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ec_curvedata • Show schema
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{'Ciso': '22848ck', 'Clabel': '22848ck2', 'Cnumber': 2, 'abc_quality': 0.9006280039443292, 'absD': 9949298688, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1428, 'ainvs': [0, 1, 0, 111, 4815], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 22848, 'degree': 13824, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.59798593513867588349381620447', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2], 'jinv': [9148592, 607257], 'lmfdb_iso': '22848.bs', 'lmfdb_label': '22848.bs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 28, -588], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '68.6.0.a.1', '84.6.0.?', '1428.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.45419107447084766106465491708', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.21068577551459364415962127056', 'prec': 107}, 'szpiro_ratio': 3.0355572537750413, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -2, 0, -1, 0, 1, 0, 0, 0, 2, 0, -2, 0, -1, 0, 6, 0], 'aplist': [0, 1, -2, -1, 0, 2, -1, 6, -8, 4, 0, -10, 10, -8, 8, -6, -4, 8, -4, 8, 4, 0, 0, 10, 0], 'class_deg': 2, 'class_size': 2, 'conductor': 22848, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '22848.bs', 'trace_hash': 2095855442119280468}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.30240990811669664332567979410', 'prec': 103}, 'conductor': 22848, 'gens': [[3, 72, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.45419107447084766106465491708', 'prec': 103}], 'lmfdb_label': '22848.bs2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.98344575785882659298740895782', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3600674253483703062459713976626345323', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-15, 0, 1]], 'xcoord_integral_points': [-15, -6, 3, 27, 69, 227]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [4, 0], '5': [3, 0], '7': [3, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '22848.bs2'}
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ec_torsion_growth • Show schema
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id: 1158980
{'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '22848.bs2', 'torsion': [2, 2]}
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id: 1158981
{'degree': 4, 'field': [-68, 0, 22, 0, 1], 'lmfdb_label': '22848.bs2', 'torsion': [4]}
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id: 1158984
{'degree': 8, 'field': [-192, 0, -190, 0, -48, 0, 0, 0, 1], 'lmfdb_label': '22848.bs2', 'torsion': [6]}
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id: 1158983
{'degree': 8, 'field': [441, 0, -420, 0, 499, 0, -20, 0, 1], 'lmfdb_label': '22848.bs2', 'torsion': [2, 4]}
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id: 1158982
{'degree': 8, 'field': [34356, 23904, 10528, 3752, 168, 40, 48, -4, 1], 'lmfdb_label': '22848.bs2', 'torsion': [2, 4]}
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id: 1158985
{'degree': 16, 'field': [-643141215, -961516332, -328233276, -30949632, 7893204, 9367596, 298452, -688464, -36773, -5124, -7420, 168, -264, -168, -28, 0, 1], 'lmfdb_label': '22848.bs2', 'torsion': [8]}
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id: 1158986
{'degree': 16, 'field': [295805601, 0, 70637616, 0, 7759836, 0, -225792, 0, 238086, 0, 4304, 0, -180, 0, 0, 0, 1], 'lmfdb_label': '22848.bs2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 522684
{'conductor': 22848, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '22848.bs2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 522685
{'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '22848.bs2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 522686
{'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '22848.bs2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 522687
{'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '22848.bs2', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1816727
{'adelic_gens': [[1, 0, 4, 1], [409, 4, 818, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1094, 1, 167, 0], [953, 4, 478, 9], [1425, 4, 1424, 5], [1072, 361, 357, 1072]], 'adelic_image': '1428.12.0.?', 'conductor': 22848, 'lmfdb_label': '22848.bs2', 'prime': 0}
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id: 105275
{'conductor': 22848, 'elladic_image': '2.3.0.1', 'lmfdb_label': '22848.bs2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 1077912
{'lmfdb_iso': '22848.bs', 'p': 5, 'prec': 20, 'unit': 664354477829, 'val': 3}
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id: 1077903
{'lmfdb_iso': '22848.bs', 'p': 13, 'prec': 20, 'unit': 1264964204677333538701, 'val': 1}
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id: 1077905
{'lmfdb_iso': '22848.bs', 'p': 19, 'prec': 20, 'unit': 918986088342809431070899, 'val': 1}
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id: 1077908
{'lmfdb_iso': '22848.bs', 'p': 23, 'prec': 20, 'unit': 2288723112047929122100248, 'val': 1}
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id: 1077902
{'lmfdb_iso': '22848.bs', 'p': 29, 'prec': 20, 'unit': 4756260162334079790516134070, 'val': 1}
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id: 1077898
{'lmfdb_iso': '22848.bs', 'p': 37, 'prec': 20, 'unit': 136964270855785913518430011731, 'val': 1}
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id: 1077900
{'lmfdb_iso': '22848.bs', 'p': 41, 'prec': 20, 'unit': 1107773674229657663659860030477, 'val': 1}
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id: 1077901
{'lmfdb_iso': '22848.bs', 'p': 43, 'prec': 20, 'unit': 89782961089583282085646547868, 'val': 2}
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id: 1077904
{'lmfdb_iso': '22848.bs', 'p': 47, 'prec': 20, 'unit': 40758525950689291099649522066521, 'val': 1}
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id: 1077906
{'lmfdb_iso': '22848.bs', 'p': 53, 'prec': 20, 'unit': 294091908512334445359397890572724, 'val': 1}
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id: 1077910
{'lmfdb_iso': '22848.bs', 'p': 59, 'prec': 20, 'unit': 2635913582021319043420541767274038, 'val': 1}
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id: 1077911
{'lmfdb_iso': '22848.bs', 'p': 61, 'prec': 20, 'unit': 4154271115213404000830404517149326, 'val': 1}
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id: 1077897
{'lmfdb_iso': '22848.bs', 'p': 67, 'prec': 20, 'unit': 26299870521599142358403217609478285, 'val': 1}
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id: 1077899
{'lmfdb_iso': '22848.bs', 'p': 71, 'prec': 20, 'unit': 55637450617661120795602600219931219, 'val': 1}
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id: 1077907
{'lmfdb_iso': '22848.bs', 'p': 73, 'prec': 20, 'unit': 204138170001267073242322879292195141, 'val': 1}
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id: 1077909
{'lmfdb_iso': '22848.bs', 'p': 89, 'prec': 20, 'unit': 2737929380212892238548774473601674218, 'val': 1}