Elliptic curve data - 41280.v3

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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': '41280y', 'Clabel': '41280y1', 'Cnumber': 1, 'abc_quality': 0.8109604537281869, 'absD': 1320960000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5160, 'ainvs': [0, -1, 0, -305, -975], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 41280, 'degree': 24576, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.44710558875936877336564069831', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [192143824, 80625], 'lmfdb_iso': '41280.v', 'lmfdb_label': '41280.v3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -76, -160], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.2', '40.12.0-4.c.1.5', '120.24.0.?', '258.6.0.?', '344.12.0.?', '516.12.0.?', '1032.24.0.?', '1720.24.0.?', '5160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.92202066245218510852610973998', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 129], [3, 4, 13760], [5, 6, 8256], [43, 44, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.36156612189390075428779677672', 'prec': 107}, 'szpiro_ratio': 2.707701736254161, '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, 0, -1, 0, 1, 0, -4, 0, 1, 0, -4, 0, 2, 0, -1, 0, 6, 0, 8, 0], 'aplist': [0, -1, 1, -4, -4, 2, 6, 8, 0, -2, -8, 2, 2, 1, 8, -6, -12, -10, -4, 0, -2, 0, 0, -10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 41280, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '41280.v', 'trace_hash': 643166403016995111}
• 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': '0.40893004466028566207637877090', 'prec': 103}, 'conductor': 41280, 'gens': [[-5, 20, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.92202066245218510852610973998', 'prec': 103}], 'lmfdb_label': '41280.v3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.1855824107071536822506091188', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3725259188474737491868214706834874128', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-15, 0, 1]], 'xcoord_integral_points': [-15, -5, 25]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [2, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '41280.v3'}
• ec_torsion_growth •

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

  
  
