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ec_curvedata • Show schema
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{'Ciso': '111090f', 'Clabel': '111090f1', 'Cnumber': 1, 'abc_quality': 1.025108410651787, 'absD': 1769941222371840, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 840, 'ainvs': [1, 1, 0, -4397323, 3547370557], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 111090, 'degree': 2661120, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3186052433985627350923969586', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [-33602966923620213529, 6324810240], 'lmfdb_iso': '111090.c', 'lmfdb_label': '111090.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -4397323, 3547370557], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['840.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.38484781405494183870915648183', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2734405047555128381568126813', 'prec': 100}, 'szpiro_ratio': 4.9494446777212735, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -4, -1, -2, -1, 1, 1, 0, -1, 2, -1], 'aplist': [-1, -1, -1, 1, -4, -2, 0, 2, 0, -7, 7, -6, -5, 4, 0, -6, 11, 13, -6, 12, -11, 10, -4, -6, -7], 'class_deg': 1, 'class_size': 1, 'conductor': 111090, 'isogeny_matrix': [[1]], 'lmfdb_iso': '111090.c', 'trace_hash': 2248154746041051281}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0096846755126687687936589092228', 'prec': 110}, 'conductor': 111090, 'gens': [[1209, -685, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.38484781405494183870915648183', 'prec': 103}], 'lmfdb_label': '111090.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37157169228831835055426175259', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0029696243789509456032151145556564075', 'prec': 130}, 'tamagawa_product': 21, 'torsion_generators': [], 'xcoord_integral_points': [887, 1209]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': [1, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': 'a', '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '111090.c1'}
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ec_torsion_growth • Show schema
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id: 5112443
{'degree': 3, 'field': [-765, -15, -1, 1], 'lmfdb_label': '111090.c1', 'torsion': [2]}
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id: 5112444
{'degree': 6, 'field': [546210, 0, 21421, 0, 208, 0, 1], 'lmfdb_label': '111090.c1', 'torsion': [2, 2]}
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id: 5112445
{'degree': 8, 'field': [-48, 0, -41, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '111090.c1', 'torsion': [3]}
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id: 5112446
{'degree': 12, 'field': [3750312250, 1705917750, -642888175, -21256800, 51339275, -11493600, 14420, 100920, 9950, -1110, 47, 0, 1], 'lmfdb_label': '111090.c1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 2730877
{'conductor': 111090, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '111090.c1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 2730878
{'conductor': 111090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '111090.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 2730879
{'conductor': 111090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '111090.c1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 2730880
{'conductor': 111090, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '111090.c1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 2730881
{'conductor': 111090, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '111090.c1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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{'adelic_gens': [[631, 2, 631, 3], [839, 2, 838, 3], [1, 0, 2, 1], [1, 2, 0, 1], [337, 2, 337, 3], [281, 2, 281, 3], [241, 2, 241, 3], [421, 2, 421, 3], [1, 1, 839, 0]], 'adelic_image': '840.2.0.?', 'conductor': 111090, 'lmfdb_label': '111090.c1', 'prime': 0}
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ec_padic • Show schema
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id: 5796452
{'lmfdb_iso': '111090.c', 'p': 11, 'prec': 20, 'unit': 54199441499822651847, 'val': 1}
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id: 5796450
{'lmfdb_iso': '111090.c', 'p': 13, 'prec': 20, 'unit': 1103315989092473449038, 'val': 1}
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id: 5796453
{'lmfdb_iso': '111090.c', 'p': 19, 'prec': 20, 'unit': 879968215208216068662954, 'val': 1}
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id: 5796449
{'lmfdb_iso': '111090.c', 'p': 29, 'prec': 20, 'unit': 1230719286304287548923526047, 'val': 1}
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id: 5796459
{'lmfdb_iso': '111090.c', 'p': 31, 'prec': 20, 'unit': 5083918818784764010883555621, 'val': 1}
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id: 5796445
{'lmfdb_iso': '111090.c', 'p': 37, 'prec': 20, 'unit': 505193743119919249822533711398, 'val': 1}
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id: 5796447
{'lmfdb_iso': '111090.c', 'p': 41, 'prec': 20, 'unit': 3199165181171615371197397989918, 'val': 1}
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id: 5796448
{'lmfdb_iso': '111090.c', 'p': 43, 'prec': 20, 'unit': 10274836345105791089096857110388, 'val': 1}
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id: 5796454
{'lmfdb_iso': '111090.c', 'p': 53, 'prec': 20, 'unit': 271121583628711850477536456997586, 'val': 1}
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id: 5796457
{'lmfdb_iso': '111090.c', 'p': 59, 'prec': 20, 'unit': 2831668118607999486610610129761164, 'val': 1}
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id: 5796458
{'lmfdb_iso': '111090.c', 'p': 61, 'prec': 20, 'unit': 132929128560079240813121214329861, 'val': 2}
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id: 5796444
{'lmfdb_iso': '111090.c', 'p': 67, 'prec': 20, 'unit': 39328853113784286093653257174217840, 'val': 1}
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id: 5796446
{'lmfdb_iso': '111090.c', 'p': 71, 'prec': 20, 'unit': 83582382630953477202146714164975368, 'val': 1}
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id: 5796455
{'lmfdb_iso': '111090.c', 'p': 73, 'prec': 20, 'unit': 161133314771589646802756489110876713, 'val': 1}
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id: 5796451
{'lmfdb_iso': '111090.c', 'p': 79, 'prec': 20, 'unit': 553555290535537333532213781626973636, 'val': 1}
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id: 5796443
{'lmfdb_iso': '111090.c', 'p': 83, 'prec': 20, 'unit': 1008435234051963998821002476644582629, 'val': 1}
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id: 5796456
{'lmfdb_iso': '111090.c', 'p': 89, 'prec': 20, 'unit': 2785595793514342392749782580526049901, 'val': 1}
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id: 5796442
{'lmfdb_iso': '111090.c', 'p': 97, 'prec': 20, 'unit': 49676870333118186536531072399802725351, 'val': 1}