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ec_curvedata • Show schema
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{'Ciso': '178752du', 'Clabel': '178752du1', 'Cnumber': 1, 'abc_quality': 1.0378927665403548, 'absD': 7677663924691427917824, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 24, 'ainvs': [0, -1, 0, 4179999, 2635353729], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 178752, 'degree': 10838016, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8865207889177865449546406900', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 51, 'isogeny_degrees': [1], 'jinv': [628805222251722551, 597713542447104], 'lmfdb_iso': '178752.bz', 'lmfdb_label': '178752.bz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 65313, -5122683], 'min_quad_twist_disc': -8, 'modell_images': [], 'modm_images': ['24.2.0.b.1'], 'nonmax_primes': [], 'nonmax_rad': 1, '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': '1.5224816599019830299779003839', 'prec': 100}, 'szpiro_ratio': 4.742205307810266, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 3, 0, -4, 0, 1, 0, 4, 0, 1, 0], 'aplist': [0, -1, -1, 0, 3, -4, 4, 1, 4, 7, 7, 4, -12, -6, 10, -13, 1, 14, -2, -14, -10, 1, -15, 6, -3], 'class_deg': 1, 'class_size': 1, 'conductor': 178752, 'isogeny_matrix': [[1]], 'lmfdb_iso': '178752.bz', 'trace_hash': 224292205577724809}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0031102829449816183160448460501', 'prec': 110}, 'conductor': 178752, 'gens': [], 'heights': [], 'lmfdb_label': '178752.bz1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.086420786487506937459695178566', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3827325838001109993551228570583345119', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 178752.bz1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7914783
{'degree': 3, 'field': [-6, -2, -1, 1], 'lmfdb_label': '178752.bz1', 'torsion': [2]}
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id: 7914784
{'degree': 6, 'field': [6, 0, 13, 0, 16, 0, 1], 'lmfdb_label': '178752.bz1', 'torsion': [2, 2]}
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id: 7914785
{'degree': 8, 'field': [-37632, 0, -14840, 0, -672, 0, 0, 0, 1], 'lmfdb_label': '178752.bz1', 'torsion': [3]}
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id: 7914786
{'degree': 12, 'field': [-48, 66, -326, 446, -458, 178, -134, 130, -94, 9, 17, -3, 1], 'lmfdb_label': '178752.bz1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 4423720
{'conductor': 178752, 'conductor_valuation': 6, 'discriminant_valuation': 39, 'j_denominator_valuation': 21, 'kodaira_symbol': -33, 'lmfdb_label': '178752.bz1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 4423721
{'conductor': 178752, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '178752.bz1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 4423722
{'conductor': 178752, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '178752.bz1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 4423723
{'conductor': 178752, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '178752.bz1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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{'adelic_gens': [[7, 2, 0, 1], [1, 2, 0, 1], [17, 2, 17, 3], [1, 0, 2, 1], [23, 2, 22, 3], [13, 2, 13, 3], [1, 1, 23, 0]], 'adelic_image': '24.2.0.?', 'conductor': 178752, 'lmfdb_label': '178752.bz1', 'prime': 0}
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lmfdb_iso 178752.bz does not appear in ec_padic