Elliptic curve data - 3075.b2

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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': '3075l', 'Clabel': '3075l2', 'Cnumber': 2, 'abc_quality': 1.0255775382943295, 'absD': 30548021748046875, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1230, 'ainvs': [0, 1, 1, 74792, 2979994], 'analytic_rank': 1, 'bad_primes': [3, 5, 41], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 3075, 'degree': 27000, 'elladic_images': ['5.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8519740143752035538873275443', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 1, 'isogeny_degrees': [1, 5], 'jinv': [4737871769600, 3128117427], 'lmfdb_iso': '3075.b', 'lmfdb_label': '3075.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, 2992, 22643], 'min_quad_twist_disc': 5, 'modell_images': ['5B.1.2'], 'modm_images': ['5.24.0-5.a.2.2', '246.2.0.?', '1230.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.56581350895665427658108617461', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51077575401345324172002809994', 'prec': 103}, 'szpiro_ratio': 5.63823296864359, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -2, 1, 2, 0, -2, -2, 0, 1, 0, -3, 2, 4, 4, 0, -4, -2, -2, 0, 0], 'aplist': [-2, 1, 0, -2, -3, 4, -2, 0, 4, -5, -3, 3, 1, 4, -7, -1, 0, 2, 8, -8, -6, 10, -6, -5, 8], 'class_deg': 5, 'class_size': 2, 'conductor': 3075, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '3075.b', 'trace_hash': 1263632110227177173}
• 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': '0.024626109705652584063735053467', 'prec': 107}, 'conductor': 3075, 'gens': [[44, 2521, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.56581350895665427658108617461', 'prec': 103}], 'lmfdb_label': '3075.b2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.23276873413639349326073892161', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9755554135566703678426961561157439540', 'prec': 130}, 'tamagawa_product': 15, 'torsion_generators': [], 'xcoord_integral_points': [44, 167, 3037]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 1, 0], '3': [2, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [3, 0], '41': [2, 0], '43': [1, 0], '47': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '3075.b2'}
• ec_torsion_growth •

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

  
  
  • id: 159325
    {'degree': 3, 'field': [27, 27, -1, 1], 'lmfdb_label': '3075.b2', 'torsion': [2]}
  • id: 159326
    {'degree': 4, 'field': [1, -1, 1, -1, 1], 'lmfdb_label': '3075.b2', 'torsion': [5]}
  • id: 159327
    {'degree': 5, 'field': [-3, 0, 0, 0, 0, 1], 'lmfdb_label': '3075.b2', 'torsion': [5]}
  • id: 159328
    {'degree': 6, 'field': [223, -267, 258, 17, -6, -3, 1], 'lmfdb_label': '3075.b2', 'torsion': [2, 2]}
  • id: 159329
    {'degree': 8, 'field': [-99, -111, 72, 77, -35, -7, 7, -4, 1], 'lmfdb_label': '3075.b2', 'torsion': [3]}
  • id: 159330
    {'degree': 12, 'field': [-729, 4374, -8046, 5940, -27135, 51084, -24704, -4, -695, -170, 34, -4, 1], 'lmfdb_label': '3075.b2', 'torsion': [4]}
  • id: 159331
    {'degree': 12, 'field': [241081, -159084, 92814, -52625, 16955, -6504, 2031, -366, 125, -35, 9, -1, 1], 'lmfdb_label': '3075.b2', 'torsion': [10]}
  • id: 159332
    {'degree': 15, 'field': [-84035, -120050, -162925, 145530, 89950, 40325, -38665, -11100, -2970, 4235, 650, 250, -120, 5, -5, 1], 'lmfdb_label': '3075.b2', 'torsion': [10]}
  • id: 159333
    {'degree': 20, 'field': [41, -25, -30, -20, -20, -1, 60, -155, 420, -560, 711, -780, 770, -645, 460, -281, 140, -60, 20, -5, 1], 'lmfdb_label': '3075.b2', 'torsion': [5, 5]}
• 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: 55052
    {'conductor': 3075, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3075.b2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 55053
    {'conductor': 3075, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '3075.b2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 55054
    {'conductor': 3075, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '3075.b2', 'prime': 41, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
• ec_galrep •

