Elliptic curve data - 1230.h1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '1230h', 'Clabel': '1230h3', 'Cnumber': 3, 'abc_quality': 0.988826521190976, 'absD': 155072250000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2460, 'ainvs': [1, 0, 0, -12756, -555264], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 41], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1230, 'degree': 3456, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0853857186453301806022987772', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [229545811016693569, 155072250000], 'lmfdb_iso': '1230.h', 'lmfdb_label': '1230.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -12756, -555264], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '20.6.0.b.1', '60.48.0-60.p.1.15', '82.6.0.?', '246.48.0.?', '820.12.0.?', '2460.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0432554227845851210109210590', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 41], [3, 4, 2], [5, 6, 246], [41, 42, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0853857186453301806022987772', 'prec': 100}, 'szpiro_ratio': 5.6185768642078395, '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, 1, 1, -1, 1, -4, 1, 1, -1, -6, 1, -4, -4, -1, 1, 0, 1, 2, -1], 'aplist': [1, 1, -1, -4, -6, -4, 0, 2, 0, -6, -4, 2, -1, -4, 0, 12, 0, 2, 8, -6, 2, -10, -12, 6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 1230, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '1230.h', 'trace_hash': 13766460658289131}
• 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': '0.11408957000509244889627898139', 'prec': 103}, 'conductor': 1230, 'gens': [[-66, 48, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0432554227845851210109210590', 'prec': 100}], 'lmfdb_label': '1230.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.44925028448419674691554444221', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6717323198394102610646886949495519633', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-64, 32, 1]], 'xcoord_integral_points': [-66, -64, 186]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [2, 1], '5': [1, 0], '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 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, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '1230.h1'}
• ec_torsion_growth •

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

  
  
  • id: 61225
    {'degree': 2, 'field': [-10, -1, 1], 'lmfdb_label': '1230.h1', 'torsion': [2, 2]}
  • id: 61226
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '1230.h1', 'torsion': [6]}
  • id: 61227
    {'degree': 3, 'field': [-12, 0, 0, 1], 'lmfdb_label': '1230.h1', 'torsion': [6]}
  • id: 61228
    {'degree': 4, 'field': [21, -2, -2, -2, 1], 'lmfdb_label': '1230.h1', 'torsion': [4]}
  • id: 61229
    {'degree': 4, 'field': [100, 10, 11, -1, 1], 'lmfdb_label': '1230.h1', 'torsion': [2, 6]}
  • id: 61231
    {'degree': 6, 'field': [-484, -1056, 306, 35, -27, -3, 1], 'lmfdb_label': '1230.h1', 'torsion': [2, 6]}
  • id: 61230
    {'degree': 6, 'field': [12, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '1230.h1', 'torsion': [3, 6]}
  • id: 61233
    {'degree': 8, 'field': [64, 0, 321, 0, -130, 0, 6, 0, 1], 'lmfdb_label': '1230.h1', 'torsion': [2, 4]}
  • id: 61234
    {'degree': 8, 'field': [441, -42, 46, 88, -21, 8, 6, -2, 1], 'lmfdb_label': '1230.h1', 'torsion': [12]}
  • id: 61232
    {'degree': 8, 'field': [576, -1056, 1256, -824, 298, -42, -1, -2, 1], 'lmfdb_label': '1230.h1', 'torsion': [2, 4]}
  • id: 61236
    {'degree': 12, 'field': [20736, 0, 0, 864, 0, 0, 846, 0, 0, -6, 0, 0, 1], 'lmfdb_label': '1230.h1', 'torsion': [12]}
  • id: 61235
    {'degree': 12, 'field': [1035676, 560328, -406620, -287440, 95280, 53988, -11275, -5406, 915, 280, -45, -6, 1], 'lmfdb_label': '1230.h1', 'torsion': [6, 6]}
  • id: 61239
    {'degree': 16, 'field': [4096, 0, -4800, 0, 3449, 0, -1782, 0, 642, 0, -54, 0, 2, 0, -6, 0, 1], 'lmfdb_label': '1230.h1', 'torsion': [2, 12]}
  • id: 61238
    {'degree': 16, 'field': [121801, -391578, 807367, -1246542, 1595225, -1309992, 745974, -325908, 121130, -38220, 9462, -1848, 401, -114, 31, -6, 1], 'lmfdb_label': '1230.h1', 'torsion': [2, 12]}
  • id: 61237
    {'degree': 16, 'field': [2452356, 0, -1355616, 0, 321732, 0, -63468, 0, 19125, 0, -4292, 0, 462, 0, -24, 0, 1], 'lmfdb_label': '1230.h1', 'torsion': [8]}
  • id: 61240
    {'degree': 18, 'field': [58773123072, 0, 0, -9296674560, 0, 0, 363368592, 0, 0, 730620, 0, 0, 93459, 0, 0, -615, 0, 0, 1], 'lmfdb_label': '1230.h1', '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: 18191
    {'conductor': 1230, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '1230.h1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 18192
    {'conductor': 1230, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1230.h1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 18193
    {'conductor': 1230, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1230.h1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 18194
    {'conductor': 1230, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1230.h1', 'prime': 41, '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: 1672312
    {'adelic_gens': [[2110, 3, 453, 2452], [1477, 12, 1482, 73], [2449, 12, 2448, 13], [1, 0, 12, 1], [1, 6, 6, 37], [2259, 1438, 1046, 221], [1, 12, 0, 1], [11, 2, 2410, 2451], [821, 12, 820, 1]], 'adelic_image': '2460.96.1.?', 'conductor': 1230, 'lmfdb_label': '1230.h1', 'prime': 0}
  • id: 5900
    {'conductor': 1230, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1230.h1', 'modell_image': '2B', 'prime': 2}
  • id: 5901
    {'conductor': 1230, 'elladic_image': '3.8.0.2', 'lmfdb_label': '1230.h1', 'modell_image': '3B.1.2', 'prime': 3}
• ec_padic •

