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ec_curvedata • Show schema
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{'Ciso': '6930bf', 'Clabel': '6930bf1', 'Cnumber': 1, 'abc_quality': 0.8977406350269492, 'absD': 64665216000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 9240, 'ainvs': [1, -1, 1, -1517, 19541], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 6930, 'degree': 7680, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79543876110409282341911383961', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2], 'jinv': [529278808969, 88704000], 'lmfdb_iso': '6930.be', 'lmfdb_label': '6930.be1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -169, -724], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.c.1', '770.6.0.?', '9240.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 15, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.20037439312455253278915456098', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.24613261677003797772149122115', 'prec': 103}, 'szpiro_ratio': 3.797819620253087, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, 1, 0, -1, 1, 0, 1, 1, 0, 0, -1, 0, 1, -4, 0, 0, 1], 'aplist': [1, 0, 1, -1, 1, 0, -4, 0, -2, -6, -8, -8, -2, -4, -12, -14, 0, 10, 2, 8, 6, 8, 8, 12, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 6930, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '6930.be', 'trace_hash': 1255726622570891803}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.20374674097410923003118025157', 'prec': 103}, 'conductor': 6930, 'gens': [[-9, 184, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.20037439312455253278915456098', 'prec': 103}], 'lmfdb_label': '6930.be1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0533025330154406619973322332', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.3316456748856864166661652421238620234', 'prec': 130}, 'tamagawa_product': 120, 'torsion_generators': [[15, -8, 1]], 'xcoord_integral_points': [-39, -9, 9, 15, 31, 51, 159, 211]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': 'a', '5': [2, 0], '7': [1, 0], '11': [2, 0], '13': [3, 1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6930.be1'}
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ec_torsion_growth • Show schema
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id: 364599
{'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '6930.be1', 'torsion': [2, 2]}
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id: 364600
{'degree': 4, 'field': [10, 8, 11, -2, 1], 'lmfdb_label': '6930.be1', 'torsion': [4]}
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id: 364603
{'degree': 8, 'field': [-440, 308, -374, 131, -62, -7, 7, -4, 1], 'lmfdb_label': '6930.be1', 'torsion': [6]}
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id: 364602
{'degree': 8, 'field': [9216, 0, 4440, 0, 433, 0, 50, 0, 1], 'lmfdb_label': '6930.be1', 'torsion': [2, 4]}
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id: 364601
{'degree': 8, 'field': [201216, 866304, 602128, 184720, 17786, -1550, -313, -2, 1], 'lmfdb_label': '6930.be1', 'torsion': [2, 4]}
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id: 364605
{'degree': 16, 'field': [14549657544, 25302570528, 33656339958, -181119135540, -19440026748, 27898487427, -6456656964, -11943044, 166744655, -16181218, -1189620, 161680, 5560, -21, -154, -4, 1], 'lmfdb_label': '6930.be1', 'torsion': [2, 6]}
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id: 364604
{'degree': 16, 'field': [4841650140625, 0, 968915330000, 0, 93943959400, 0, 5323902440, 0, 184064446, 0, 3906704, 0, 49576, 0, 344, 0, 1], 'lmfdb_label': '6930.be1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 141692
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '6930.be1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
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id: 141693
{'conductor': 6930, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '6930.be1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 141694
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6930.be1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 141695
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6930.be1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 141696
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6930.be1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1709729
{'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [4621, 4, 2, 9], [5777, 3466, 3464, 5775], [6161, 4, 3082, 9], [1322, 1, 3959, 0], [1, 0, 4, 1], [7394, 1, 5543, 0], [5042, 1, 6719, 0], [3, 4, 8, 11], [9237, 4, 9236, 5]], 'adelic_image': '9240.12.0.?', 'conductor': 6930, 'lmfdb_label': '6930.be1', 'prime': 0}
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id: 34160
{'conductor': 6930, 'elladic_image': '2.3.0.1', 'lmfdb_label': '6930.be1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 278935
{'lmfdb_iso': '6930.be', 'p': 17, 'prec': 20, 'unit': 178756503082617273592702, 'val': 1}
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id: 278939
{'lmfdb_iso': '6930.be', 'p': 23, 'prec': 20, 'unit': 22141922210979787817796285, 'val': 1}
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id: 278933
{'lmfdb_iso': '6930.be', 'p': 29, 'prec': 20, 'unit': 870085291528691806122517110, 'val': 1}
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id: 278943
{'lmfdb_iso': '6930.be', 'p': 31, 'prec': 20, 'unit': 9032011286936534571488524655, 'val': 1}
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id: 278929
{'lmfdb_iso': '6930.be', 'p': 37, 'prec': 20, 'unit': 2655499809579324195613142821, 'val': 2}
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id: 278931
{'lmfdb_iso': '6930.be', 'p': 41, 'prec': 20, 'unit': 2588982322668073884087838861729, 'val': 1}
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id: 278932
{'lmfdb_iso': '6930.be', 'p': 43, 'prec': 20, 'unit': 3092982223561336258764370897668, 'val': 1}
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id: 278934
{'lmfdb_iso': '6930.be', 'p': 47, 'prec': 20, 'unit': 28791407798719082879267907958487, 'val': 1}
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id: 278937
{'lmfdb_iso': '6930.be', 'p': 53, 'prec': 20, 'unit': 327196154560010174798265333894081, 'val': 1}
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id: 278942
{'lmfdb_iso': '6930.be', 'p': 61, 'prec': 20, 'unit': 1330775458498512097805386034089613, 'val': 1}
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id: 278928
{'lmfdb_iso': '6930.be', 'p': 67, 'prec': 20, 'unit': 8440615353366690260524538411051062, 'val': 1}
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id: 278930
{'lmfdb_iso': '6930.be', 'p': 71, 'prec': 20, 'unit': 13494398549132621559721104495124767, 'val': 1}
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id: 278938
{'lmfdb_iso': '6930.be', 'p': 73, 'prec': 20, 'unit': 161632651838468316182385562205224635, 'val': 1}
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id: 278941
{'lmfdb_iso': '6930.be', 'p': 79, 'prec': 20, 'unit': 1068333165155578880667714011117364926, 'val': 1}
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id: 278936
{'lmfdb_iso': '6930.be', 'p': 83, 'prec': 20, 'unit': 1058511988850294524425975471800584526, 'val': 1}
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id: 278940
{'lmfdb_iso': '6930.be', 'p': 89, 'prec': 20, 'unit': 748473853123683081782865988584482206, 'val': 1}
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id: 278927
{'lmfdb_iso': '6930.be', 'p': 97, 'prec': 20, 'unit': 25076551665233778662936255204911645821, 'val': 1}