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ec_curvedata • Show schema
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{'Ciso': '30576dc', 'Clabel': '30576dc2', 'Cnumber': 2, 'abc_quality': 0.9566415663757943, 'absD': 143659209867264, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 1, 0, -21184, 1030196], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 30576, 'degree': 110592, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4435013189581618066596843084', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2], 'jinv': [2181825073, 298116], 'lmfdb_iso': '30576.cg', 'lmfdb_label': '30576.cg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -27, 45], 'min_quad_twist_disc': 28, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '56.24.0-56.a.1.1', '312.24.0.?', '1092.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6148728992656227065083863948', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 10192], [7, 32, 624], [13, 14, 2352]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.22260093612944015531022418478', 'prec': 107}, 'szpiro_ratio': 4.017890440827841, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -2, 0, 0, 0, 1, 0, 4, 0, 1, 0, -2, 0, -6, 0, -4, 0], 'aplist': [0, 1, -2, 0, 4, 1, -6, -4, 0, -6, -8, 10, 6, -4, 4, 10, 4, 6, 8, 0, 10, 8, 4, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 30576, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '30576.cg', 'trace_hash': 1956311588067091295}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.055743044546873823481857708157', 'prec': 107}, 'conductor': 30576, 'gens': [[-68, 1470, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6148728992656227065083863948', 'prec': 100}], 'lmfdb_label': '30576.cg2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.55839172185869238163757993052', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.8404935226502485470954278985190662735', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[58, 0, 1], [107, 0, 1]], 'xcoord_integral_points': [-166, -68, 58, 107, 458]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [6, 0], '5': [1, 0], '7': 'a', '11': [3, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 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.cg2'}
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ec_torsion_growth • Show schema
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id: 1528438
{'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '30576.cg2', 'torsion': [2, 4]}
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id: 1528440
{'degree': 4, 'field': [49, 0, 0, 0, 1], 'lmfdb_label': '30576.cg2', 'torsion': [2, 4]}
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id: 1528439
{'degree': 4, 'field': [529, 0, -32, 0, 1], 'lmfdb_label': '30576.cg2', 'torsion': [2, 4]}
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id: 1528443
{'degree': 8, 'field': [-1503, 342, 786, 12, -12, -2, -12, 0, 1], 'lmfdb_label': '30576.cg2', 'torsion': [2, 6]}
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id: 1528441
{'degree': 8, 'field': [4096, 0, 0, 0, 401, 0, 0, 0, 1], 'lmfdb_label': '30576.cg2', 'torsion': [4, 4]}
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id: 1528442
{'degree': 8, 'field': [65536, 0, -51328, 0, 2628, 0, -64, 0, 1], 'lmfdb_label': '30576.cg2', 'torsion': [2, 8]}
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id: 1528445
{'degree': 16, 'field': [256, 0, 0, 0, -192, 0, 0, 0, 964, 0, 0, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '30576.cg2', 'torsion': [2, 8]}
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id: 1528446
{'degree': 16, 'field': [589824, 0, -4141056, 0, -1826816, 0, -517632, 0, 7680, 0, 5392, 0, -192, 0, 0, 0, 1], 'lmfdb_label': '30576.cg2', 'torsion': [2, 12]}
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id: 1528444
{'degree': 16, 'field': [1920542976, 0, 2634596352, 0, 786822144, 0, 89675520, 0, 4880992, 0, 137216, 0, 3072, 0, 80, 0, 1], 'lmfdb_label': '30576.cg2', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 713292
{'conductor': 30576, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '30576.cg2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 713293
{'conductor': 30576, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '30576.cg2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 713294
{'conductor': 30576, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '30576.cg2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 713295
{'conductor': 30576, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '30576.cg2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1868458
{'adelic_gens': [[1, 0, 4, 1], [2017, 4, 1850, 9], [545, 2180, 0, 2183], [1, 4, 0, 1], [621, 2182, 314, 1], [1093, 2, 0, 1], [2181, 4, 2180, 5], [1457, 4, 730, 9]], 'adelic_image': '2184.48.0.?', 'conductor': 30576, 'lmfdb_label': '30576.cg2', 'prime': 0}
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id: 137330
{'conductor': 30576, 'elladic_image': '4.12.0.1', 'lmfdb_label': '30576.cg2', 'modell_image': '2Cs', 'prime': 2}
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ec_padic • Show schema
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id: 1482458
{'lmfdb_iso': '30576.cg', 'p': 5, 'prec': 20, 'unit': 1804713466628, 'val': 1}
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id: 1482464
{'lmfdb_iso': '30576.cg', 'p': 11, 'prec': 20, 'unit': 3019605343677467365, 'val': 2}
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id: 1482465
{'lmfdb_iso': '30576.cg', 'p': 17, 'prec': 20, 'unit': 225610663376988236826194, 'val': 1}
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id: 1482466
{'lmfdb_iso': '30576.cg', 'p': 19, 'prec': 20, 'unit': 1495008405213677497340978, 'val': 1}
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id: 1482462
{'lmfdb_iso': '30576.cg', 'p': 29, 'prec': 20, 'unit': 4773922761547356845978768209, 'val': 1}
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id: 1482459
{'lmfdb_iso': '30576.cg', 'p': 31, 'prec': 20, 'unit': 9054175623478395712919443797, 'val': 1}
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id: 1482473
{'lmfdb_iso': '30576.cg', 'p': 37, 'prec': 20, 'unit': 468332179881335243979480772499, 'val': 1}
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id: 1482460
{'lmfdb_iso': '30576.cg', 'p': 41, 'prec': 20, 'unit': 3473341664880530061879181812671, 'val': 1}
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id: 1482461
{'lmfdb_iso': '30576.cg', 'p': 43, 'prec': 20, 'unit': 5568691234846755839783144904111, 'val': 1}
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id: 1482471
{'lmfdb_iso': '30576.cg', 'p': 47, 'prec': 20, 'unit': 16881465272669562186438499139183, 'val': 1}
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id: 1482467
{'lmfdb_iso': '30576.cg', 'p': 53, 'prec': 20, 'unit': 420784382713790710463597357853784, 'val': 1}
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id: 1482468
{'lmfdb_iso': '30576.cg', 'p': 59, 'prec': 20, 'unit': 2385667165910741872337028650727483, 'val': 1}
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id: 1482472
{'lmfdb_iso': '30576.cg', 'p': 61, 'prec': 20, 'unit': 7686599687701856921306354002656825, 'val': 1}
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id: 1482457
{'lmfdb_iso': '30576.cg', 'p': 67, 'prec': 20, 'unit': 23809169280072714299902716130341740, 'val': 1}
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id: 1482469
{'lmfdb_iso': '30576.cg', 'p': 73, 'prec': 20, 'unit': 16143249900404031705520054963197675, 'val': 1}
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id: 1482463
{'lmfdb_iso': '30576.cg', 'p': 79, 'prec': 20, 'unit': 648056136146180346929447119907592186, 'val': 1}
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id: 1482456
{'lmfdb_iso': '30576.cg', 'p': 83, 'prec': 20, 'unit': 1254943075248882388245602210418006272, 'val': 1}
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id: 1482470
{'lmfdb_iso': '30576.cg', 'p': 89, 'prec': 20, 'unit': 9200814632989685021168075665819976967, 'val': 1}
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id: 1482455
{'lmfdb_iso': '30576.cg', 'p': 97, 'prec': 20, 'unit': 42476813594628561701085401419883071586, 'val': 1}