Elliptic curve data - 14300.c2

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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': '14300f', 'Clabel': '14300f1', 'Cnumber': 1, 'abc_quality': 0.9456942014037588, 'absD': 899756000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 330, 'ainvs': [0, -1, 0, 2267, -19663], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 14300, 'degree': 12960, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98230867105685091414234639763', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 3], 'jinv': [321978368, 224939], 'lmfdb_iso': '14300.c', 'lmfdb_label': '14300.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 91, -121], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '15.8.0-3.a.1.2', '22.2.0.a.1', '66.8.0.a.1', '330.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1161943474842489256814176369', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [3, 2, 1300], [5, 14, 572], [11, 12, 1300], [13, 14, 1100]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28450840553349614610285468329', 'prec': 107}, 'szpiro_ratio': 3.6362610748814865, '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, 0, -1, 0, 0, 0, -2, 0, -2, 0, 1, 0, -1, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, -1, 0, -2, 1, -1, 0, 2, 3, -6, -1, 7, 6, -8, -12, 6, 9, 2, 7, -3, -8, -4, 12, -15, 13], 'class_deg': 3, 'class_size': 2, 'conductor': 14300, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '14300.c', 'trace_hash': 450983511790785425}
• 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': '0.14020952863375607281913851852', 'prec': 103}, 'conductor': 14300, 'gens': [[16, 143, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1161943474842489256814176369', 'prec': 100}], 'lmfdb_label': '14300.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.50025659543497058283137479148', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3503015046973733374326232543822006447', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [16]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '14300.c2'}
• ec_torsion_growth •

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

  
  
  • id: 735114
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '14300.c2', 'torsion': [3]}
  • id: 735115
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '14300.c2', 'torsion': [2]}
  • id: 735118
    {'degree': 6, 'field': [-1, 1, 4, 5, 2, -1, 1], 'lmfdb_label': '14300.c2', 'torsion': [6]}
  • id: 735116
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '14300.c2', 'torsion': [2, 2]}
  • id: 735117
    {'degree': 6, 'field': [216, -36, -14, 21, 5, -3, 1], 'lmfdb_label': '14300.c2', 'torsion': [3]}
  • id: 735119
    {'degree': 12, 'field': [-27434, 132176, -218328, 128392, 8804, -31348, 3868, 3444, -966, 54, 0, -2, 1], 'lmfdb_label': '14300.c2', 'torsion': [4]}
  • id: 735121
    {'degree': 12, 'field': [1, 1, 5, 10, 9, 9, 14, -9, 9, -10, 5, -1, 1], 'lmfdb_label': '14300.c2', 'torsion': [2, 6]}
  • id: 735120
    {'degree': 12, 'field': [1444, -2508, 1376, 132, -384, 96, -125, 111, 18, -15, 8, -3, 1], 'lmfdb_label': '14300.c2', 'torsion': [3, 3]}
  • id: 735122
    {'degree': 18, 'field': [13079, -48576, 46079, -18687, 22291, 18267, -50219, 21197, -267, -5012, 2364, -1055, 1039, -643, 235, -82, 23, -5, 1], 'lmfdb_label': '14300.c2', 'torsion': [9]}
  • id: 735123
    {'degree': 18, 'field': [13824, 27648, 27648, -16704, 65280, 152160, 22504, -137280, 93180, -47145, 13516, 828, -1747, 744, -146, -15, 16, -6, 1], 'lmfdb_label': '14300.c2', 'torsion': [6]}
• 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: 313890
    {'conductor': 14300, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '14300.c2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 313891
    {'conductor': 14300, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '14300.c2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 313892
    {'conductor': 14300, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '14300.c2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 313893
    {'conductor': 14300, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '14300.c2', 'prime': 13, 'reduction_type': -1, '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: 1759070
    {'adelic_gens': [[276, 325, 55, 111], [4, 3, 9, 7], [1, 6, 0, 1], [3, 4, 8, 11], [211, 270, 105, 151], [325, 6, 324, 7], [263, 0, 0, 329], [1, 0, 6, 1]], 'adelic_image': '330.16.0.?', 'conductor': 14300, 'lmfdb_label': '14300.c2', 'prime': 0}
  • id: 67627
    {'conductor': 14300, 'elladic_image': '3.4.0.1', 'lmfdb_label': '14300.c2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 638000
    {'lmfdb_iso': '14300.c', 'p': 7, 'prec': 20, 'unit': 8961162295320805, 'val': 1}
  • id: 637996
    {'lmfdb_iso': '14300.c', 'p': 19, 'prec': 20, 'unit': 1179417630388328565129778, 'val': 1}
  • id: 638009
    {'lmfdb_iso': '14300.c', 'p': 23, 'prec': 20, 'unit': 50613642626037075595204834, 'val': 1}
  • id: 638003
    {'lmfdb_iso': '14300.c', 'p': 29, 'prec': 20, 'unit': 4560872977837261795975235523, 'val': 1}
  • id: 638014
    {'lmfdb_iso': '14300.c', 'p': 31, 'prec': 20, 'unit': 14477245857442715781957050201, 'val': 1}
  • id: 637999
    {'lmfdb_iso': '14300.c', 'p': 37, 'prec': 20, 'unit': 152146938502087236462028381309, 'val': 1}
  • id: 638001
    {'lmfdb_iso': '14300.c', 'p': 41, 'prec': 20, 'unit': 3125142871463303495631554177378, 'val': 1}
  • id: 638002
    {'lmfdb_iso': '14300.c', 'p': 43, 'prec': 20, 'unit': 8396559547941168109930661309, 'val': 1}
  • id: 638012
    {'lmfdb_iso': '14300.c', 'p': 47, 'prec': 20, 'unit': 250983938121437228830513868040, 'val': 2}
  • id: 638007
    {'lmfdb_iso': '14300.c', 'p': 53, 'prec': 20, 'unit': 402577521174148306792804388839086, 'val': 1}
  • id: 638005
    {'lmfdb_iso': '14300.c', 'p': 59, 'prec': 20, 'unit': 3260545450202214960641718220176768, 'val': 1}
  • id: 638013
    {'lmfdb_iso': '14300.c', 'p': 61, 'prec': 20, 'unit': 6059887091659946086282041822894331, 'val': 1}
  • id: 637998
    {'lmfdb_iso': '14300.c', 'p': 67, 'prec': 20, 'unit': 7029754077510830381005030211037691, 'val': 1}
  • id: 638011
    {'lmfdb_iso': '14300.c', 'p': 71, 'prec': 20, 'unit': 86210084680757651700926915822855368, 'val': 1}
  • id: 638008
    {'lmfdb_iso': '14300.c', 'p': 73, 'prec': 20, 'unit': 193624318512677945637704885714236462, 'val': 1}
  • id: 638004
    {'lmfdb_iso': '14300.c', 'p': 79, 'prec': 20, 'unit': 573903010961592346825096838759974070, 'val': 1}
  • id: 638006
    {'lmfdb_iso': '14300.c', 'p': 83, 'prec': 20, 'unit': 2897655511953421912380371161526774942, 'val': 1}
  • id: 638010
    {'lmfdb_iso': '14300.c', 'p': 89, 'prec': 20, 'unit': 9699207243954701857783844639834314920, 'val': 1}
  • id: 637997
    {'lmfdb_iso': '14300.c', 'p': 97, 'prec': 20, 'unit': 23942218669826049285509885969452562727, 'val': 1}