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ec_curvedata • Show schema
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{'Ciso': '101430bo', 'Clabel': '101430bo2', 'Cnumber': 2, 'abc_quality': 0.8889971559752151, 'absD': 32013268163150400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 19320, 'ainvs': [1, -1, 0, -128340, -15429744], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 101430, 'degree': 1179648, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8939754107952789300126811178', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [2725812332209, 373262400], 'lmfdb_iso': '101430.bg', 'lmfdb_label': '101430.bg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -291, -1791], 'min_quad_twist_disc': 21, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '168.12.0.?', '184.12.0.?', '840.24.0.?', '920.24.0.?', '1932.12.0.?', '3864.24.0.?', '9660.24.0.?', '19320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.37171419193356743176238212762', 'prec': 103}, 'szpiro_ratio': 4.068744422231306, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, -1, 0, 0, -1, 0, 1, 4, 0, 2, 0, 0, 1, 6, 0, 4, -1], 'aplist': [-1, 0, -1, 0, 4, 2, 6, 4, 1, -2, -4, -6, 10, 4, -12, 6, -4, 14, -12, 12, -10, -8, -4, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 101430, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '101430.bg', 'trace_hash': 943754031939761683}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.022641951743964271181590693070', 'prec': 107}, 'conductor': 101430, 'gens': [], 'heights': [], 'lmfdb_label': '101430.bg3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.25452722758464802770612858455', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0362178206771842216490286764370650188', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-264, 132, 1], [408, -204, 1]], 'xcoord_integral_points': [-264, 408]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [7, 0], '3': 'a', '5': [0, 0], '7': 'a', '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '101430.bg3'}
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ec_torsion_growth • Show schema
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id: 4706054
{'degree': 4, 'field': [484, 0, -2, 0, 1], 'lmfdb_label': '101430.bg3', 'torsion': [2, 4]}
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id: 4706055
{'degree': 4, 'field': [1639, 86, -85, -2, 1], 'lmfdb_label': '101430.bg3', 'torsion': [2, 4]}
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id: 4706056
{'degree': 4, 'field': [14884, 0, -239, 0, 1], 'lmfdb_label': '101430.bg3', 'torsion': [2, 4]}
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id: 4706057
{'degree': 8, 'field': [-351216, -156288, -68885, -16476, -3120, -404, -12, 0, 1], 'lmfdb_label': '101430.bg3', 'torsion': [2, 6]}
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id: 4706060
{'degree': 16, 'field': [-202025, 1126400, -1211700, 113800, 97680, -221160, 134680, -55880, 19701, -5368, 2068, 144, -570, 224, -12, -8, 1], 'lmfdb_label': '101430.bg3', 'torsion': [2, 8]}
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id: 4706058
{'degree': 16, 'field': [190404036, 53288424, -56009700, 4635240, -201062, -2813064, 1386606, -370540, 71573, 19160, -9046, 2948, -552, 0, 20, -8, 1], 'lmfdb_label': '101430.bg3', 'torsion': [4, 4]}
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id: 4706059
{'degree': 16, 'field': [67777140928, 32572716288, 14515236800, 2830049536, 974511376, 110110016, 52853360, 9245632, 694588, -83536, 17000, 11776, 2476, -184, -40, 0, 1], 'lmfdb_label': '101430.bg3', 'torsion': [2, 8]}
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id: 4706061
{'degree': 16, 'field': [986495900625, 0, 457394973750, 0, 82843004625, 0, 2241572250, 0, 8742100, 0, 352550, 0, 12465, 0, 50, 0, 1], 'lmfdb_label': '101430.bg3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 2490784
{'conductor': 101430, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '101430.bg3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2490785
{'conductor': 101430, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '101430.bg3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2490786
{'conductor': 101430, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '101430.bg3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2490787
{'conductor': 101430, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '101430.bg3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2490788
{'conductor': 101430, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '101430.bg3', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2330463
{'adelic_gens': [[1, 4, 0, 1], [19317, 4, 19316, 5], [9663, 2, 19318, 19319], [16559, 19318, 0, 19319], [1, 0, 4, 1], [4831, 4, 9662, 9], [6721, 4, 13442, 9], [15457, 2, 0, 1], [6439, 19318, 0, 19319]], 'adelic_image': '19320.48.0.?', 'conductor': 101430, 'lmfdb_label': '101430.bg3', 'prime': 0}
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id: 407068
{'conductor': 101430, 'elladic_image': '2.6.0.1', 'lmfdb_label': '101430.bg3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 101430.bg does not appear in ec_padic