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ec_curvedata • Show schema
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{'Ciso': '6930q', 'Clabel': '6930q4', 'Cnumber': 4, 'abc_quality': 0.9822514390179332, 'absD': 5932680982593750, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [1, -1, 0, -218079, 39427803], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 6930, 'degree': 82944, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8725899355142528671910083475', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-1573398910560073969, 8138108343750], 'lmfdb_iso': '6930.p', 'lmfdb_label': '6930.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -24231, -1460289], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '24.48.0-24.cb.1.15', '1540.6.0.?', '4620.48.0.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.98619519273464716296585744175', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3232837911801980214933857290', 'prec': 100}, 'szpiro_ratio': 5.484221230659939, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 1, 0, 1, -1, 0, -1, 1, 0, -4, -1, 0, 1, 0, 0, 8, 1], 'aplist': [-1, 0, 1, 1, 1, -4, 0, 8, -6, -6, -4, 8, -6, -4, -12, -6, 12, -10, -10, 0, 14, 8, 0, 12, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 6930, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '6930.p', 'trace_hash': 347845622162890031}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.023631378065098026536178546513', 'prec': 107}, 'conductor': 6930, 'gens': [[459, 5760, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.98619519273464716296585744175', 'prec': 103}], 'lmfdb_label': '6930.p2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.42799370292970511463243075538', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3766826587998068612229752735106838971', 'prec': 130}, 'tamagawa_product': 288, 'torsion_generators': [[327, 1569, 1]], 'xcoord_integral_points': [-333, 117, 217, 273, 327, 459, 2637]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 1], '3': 'a', '5': [4, 0], '7': [2, 0], '11': [2, 0], '13': [3, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [3, 0], '31': [3, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6930.p2'}
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ec_torsion_growth • Show schema
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id: 363962
{'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '6930.p2', 'torsion': [2, 6]}
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id: 363963
{'degree': 4, 'field': [-24, 0, 38, 0, 1], 'lmfdb_label': '6930.p2', 'torsion': [12]}
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id: 363964
{'degree': 6, 'field': [2352, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '6930.p2', 'torsion': [3, 6]}
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id: 363966
{'degree': 8, 'field': [34596, 0, 6480, 0, 258, 0, 0, 0, 1], 'lmfdb_label': '6930.p2', 'torsion': [2, 12]}
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id: 363965
{'degree': 8, 'field': [46656, 0, 15360, 0, 2068, 0, 100, 0, 1], 'lmfdb_label': '6930.p2', 'torsion': [2, 12]}
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id: 363967
{'degree': 9, 'field': [-13383468, -2000376, 571536, -258930, -4914, -2268, -701, 51, 0, 1], 'lmfdb_label': '6930.p2', 'torsion': [18]}
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id: 363968
{'degree': 12, 'field': [87025, -1770, -4389, 11710, -4320, -1890, 729, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '6930.p2', 'torsion': [6, 6]}
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id: 363969
{'degree': 16, 'field': [6222829593600, 0, 1393396070400, 0, 81539720080, 0, 1325196880, 0, -26467084, 0, -998816, 0, -4144, 0, 124, 0, 1], 'lmfdb_label': '6930.p2', 'torsion': [24]}
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id: 363970
{'degree': 18, 'field': [285261759246960, -80804962821600, 3650747144400, -4335764346576, 1045623574296, -340178297184, 152416836972, 5765430960, 2386973016, 358134156, 36586656, 1752732, -51785, -106566, 3033, -1402, 156, 0, 1], 'lmfdb_label': '6930.p2', 'torsion': [2, 18]}
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ec_localdata • Show schema
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id: 141437
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6930.p2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 141438
{'conductor': 6930, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '6930.p2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 141439
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '6930.p2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 141440
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.p2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 141441
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '6930.p2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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ec_galrep • Show schema
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id: 1709804
{'adelic_gens': [[2521, 12, 5886, 73], [10, 3, 4593, 9232], [11, 2, 9190, 9231], [7690, 9237, 3107, 8], [5281, 12, 3966, 73], [1, 0, 12, 1], [9229, 12, 9228, 13], [1, 6, 6, 37], [6555, 5008, 6518, 4997], [3697, 12, 3702, 73], [1, 12, 0, 1]], 'adelic_image': '9240.96.1.?', 'conductor': 6930, 'lmfdb_label': '6930.p2', 'prime': 0}
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id: 34264
{'conductor': 6930, 'elladic_image': '2.3.0.1', 'lmfdb_label': '6930.p2', 'modell_image': '2B', 'prime': 2}
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id: 34265
{'conductor': 6930, 'elladic_image': '3.8.0.1', 'lmfdb_label': '6930.p2', 'modell_image': '3B.1.1', 'prime': 3}
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ec_padic • Show schema
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id: 278833
{'lmfdb_iso': '6930.p', 'p': 13, 'prec': 20, 'unit': 99737061716202058192, 'val': 2}
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id: 278836
{'lmfdb_iso': '6930.p', 'p': 19, 'prec': 20, 'unit': 748099971513236526835588, 'val': 1}
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id: 278839
{'lmfdb_iso': '6930.p', 'p': 23, 'prec': 20, 'unit': 16411247816125920722828745, 'val': 1}
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id: 278832
{'lmfdb_iso': '6930.p', 'p': 29, 'prec': 20, 'unit': 15719922830990956196899181, 'val': 2}
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id: 278843
{'lmfdb_iso': '6930.p', 'p': 31, 'prec': 20, 'unit': 81732196949663385914988619, 'val': 2}
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id: 278829
{'lmfdb_iso': '6930.p', 'p': 37, 'prec': 20, 'unit': 208566006203679985449571533925, 'val': 1}
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id: 278830
{'lmfdb_iso': '6930.p', 'p': 41, 'prec': 20, 'unit': 56696913966395132022861271474, 'val': 2}
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id: 278831
{'lmfdb_iso': '6930.p', 'p': 43, 'prec': 20, 'unit': 4732099431175365009264742335113, 'val': 1}
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id: 278841
{'lmfdb_iso': '6930.p', 'p': 47, 'prec': 20, 'unit': 8140727872503610316479061978121, 'val': 1}
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id: 278837
{'lmfdb_iso': '6930.p', 'p': 53, 'prec': 20, 'unit': 552808263192962549557596515996760, 'val': 1}
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id: 278835
{'lmfdb_iso': '6930.p', 'p': 59, 'prec': 20, 'unit': 662815120216425184140696419518545, 'val': 1}
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id: 278842
{'lmfdb_iso': '6930.p', 'p': 61, 'prec': 20, 'unit': 3675461671421381065713778357751850, 'val': 1}
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id: 278828
{'lmfdb_iso': '6930.p', 'p': 67, 'prec': 20, 'unit': 7722426128035785274452527762340702, 'val': 1}
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id: 278838
{'lmfdb_iso': '6930.p', 'p': 73, 'prec': 20, 'unit': 122927099906305404023092147214057476, 'val': 1}
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id: 278834
{'lmfdb_iso': '6930.p', 'p': 79, 'prec': 20, 'unit': 934381262165918131176994085249410208, 'val': 1}
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id: 278840
{'lmfdb_iso': '6930.p', 'p': 89, 'prec': 20, 'unit': 2416714057141794644936642099599651098, 'val': 1}
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id: 278827
{'lmfdb_iso': '6930.p', 'p': 97, 'prec': 20, 'unit': 17653881539642064918253418465025534666, 'val': 1}