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ec_curvedata • Show schema
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{'Ciso': '13650bq', 'Clabel': '13650bq7', 'Cnumber': 7, 'abc_quality': 1.0247428306933901, 'absD': 3863523193359375000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [1, 1, 1, -56641963, -164076311719], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 13650, 'degree': 1990656, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1426458373605506178536074466', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1286229821345376481036009, 247265484375000000], 'lmfdb_iso': '13650.bs', 'lmfdb_label': '13650.bs1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2265679, -1312610494], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.1', '15.8.0-3.a.1.1', '30.24.0-6.a.1.1', '56.12.0-4.c.1.5', '60.96.0-12.c.1.8', '156.96.1.?', '168.96.0.?', '260.12.0.?', '780.192.1.?', '840.192.1.?', '2184.192.1.?', '3640.24.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3379268811435004305532277800', 'prec': 100}, 'szpiro_ratio': 6.844553968809166, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -1, 1, 0, -1, -1, 1, 1, 0, 0, -1, -1, -1, 0, 1, 6, 1, -4, 0], 'aplist': [1, -1, 0, -1, 0, -1, 6, -4, 0, 6, 8, -2, 6, -8, -12, 6, -12, 14, 4, -12, -2, 8, 0, 6, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 13650, 'isogeny_matrix': [[1, 4, 12, 2, 3, 6, 12, 4], [4, 1, 3, 2, 12, 6, 12, 4], [12, 3, 1, 6, 4, 2, 4, 12], [2, 2, 6, 1, 6, 3, 6, 2], [3, 12, 4, 6, 1, 2, 4, 12], [6, 6, 2, 3, 2, 1, 2, 6], [12, 12, 4, 6, 4, 2, 1, 3], [4, 4, 12, 2, 12, 6, 3, 1]], 'lmfdb_iso': '13650.bs', 'trace_hash': 1894584412720834662}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0018635133507653372160306381341', 'prec': 110}, 'conductor': 13650, 'gens': [], 'heights': [], 'lmfdb_label': '13650.bs1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.055032594826758714654344234559', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6415645516844183034085232588437140506', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-17565, 17561, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 1], '3': [0, 1], '5': 'a', '7': [0, 0], '13': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '13650.bs1'}
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ec_torsion_growth • Show schema
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id: 702821
{'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '13650.bs1', 'torsion': [2, 2]}
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id: 702823
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '13650.bs1', 'torsion': [12]}
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id: 702822
{'degree': 2, 'field': [65, 0, 1], 'lmfdb_label': '13650.bs1', 'torsion': [4]}
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id: 702824
{'degree': 4, 'field': [676, 0, 13, 0, 1], 'lmfdb_label': '13650.bs1', 'torsion': [2, 12]}
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id: 702825
{'degree': 6, 'field': [524, -192, 63, -37, 0, -3, 1], 'lmfdb_label': '13650.bs1', 'torsion': [6]}
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id: 702826
{'degree': 8, 'field': [-140, 620, -566, -94, 13, 38, -8, -4, 1], 'lmfdb_label': '13650.bs1', 'torsion': [2, 4]}
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id: 702827
{'degree': 8, 'field': [241081, 0, 11680, 0, 2582, 0, -80, 0, 1], 'lmfdb_label': '13650.bs1', 'torsion': [8]}
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id: 702828
{'degree': 8, 'field': [389376, 0, -29016, 0, 732, 0, 6, 0, 1], 'lmfdb_label': '13650.bs1', 'torsion': [24]}
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id: 702829
{'degree': 12, 'field': [274576, -100608, 3852, 26680, -3135, -3903, 1841, 186, -174, 74, 9, -3, 1], 'lmfdb_label': '13650.bs1', 'torsion': [3, 12]}
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id: 702831
{'degree': 12, 'field': [12336596, -12970008, 9820236, -3008988, 880389, -283632, 60175, -9390, 2712, -296, 87, -6, 1], 'lmfdb_label': '13650.bs1', 'torsion': [12]}
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id: 702830
{'degree': 12, 'field': [2383097044, 1066758288, -359816724, -99650560, 28142169, 4077132, -1043581, -92022, 21408, 1096, -225, -6, 1], 'lmfdb_label': '13650.bs1', 'torsion': [2, 6]}
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id: 702832
{'degree': 16, 'field': [19600, 0, 225920, 0, 433276, 0, 68432, 0, 21049, 0, 3536, 0, 394, 0, 32, 0, 1], 'lmfdb_label': '13650.bs1', 'torsion': [4, 12]}
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id: 702833
{'degree': 16, 'field': [520934976, 0, 207625680, 0, 112365873, 0, -17914824, 0, 771939, 0, 19584, 0, -909, 0, 24, 0, 1], 'lmfdb_label': '13650.bs1', 'torsion': [2, 24]}
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id: 702834
{'degree': 16, 'field': [49738791456, 26338474944, -21136190256, -10486219536, 5446447084, -241509624, 75487788, 5985272, -3543199, 1270640, -161992, -47968, 6114, 840, -100, -8, 1], 'lmfdb_label': '13650.bs1', 'torsion': [2, 24]}
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id: 702835
{'degree': 18, 'field': [2540239165310400, -594335498004000, 72249909188400, -140001060188940, 60964160086260, -10144996653180, 318533268136, 111307734444, -9147569346, -657636185, 98442045, 16403544, -1103304, -57294, 15990, -1340, -6, -9, 1], 'lmfdb_label': '13650.bs1', 'torsion': [36]}
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ec_localdata • Show schema
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id: 298340
{'conductor': 13650, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '13650.bs1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 298341
{'conductor': 13650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '13650.bs1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 298342
{'conductor': 13650, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '13650.bs1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 298343
{'conductor': 13650, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '13650.bs1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 298344
{'conductor': 13650, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '13650.bs1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1754659
{'adelic_gens': [[3201, 5008, 10916, 2189], [1, 12, 12, 145], [15, 106, 9614, 1691], [8206, 21, 7905, 10546], [7801, 24, 6252, 289], [1696, 3, 4581, 10834], [10897, 24, 10896, 25], [1, 24, 0, 1], [2183, 10896, 4356, 10631], [7296, 9113, 6191, 594], [1, 0, 24, 1]], 'adelic_image': '10920.384.5.?', 'conductor': 13650, 'lmfdb_label': '13650.bs1', 'prime': 0}
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id: 64675
{'conductor': 13650, 'elladic_image': '4.6.0.1', 'lmfdb_label': '13650.bs1', 'modell_image': '2B', 'prime': 2}
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id: 64676
{'conductor': 13650, 'elladic_image': '3.4.0.1', 'lmfdb_label': '13650.bs1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 13650.bs does not appear in ec_padic