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

  
  
  • id: 30609
    {'lmfdb_iso': '1230.h', 'p': 7, 'prec': 20, 'unit': 1062585760205876, 'val': 2}
  • id: 30615
    {'lmfdb_iso': '1230.h', 'p': 11, 'prec': 20, 'unit': 51775725533641171807, 'val': 1}
  • id: 30613
    {'lmfdb_iso': '1230.h', 'p': 13, 'prec': 20, 'unit': 29875898509995657541, 'val': 1}
  • id: 30616
    {'lmfdb_iso': '1230.h', 'p': 19, 'prec': 20, 'unit': 1578993484781178878899287, 'val': 1}
  • id: 30612
    {'lmfdb_iso': '1230.h', 'p': 29, 'prec': 20, 'unit': 4270698596710142778452224751, 'val': 1}
  • id: 30621
    {'lmfdb_iso': '1230.h', 'p': 31, 'prec': 20, 'unit': 3186009473917892841437317666, 'val': 1}
  • id: 30608
    {'lmfdb_iso': '1230.h', 'p': 37, 'prec': 20, 'unit': 110507719062793949510363185031, 'val': 1}
  • id: 30611
    {'lmfdb_iso': '1230.h', 'p': 43, 'prec': 20, 'unit': 6142327369824001385528219863591, 'val': 1}
  • id: 30617
    {'lmfdb_iso': '1230.h', 'p': 53, 'prec': 20, 'unit': 134249959688522245214936765601186, 'val': 1}
  • id: 30620
    {'lmfdb_iso': '1230.h', 'p': 61, 'prec': 20, 'unit': 13766201809313548668186925406762, 'val': 1}
  • id: 30607
    {'lmfdb_iso': '1230.h', 'p': 67, 'prec': 20, 'unit': 7668587246169978362811775639429677, 'val': 1}
  • id: 30619
    {'lmfdb_iso': '1230.h', 'p': 71, 'prec': 20, 'unit': 33984182399414174714300530610585967, 'val': 1}
  • id: 30610
    {'lmfdb_iso': '1230.h', 'p': 73, 'prec': 20, 'unit': 133980808928976795905574855573073, 'val': 1}
  • id: 30614
    {'lmfdb_iso': '1230.h', 'p': 79, 'prec': 20, 'unit': 973747931916244181590584166398300515, 'val': 1}
  • id: 30606
    {'lmfdb_iso': '1230.h', 'p': 83, 'prec': 20, 'unit': 1096131102659857069877347073596950136, 'val': 1}
  • id: 30618
    {'lmfdb_iso': '1230.h', 'p': 89, 'prec': 20, 'unit': 1066488885526727744926426503177288793, 'val': 1}
  • id: 30605
    {'lmfdb_iso': '1230.h', 'p': 97, 'prec': 20, 'unit': 52711768208454553733494495010990030892, 'val': 1}