Elliptic curve data - 50430.f2

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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': '50430f', 'Clabel': '50430f8', 'Cnumber': 8, 'abc_quality': 1.1359972360691755, 'absD': 27832642037109375000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 4920, 'ainvs': [1, 1, 0, -762368, -35188728], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 41], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 50430, 'degree': 1658880, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4209520185685055822226240081', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [10316097499609, 5859375000], 'lmfdb_iso': '50430.f', 'lmfdb_label': '50430.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -454, -544], 'min_quad_twist_disc': 41, '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', '12.48.0.c.3', '24.96.1.da.1', '40.12.0.bb.1', '120.192.5.?', '123.8.0.?', '246.24.0.?', '328.12.0.?', '492.96.0.?', '984.192.1.?', '1640.24.0.?', '4920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '22.815090371076980310623305443', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5043], [3, 4, 1681], [5, 6, 10086], [41, 842, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232158', 'prec': 103}, 'szpiro_ratio': 4.824945628350658, '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, 0, -1, -2, -4, 1, 1, -6, -1, 4, -1], 'aplist': [-1, -1, -1, 4, 0, -2, -6, 4, 0, 6, 8, 2, 0, -4, 0, 6, 0, -10, 4, 0, 2, -8, 12, -18, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 50430, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '50430.f', 'trace_hash': 2287084624037371873}
• 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': '0.0078920130508908930711209352977', 'prec': 110}, 'conductor': 50430, 'gens': [[274126432441, 125291282491613169, 12040]], 'heights': [{'__RealLiteral__': 0, 'data': '22.815090371076980310623305443', 'prec': 100}], 'lmfdb_label': '50430.f2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.17449545643390302075447597009', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9811296078818235212018951770045759115', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[3579, -3579, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [1, 1], '5': [5, 0], '7': [1, 0], '11': [1, 1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': 'a', '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '50430.f2'}
• ec_torsion_growth •

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

  
  
