Elliptic curve data - 11130.m1

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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': '11130l', 'Clabel': '11130l3', 'Cnumber': 3, 'abc_quality': 0.9875172218259044, 'absD': 452758954469850, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1272, 'ainvs': [1, 0, 1, -693764, -222471088], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 11130, 'degree': 122880, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9601584873615317513855222158', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [36928196050908253259449, 452758954469850], 'lmfdb_iso': '11130.m', 'lmfdb_label': '11130.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -693764, -222471088], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '24.24.0-24.y.1.8', '212.12.0.?', '424.24.0.?', '1272.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1555301437271328164256813477', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 53], [3, 4, 3710], [5, 6, 742], [7, 8, 1590], [53, 54, 210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9601584873615317513855222158', 'prec': 100}, 'szpiro_ratio': 5.577013483597003, '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, 1, -1, 1, 1, 0, 1, -2, -1, -1, 1, 2, -1, -4, -1], 'aplist': [-1, 1, -1, 1, 0, -2, 2, -4, -8, 2, 4, -2, -10, 12, 8, -1, 8, 10, 4, 0, -6, -4, -12, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 11130, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '11130.m', 'trace_hash': 2260918862116253780}
• 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': '0.019834806615500015707740129627', 'prec': 107}, 'conductor': 11130, 'gens': [[-480, 271, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1555301437271328164256813477', 'prec': 100}], 'lmfdb_label': '11130.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16542342526534306903144599769', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8230350874539298123587556959060271287', 'prec': 130}, 'tamagawa_product': 80, 'torsion_generators': [[-1929, 1925, 2]], 'xcoord_integral_points': [-480, 1158, 2940]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': [2, 0], '5': [1, 0], '7': [2, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '53': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '11130.m1'}
• ec_torsion_growth •

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

  
  
