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ec_curvedata • Show schema
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{'Ciso': '10164t', 'Clabel': '10164t1', 'Cnumber': 1, 'abc_quality': 0.9998549811849496, 'absD': 12480605093497985136, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 462, 'ainvs': [0, 1, 0, -2086322, -1172982219], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 10164, 'degree': 388800, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4747157866308271539054517743', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 3], 'jinv': [-35431687725461248, 440311012911], 'lmfdb_iso': '10164.p', 'lmfdb_label': '10164.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -17242, 875009], 'min_quad_twist_disc': -11, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '33.8.0-3.a.1.2', '42.8.0-3.a.1.1', '462.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0447190900449934454020692782', 'prec': 100}, 'szpiro_ratio': 5.992190612723724, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -3, 0, -1, 0, 1, 0, 0, 0, 7, 0, -3, 0, 6, 0, 1, 0], 'aplist': [0, 1, -3, -1, 0, 7, 6, 1, 0, 3, 2, 5, 12, -8, -3, -12, -3, 10, -13, -12, -11, -8, -6, 6, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 10164, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '10164.p', 'trace_hash': 1142718950943139304}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0070874364726593233679772294561', 'prec': 110}, 'conductor': 10164, 'gens': [], 'heights': [], 'lmfdb_label': '10164.p1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.062762885964395073410538893533', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2594638947182226427794001671830243490', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': [0, 0], '7': [0, 0], '11': 'a', '13': [0, 0], '17': [0, 0], '19': [2, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '10164.p1'}
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ec_torsion_growth • Show schema
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id: 527209
{'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '10164.p1', 'torsion': [3]}
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id: 527210
{'degree': 3, 'field': [3, 0, -1, 1], 'lmfdb_label': '10164.p1', 'torsion': [2]}
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id: 527212
{'degree': 6, 'field': [-1338, -228, 226, 5, -15, -1, 1], 'lmfdb_label': '10164.p1', 'torsion': [3]}
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id: 527213
{'degree': 6, 'field': [3, -3, 8, -4, 6, -2, 1], 'lmfdb_label': '10164.p1', 'torsion': [6]}
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id: 527211
{'degree': 6, 'field': [81, 27, 42, 15, 4, -2, 1], 'lmfdb_label': '10164.p1', 'torsion': [2, 2]}
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id: 527216
{'degree': 12, 'field': [9, 45, 120, -237, 295, -226, 94, -11, -16, 7, 4, -4, 1], 'lmfdb_label': '10164.p1', 'torsion': [2, 6]}
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id: 527214
{'degree': 12, 'field': [81, -702, 756, -3174, 2527, -1356, 304, 28, 15, 10, 4, -6, 1], 'lmfdb_label': '10164.p1', 'torsion': [4]}
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id: 527215
{'degree': 12, 'field': [1296, -6480, 11808, -5040, 1216, 24, -445, 201, 24, 21, -4, -3, 1], 'lmfdb_label': '10164.p1', 'torsion': [3, 3]}
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id: 527218
{'degree': 18, 'field': [-1077, -87, 2032, 190, -2997, -10057, 20656, -12657, 1630, -1119, 2758, -1239, 134, -133, 105, -12, -2, -3, 1], 'lmfdb_label': '10164.p1', 'torsion': [6]}
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id: 527217
{'degree': 18, 'field': [2691225, 7176762, 7796250, 2394684, 1185786, 2010015, 1669503, -14628, 467580, 104642, -2943, 26694, 539, 882, 426, -23, 33, -3, 1], 'lmfdb_label': '10164.p1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 215437
{'conductor': 10164, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '10164.p1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 215438
{'conductor': 10164, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '10164.p1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
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id: 215439
{'conductor': 10164, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '10164.p1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 215440
{'conductor': 10164, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '10164.p1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1731231
{'adelic_gens': [[199, 6, 135, 19], [4, 3, 9, 7], [78, 391, 157, 96], [251, 456, 291, 443], [457, 6, 456, 7], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '462.16.0.?', 'conductor': 10164, 'lmfdb_label': '10164.p1', 'prime': 0}
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id: 49046
{'conductor': 10164, 'elladic_image': '3.4.0.1', 'lmfdb_label': '10164.p1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 10164.p does not appear in ec_padic