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ec_curvedata • Show schema
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{'Ciso': '54096j', 'Clabel': '54096j1', 'Cnumber': 1, 'abc_quality': 0.9194583305759917, 'absD': 436230144, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 3864, 'ainvs': [0, -1, 0, -5336, 151824], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 54096, 'degree': 32256, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.76428513563120067760208657679', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1], 'jinv': [-23923707806, 621], 'lmfdb_iso': '54096.o', 'lmfdb_label': '54096.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -5336, -151824], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['3864.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.34064122921158958456225679200', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.35757731714591084897338105374', 'prec': 107}, 'szpiro_ratio': 3.4280384300056044, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -1, 0, 0, 0, 1, 0, -2, 0, 3, 0, 1, 0, 0, 0, -2, 0], 'aplist': [0, -1, -1, 0, -2, 3, 0, -2, 1, -5, 0, 1, 3, 7, -13, -6, 12, -4, 0, 8, 2, 10, 4, -16, -11], 'class_deg': 1, 'class_size': 1, 'conductor': 54096, 'isogeny_matrix': [[1]], 'lmfdb_iso': '54096.o', 'trace_hash': 1573576166608574945}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.21684547600069973578659014537', 'prec': 103}, 'conductor': 54096, 'gens': [[40, 28, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.34064122921158958456225679200', 'prec': 103}], 'lmfdb_label': '54096.o1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.5528239346869884123943908835', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2316468308876226747642639656919861807', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [40, 42, 208]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [2, 0], '29': [3, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '54096.o1'}
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ec_torsion_growth • Show schema
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id: 2615034
{'degree': 3, 'field': [24, 0, -1, 1], 'lmfdb_label': '54096.o1', 'torsion': [2]}
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id: 2615035
{'degree': 6, 'field': [7056, 2016, 942, 144, 25, -2, 1], 'lmfdb_label': '54096.o1', 'torsion': [2, 2]}
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id: 2615036
{'degree': 8, 'field': [606, 924, 242, 0, 12, -14, -12, 0, 1], 'lmfdb_label': '54096.o1', 'torsion': [3]}
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id: 2615037
{'degree': 12, 'field': [-5577696, 20634648, -23400862, 1810440, 1183665, 166392, -143108, -35832, -3742, -288, -6, 0, 1], 'lmfdb_label': '54096.o1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 1297898
{'conductor': 54096, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '54096.o1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 1297899
{'conductor': 54096, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '54096.o1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1297900
{'conductor': 54096, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '54096.o1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1297901
{'conductor': 54096, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '54096.o1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 0, 2, 1], [1, 2, 0, 1], [2761, 2, 2761, 3], [1933, 2, 1933, 3], [3863, 2, 3862, 3], [1289, 2, 1289, 3], [1, 1, 3863, 0], [967, 2, 0, 1], [2857, 2, 2857, 3]], 'adelic_image': '3864.2.0.?', 'conductor': 54096, 'lmfdb_label': '54096.o1', 'prime': 0}
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ec_padic • Show schema
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id: 2731747
{'lmfdb_iso': '54096.o', 'p': 5, 'prec': 20, 'unit': 7386581099613, 'val': 1}
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id: 2731732
{'lmfdb_iso': '54096.o', 'p': 11, 'prec': 20, 'unit': 46818636837157697168, 'val': 1}
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id: 2731738
{'lmfdb_iso': '54096.o', 'p': 13, 'prec': 20, 'unit': 443365848787151281279, 'val': 1}
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id: 2731741
{'lmfdb_iso': '54096.o', 'p': 19, 'prec': 20, 'unit': 873075286080206926680826, 'val': 1}
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id: 2731737
{'lmfdb_iso': '54096.o', 'p': 29, 'prec': 20, 'unit': 130113385278249752577321839, 'val': 2}
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id: 2731733
{'lmfdb_iso': '54096.o', 'p': 37, 'prec': 20, 'unit': 7353171220889409317612872560306, 'val': -1}
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id: 2731735
{'lmfdb_iso': '54096.o', 'p': 41, 'prec': 20, 'unit': 4054170480544549261135389751054, 'val': 1}
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id: 2731736
{'lmfdb_iso': '54096.o', 'p': 43, 'prec': 20, 'unit': 5699242282990403721387610123851, 'val': 1}
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id: 2731745
{'lmfdb_iso': '54096.o', 'p': 47, 'prec': 20, 'unit': 20865988993912494456582783215189, 'val': 1}
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id: 2731742
{'lmfdb_iso': '54096.o', 'p': 53, 'prec': 20, 'unit': 504947425148536798397366721814172, 'val': 1}
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id: 2731740
{'lmfdb_iso': '54096.o', 'p': 59, 'prec': 20, 'unit': 2066899243083286914996790599698678, 'val': 1}
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id: 2731746
{'lmfdb_iso': '54096.o', 'p': 61, 'prec': 20, 'unit': 6626319150514042624906779678797837, 'val': 1}
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id: 2731734
{'lmfdb_iso': '54096.o', 'p': 71, 'prec': 20, 'unit': 147430208574879782948183196324076999, 'val': 1}
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id: 2731743
{'lmfdb_iso': '54096.o', 'p': 73, 'prec': 20, 'unit': 165987118054823707434191640170475139, 'val': 1}
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id: 2731739
{'lmfdb_iso': '54096.o', 'p': 79, 'prec': 20, 'unit': 215379875001786064354089150132356584, 'val': 1}
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id: 2731731
{'lmfdb_iso': '54096.o', 'p': 83, 'prec': 20, 'unit': 1027073626497149861525005166570878373, 'val': 1}
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id: 2731744
{'lmfdb_iso': '54096.o', 'p': 89, 'prec': 20, 'unit': 5992193937498755553651166409682242032, 'val': 1}
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id: 2731730
{'lmfdb_iso': '54096.o', 'p': 97, 'prec': 20, 'unit': 22654704678172898284180607766303267995, 'val': 1}