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ec_curvedata • Show schema
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{'Ciso': '30912j', 'Clabel': '30912j4', 'Cnumber': 4, 'abc_quality': 1.0314031463767745, 'absD': 16175579922432, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 184, 'ainvs': [0, -1, 0, -75969, -8031807], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 30912, 'degree': 131072, 'elladic_images': ['8.24.0.58'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5072434134032473625548551923', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [369937818893666, 123409881], 'lmfdb_iso': '30912.k', 'lmfdb_label': '30912.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -18992, -1013472], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.k.1.1', '184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 15, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.8686571822608831197110353278', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52528490760999150754710968690', 'prec': 103}, 'szpiro_ratio': 4.38420521263489, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -2, 0, 1, 0, 1, 0, 0, 0, -6, 0, 2, 0, -6, 0, 0, 0], 'aplist': [0, -1, -2, 1, 0, -6, -6, 0, -1, -6, 8, -10, -6, 8, 0, -2, -4, -10, -8, 0, 10, -16, 8, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 30912, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '30912.k', 'trace_hash': 1014469135940490866}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.049071010954176693326043626446', 'prec': 107}, 'conductor': 30912, 'gens': [[-159, 48, 1], [-157, 28, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3710896996637713017346652332', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.1583509521394841816238938139', 'prec': 100}], 'lmfdb_label': '30912.k1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.28757337238217703494856449265', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.5995953608889251090684013154229910799', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-161, 0, 1]], 'xcoord_integral_points': [-161, -159, -157, 323, 368, 417, 897, 1761]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [4, 0], '5': [2, 0], '7': [3, 0], '11': [2, 2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [4, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '30912.k1'}
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ec_torsion_growth • Show schema
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id: 1541366
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '30912.k1', 'torsion': [2, 2]}
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id: 1541368
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '30912.k1', 'torsion': [4]}
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id: 1541367
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '30912.k1', 'torsion': [4]}
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id: 1541369
{'degree': 4, 'field': [-882, 0, 0, 0, 1], 'lmfdb_label': '30912.k1', 'torsion': [2, 4]}
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id: 1541370
{'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '30912.k1', 'torsion': [2, 4]}
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id: 1541374
{'degree': 8, 'field': [-19683, 0, -2106, 0, -486, 0, 0, 0, 1], 'lmfdb_label': '30912.k1', 'torsion': [6]}
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id: 1541372
{'degree': 8, 'field': [2787, -406, -655, 142, 142, -46, 5, -2, 1], 'lmfdb_label': '30912.k1', 'torsion': [8]}
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id: 1541373
{'degree': 8, 'field': [50625, 0, -2700, 0, 72, 0, -12, 0, 1], 'lmfdb_label': '30912.k1', 'torsion': [8]}
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id: 1541371
{'degree': 8, 'field': [194481, 0, -37044, 0, 3528, 0, -84, 0, 1], 'lmfdb_label': '30912.k1', 'torsion': [4, 4]}
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id: 1541376
{'degree': 16, 'field': [2313441, 0, 0, 0, 133441, 0, 0, 0, -192, 0, 0, 0, -63, 0, 0, 0, 1], 'lmfdb_label': '30912.k1', 'torsion': [2, 8]}
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id: 1541377
{'degree': 16, 'field': [26873856, 0, -13436928, 0, 3359232, 0, -1143072, 0, 252801, 0, -15876, 0, 648, 0, -36, 0, 1], 'lmfdb_label': '30912.k1', 'torsion': [2, 8]}
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id: 1541379
{'degree': 16, 'field': [302725201, 0, -121561508, 0, 22101832, 0, 6596488, 0, 373558, 0, 124, 0, -860, 0, 16, 0, 1], 'lmfdb_label': '30912.k1', 'torsion': [12]}