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

  
  
  • id: 1683927
    {'adelic_gens': [[1227, 1220, 1210, 671], [1221, 10, 1220, 11], [6, 13, 1175, 1111], [821, 10, 415, 51], [1, 0, 10, 1], [1, 10, 0, 1], [211, 10, 1055, 51]], 'adelic_image': '1230.48.1.?', 'conductor': 3075, 'lmfdb_label': '3075.b2', 'prime': 0}
  • id: 15308
    {'conductor': 3075, 'elladic_image': '5.24.0.3', 'lmfdb_label': '3075.b2', 'modell_image': '5B.1.2', 'prime': 5}
• ec_padic •

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

  
  
  • id: 100137
    {'lmfdb_iso': '3075.b', 'p': 7, 'prec': 20, 'unit': 1085317196008385, 'val': 1}
  • id: 100135
    {'lmfdb_iso': '3075.b', 'p': 11, 'prec': 20, 'unit': 58222442035076501016, 'val': 1}
  • id: 100141
    {'lmfdb_iso': '3075.b', 'p': 13, 'prec': 20, 'unit': 1291178042675664658561, 'val': 1}
  • id: 100143
    {'lmfdb_iso': '3075.b', 'p': 17, 'prec': 20, 'unit': 174093465419195857051633, 'val': 1}
  • id: 100146
    {'lmfdb_iso': '3075.b', 'p': 23, 'prec': 20, 'unit': 16383234558902783779398082, 'val': 1}
  • id: 100140
    {'lmfdb_iso': '3075.b', 'p': 29, 'prec': 20, 'unit': 3117801528534320335376238865, 'val': 1}
  • id: 100151
    {'lmfdb_iso': '3075.b', 'p': 31, 'prec': 20, 'unit': 14727995597840937861040706718, 'val': 1}
  • id: 100136
    {'lmfdb_iso': '3075.b', 'p': 37, 'prec': 20, 'unit': 12890109691324521783446984118, 'val': 2}
  • id: 100139
    {'lmfdb_iso': '3075.b', 'p': 43, 'prec': 20, 'unit': 10383074619300525092532433934383, 'val': 1}
  • id: 100142
    {'lmfdb_iso': '3075.b', 'p': 47, 'prec': 20, 'unit': 69776374460762186970431543857, 'val': 2}
  • id: 100145
    {'lmfdb_iso': '3075.b', 'p': 53, 'prec': 20, 'unit': 398444535322648420143902244127457, 'val': 1}
  • id: 100150
    {'lmfdb_iso': '3075.b', 'p': 61, 'prec': 20, 'unit': 7329348259959132148938523236185896, 'val': 1}
  • id: 100144
    {'lmfdb_iso': '3075.b', 'p': 67, 'prec': 20, 'unit': 7192347873373175921977518985855536, 'val': 1}
  • id: 100148
    {'lmfdb_iso': '3075.b', 'p': 71, 'prec': 20, 'unit': 111394495058960751411650631753639296, 'val': 1}
  • id: 100138
    {'lmfdb_iso': '3075.b', 'p': 73, 'prec': 20, 'unit': 101401198095574070123992075850993931, 'val': 1}
  • id: 100149
    {'lmfdb_iso': '3075.b', 'p': 79, 'prec': 20, 'unit': 285869101251724395524811952483650268, 'val': 1}
  • id: 100134
    {'lmfdb_iso': '3075.b', 'p': 83, 'prec': 20, 'unit': 2010069006838284803269295536881330847, 'val': 1}
  • id: 100147
    {'lmfdb_iso': '3075.b', 'p': 89, 'prec': 20, 'unit': 7921748020888042866348828993547756270, 'val': 1}
  • id: 100133
    {'lmfdb_iso': '3075.b', 'p': 97, 'prec': 20, 'unit': 11856145884100185200940726473873382097, 'val': 1}