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ec_curvedata • Show schema
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{'Ciso': '30576cy', 'Clabel': '30576cy1', 'Cnumber': 1, 'abc_quality': 0.984928576214685, 'absD': 4209793695744, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2184, 'ainvs': [0, 1, 0, -5896, -202252], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 30576, 'degree': 46080, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1468470508681900417667188040', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 59, 'isogeny_degrees': [1], 'jinv': [-47045881, 8736], 'lmfdb_iso': '30576.ch', 'lmfdb_label': '30576.ch1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -8, -10], 'min_quad_twist_disc': 28, 'modell_images': [], 'modm_images': ['2184.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6895408697641026411327029795', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51925520421941192020318968918', 'prec': 107}, 'szpiro_ratio': 3.673340671493309, '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, 1, 0, -1, 0, -5, 0, 1, 0], 'aplist': [0, 1, -1, 0, -3, 1, -5, 1, -3, 5, 4, -5, 8, 1, 8, 6, 0, -13, 10, -8, 15, -6, -2, 2, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 30576, 'isogeny_matrix': [[1]], 'lmfdb_iso': '30576.ch', 'trace_hash': 647746788459931889}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.10089306335196734698758016574', 'prec': 103}, 'conductor': 30576, 'gens': [[94, 288, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6895408697641026411327029795', 'prec': 100}], 'lmfdb_label': '30576.ch1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26969369329795766075926659692', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.8028176835398574895159015041737569493', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [94]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [2, 0], '5': [3, 0], '7': 'a', '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '30576.ch1'}
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ec_torsion_growth • Show schema
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id: 1528387
{'degree': 3, 'field': [-9, 13, -1, 1], 'lmfdb_label': '30576.ch1', 'torsion': [2]}
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id: 1528388
{'degree': 6, 'field': [2328, -2136, 574, -20, -3, -2, 1], 'lmfdb_label': '30576.ch1', 'torsion': [2, 2]}
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id: 1528389
{'degree': 8, 'field': [-141267, 0, -35560, 0, -1302, 0, 0, 0, 1], 'lmfdb_label': '30576.ch1', 'torsion': [3]}
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id: 1528390
{'degree': 12, 'field': [-458016, 397488, 106392, -116064, 15800, -15832, 1660, 1096, 484, 74, 29, -4, 1], 'lmfdb_label': '30576.ch1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 713264
{'conductor': 30576, 'conductor_valuation': 4, 'discriminant_valuation': 17, 'j_denominator_valuation': 5, 'kodaira_symbol': -13, 'lmfdb_label': '30576.ch1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 713265
{'conductor': 30576, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '30576.ch1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 713266
{'conductor': 30576, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '30576.ch1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 713267
{'conductor': 30576, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '30576.ch1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[1457, 2, 1457, 3], [2017, 2, 2017, 3], [1, 0, 2, 1], [1093, 2, 1093, 3], [1, 2, 0, 1], [2183, 2, 2182, 3], [1249, 2, 1249, 3], [1639, 2, 1639, 3], [1, 1, 2183, 0]], 'adelic_image': '2184.2.0.?', 'conductor': 30576, 'lmfdb_label': '30576.ch1', 'prime': 0}
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ec_padic • Show schema
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id: 1482381
{'lmfdb_iso': '30576.ch', 'p': 5, 'prec': 20, 'unit': 3438301641991, 'val': 2}
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id: 1482388
{'lmfdb_iso': '30576.ch', 'p': 11, 'prec': 20, 'unit': 1334053885763724706, 'val': 1}
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id: 1482389
{'lmfdb_iso': '30576.ch', 'p': 17, 'prec': 20, 'unit': 230357849194998255782145, 'val': 1}
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id: 1482390
{'lmfdb_iso': '30576.ch', 'p': 19, 'prec': 20, 'unit': 690107601649177658156356, 'val': 0}
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id: 1482393
{'lmfdb_iso': '30576.ch', 'p': 23, 'prec': 20, 'unit': 63369915239267678342051005, 'val': 1}
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id: 1482386
{'lmfdb_iso': '30576.ch', 'p': 29, 'prec': 20, 'unit': 1749881100919760312935757221, 'val': 1}
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id: 1482383
{'lmfdb_iso': '30576.ch', 'p': 31, 'prec': 20, 'unit': 13527889345442590199937919560, 'val': 1}
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id: 1482397
{'lmfdb_iso': '30576.ch', 'p': 37, 'prec': 20, 'unit': 537616977251801423720486626490, 'val': 1}
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id: 1482384
{'lmfdb_iso': '30576.ch', 'p': 41, 'prec': 20, 'unit': 1296879905915883164845870156678, 'val': 1}
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id: 1482385
{'lmfdb_iso': '30576.ch', 'p': 43, 'prec': 20, 'unit': 69855796207529273824324996137247, 'val': -1}
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id: 1482387
{'lmfdb_iso': '30576.ch', 'p': 47, 'prec': 20, 'unit': 52939882766688825459677061076191, 'val': 1}
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id: 1482391
{'lmfdb_iso': '30576.ch', 'p': 53, 'prec': 20, 'unit': 461011569901104824925958372408109, 'val': 1}
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id: 1482396
{'lmfdb_iso': '30576.ch', 'p': 61, 'prec': 20, 'unit': 952875828933682100016460618927782, 'val': 1}
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id: 1482380
{'lmfdb_iso': '30576.ch', 'p': 67, 'prec': 20, 'unit': 39587321331237377419413102941470227, 'val': 1}
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id: 1482382
{'lmfdb_iso': '30576.ch', 'p': 71, 'prec': 20, 'unit': 70034143872981328604599263806677893, 'val': 1}
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id: 1482392
{'lmfdb_iso': '30576.ch', 'p': 73, 'prec': 20, 'unit': 169590092583258488625712381377771004, 'val': 1}
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id: 1482395
{'lmfdb_iso': '30576.ch', 'p': 79, 'prec': 20, 'unit': 1090200281390080625444267454247697406, 'val': 1}
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id: 1482379
{'lmfdb_iso': '30576.ch', 'p': 83, 'prec': 20, 'unit': 271367290103883809946223108059025929, 'val': 1}
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id: 1482394
{'lmfdb_iso': '30576.ch', 'p': 89, 'prec': 20, 'unit': 9678039105332893998793101287489180458, 'val': 1}
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id: 1482378
{'lmfdb_iso': '30576.ch', 'p': 97, 'prec': 20, 'unit': 2568683866900114928526470958884020110, 'val': 1}