 'prec': 20, 'unit': 146298782217723679233947, 'val': 1}
  • id: 3924808
    {'lmfdb_iso': '76230.ea', 'p': 19, 'prec': 20, 'unit': 795832126104234320087750, 'val': 1}
  • id: 3924804
    {'lmfdb_iso': '76230.ea', 'p': 29, 'prec': 20, 'unit': 4009909086939931638425289158, 'val': 1}
  • id: 3924815
    {'lmfdb_iso': '76230.ea', 'p': 31, 'prec': 20, 'unit': 20375884690182964105205117657, 'val': 1}
  • id: 3924801
    {'lmfdb_iso': '76230.ea', 'p': 37, 'prec': 20, 'unit': 9281224625372331798393903287, 'val': 1}
  • id: 3924802
    {'lmfdb_iso': '76230.ea', 'p': 41, 'prec': 20, 'unit': 4327321153780866986388870850213, 'val': 1}
  • id: 3924803
    {'lmfdb_iso': '76230.ea', 'p': 43, 'prec': 20, 'unit': 1455425097541481008581719328570, 'val': 1}
  • id: 3924813
    {'lmfdb_iso': '76230.ea', 'p': 47, 'prec': 20, 'unit': 25060260414798198637977895132420, 'val': 1}
  • id: 3924809
    {'lmfdb_iso': '76230.ea', 'p': 53, 'prec': 20, 'unit': 434366471937283505454065452491351, 'val': 1}
  • id: 3924810
    {'lmfdb_iso': '76230.ea', 'p': 59, 'prec': 20, 'unit': 1285583459041003522269277665352679, 'val': 1}
  • id: 3924814
    {'lmfdb_iso': '76230.ea', 'p': 61, 'prec': 20, 'unit': 5499274563510669305211994746846986, 'val': 1}
  • id: 3924800
    {'lmfdb_iso': '76230.ea', 'p': 67, 'prec': 20, 'unit': 6944041345910766295322292043755288, 'val': 1}
  • id: 3924811
    {'lmfdb_iso': '76230.ea', 'p': 73, 'prec': 20, 'unit': 49292157318097084993359689658298690, 'val': 1}
  • id: 3924806
    {'lmfdb_iso': '76230.ea', 'p': 79, 'prec': 20, 'unit': 447089502011216302592188589968233239, 'val': 1}
  • id: 3924799
    {'lmfdb_iso': '76230.ea', 'p': 83, 'prec': 20, 'unit': 441396771964685947388208881710285233, 'val': 1}
  • id: 3924812
    {'lmfdb_iso': '76230.ea', 'p': 89, 'prec': 20, 'unit': 9186245912045592910962504782514085249, 'val': 1}
  • id: 3924798
    {'lmfdb_iso': '76230.ea', 'p': 97, 'prec': 20, 'unit': 27769596172667321169048421503817229909, 'val': 1}