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ec_curvedata • Show schema
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{'Ciso': '75456u', 'Clabel': '75456u2', 'Cnumber': 2, 'abc_quality': 0.9272792801593637, 'absD': 10310805130051584, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 3144, 'ainvs': [0, 0, 0, -83244, 7847984], 'analytic_rank': 0, 'bad_primes': [2, 3, 131], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 75456, 'degree': 700416, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7947618414153597483835893363', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 7, 'isogeny_degrees': [1, 3], 'jinv': [333822098953, 53954184], 'lmfdb_iso': '75456.h', 'lmfdb_label': '75456.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -145, -580], 'min_quad_twist_disc': -24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.2', '786.8.0.?', '3144.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.20573492624138693856011853565', 'prec': 103}, 'szpiro_ratio': 4.06027590717428, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -3, 0, 5, 0, 0, 0, 3, 0, -2, 0, 0, 0, 3, 0, 4, 0], 'aplist': [0, 0, -3, 5, 3, -2, 3, 4, 3, 6, 2, 1, -12, -8, -9, 9, 3, 10, 13, 15, 2, -4, 6, -6, -4], 'class_deg': 3, 'class_size': 2, 'conductor': 75456, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '75456.h', 'trace_hash': 284935420392994729}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.027611479113098122989736652657', 'prec': 107}, 'conductor': 75456, 'gens': [], 'heights': [], 'lmfdb_label': '75456.h1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.38869990128847220230550268462', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1095992103077776184440214769768078113', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [2, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0], '131': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '75456.h1'}
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ec_torsion_growth • Show schema
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id: 3567097
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '75456.h1', 'torsion': [3]}
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id: 3567098
{'degree': 3, 'field': [-8, -16, -1, 1], 'lmfdb_label': '75456.h1', 'torsion': [2]}
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id: 3567101
{'degree': 6, 'field': [-36, -12, 55, 0, -16, 0, 1], 'lmfdb_label': '75456.h1', 'torsion': [6]}
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id: 3567099
{'degree': 6, 'field': [-8, -8, 110, -56, -55, -2, 1], 'lmfdb_label': '75456.h1', 'torsion': [2, 2]}
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id: 3567100
{'degree': 6, 'field': [24, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '75456.h1', 'torsion': [3]}
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id: 3567102
{'degree': 12, 'field': [-17137, -20136, -13756, 1436, 9363, -3440, -888, 936, -227, 88, -12, -4, 1], 'lmfdb_label': '75456.h1', 'torsion': [4]}
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id: 3567103
{'degree': 12, 'field': [121, 396, 564, 432, 6, -72, 62, -72, 24, 0, 6, 0, 1], 'lmfdb_label': '75456.h1', 'torsion': [3, 3]}
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id: 3567104
{'degree': 12, 'field': [576, -5760, 5184, 18912, -2228, -17304, -5672, 2364, 1101, -84, -62, 0, 1], 'lmfdb_label': '75456.h1', 'torsion': [2, 6]}
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id: 3567106
{'degree': 18, 'field': [531441, 0, 0, -118098, 0, 0, 21627, 0, 0, -2484, 0, 0, 267, 0, 0, -18, 0, 0, 1], 'lmfdb_label': '75456.h1', 'torsion': [6]}
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id: 3567105
{'degree': 18, 'field': [3389272892, 6805360920, 3472011996, 311000812, 135358794, 423045636, 294610913, -38050260, -59036052, 20447528, 11016183, -1809372, -771578, 80172, 28683, -524, -312, 0, 1], 'lmfdb_label': '75456.h1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 1833275
{'conductor': 75456, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '75456.h1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 1833276
{'conductor': 75456, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '75456.h1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1833277
{'conductor': 75456, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '75456.h1', 'prime': 131, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2162467
{'adelic_gens': [[1705, 6, 1971, 19], [1571, 3138, 1569, 3125], [4, 3, 9, 7], [2359, 6, 0, 1], [3139, 6, 3138, 7], [1, 6, 0, 1], [1438, 1701, 3143, 2750], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '3144.16.0.?', 'conductor': 75456, 'lmfdb_label': '75456.h1', 'prime': 0}
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id: 311647
{'conductor': 75456, 'elladic_image': '3.4.0.1', 'lmfdb_label': '75456.h1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 75456.h does not appear in ec_padic