Formats: - HTML - YAML - JSON - 2026-10-09T23:24:38.161202
  • ec_curvedata • Show schema
    {'Ciso': '30976d', 'Clabel': '30976d2', 'Cnumber': 2, 'abc_quality': 0.9029767420170889, 'absD': 58050510848, 'ainvs': [0, 1, 0, -1613, 21547], 'analytic_rank': 0, 'bad_primes': [2, 11], 'class_deg': 2, 'class_size': 2, 'cm': -8, 'conductor': 30976, 'degree': 17280, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79497498603929115227469418337', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [8000, 1], 'lmfdb_iso': '30976.a', 'lmfdb_label': '30976.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3, 1], 'min_quad_twist_disc': 88, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 121], [11, 62, 256]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2704066260598257565278177574', 'prec': 97}, 'szpiro_ratio': 3.2658234894702716, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • ec_classdata • Show schema
    {'anlist': [0, 1, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0], 'aplist': [0, -2, 0, 0, 0, 0, 6, 2, 0, 0, 0, 0, -6, -10, 0, 0, -6, 0, 14, 0, 2, 0, 18, -18, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 30976, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '30976.a', 'trace_hash': 350381707312251090}
  • ec_mwbsd • Show schema
    {'area': {'__RealLiteral__': 0, 'data': '0.20393581396388837728776232783', 'prec': 97}, 'conductor': 30976, 'gens': [], 'heights': [], 'lmfdb_label': '30976.a1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0740741016546807397986846902', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0740741016546807397986846901795494507', 'prec': 127}, 'tamagawa_product': 4, 'torsion_generators': [[29, 0, 1]], 'xcoord_integral_points': [29]}
  • ec_iwasawa • Show schema
    {'iwdata': {'2': 'a', '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '30976.a1'}
  • ec_torsion_growth • Show schema
    • id: 1546161
      {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '30976.a1', 'torsion': [2, 2]}
    • id: 1546164
      {'degree': 4, 'field': [-242, 0, -44, 0, 1], 'lmfdb_label': '30976.a1', 'torsion': [6]}
    • id: 1546162
      {'degree': 4, 'field': [242, 0, -44, 0, 1], 'lmfdb_label': '30976.a1', 'torsion': [2, 4]}
    • id: 1546163
      {'degree': 4, 'field': [726, 0, 44, 0, 1], 'lmfdb_label': '30976.a1', 'torsion': [6]}
    • id: 1546165
      {'degree': 8, 'field': [5327, 2928, 1016, 88, -54, -40, 0, 0, 1], 'lmfdb_label': '30976.a1', 'torsion': [2, 4]}
    • id: 1546168
      {'degree': 8, 'field': [14641, 0, 0, 0, -484, 0, 0, 0, 1], 'lmfdb_label': '30976.a1', 'torsion': [2, 6]}
    • id: 1546167
      {'degree': 8, 'field': [131769, 0, -31944, 0, 1936, 0, 0, 0, 1], 'lmfdb_label': '30976.a1', 'torsion': [2, 6]}
    • id: 1546166
      {'degree': 8, 'field': [527076, 0, -31944, 0, 1210, 0, -44, 0, 1], 'lmfdb_label': '30976.a1', 'torsion': [3, 6]}
    • id: 1546169
      {'degree': 12, 'field': [42517464, 0, 0, 0, 351384, 0, -10648, 0, 726, 0, -44, 0, 1], 'lmfdb_label': '30976.a1', 'torsion': [18]}
    • id: 1546171
      {'degree': 16, 'field': [196, 0, -38960, 0, -3928, 0, 9120, 0, 5728, 0, 104, 0, -140, 0, -8, 0, 1], 'lmfdb_label': '30976.a1', 'torsion': [2, 8]}
    • id: 1546173
      {'degree': 16, 'field': [1922017, -10940584, 23532824, -16692216, 18584704, -6638728, 5511028, -1055736, 831204, -79976, 71128, -2896, 3500, -40, 92, 0, 1], 'lmfdb_label': '30976.a1', 'torsion': [2, 12]}
    • id: 1546174
      {'degree': 16, 'field': [5054641, 8382280, -9662240, -11042688, 6542012, 5859984, -1969372, -1513040, 305688, 200392, -28480, -14040, 1696, 512, -60, -8, 1], 'lmfdb_label': '30976.a1', 'torsion': [2, 12]}
    • id: 1546170
      {'degree': 16, 'field': [15588241, -20618488, 9019704, -1245728, 800360, -950312, 322600, -43296, 29126, -16808, 3416, -352, 264, -88, 8, 0, 1], 'lmfdb_label': '30976.a1', 'torsion': [4, 4]}
    • id: 1546172
      {'degree': 16, 'field': [214358881, 0, 0, 0, -7086244, 0, 0, 0, 219615, 0, 0, 0, -484, 0, 0, 0, 1], 'lmfdb_label': '30976.a1', 'torsion': [6, 6]}
    • id: 1546175
      {'degree': 20, 'field': [5153632, 0, -2811072, 0, 489808, 0, 538208, 0, -56320, 0, 1792, 0, 4684, 0, -72, 0, 90, 0, -4, 0, 1], 'lmfdb_label': '30976.a1', 'torsion': [22]}
  • ec_localdata • Show schema
    • id: 722606
      {'conductor': 30976, 'conductor_valuation': 8, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '30976.a1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
    • id: 722607
      {'conductor': 30976, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '30976.a1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • lmfdb_label 30976.a1 does not appear in ec_galrep
  • lmfdb_iso 30976.a does not appear in ec_padic