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ec_curvedata • Show schema
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{'Ciso': '7488bl', 'Clabel': '7488bl2', 'Cnumber': 2, 'abc_quality': 1.0648086831316528, 'absD': 74760192, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, -10812, 432720], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 7488, 'degree': 12288, 'elladic_images': ['8.12.0.33'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84046122473047937347093513155', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [315978926832, 169], 'lmfdb_iso': '7488.a', 'lmfdb_label': '7488.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -24327, 1460430], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.12.0.u.1', '12.12.0.m.1', '24.24.0.dc.1', '104.24.0.?', '312.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.73403295377371194317174364880', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24286355808981757703131365272', 'prec': 107}, 'szpiro_ratio': 4.425354380603065, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -4, 0, -4, 0, 0, 0, -4, 0, 1, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, 0, -4, -4, -4, 1, 0, 0, 8, 8, -4, -6, 12, -8, 4, 0, 4, 2, -8, 4, -10, 4, 12, -12, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 7488, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '7488.a', 'trace_hash': 564284834749528689}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.18620213473532000506076618530', 'prec': 103}, 'conductor': 7488, 'gens': [[61, 13, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.73403295377371194317174364880', 'prec': 103}], 'lmfdb_label': '7488.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.5908219974537776927102979288', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3354315394383857993519670558621990959', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[60, 0, 1]], 'xcoord_integral_points': [12, 48, 60, 61]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [2, 0], '17': [1, 1, 0], '19': [3, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '7488.a1'}
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ec_torsion_growth • Show schema
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id: 393977
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '7488.a1', 'torsion': [2, 2]}
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id: 393978
{'degree': 4, 'field': [12, 0, -6, 0, 1], 'lmfdb_label': '7488.a1', 'torsion': [4]}
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id: 393981
{'degree': 8, 'field': [-432, 0, -54, 0, 0, 0, 6, 0, 1], 'lmfdb_label': '7488.a1', 'torsion': [6]}
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id: 393980
{'degree': 8, 'field': [9, 0, 0, 0, 3, 0, 0, 0, 1], 'lmfdb_label': '7488.a1', 'torsion': [2, 4]}
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id: 393979
{'degree': 8, 'field': [484, 0, -1016, 0, 300, 0, -32, 0, 1], 'lmfdb_label': '7488.a1', 'torsion': [2, 4]}
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id: 393984
{'degree': 16, 'field': [9, 0, 2016, 0, 504, 0, -612, 0, -294, 0, 192, 0, 12, 0, -12, 0, 1], 'lmfdb_label': '7488.a1', 'torsion': [2, 6]}
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id: 393983
{'degree': 16, 'field': [193, -1276, 3088, -2684, -1456, 4316, -1864, -1316, 946, 292, 80, -412, 128, 28, -8, -4, 1], 'lmfdb_label': '7488.a1', 'torsion': [2, 8]}
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id: 393982
{'degree': 16, 'field': [234256, 0, -491744, 0, 887056, 0, -273824, 0, 57004, 0, -7568, 0, 724, 0, -32, 0, 1], 'lmfdb_label': '7488.a1', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 154744
{'conductor': 7488, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '7488.a1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 154745
{'conductor': 7488, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '7488.a1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 154746
{'conductor': 7488, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '7488.a1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1713495
{'adelic_gens': [[1, 242, 234, 1], [1, 0, 8, 1], [86, 81, 269, 62], [1, 8, 0, 1], [101, 2, 70, 9], [1, 4, 4, 17], [5, 8, 48, 77], [305, 8, 304, 9], [6, 19, 97, 290], [3, 8, 304, 291]], 'adelic_image': '312.48.1.?', 'conductor': 7488, 'lmfdb_label': '7488.a1', 'prime': 0}
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id: 36866
{'conductor': 7488, 'elladic_image': '8.12.0.33', 'lmfdb_label': '7488.a1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 305211
{'lmfdb_iso': '7488.a', 'p': 5, 'prec': 20, 'unit': 77608536029909, 'val': -1}
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id: 305212
{'lmfdb_iso': '7488.a', 'p': 7, 'prec': 20, 'unit': 427000129492058, 'val': 1}
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id: 305210
{'lmfdb_iso': '7488.a', 'p': 11, 'prec': 20, 'unit': 30289590738925516501, 'val': 1}
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id: 305221
{'lmfdb_iso': '7488.a', 'p': 23, 'prec': 20, 'unit': 18348686180471960067094529, 'val': 1}
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id: 305216
{'lmfdb_iso': '7488.a', 'p': 29, 'prec': 20, 'unit': 5779714945338670326550199057, 'val': 1}
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id: 305213
{'lmfdb_iso': '7488.a', 'p': 31, 'prec': 20, 'unit': 15417485044610735343644474722, 'val': 1}
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id: 305226
{'lmfdb_iso': '7488.a', 'p': 37, 'prec': 20, 'unit': 146795058491706753237546581326, 'val': 1}
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id: 305214
{'lmfdb_iso': '7488.a', 'p': 41, 'prec': 20, 'unit': 40605454072942852558040222122, 'val': 1}
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id: 305215
{'lmfdb_iso': '7488.a', 'p': 43, 'prec': 20, 'unit': 8926659071060778146101331318310, 'val': 1}
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id: 305224
{'lmfdb_iso': '7488.a', 'p': 47, 'prec': 20, 'unit': 25958545754745776061160084518665, 'val': 1}
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id: 305218
{'lmfdb_iso': '7488.a', 'p': 59, 'prec': 20, 'unit': 2358400907803848496796255988743279, 'val': 1}
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id: 305225
{'lmfdb_iso': '7488.a', 'p': 61, 'prec': 20, 'unit': 7499014976386494543004264504895162, 'val': 1}
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id: 305209
{'lmfdb_iso': '7488.a', 'p': 67, 'prec': 20, 'unit': 20319257812645263414487084285777403, 'val': 1}
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id: 305223
{'lmfdb_iso': '7488.a', 'p': 71, 'prec': 20, 'unit': 7863628612510615868024532496931153, 'val': 1}
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id: 305220
{'lmfdb_iso': '7488.a', 'p': 73, 'prec': 20, 'unit': 300301429263856819903652344797261, 'val': 1}
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id: 305217
{'lmfdb_iso': '7488.a', 'p': 79, 'prec': 20, 'unit': 187778517720794951952223518275579593, 'val': 1}
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id: 305219
{'lmfdb_iso': '7488.a', 'p': 83, 'prec': 20, 'unit': 2526792975196440083899604998924988288, 'val': 1}
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id: 305222
{'lmfdb_iso': '7488.a', 'p': 89, 'prec': 20, 'unit': 1113435105456470083571694887296508336, 'val': 1}
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id: 305208
{'lmfdb_iso': '7488.a', 'p': 97, 'prec': 20, 'unit': 7940604939750862711578660477309173450, 'val': 1}