Elliptic curve data - 3420.f1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '3420a', 'Clabel': '3420a1', 'Cnumber': 1, 'abc_quality': 0.9907756543685527, 'absD': 4750200450000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, 0, 0, -8292, -271051], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3420, 'degree': 5760, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1776795915334831590413786621', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [5405726654464, 407253125], 'lmfdb_iso': '3420.f', 'lmfdb_label': '3420.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -921, 10346], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '10.6.0.a.1', '20.24.0.e.1', '456.12.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39732438701277987687134533649', 'prec': 103}, 'szpiro_ratio': 4.753700478783442, '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, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0, -2, 0, -1, 0], 'aplist': [0, 0, 1, 2, 0, 6, -2, -1, 2, 2, 4, -10, 10, 6, 6, -6, 4, 2, -2, -12, -6, 8, 2, -2, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 3420, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3420.f', 'trace_hash': 189555490389858804}
• 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': '0.094859428514401099047016006858', 'prec': 107}, 'conductor': 3420, 'gens': [], 'heights': [], 'lmfdb_label': '3420.f1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.50268833361545947956966507015', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5134416680772973978483253507468092586', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [[-41, 0, 1]], 'xcoord_integral_points': [-41]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '19': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '3420.f1'}
• ec_torsion_growth •

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

  
  
  • id: 178075
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '3420.f1', 'torsion': [2, 2]}
  • id: 178076
    {'degree': 4, 'field': [13, 2, -4, -2, 1], 'lmfdb_label': '3420.f1', 'torsion': [4]}
  • id: 178079
    {'degree': 8, 'field': [-242, 110, -92, -49, 58, -43, 19, -4, 1], 'lmfdb_label': '3420.f1', 'torsion': [6]}
  • id: 178078
    {'degree': 8, 'field': [25, -50, 50, -30, 14, -6, 2, -2, 1], 'lmfdb_label': '3420.f1', 'torsion': [2, 4]}
  • id: 178077
    {'degree': 8, 'field': [76, 144, 48, -40, -14, 0, -8, -2, 1], 'lmfdb_label': '3420.f1', 'torsion': [2, 4]}
  • id: 178080
    {'degree': 16, 'field': [1, -14, 98, -506, 1533, -1654, 940, -100, -274, 320, -190, 44, 28, -34, 18, -6, 1], 'lmfdb_label': '3420.f1', 'torsion': [4, 4]}
  • id: 178082
    {'degree': 16, 'field': [102400, 0, -186565, 0, -73454, 0, -35851, 0, -4865, 0, -835, 0, 55, 0, 14, 0, 1], 'lmfdb_label': '3420.f1', 'torsion': [2, 6]}
  • id: 178081
    {'degree': 16, 'field': [38502025, 0, 3844400, 0, -4336560, 0, 476680, 0, 184826, 0, -37808, 0, 2784, 0, -88, 0, 1], 'lmfdb_label': '3420.f1', 'torsion': [8]}
• 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: 62317
    {'conductor': 3420, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '3420.f1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 62318
    {'conductor': 3420, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '3420.f1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 62319
    {'conductor': 3420, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '3420.f1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 62320
    {'conductor': 3420, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '3420.f1', 'prime': 19, '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: 1686211
    {'adelic_gens': [[1141, 768, 0, 1], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [3, 8, 28, 75], [577, 6, 2274, 2275], [5, 8, 48, 77], [1519, 0, 0, 2279], [2273, 8, 2272, 9], [1921, 768, 84, 793], [616, 3, 765, 1522]], 'adelic_image': '2280.48.0.?', 'conductor': 3420, 'lmfdb_label': '3420.f1', 'prime': 0}
  • id: 17118
    {'conductor': 3420, 'elladic_image': '4.6.0.3', 'lmfdb_label': '3420.f1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 3420.f does not appear in ec_padic