  • id: 577084
    {'degree': 2, 'field': [-106, 0, 1], 'lmfdb_label': '11130.m1', 'torsion': [2, 2]}
  • id: 577086
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '11130.m1', 'torsion': [4]}
  • id: 577085
    {'degree': 2, 'field': [53, 0, 1], 'lmfdb_label': '11130.m1', 'torsion': [4]}
  • id: 577087
    {'degree': 4, 'field': [729, 0, -52, 0, 1], 'lmfdb_label': '11130.m1', 'torsion': [2, 4]}
  • id: 577091
    {'degree': 8, 'field': [1078, -29155, 28882, 545, -269, -7, 7, -4, 1], 'lmfdb_label': '11130.m1', 'torsion': [6]}
  • id: 577089
    {'degree': 8, 'field': [5433561, 0, 295065, 0, 10912, 0, 145, 0, 1], 'lmfdb_label': '11130.m1', 'torsion': [8]}
  • id: 577090
    {'degree': 8, 'field': [26977636, 0, 1163456, 0, 44982, 0, 224, 0, 1], 'lmfdb_label': '11130.m1', 'torsion': [8]}
  • id: 577088
    {'degree': 8, 'field': [16859983716, 0, -3116432, 0, -259676, 0, -8, 0, 1], 'lmfdb_label': '11130.m1', 'torsion': [2, 4]}
  • id: 577097
    {'degree': 16, 'field': [5170107366, -3521510316, 4341971061, -1621660824, 761332284, 63107262, -27036909, 4782384, -746531, -295226, 55171, 1744, 43, -182, 46, -8, 1], 'lmfdb_label': '11130.m1', 'torsion': [12]}
  • id: 577095
    {'degree': 16, 'field': [135663039900, -51382207404, 54718926975, -6204992556, 1904000388, 1512761526, -622266281, 88695208, -6762165, -10023610, 1753955, 136704, -22693, -70, 30, -8, 1], 'lmfdb_label': '11130.m1', 'torsion': [2, 6]}
  • id: 577096
    {'degree': 16, 'field': [793581812448, 305453799384, -272581484535, -66332833774, 34647503216, -1806857958, 651372169, -41748632, 10068729, 186300, 22107, -32460, 5501, -70, 30, -8, 1], 'lmfdb_label': '11130.m1', 'torsion': [12]}
  • id: 577093
    {'degree': 16, 'field': [23975610654276, -1871624369088, 2209800996600, -127648885680, 173458640500, -502150440, 7712543148, 56176032, 219631053, 1594260, 3931300, 10920, 45849, -12, 306, 0, 1], 'lmfdb_label': '11130.m1', 'torsion': [2, 8]}
  • id: 577094
    {'degree': 16, 'field': [248155780267521, 0, 1750658061852, 0, -33963383916, 0, -555437736, 0, -10221057, 0, -139944, 0, -2156, 0, 28, 0, 1], 'lmfdb_label': '11130.m1', 'torsion': [2, 8]}
  • id: 577092
    {'degree': 16, 'field': [17768379984094140625, 0, 0, 0, 0, 0, 0, 0, 143318691250, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '11130.m1', 'torsion': [4, 4]}
• 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: 238371
    {'conductor': 11130, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11130.m1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 238372
    {'conductor': 11130, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '11130.m1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 20}
  • id: 238373
    {'conductor': 11130, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '11130.m1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 238374
    {'conductor': 11130, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '11130.m1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 238375
    {'conductor': 11130, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11130.m1', 'prime': 53, '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: 1737795
    {'adelic_gens': [[425, 8, 428, 33], [7, 6, 1266, 1267], [1265, 8, 1264, 9], [480, 1121, 787, 774], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [440, 3, 1229, 2], [803, 796, 842, 165]], 'adelic_image': '1272.48.0.?', 'conductor': 11130, 'lmfdb_label': '11130.m1', 'prime': 0}
  • id: 53582
    {'conductor': 11130, 'elladic_image': '8.12.0.7', 'lmfdb_label': '11130.m1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 478817
    {'lmfdb_iso': '11130.m', 'p': 13, 'prec': 20, 'unit': 631507629119152137669, 'val': 1}
  • id: 478819
    {'lmfdb_iso': '11130.m', 'p': 17, 'prec': 20, 'unit': 11472052987865225452534, 'val': 1}
  • id: 478820
    {'lmfdb_iso': '11130.m', 'p': 19, 'prec': 20, 'unit': 853381947995934414423056, 'val': 1}
  • id: 478823
    {'lmfdb_iso': '11130.m', 'p': 23, 'prec': 20, 'unit': 35314120046853199388703721, 'val': 1}
  • id: 478816
    {'lmfdb_iso': '11130.m', 'p': 29, 'prec': 20, 'unit': 825515704213448803771085634, 'val': 1}
  • id: 478827
    {'lmfdb_iso': '11130.m', 'p': 31, 'prec': 20, 'unit': 14491800763558269406326712610, 'val': 1}
  • id: 478813
    {'lmfdb_iso': '11130.m', 'p': 37, 'prec': 20, 'unit': 550001126763900046532079632670, 'val': 1}
  • id: 478814
    {'lmfdb_iso': '11130.m', 'p': 41, 'prec': 20, 'unit': 3673613742397452401585436825781, 'val': 1}
  • id: 478815
    {'lmfdb_iso': '11130.m', 'p': 43, 'prec': 20, 'unit': 8305333083723496307723338406303, 'val': 1}
  • id: 478825
    {'lmfdb_iso': '11130.m', 'p': 47, 'prec': 20, 'unit': 31904881239111839541344329048764, 'val': 1}
  • id: 478821
    {'lmfdb_iso': '11130.m', 'p': 59, 'prec': 20, 'unit': 1597177584526788612258453298852163, 'val': 1}
  • id: 478826
    {'lmfdb_iso': '11130.m', 'p': 61, 'prec': 20, 'unit': 2553268847595078035508721495616204, 'val': 1}
  • id: 478812
    {'lmfdb_iso': '11130.m', 'p': 67, 'prec': 20, 'unit': 38795320260213923056009866709887219, 'val': 1}
  • id: 478822
    {'lmfdb_iso': '11130.m', 'p': 73, 'prec': 20, 'unit': 66908157614087175091150017595402219, 'val': 1}
  • id: 478818
    {'lmfdb_iso': '11130.m', 'p': 79, 'prec': 20, 'unit': 597267575688573779742014310208016007, 'val': 1}
  • id: 478811
    {'lmfdb_iso': '11130.m', 'p': 83, 'prec': 20, 'unit': 1533155711288882425287593416364523688, 'val': 1}
  • id: 478824
    {'lmfdb_iso': '11130.m', 'p': 89, 'prec': 20, 'unit': 2093390542756735373163704723180982386, 'val': 1}
  • id: 478810
    {'lmfdb_iso': '11130.m', 'p': 97, 'prec': 20, 'unit': 14366785621918041399906241934609348454, 'val': 1}