Elliptic curve data - 148720.be4

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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': '148720bu', 'Clabel': '148720bu4', 'Cnumber': 4, 'abc_quality': 1.1038914936992343, 'absD': 146010972250000000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 11440, 'ainvs': [0, 0, 0, -443963, -592412262], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 148720, 'degree': 4423680, 'elladic_images': ['4.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5505806428956262393164629883', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2, 4], 'jinv': [-1957960715364, 29541015625], 'lmfdb_iso': '148720.be', 'lmfdb_label': '148720.be4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -2627, 269646], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '40.24.0.w.1', '44.24.0.d.1', '52.24.0-4.d.1.1', '80.48.0.?', '440.48.1.?', '520.48.0.?', '572.48.0.?', '880.96.3.?', '1040.96.0.?', '5720.96.1.?', '11440.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.672770157827289808217279484', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 169], [3, 2, 29744], [5, 6, 29744], [11, 12, 13520], [13, 86, 880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.69048331369823678010869249963', 'prec': 103}, 'szpiro_ratio': 4.527572154546418, '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, 0, 0, -1, 0, 4, 0, -3, 0, -1, 0, 0, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, -1, 4, -1, 0, -6, 4, -4, -2, 8, 10, -10, 0, 4, -10, -4, -2, -8, 0, 14, 16, -8, 6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 148720, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '148720.be', 'trace_hash': 824031371524660834}
• 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': '0.0060896706097548881426520207898', 'prec': 110}, 'conductor': 148720, 'gens': [[3420339, 6284977842, 23]], 'heights': [{'__RealLiteral__': 0, 'data': '10.672770157827289808217279484', 'prec': 100}], 'lmfdb_label': '148720.be4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.078568266830393456680835551768', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7083284286370799314349935564528228787', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[1014, 0, 1]], 'xcoord_integral_points': [1014]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 3, 0], '5': [3, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '148720.be4'}
• ec_torsion_growth •

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

  
  
  • id: 6693377
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '148720.be4', 'torsion': [4]}
  • id: 6693376
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '148720.be4', 'torsion': [2, 2]}
  • id: 6693378
    {'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '148720.be4', 'torsion': [4]}
  • id: 6693379
    {'degree': 4, 'field': [9, 0, 7, 0, 1], 'lmfdb_label': '148720.be4', 'torsion': [2, 4]}
  • id: 6693383
    {'degree': 8, 'field': [-101690, 24416, -8270, 116, -86, -178, -2, -4, 1], 'lmfdb_label': '148720.be4', 'torsion': [6]}
  • id: 6693380
    {'degree': 8, 'field': [36, -156, 326, -366, 249, -82, 32, -4, 1], 'lmfdb_label': '148720.be4', 'torsion': [4, 4]}
  • id: 6693382
    {'degree': 8, 'field': [2401, 0, 588, 0, 3, 0, -12, 0, 1], 'lmfdb_label': '148720.be4', 'torsion': [8]}
  • id: 6693381
    {'degree': 8, 'field': [296839, 548, -868, 696, -487, 164, -50, -4, 1], 'lmfdb_label': '148720.be4', 'torsion': [8]}
  • id: 6693387
    {'degree': 16, 'field': [-7851, 43080, -83136, 184920, -331566, 224616, 23628, -74304, 7147, 5896, 220, -368, -242, 112, 4, -8, 1], 'lmfdb_label': '148720.be4', 'torsion': [12]}
  • id: 6693384
    {'degree': 16, 'field': [6561, 0, 0, 0, 7533, 0, 0, 0, 1528, 0, 0, 0, 93, 0, 0, 0, 1], 'lmfdb_label': '148720.be4', 'torsion': [2, 8]}
  • id: 6693386
    {'degree': 16, 'field': [49724497, -36402854, -57600766, 11711622, 28687130, 7288448, -1859378, -1095216, -147908, 25578, 18736, 2098, -670, -72, 8, -4, 1], 'lmfdb_label': '148720.be4', 'torsion': [2, 6]}
  • id: 6693388
    {'degree': 16, 'field': [93019189, -54421820, 71771324, -12237114, 11537258, 3368774, 2496178, -656112, 134164, -30792, 9802, -4082, 1106, -246, 68, -4, 1], 'lmfdb_label': '148720.be4', 'torsion': [12]}
  • id: 6693385
    {'degree': 16, 'field': [402403556, -237771704, 278295172, -82716680, 45575638, -5185280, 1949830, -220556, 100401, -40544, 18154, -5084, 544, 112, 4, -8, 1], 'lmfdb_label': '148720.be4', '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: 3677567
    {'conductor': 148720, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '148720.be4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3677568
    {'conductor': 148720, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '148720.be4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3677569
    {'conductor': 148720, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '148720.be4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3677570
    {'conductor': 148720, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '148720.be4', 'prime': 13, '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: 2628961
    {'adelic_gens': [[8799, 0, 0, 11439], [4577, 3536, 364, 8113], [11233, 10452, 11336, 8581], [1, 16, 0, 1], [5695, 8086, 5434, 1587], [1, 12, 4, 49], [1, 0, 16, 1], [5, 16, 64, 205], [11425, 16, 11424, 17], [2144, 5759, 1807, 2456]], 'adelic_image': '11440.192.3.?', 'conductor': 148720, 'lmfdb_label': '148720.be4', 'prime': 0}
  • id: 571335
    {'conductor': 148720, 'elladic_image': '4.12.0.9', 'lmfdb_label': '148720.be4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 148720.be does not appear in ec_padic