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ec_curvedata • Show schema
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{'Ciso': '76230o', 'Clabel': '76230o1', 'Cnumber': 1, 'abc_quality': 0.950537079823157, 'absD': 12225767400000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 9240, 'ainvs': [1, -1, 0, -44325, -3576875], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 76230, 'degree': 276480, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4194602312172436225818744522', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [9925899473771, 12600000], 'lmfdb_iso': '76230.g', 'lmfdb_label': '76230.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -4925, 130835], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '264.6.0.?', '770.6.0.?', '840.6.0.?', '9240.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27068026868359614086876593925', 'prec': 103}, 'szpiro_ratio': 3.8884034882040637, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, -1, 0, -1, -1, 0, 1, 0, 0, -2, 1, 0, 1, 2, 0, 4, -1], 'aplist': [-1, 0, -1, -1, 0, -2, 2, 4, -8, 4, 2, -4, 6, 0, 8, 2, 6, 6, -4, 16, 16, -16, 4, 12, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 76230, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '76230.g', 'trace_hash': 1604784440348778703}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.058488772722628891868767688382', 'prec': 107}, 'conductor': 76230, 'gens': [], 'heights': [], 'lmfdb_label': '76230.g1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.32905615122479273312879988523', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3162246048991709325151995409292364093', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-118, 59, 1]], 'xcoord_integral_points': [-118]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': 'a', '5': [0, 0], '7': [0, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '76230.g1'}
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ec_torsion_growth • Show schema
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id: 3603354
{'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '76230.g1', 'torsion': [2, 2]}
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id: 3603355
{'degree': 4, 'field': [385, 0, -22, 0, 1], 'lmfdb_label': '76230.g1', 'torsion': [4]}
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id: 3603357
{'degree': 8, 'field': [439201, 426384, 146638, 364, 443, 356, 18, -4, 1], 'lmfdb_label': '76230.g1', 'torsion': [2, 4]}
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id: 3603358
{'degree': 8, 'field': [570064, 23496, -85943, 26785, -4197, 538, -53, -3, 1], 'lmfdb_label': '76230.g1', 'torsion': [6]}
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id: 3603356
{'degree': 8, 'field': [2383936, 0, -111352, 0, 3489, 0, -118, 0, 1], 'lmfdb_label': '76230.g1', 'torsion': [2, 4]}
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id: 3603360
{'degree': 16, 'field': [83086336, -138267264, -188939616, 53801024, 30215032, -58202508, 14829060, 36737657, -3186153, -2299879, 487605, -20496, 7762, -1123, 21, -3, 1], 'lmfdb_label': '76230.g1', 'torsion': [2, 6]}
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id: 3603359
{'degree': 16, 'field': [2719237278121, 0, 379426390188, 0, 37351345246, 0, 2265886848, 0, 78784575, 0, 990072, 0, 226, 0, 12, 0, 1], 'lmfdb_label': '76230.g1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 1853041
{'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '76230.g1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1853042
{'conductor': 76230, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '76230.g1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1853043
{'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '76230.g1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1853044
{'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '76230.g1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1853045
{'conductor': 76230, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '76230.g1', 'prime': 11, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2167819
{'adelic_gens': [[844, 1, 6719, 0], [1, 2, 2, 5], [1, 4, 0, 1], [4621, 4, 2, 9], [6161, 4, 3082, 9], [1322, 1, 3959, 0], [1, 0, 4, 1], [8089, 1156, 3464, 5775], [7394, 1, 5543, 0], [3, 4, 8, 11], [9237, 4, 9236, 5]], 'adelic_image': '9240.12.0.?', 'conductor': 76230, 'lmfdb_label': '76230.g1', 'prime': 0}
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id: 315068
{'conductor': 76230, 'elladic_image': '2.3.0.1', 'lmfdb_label': '76230.g1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 76230.g does not appear in ec_padic