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ec_curvedata • Show schema
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{'Ciso': '76230t', 'Clabel': '76230t6', 'Cnumber': 6, 'abc_quality': 1.0396558118857293, 'absD': 140027825742226329600, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 4620, 'ainvs': [1, -1, 0, -23906295, -44980476579], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 76230, 'degree': 6635520, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9039451967637161436967345517', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1169975873419524361, 108425318400], 'lmfdb_iso': '76230.c', 'lmfdb_label': '76230.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -21953, -1253644], 'min_quad_twist_disc': 33, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.2', '20.12.0.a.1', '33.8.0-3.a.1.2', '60.96.1.e.2', '66.48.0-6.a.1.1', '84.96.1.?', '132.96.0.?', '308.12.0.?', '420.192.5.?', '660.192.1.?', '924.192.1.?', '1540.24.0.?', '4620.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1087836825002544724911246654', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1556914160304760259681401443', 'prec': 100}, 'szpiro_ratio': 5.567095358042507, '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, -1, -1, 0, 1, 0, 0, -2, 1, 0, 1, -6, 0, -8, -1], 'aplist': [-1, 0, -1, -1, 0, -2, -6, -8, 0, 6, -4, -10, -6, 4, 0, 6, 12, 10, -4, -12, 10, -8, 12, 6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 76230, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '76230.c', 'trace_hash': 967688566008714962}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0030037601448408190700021079930', 'prec': 110}, 'conductor': 76230, 'gens': [[12558, 1272441, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.1087836825002544724911246654', 'prec': 100}], 'lmfdb_label': '76230.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.068276916627814397442437487989', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7904959804768679511164397014806521835', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-2802, 1401, 1], [5646, -2823, 1]], 'xcoord_integral_points': [-2802, 5646, 12558]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 1], '3': 'a', '5': [1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '76230.c2'}
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ec_torsion_growth • Show schema
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id: 3603726
{'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '76230.c2', 'torsion': [2, 6]}
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id: 3603729
{'degree': 4, 'field': [-17, 37, -16, -1, 1], 'lmfdb_label': '76230.c2', 'torsion': [2, 4]}
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id: 3603727
{'degree': 4, 'field': [49, 0, 19, 0, 1], 'lmfdb_label': '76230.c2', 'torsion': [2, 4]}
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id: 3603728
{'degree': 4, 'field': [484, 0, 121, 0, 1], 'lmfdb_label': '76230.c2', 'torsion': [2, 4]}
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id: 3603730
{'degree': 6, 'field': [88, -957, 213, 17, -21, -3, 1], 'lmfdb_label': '76230.c2', 'torsion': [2, 6]}
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id: 3603733
{'degree': 8, 'field': [1, 0, -9, 0, 80, 0, -9, 0, 1], 'lmfdb_label': '76230.c2', 'torsion': [2, 12]}
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id: 3603732
{'degree': 8, 'field': [69, 18, 52, -154, 113, -46, 20, -4, 1], 'lmfdb_label': '76230.c2', 'torsion': [2, 12]}
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id: 3603731
{'degree': 8, 'field': [1929, -750, 856, -202, 77, 26, -4, -4, 1], 'lmfdb_label': '76230.c2', 'torsion': [2, 12]}
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id: 3603735
{'degree': 12, 'field': [-1049648, 502464, -245196, 11740, 26943, -25287, 14369, -4242, 582, 146, -45, -3, 1], 'lmfdb_label': '76230.c2', 'torsion': [2, 12]}
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id: 3603734
{'degree': 12, 'field': [138384, -93744, 66852, -5916, -1611, 4833, 217, -174, 186, -58, -3, -3, 1], 'lmfdb_label': '76230.c2', 'torsion': [6, 6]}
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id: 3603739
{'degree': 16, 'field': [-8291, -224492, 1353876, -2935912, 2896077, -961764, -592556, 791564, -336054, 2704, 54862, -20088, 1467, 616, -102, -4, 1], 'lmfdb_label': '76230.c2', 'torsion': [2, 8]}
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id: 3603736
{'degree': 16, 'field': [26896, 0, 168904, 0, 337409, 0, 297036, 0, 122564, 0, 22674, 0, 1964, 0, 76, 0, 1], 'lmfdb_label': '76230.c2', 'torsion': [4, 4]}
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id: 3603737
{'degree': 16, 'field': [8895901, -14243656, 23798156, -21681804, 17690126, -9427892, 5281588, -2089452, 859687, -252324, 79012, -16996, 4046, -588, 104, -8, 1], 'lmfdb_label': '76230.c2', 'torsion': [2, 8]}
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id: 3603738
