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ec_curvedata • Show schema
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{'Ciso': '187200h', 'Clabel': '187200h2', 'Cnumber': 2, 'abc_quality': 1.0047826049605149, 'absD': 40875134976000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 520, 'ainvs': [0, 0, 0, -8940, -106000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 187200, 'degree': 458752, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3038264395785930802667456960', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2], 'jinv': [26463592, 13689], 'lmfdb_iso': '187200.bm', 'lmfdb_label': '187200.bm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -248, -408], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '104.6.0.?', '260.6.0.?', '520.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6115250549315620228870204379', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51427315856391849585260690759', 'prec': 107}, 'szpiro_ratio': 3.2049992483755134, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, 0, 0, -4, 2, 1, 0, 2, -2, 10, -4, -6, 6, 8, 12, 14, -6, -2, -4, 0, -14, 0, 12, -6, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 187200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '187200.bm', 'trace_hash': 46034813914995534}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.073707340931980595022901136747', 'prec': 107}, 'conductor': 187200, 'gens': [[-56, 468, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6115250549315620228870204379', 'prec': 100}], 'lmfdb_label': '187200.bm1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.51940160765112957418248839682', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6962296344122257000775071818995829219', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[100, 0, 1]], 'xcoord_integral_points': [-56, -35, 100]}
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lmfdb_label 187200.bm1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8249324
{'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '187200.bm1', 'torsion': [2, 2]}
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id: 8249325
{'degree': 4, 'field': [-14, 34, -19, -1, 1], 'lmfdb_label': '187200.bm1', 'torsion': [4]}
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id: 8249328
{'degree': 8, 'field': [-2700, 0, -67800, 0, 180, 0, 0, 0, 1], 'lmfdb_label': '187200.bm1', 'torsion': [6]}
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id: 8249327
{'degree': 8, 'field': [576, 2304, 648, -2640, 481, 290, -73, -2, 1], 'lmfdb_label': '187200.bm1', 'torsion': [2, 4]}
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id: 8249326
{'degree': 8, 'field': [24336, 0, -672, 0, 304, 0, -8, 0, 1], 'lmfdb_label': '187200.bm1', 'torsion': [2, 4]}
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id: 8249330
{'degree': 16, 'field': [19802500, 0, -59610000, 0, 67258000, 0, -28811000, 0, 3187500, 0, -100400, 0, -1340, 0, 60, 0, 1], 'lmfdb_label': '187200.bm1', 'torsion': [2, 6]}
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id: 8249329
{'degree': 16, 'field': [70992496, -277472704, 31568192, 141556096, 49459928, -8324384, -17667624, -634272, 2194303, 208836, -177486, -13040, 7523, 352, -142, -4, 1], 'lmfdb_label': '187200.bm1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 4630896
{'conductor': 187200, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '187200.bm1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 4630897
{'conductor': 187200, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '187200.bm1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 4630898
{'conductor': 187200, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '187200.bm1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 4630899
{'conductor': 187200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '187200.bm1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2866221
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [41, 4, 82, 9], [1, 4, 0, 1], [457, 66, 64, 455], [2, 1, 259, 0], [517, 4, 516, 5], [108, 1, 103, 0]], 'adelic_image': '520.12.0.?', 'conductor': 187200, 'lmfdb_label': '187200.bm1', 'prime': 0}
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id: 699000
{'conductor': 187200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '187200.bm1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 187200.bm does not appear in ec_padic