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id: 1541380
{'degree': 16, 'field': [496131076, 0, -184674808, 0, 20257156, 0, -31696, 0, 158668, 0, 6212, 0, -944, 0, 8, 0, 1], 'lmfdb_label': '30912.k1', 'torsion': [12]}
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id: 1541378
{'degree': 16, 'field': [666827329, 0, 269242652, 0, 14857192, 0, -2030680, 0, 154534, 0, -8548, 0, -860, 0, -16, 0, 1], 'lmfdb_label': '30912.k1', 'torsion': [2, 6]}
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id: 1541375
{'degree': 16, 'field': [5103959364, 0, 0, 0, -504094752, 0, 0, 0, 721476, 0, 0, 0, -7056, 0, 0, 0, 1], 'lmfdb_label': '30912.k1', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 720239
{'conductor': 30912, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '30912.k1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 720240
{'conductor': 30912, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '30912.k1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 720241
{'conductor': 30912, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '30912.k1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 720242
{'conductor': 30912, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '30912.k1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1870477
{'adelic_gens': [[177, 8, 176, 9], [123, 116, 162, 29], [97, 8, 20, 33], [7, 6, 178, 179], [1, 0, 8, 1], [112, 15, 77, 90], [1, 4, 4, 17], [1, 8, 0, 1]], 'adelic_image': '184.48.0.?', 'conductor': 30912, 'lmfdb_label': '30912.k1', 'prime': 0}
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id: 138560
{'conductor': 30912, 'elladic_image': '8.24.0.58', 'lmfdb_label': '30912.k1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 1497933
{'lmfdb_iso': '30912.k', 'p': 5, 'prec': 20, 'unit': 3913415146497, 'val': 2}
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id: 1497924
{'lmfdb_iso': '30912.k', 'p': 13, 'prec': 20, 'unit': 210105395890725128577, 'val': 2}
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id: 1497926
{'lmfdb_iso': '30912.k', 'p': 17, 'prec': 20, 'unit': 129486459955858551576444, 'val': 2}
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id: 1497923
{'lmfdb_iso': '30912.k', 'p': 29, 'prec': 20, 'unit': 1515615420659238626765681438, 'val': 2}
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id: 1497920
{'lmfdb_iso': '30912.k', 'p': 31, 'prec': 20, 'unit': 17584642261411275064882270280, 'val': 2}
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id: 1497919
{'lmfdb_iso': '30912.k', 'p': 37, 'prec': 20, 'unit': 544657330288648423698891644022, 'val': 2}
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id: 1497921
{'lmfdb_iso': '30912.k', 'p': 41, 'prec': 20, 'unit': 1595836521563080399875460273837, 'val': 2}
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id: 1497922
{'lmfdb_iso': '30912.k', 'p': 43, 'prec': 20, 'unit': 451074851915706944971408663691, 'val': 2}
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id: 1497928
{'lmfdb_iso': '30912.k', 'p': 53, 'prec': 20, 'unit': 257293626035409774202509755151410, 'val': 2}
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id: 1497931
{'lmfdb_iso': '30912.k', 'p': 59, 'prec': 20, 'unit': 1585694640923105751144328460992513, 'val': 2}
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id: 1497932
{'lmfdb_iso': '30912.k', 'p': 61, 'prec': 20, 'unit': 2645313019192525360163639476251114, 'val': 2}
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id: 1497918
{'lmfdb_iso': '30912.k', 'p': 67, 'prec': 20, 'unit': 12180207495896420451188479807065811, 'val': 2}
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id: 1497929
{'lmfdb_iso': '30912.k', 'p': 73, 'prec': 20, 'unit': 33866261230680293293974270450944548, 'val': 2}
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id: 1497925
{'lmfdb_iso': '30912.k', 'p': 79, 'prec': 20, 'unit': 981104784297406702141979847613459531, 'val': 2}
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id: 1497927
{'lmfdb_iso': '30912.k', 'p': 83, 'prec': 20, 'unit': 1362455601297050656853390697924632405, 'val': 2}
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id: 1497930
{'lmfdb_iso': '30912.k', 'p': 89, 'prec': 20, 'unit': 6784586352186801200195932486663432383, 'val': 2}
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id: 1497917
{'lmfdb_iso': '30912.k', 'p': 97, 'prec': 20, 'unit': 34651303127948803256461132516371621327, 'val': 2}