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ec_curvedata • Show schema
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{'Ciso': '78400bq', 'Clabel': '78400bq2', 'Cnumber': 2, 'abc_quality': 1.0649344898971125, 'absD': 5044200875000000, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 2520, 'ainvs': [0, -1, 0, 42467, 560687], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 78400, 'degree': 331776, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7024036003216293831717173822', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 105, 'isogeny_degrees': [1, 3], 'jinv': [71991296, 42875], 'lmfdb_iso': '78400.eb', 'lmfdb_label': '78400.eb3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 9, 1], 'min_quad_twist_disc': -280, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '24.24.0-3.a.1.3', '63.36.0.b.1', '70.2.0.a.1', '210.24.1.?', '504.72.0.?', '630.72.3.?', '840.48.1.?', '2520.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [5, 18, 3136], [7, 32, 1600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42184402070305011138995471687', 'prec': 107}, 'szpiro_ratio': 3.867316288843062, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, 0, 0, -2, 0, 3, 0, -5, 0, 0, 0, 3, 0, 2, 0], 'aplist': [0, -1, 0, 0, 3, -5, 3, 2, 6, -3, 4, 2, 12, -10, 9, 12, 0, 8, -4, 0, 2, -1, -12, 12, -1], 'class_deg': 9, 'class_size': 3, 'conductor': 78400, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '78400.eb', 'trace_hash': 1055459934443734392}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.033213222952756801302441463722', 'prec': 107}, 'conductor': 78400, 'gens': [], 'heights': [], 'lmfdb_label': '78400.eb3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26355320036458121808448275991', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1084256029166497446758620792442761152', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '78400.eb3'}
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ec_torsion_growth • Show schema
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id: 3700202
{'degree': 2, 'field': [-210, 0, 1], 'lmfdb_label': '78400.eb3', 'torsion': [3]}
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id: 3700203
{'degree': 2, 'field': [70, 0, 1], 'lmfdb_label': '78400.eb3', 'torsion': [3]}
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id: 3700204
{'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '78400.eb3', 'torsion': [2]}
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id: 3700205
{'degree': 4, 'field': [4900, 0, -70, 0, 1], 'lmfdb_label': '78400.eb3', 'torsion': [3, 3]}
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id: 3700207
{'degree': 6, 'field': [-1890, 0, 36, 0, 12, 0, 1], 'lmfdb_label': '78400.eb3', 'torsion': [6]}
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id: 3700206
{'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '78400.eb3', 'torsion': [2, 2]}
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id: 3700208
{'degree': 6, 'field': [70, 0, 4, 0, -4, 0, 1], 'lmfdb_label': '78400.eb3', 'torsion': [6]}
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id: 3700209
{'degree': 12, 'field': [-35, 0, 44, 0, 75, 0, 20, 0, -5, 0, 0, 0, 1], 'lmfdb_label': '78400.eb3', 'torsion': [4]}
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id: 3700212
{'degree': 12, 'field': [49, -70, 333, -762, 1040, -990, 681, -342, 144, -50, 21, -6, 1], 'lmfdb_label': '78400.eb3', 'torsion': [2, 6]}
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id: 3700211
{'degree': 12, 'field': [625, 1050, -899, -730, 1304, -782, -247, 298, 104, -130, 37, -6, 1], 'lmfdb_label': '78400.eb3', 'torsion': [2, 6]}
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id: 3700210
{'degree': 12, 'field': [4900, 0, -280, 0, 296, 0, 156, 0, 12, 0, 4, 0, 1], 'lmfdb_label': '78400.eb3', 'torsion': [3, 6]}
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id: 3700213
{'degree': 18, 'field': [-18844918785, 21757865220, 3273899580, -4100396580, -6107136840, -2366983080, 895503736, 462792960, 7175736, -24086230, 842220, -22680, -187935, 8820, 540, -70, 36, 0, 1], 'lmfdb_label': '78400.eb3', 'torsion': [9]}
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id: 3700214
{'degree': 18, 'field': [343490119001, -205888179000, 30856771260, 2255302006, -734888700, 17638740, 150059001, -58892400, 8823150, -1246022, 121800, -2520, 21022, -4200, 630, -8, 0, 0, 1], 'lmfdb_label': '78400.eb3', 'torsion': [9]}
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ec_localdata • Show schema
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id: 1908021
{'conductor': 78400, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '78400.eb3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 1908022
{'conductor': 78400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '78400.eb3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 1908023
{'conductor': 78400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '78400.eb3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2181647
{'adelic_gens': [[1, 6, 6, 37], [1, 12, 0, 1], [127, 18, 513, 163], [1, 9, 9, 82], [1, 18, 0, 1], [631, 0, 0, 1], [1, 0, 18, 1], [613, 18, 612, 19], [2503, 18, 2502, 19], [2327, 2502, 2421, 2009], [1259, 0, 0, 2519], [2509, 2502, 2052, 2015]], 'adelic_image': '2520.144.3.?', 'conductor': 78400, 'lmfdb_label': '78400.eb3', 'prime': 0}
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id: 323182
{'conductor': 78400, 'elladic_image': '3.12.0.1', 'lmfdb_label': '78400.eb3', 'modell_image': '3Cs', 'prime': 3}
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lmfdb_iso 78400.eb does not appear in ec_padic