  • id: 2450992
    {'degree': 2, 'field': [-123, 0, 1], 'lmfdb_label': '50430.f2', 'torsion': [4]}
  • id: 2450991
    {'degree': 2, 'field': [-82, 0, 1], 'lmfdb_label': '50430.f2', 'torsion': [4]}
  • id: 2450990
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '50430.f2', 'torsion': [2, 2]}
  • id: 2450993
    {'degree': 2, 'field': [31, -1, 1], 'lmfdb_label': '50430.f2', 'torsion': [6]}
  • id: 2450994
    {'degree': 4, 'field': [361, 0, -44, 0, 1], 'lmfdb_label': '50430.f2', 'torsion': [2, 4]}
  • id: 2450996
    {'degree': 4, 'field': [484, 0, -38, 0, 1], 'lmfdb_label': '50430.f2', 'torsion': [12]}
  • id: 2450995
    {'degree': 4, 'field': [484, 0, 38, 0, 1], 'lmfdb_label': '50430.f2', 'torsion': [2, 6]}
  • id: 2450997
    {'degree': 4, 'field': [961, 0, -61, 0, 1], 'lmfdb_label': '50430.f2', 'torsion': [12]}
  • id: 2450998
    {'degree': 6, 'field': [-898, -489, 279, 53, -27, -3, 1], 'lmfdb_label': '50430.f2', 'torsion': [6]}
  • id: 2451000
    {'degree': 8, 'field': [13116, 40080, -31768, -1120, 3208, -40, -108, 0, 1], 'lmfdb_label': '50430.f2', 'torsion': [8]}
  • id: 2451002
    {'degree': 8, 'field': [14641, 0, 0, 0, 119, 0, 0, 0, 1], 'lmfdb_label': '50430.f2', 'torsion': [2, 12]}
  • id: 2451001
    {'degree': 8, 'field': [111556, 0, 11881, 0, 1527, 0, 19, 0, 1], 'lmfdb_label': '50430.f2', 'torsion': [8]}
  • id: 2450999
    {'degree': 8, 'field': [231436, 31824, 38440, 1056, 2400, -24, 76, 0, 1], 'lmfdb_label': '50430.f2', 'torsion': [2, 12]}
  • id: 2451005
    {'degree': 12, 'field': [-118450, 781560, -71331, -253146, 57069, 59412, -11447, -7050, 1263, 328, -57, -6, 1], 'lmfdb_label': '50430.f2', 'torsion': [12]}
  • id: 2451004
    {'degree': 12, 'field': [929512, 679344, -536760, -265120, 83940, 54204, -11347, -5406, 915, 280, -45, -6, 1], 'lmfdb_label': '50430.f2', 'torsion': [2, 6]}
  • id: 2451006
    {'degree': 12, 'field': [991126, 609918, -460845, -278140, 90555, 54078, -11305, -5406, 915, 280, -45, -6, 1], 'lmfdb_label': '50430.f2', 'torsion': [12]}
  • id: 2451003
    {'degree': 12, 'field': [1008892, 590082, -439155, -281860, 92445, 54042, -11293, -5406, 915, 280, -45, -6, 1], 'lmfdb_label': '50430.f2', 'torsion': [3, 6]}
  • id: 2451011
    {'degree': 16, 'field': [214358881, 0, 168298295, 0, 65196373, 0, 16667750, 0, 2453158, 0, 137750, 0, 4453, 0, 95, 0, 1], 'lmfdb_label': '50430.f2', 'torsion': [24]}
  • id: 2451007
    {'degree': 16, 'field': [236882881, -119680416, 30233088, 21189072, -4718030, 2422296, 326016, 119712, 122487, 27048, 288, -1440, 214, -24, 0, 0, 1], 'lmfdb_label': '50430.f2', 'torsion': [4, 12]}
  • id: 2451009
    {'degree': 16, 'field': [996096721, 0, -2978982832, 0, 1201803068, 0, -195383280, 0, 15930326, 0, -704400, 0, 16988, 0, -208, 0, 1], 'lmfdb_label': '50430.f2', 'torsion': [2, 8]}
  • id: 2451010
    {'degree': 16, 'field': [27729803679, 22471461756, 4971556570, -674843928, -22669519, 162698504, 18010838, -6423412, -144630, 452828, 21266, -12400, 957, 416, -26, -4, 1], 'lmfdb_label': '50430.f2', 'torsion': [24]}
  • id: 2451008
    {'degree': 16, 'field': [50231567376, 0, 2293023888, 0, 308992692, 0, 12057168, 0, 962728, 0, 38224, 0, 1773, 0, 46, 0, 1], 'lmfdb_label': '50430.f2', 'torsion': [2, 8]}
  • id: 2451012
    {'degree': 18, 'field': [667259950941, -18499516641, -16736328045, -11570207592, 10784102454, 790901274, -603628868, -15591156, 47336493, -3062411, -409503, 62532, 41108, -3846, 246, -40, 63, -9, 1], 'lmfdb_label': '50430.f2', '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: 1207935
    {'conductor': 50430, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '50430.f2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1207936
    {'conductor': 50430, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '50430.f2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1207937
    {'conductor': 50430, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '50430.f2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1207938
    {'conductor': 50430, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '50430.f2', 'prime': 41, '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: 1999770
    {'adelic_gens': [[3486, 3649, 4715, 3896], [3479, 0, 0, 4919], [1, 12, 12, 145], [3814, 123, 615, 1354], [3937, 984, 3444, 1969], [4897, 24, 4896, 25], [2256, 2993, 1271, 2994], [1, 24, 0, 1], [15, 106, 3614, 611], [1, 0, 24, 1]], 'adelic_image': '4920.384.5.?', 'conductor': 50430, 'lmfdb_label': '50430.f2', 'prime': 0}
  • id: 216783
    {'conductor': 50430, 'elladic_image': '4.6.0.1', 'lmfdb_label': '50430.f2', 'modell_image': '2B', 'prime': 2}
  • id: 216784
    {'conductor': 50430, 'elladic_image': '3.4.0.1', 'lmfdb_label': '50430.f2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 2536233
    {'lmfdb_iso': '50430.f', 'p': 7, 'prec': 20, 'unit': 9967945324497602, 'val': 1}
  • id: 2536237
    {'lmfdb_iso': '50430.f', 'p': 13, 'prec': 20, 'unit': 7874574853953912978, 'val': 3}
  • id: 2536239
    {'lmfdb_iso': '50430.f', 'p': 17, 'prec': 20, 'unit': 74834646363338750197184, 'val': 1}
  • id: 2536229
    {'lmfdb_iso': '50430.f', 'p': 19, 'prec': 20, 'unit': 349386034443498869917378, 'val': 1}
  • id: 2536236
    {'lmfdb_iso': '50430.f', 'p': 29, 'prec': 20, 'unit': 2067135386128756226799508380, 'val': 1}
  • id: 2536244
    {'lmfdb_iso': '50430.f', 'p': 31, 'prec': 20, 'unit': 15313242315354604756318806865, 'val': 1}
  • id: 2536232
    {'lmfdb_iso': '50430.f', 'p': 37, 'prec': 20, 'unit': 123242561194810843503145736116, 'val': 1}
  • id: 2536235
    {'lmfdb_iso': '50430.f', 'p': 43, 'prec': 20, 'unit': 303896633743236531350203799915, 'val': 1}
  • id: 2536241
    {'lmfdb_iso': '50430.f', 'p': 53, 'prec': 20, 'unit': 457848247347545722189782011223739, 'val': 1}
  • id: 2536243
    {'lmfdb_iso': '50430.f', 'p': 61, 'prec': 20, 'unit': 8231470100510307542132341129527516, 'val': 1}
  • id: 2536231
    {'lmfdb_iso': '50430.f', 'p': 67, 'prec': 20, 'unit': 30443543607071783504707487909124606, 'val': 1}
  • id: 2536234
    {'lmfdb_iso': '50430.f', 'p': 73, 'prec': 20, 'unit': 250282775268597654268198001945784685, 'val': 1}
  • id: 2536238
    {'lmfdb_iso': '50430.f', 'p': 79, 'prec': 20, 'unit': 1119433705042198961640614282099965296, 'val': 1}
  • id: 2536240
    {'lmfdb_iso': '50430.f', 'p': 83, 'prec': 20, 'unit': 2772652199405046301561950936256800602, 'val': 1}
  • id: 2536242
    {'lmfdb_iso': '50430.f', 'p': 89, 'prec': 20, 'unit': 8934948236820030972053417859325228277, 'val': 1}
  • id: 2536230
    {'lmfdb_iso': '50430.f', 'p': 97, 'prec': 20, 'unit': 31361232969494061198128446858234335090, 'val': 1}