{'degree': 16, 'field': [9870604536, -5447141232, 7457194380, 299306700, -971498471, -434130532, 379194668, -122492940, 39660436, -6318752, 352858, 5644, -9236, 1596, -16, -4, 1], 'lmfdb_label': '76230.c2', 'torsion': [2, 8]}
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id: 3603740
{'degree': 18, 'field': [1544374539, -1830828879, 2394406197, -1813073106, 1196538228, -588239658, 234638244, -69276546, 15463305, -1856551, 48393, 24390, 18738, -10908, 3636, -660, 117, -9, 1], 'lmfdb_label': '76230.c2', 'torsion': [2, 18]}
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ec_localdata • Show schema
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id: 1853156
{'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '76230.c2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1853157
{'conductor': 76230, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '76230.c2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1853158
{'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '76230.c2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1853159
{'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '76230.c2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1853160
{'conductor': 76230, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '76230.c2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2167601
{'adelic_gens': [[4609, 12, 4608, 13], [1, 0, 12, 1], [3079, 2508, 4334, 1187], [2099, 0, 0, 4619], [1519, 3366, 2178, 1255], [9, 4, 4604, 4613], [1, 12, 0, 1], [661, 2112, 2706, 3433], [2311, 3366, 0, 1]], 'adelic_image': '4620.384.5.?', 'conductor': 76230, 'lmfdb_label': '76230.c2', 'prime': 0}
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id: 314828
{'conductor': 76230, 'elladic_image': '2.6.0.1', 'lmfdb_label': '76230.c2', 'modell_image': '2Cs', 'prime': 2}
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id: 314829
{'conductor': 76230, 'elladic_image': '3.4.0.1', 'lmfdb_label': '76230.c2', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 3923921
{'lmfdb_iso': '76230.c', 'p': 13, 'prec': 20, 'unit': 244445189526824167532, 'val': 1}
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id: 3923923
{'lmfdb_iso': '76230.c', 'p': 17, 'prec': 20, 'unit': 4218576750421104742309, 'val': 1}
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id: 3923913
{'lmfdb_iso': '76230.c', 'p': 19, 'prec': 20, 'unit': 1484935683944519016673282, 'val': 1}
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id: 3923920
{'lmfdb_iso': '76230.c', 'p': 29, 'prec': 20, 'unit': 297529628644312164476655542, 'val': 1}
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id: 3923930
{'lmfdb_iso': '76230.c', 'p': 31, 'prec': 20, 'unit': 15947191966965641050428293365, 'val': 1}
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id: 3923916
{'lmfdb_iso': '76230.c', 'p': 37, 'prec': 20, 'unit': 76460142458319686727401274332, 'val': 1}
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id: 3923918
{'lmfdb_iso': '76230.c', 'p': 41, 'prec': 20, 'unit': 1365630408570185586764892940404, 'val': 1}
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id: 3923919
{'lmfdb_iso': '76230.c', 'p': 43, 'prec': 20, 'unit': 6854035287715434542354371193797, 'val': 1}
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id: 3923925
{'lmfdb_iso': '76230.c', 'p': 53, 'prec': 20, 'unit': 322269336997010081648292401724547, 'val': 1}
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id: 3923928
{'lmfdb_iso': '76230.c', 'p': 59, 'prec': 20, 'unit': 3500959353051058969204095482524082, 'val': 1}
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id: 3923929
{'lmfdb_iso': '76230.c', 'p': 61, 'prec': 20, 'unit': 1922699564217107680565543953104078, 'val': 1}
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id: 3923915
{'lmfdb_iso': '76230.c', 'p': 67, 'prec': 20, 'unit': 10474930945501939336493425870866461, 'val': 1}
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id: 3923917
{'lmfdb_iso': '76230.c', 'p': 71, 'prec': 20, 'unit': 7593298572810151798434229498409760, 'val': 1}
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id: 3923926
{'lmfdb_iso': '76230.c', 'p': 73, 'prec': 20, 'unit': 201099564270697470655560441761192086, 'val': 1}
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id: 3923922
{'lmfdb_iso': '76230.c', 'p': 79, 'prec': 20, 'unit': 299056944590796106362420408685541903, 'val': 1}
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id: 3923924
{'lmfdb_iso': '76230.c', 'p': 83, 'prec': 20, 'unit': 11017802102782196763573350917033953, 'val': 1}
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id: 3923927
{'lmfdb_iso': '76230.c', 'p': 89, 'prec': 20, 'unit': 5836497681601095757229586972489419353, 'val': 1}
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id: 3923914
{'lmfdb_iso': '76230.c', 'p': 97, 'prec': 20, 'unit': 30366985561358778809958553362161364611, 'val': 1}