Elliptic curve data - 35520.h1

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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': '35520a', 'Clabel': '35520a1', 'Cnumber': 1, 'abc_quality': 0.8642360924727805, 'absD': 17677025280, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1480, 'ainvs': [0, -1, 0, -1761, -28575], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 35520, 'degree': 27648, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74521863013331802206247712093', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1], 'jinv': [-4610398322, 134865], 'lmfdb_iso': '35520.h', 'lmfdb_label': '35520.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -440, -3792], 'min_quad_twist_disc': 8, 'modell_images': [], 'modm_images': ['1480.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9768212723231505184871451390', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23673987565993783294526838447', 'prec': 107}, 'szpiro_ratio': 3.252994675945183, '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, -1, 0, -1, 0, 1, 0, -3, 0, -6, 0, 1, 0, 1, 0, -6, 0], 'aplist': [0, -1, -1, -1, -3, -6, 1, -6, -4, 5, 9, -1, -3, 7, 0, 1, -2, 3, -4, 8, -12, 4, 10, -6, 5], 'class_deg': 1, 'class_size': 1, 'conductor': 35520, 'isogeny_matrix': [[1]], 'lmfdb_iso': '35520.h', 'trace_hash': 94634046328370776}
• 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': '0.22527413057408119133574295491', 'prec': 103}, 'conductor': 35520, 'gens': [[51, 108, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9768212723231505184871451390', 'prec': 100}], 'lmfdb_label': '35520.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.36784144190771341077761419012', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9086271488207531359135938387626343781', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [51]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [3, 0], '7': [1, 0], '11': [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, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '35520.h1'}
• ec_torsion_growth •

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

  
  
  • id: 1763161
    {'degree': 3, 'field': [-2, 7, 0, 1], 'lmfdb_label': '35520.h1', 'torsion': [2]}
  • id: 1763162
    {'degree': 6, 'field': [1480, 0, 441, 0, 42, 0, 1], 'lmfdb_label': '35520.h1', 'torsion': [2, 2]}
  • id: 1763163
    {'degree': 8, 'field': [-3, 0, -26, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '35520.h1', 'torsion': [3]}
  • id: 1763164
    {'degree': 12, 'field': [-852480, 0, -659732, 0, -75615, 0, 46460, 0, 710, 0, 0, 0, 1], 'lmfdb_label': '35520.h1', 'torsion': [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: 835956
    {'conductor': 35520, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '35520.h1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 835957
    {'conductor': 35520, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '35520.h1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 835958
    {'conductor': 35520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35520.h1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 835959
    {'conductor': 35520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35520.h1', 'prime': 37, '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

  
  {'adelic_gens': [[1479, 2, 1478, 3], [1111, 2, 1111, 3], [741, 2, 741, 3], [1, 1, 1479, 0], [297, 2, 297, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1001, 2, 1001, 3]], 'adelic_image': '1480.2.0.?', 'conductor': 35520, 'lmfdb_label': '35520.h1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1743608
    {'lmfdb_iso': '35520.h', 'p': 7, 'prec': 20, 'unit': 6134971869769909, 'val': 1}
  • id: 1743614
    {'lmfdb_iso': '35520.h', 'p': 11, 'prec': 20, 'unit': 60301579354067465856, 'val': 1}
  • id: 1743612
    {'lmfdb_iso': '35520.h', 'p': 13, 'prec': 20, 'unit': 597640732879085136427, 'val': 1}
  • id: 1743615
    {'lmfdb_iso': '35520.h', 'p': 17, 'prec': 20, 'unit': 1558046921558022581661003, 'val': -1}
  • id: 1743616
    {'lmfdb_iso': '35520.h', 'p': 19, 'prec': 20, 'unit': 269053251598511623431421, 'val': 1}
  • id: 1743619
    {'lmfdb_iso': '35520.h', 'p': 23, 'prec': 20, 'unit': 43306716199698530853501303, 'val': 1}
  • id: 1743611
    {'lmfdb_iso': '35520.h', 'p': 29, 'prec': 20, 'unit': 2313954160979470473332991894, 'val': 1}
  • id: 1743624
    {'lmfdb_iso': '35520.h', 'p': 31, 'prec': 20, 'unit': 12643924389875795136122567480, 'val': 1}
  • id: 1743609
    {'lmfdb_iso': '35520.h', 'p': 41, 'prec': 20, 'unit': 3385670948943964109849996524420, 'val': 1}
  • id: 1743610
    {'lmfdb_iso': '35520.h', 'p': 43, 'prec': 20, 'unit': 827906365758111976667505164479, 'val': 1}
  • id: 1743617
    {'lmfdb_iso': '35520.h', 'p': 53, 'prec': 20, 'unit': 1198651084919838885351556200292817, 'val': -1}
  • id: 1743622
    {'lmfdb_iso': '35520.h', 'p': 59, 'prec': 20, 'unit': 2376581550797179834575531522175937, 'val': 1}
  • id: 1743623
    {'lmfdb_iso': '35520.h', 'p': 61, 'prec': 20, 'unit': 2784801167303594918646423579704664, 'val': 1}
  • id: 1743607
    {'lmfdb_iso': '35520.h', 'p': 67, 'prec': 20, 'unit': 5681959069014589007251473201239485, 'val': 1}
  • id: 1743621
    {'lmfdb_iso': '35520.h', 'p': 71, 'prec': 20, 'unit': 41380707481116919137179124637437636, 'val': 1}
  • id: 1743618
    {'lmfdb_iso': '35520.h', 'p': 73, 'prec': 20, 'unit': 101663987728628207098093200721758723, 'val': 1}
  • id: 1743613
    {'lmfdb_iso': '35520.h', 'p': 79, 'prec': 20, 'unit': 1002289460235839796141595204930236489, 'val': 1}
  • id: 1743606
    {'lmfdb_iso': '35520.h', 'p': 83, 'prec': 20, 'unit': 1292729022525678504184921865725995799, 'val': 1}
  • id: 1743620
    {'lmfdb_iso': '35520.h', 'p': 89, 'prec': 20, 'unit': 5077705004728669471732896212697652742, 'val': 1}
  • id: 1743605
    {'lmfdb_iso': '35520.h', 'p': 97, 'prec': 20, 'unit': 23377467638037251350049046675326542018, 'val': 1}