Elliptic curve data - 89280.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
  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': '89280h', 'Clabel': '89280h2', 'Cnumber': 2, 'abc_quality': 0.9087616710675055, 'absD': 1249634304000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3720, 'ainvs': [0, 0, 0, -138348, -19733328], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 89280, 'degree': 516096, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7506985376246585073953221854', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [113511836214, 484375], 'lmfdb_iso': '89280.h', 'lmfdb_label': '89280.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -3843, 91358], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.c.1', '744.6.0.?', '1240.6.0.?', '3720.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.245434827586023244954037006', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 93], [3, 2, 1984], [5, 6, 17856], [31, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055219184669679616158857247691', 'prec': 110}, 'szpiro_ratio': 4.134045363010541, '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, -4, 0, 0, 0, 2, 0, 2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -1, -4, 2, 2, -2, -4, 8, 4, -1, -2, 0, -4, 12, 6, 8, -14, -2, -10, 0, -4, 0, 6, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 89280, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '89280.h', 'trace_hash': 630715389465295960}
• 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': '0.030155224861543104022299196200', 'prec': 107}, 'conductor': 89280, 'gens': [[22789, 3091337, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '10.245434827586023244954037006', 'prec': 100}], 'lmfdb_label': '89280.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.24760979899341069289204587764', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0737401165173291087178071321988400265', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-204, 0, 1]], 'xcoord_integral_points': [-204]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 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, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '89280.h1'}
• ec_torsion_growth •

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

  
  
  • id: 4175534
    {'degree': 2, 'field': [-186, 0, 1], 'lmfdb_label': '89280.h1', 'torsion': [2, 2]}
  • id: 4175535
    {'degree': 4, 'field': [744, 0, 21, 0, 1], 'lmfdb_label': '89280.h1', 'torsion': [4]}
  • id: 4175538
    {'degree': 8, 'field': [-27, 0, -202, 0, 18, 0, 0, 0, 1], 'lmfdb_label': '89280.h1', 'torsion': [6]}
  • id: 4175537
    {'degree': 8, 'field': [346921, 0, 31186, 0, 4722, 0, 34, 0, 1], 'lmfdb_label': '89280.h1', 'torsion': [2, 4]}
  • id: 4175536
    {'degree': 8, 'field': [492967, 83828, -94094, 20552, -10325, 56, -14, -4, 1], 'lmfdb_label': '89280.h1', 'torsion': [2, 4]}
  • id: 4175539
    {'degree': 16, 'field': [15341296, -46339072, 137429120, -59129376, 68256368, 50644144, 2870944, -1884144, 964390, 258432, -40892, -1576, 1997, -66, -43, -2, 1], 'lmfdb_label': '89280.h1', 'torsion': [8]}
  • id: 4175540
    {'degree': 16, 'field': [2840676804, 0, -1740483504, 0, 264161556, 0, -25385112, 0, 1449180, 0, -50268, 0, 1824, 0, -66, 0, 1], 'lmfdb_label': '89280.h1', 'torsion': [2, 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: 2181653
    {'conductor': 89280, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '89280.h1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2181654
    {'conductor': 89280, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '89280.h1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2181655
    {'conductor': 89280, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '89280.h1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2181656
    {'conductor': 89280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '89280.h1', 'prime': 31, '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: 2252069
    {'adelic_gens': [[2, 1, 1859, 0], [1, 2, 2, 5], [3602, 1, 1919, 0], [1244, 1, 2479, 0], [1, 4, 0, 1], [3717, 4, 3716, 5], [3257, 466, 464, 3255], [2977, 4, 2234, 9], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '3720.12.0.?', 'conductor': 89280, 'lmfdb_label': '89280.h1', 'prime': 0}
  • id: 363153
    {'conductor': 89280, 'elladic_image': '2.3.0.1', 'lmfdb_label': '89280.h1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4618612
    {'lmfdb_iso': '89280.h', 'p': 7, 'prec': 20, 'unit': 1589338651931369, 'val': 1}
  • id: 4618610
    {'lmfdb_iso': '89280.h', 'p': 11, 'prec': 20, 'unit': 5085934617281007066, 'val': 1}
  • id: 4618615
    {'lmfdb_iso': '89280.h', 'p': 13, 'prec': 20, 'unit': 844350015333325423602, 'val': 1}
  • id: 4618617
    {'lmfdb_iso': '89280.h', 'p': 17, 'prec': 20, 'unit': 8420178166200859103162, 'val': 1}
  • id: 4618618
    {'lmfdb_iso': '89280.h', 'p': 19, 'prec': 20, 'unit': 882156754102945406881710, 'val': 1}
  • id: 4618621
    {'lmfdb_iso': '89280.h', 'p': 23, 'prec': 20, 'unit': 63273572920366298774863807, 'val': 1}
  • id: 4618614
    {'lmfdb_iso': '89280.h', 'p': 29, 'prec': 20, 'unit': 3322951946767510947524427590, 'val': 1}
  • id: 4618611
    {'lmfdb_iso': '89280.h', 'p': 37, 'prec': 20, 'unit': 38946722069554311575577447872, 'val': 1}
  • id: 4618613
    {'lmfdb_iso': '89280.h', 'p': 43, 'prec': 20, 'unit': 3001611739339756726456537503377, 'val': 1}
  • id: 4618624
    {'lmfdb_iso': '89280.h', 'p': 47, 'prec': 20, 'unit': 9717148832766792343012787186765, 'val': 1}
  • id: 4618619
    {'lmfdb_iso': '89280.h', 'p': 53, 'prec': 20, 'unit': 39691490635438872701600390630452, 'val': 1}
  • id: 4618620
    {'lmfdb_iso': '89280.h', 'p': 59, 'prec': 20, 'unit': 487512077800469941764513187765715, 'val': 1}
  • id: 4618625
    {'lmfdb_iso': '89280.h', 'p': 61, 'prec': 20, 'unit': 5015456229966549935389392430461124, 'val': 1}
  • id: 4618609
    {'lmfdb_iso': '89280.h', 'p': 67, 'prec': 20, 'unit': 10239882602406799480096112366629637, 'val': 1}
  • id: 4618623
    {'lmfdb_iso': '89280.h', 'p': 71, 'prec': 20, 'unit': 61053215451845715993289060079869163, 'val': 1}
  • id: 4618616
    {'lmfdb_iso': '89280.h', 'p': 79, 'prec': 20, 'unit': 1073105854155394576996313866758455821, 'val': 1}
  • id: 4618622
    {'lmfdb_iso': '89280.h', 'p': 89, 'prec': 20, 'unit': 4841606168360878992092024511288857770, 'val': 1}
  • id: 4618608
    {'lmfdb_iso': '89280.h', 'p': 97, 'prec': 20, 'unit': 45865114890651336937095791886609268887, 'val': 1}