  • id: 2029196
    {'degree': 2, 'field': [-32, -1, 1], 'lmfdb_label': '41280.v3', 'torsion': [2, 2]}
  • id: 2029197
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '41280.v3', 'torsion': [4]}
  • id: 2029198
    {'degree': 2, 'field': [86, 0, 1], 'lmfdb_label': '41280.v3', 'torsion': [4]}
  • id: 2029199
    {'degree': 4, 'field': [400, 0, 46, 0, 1], 'lmfdb_label': '41280.v3', 'torsion': [2, 4]}
  • id: 2029203
    {'degree': 8, 'field': [-1875, 0, 1150, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '41280.v3', 'torsion': [6]}
  • id: 2029200
    {'degree': 8, 'field': [900, 0, -594, 0, -51, 0, -6, 0, 1], 'lmfdb_label': '41280.v3', 'torsion': [2, 4]}
  • id: 2029201
    {'degree': 8, 'field': [900, 0, -360, 0, 96, 0, 12, 0, 1], 'lmfdb_label': '41280.v3', 'torsion': [8]}
  • id: 2029202
    {'degree': 8, 'field': [184900, 0, 73960, 0, 6536, 0, 172, 0, 1], 'lmfdb_label': '41280.v3', 'torsion': [8]}
  • id: 2029204
    {'degree': 16, 'field': [62500, 0, 2497400, 0, 128824, 0, -132580, 0, -3347, 0, 1160, 0, 22, 0, 20, 0, 1], 'lmfdb_label': '41280.v3', 'torsion': [4, 4]}
  • id: 2029208
    {'degree': 16, 'field': [1166400, 0, 1555200, 0, 518400, 0, 72576, 0, 30672, 0, -1224, 0, 36, 0, 12, 0, 1], 'lmfdb_label': '41280.v3', 'torsion': [12]}
  • id: 2029205
    {'degree': 16, 'field': [3069505, -1842940, 2766966, -2197496, 2032848, -1293192, 727534, -274904, 99549, -28432, 14218, -5496, 1644, -364, 72, -8, 1], 'lmfdb_label': '41280.v3', 'torsion': [2, 8]}
  • id: 2029207
    {'degree': 16, 'field': [7290000, 0, 7516800, 0, -4402800, 0, -3101760, 0, 714312, 0, -30648, 0, -2736, 0, 0, 0, 1], 'lmfdb_label': '41280.v3', 'torsion': [2, 6]}
  • id: 2029206
    {'degree': 16, 'field': [100000000, 0, 172000000, 0, 103760000, 0, 28380000, 0, 3925700, 0, 283800, 0, 10376, 0, 172, 0, 1], 'lmfdb_label': '41280.v3', 'torsion': [2, 8]}
  • id: 2029209
    {'degree': 16, 'field': [115562500, 0, 33325000, 0, -3402500, 0, 959400, 0, 336000, 0, 31860, 0, 496, 0, 34, 0, 1], 'lmfdb_label': '41280.v3', 'torsion': [12]}
• 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: 978677
    {'conductor': 41280, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '41280.v3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 978678
    {'conductor': 41280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '41280.v3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 978679
    {'conductor': 41280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '41280.v3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 978680
    {'conductor': 41280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '41280.v3', 'prime': 43, '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: 1939613
    {'adelic_gens': [[3097, 8, 2068, 33], [1, 0, 8, 1], [637, 642, 4510, 1933], [1, 8, 0, 1], [1, 4, 4, 17], [5153, 8, 5152, 9], [7, 6, 5154, 5155], [649, 648, 3238, 655], [368, 3, 2165, 2], [1724, 1, 3463, 6]], 'adelic_image': '5160.48.0.?', 'conductor': 41280, 'lmfdb_label': '41280.v3', 'prime': 0}
  • id: 180866
    {'conductor': 41280, 'elladic_image': '4.6.0.1', 'lmfdb_label': '41280.v3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2049973
    {'lmfdb_iso': '41280.v', 'p': 7, 'prec': 20, 'unit': 5885834916763091, 'val': 1}
  • id: 2049975
    {'lmfdb_iso': '41280.v', 'p': 11, 'prec': 20, 'unit': 18864695665068364093, 'val': 1}
  • id: 2049977
    {'lmfdb_iso': '41280.v', 'p': 13, 'prec': 20, 'unit': 1214170042564424321661, 'val': 1}
  • id: 2049979
    {'lmfdb_iso': '41280.v', 'p': 17, 'prec': 20, 'unit': 229946449070633037933424, 'val': 1}
  • id: 2049980
    {'lmfdb_iso': '41280.v', 'p': 19, 'prec': 20, 'unit': 719048090645791294305258, 'val': 1}
  • id: 2049976
    {'lmfdb_iso': '41280.v', 'p': 29, 'prec': 20, 'unit': 4729436512326744273344771644, 'val': 1}
  • id: 2049986
    {'lmfdb_iso': '41280.v', 'p': 31, 'prec': 20, 'unit': 18510702140966932039589992131, 'val': 1}
  • id: 2049972
    {'lmfdb_iso': '41280.v', 'p': 37, 'prec': 20, 'unit': 132309929225711726151659560073, 'val': 1}
  • id: 2049974
    {'lmfdb_iso': '41280.v', 'p': 41, 'prec': 20, 'unit': 2327521121611777141230475429410, 'val': 1}
  • id: 2049978
    {'lmfdb_iso': '41280.v', 'p': 47, 'prec': 20, 'unit': 57162035176342002230746232006296, 'val': 1}
  • id: 2049981
    {'lmfdb_iso': '41280.v', 'p': 53, 'prec': 20, 'unit': 39819170842124514319252163777601, 'val': 1}
  • id: 2049984
    {'lmfdb_iso': '41280.v', 'p': 59, 'prec': 20, 'unit': 2898443501369035318941526973835501, 'val': 1}
  • id: 2049985
    {'lmfdb_iso': '41280.v', 'p': 61, 'prec': 20, 'unit': 7840822305422621824909142911755379, 'val': 1}
  • id: 2049971
    {'lmfdb_iso': '41280.v', 'p': 67, 'prec': 20, 'unit': 34467740196980172631952482286685655, 'val': 1}
  • id: 2049982
    {'lmfdb_iso': '41280.v', 'p': 73, 'prec': 20, 'unit': 146031638333977048475658379823306700, 'val': 1}
  • id: 2049983
    {'lmfdb_iso': '41280.v', 'p': 89, 'prec': 20, 'unit': 6404909950533688401573805108658089302, 'val': 1}
  • id: 2049970
    {'lmfdb_iso': '41280.v', 'p': 97, 'prec': 20, 'unit': 26542964401230128437524911455774267820, 'val': 1}