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ec_curvedata • Show schema
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{'Ciso': '37440y', 'Clabel': '37440y1', 'Cnumber': 1, 'abc_quality': 0.8083120047644469, 'absD': 7300800, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, -87, 284], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 37440, 'degree': 6144, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.053229098593356856124166826293', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 100, 'isogeny_degrees': [1, 2], 'jinv': [42144192, 4225], 'lmfdb_iso': '37440.dw', 'lmfdb_label': '37440.dw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -348, 2272], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '52.6.0.e.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3207534078147762573977331391', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56799756385364322143326054367', 'prec': 107}, 'szpiro_ratio': 2.37513313035539, '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, 1, 0, -2, 0, 0, 0, 4, 0, 1, 0, 0, 0, -4, 0, 2, 0], 'aplist': [0, 0, 1, -2, 4, 1, -4, 2, -8, 0, 2, 10, -10, 0, 0, 8, -4, -2, 2, 0, 2, 0, 12, -6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 37440, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '37440.dw', 'trace_hash': 1316009270572959422}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.89901262863279799634442470330', 'prec': 103}, 'conductor': 37440, 'gens': [[8, 10, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3207534078147762573977331391', 'prec': 100}], 'lmfdb_label': '37440.dw1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.2856519540379457325805638897', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.0375652147482383568234872918902255581', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[4, 0, 1]], 'xcoord_integral_points': [4, 8]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [6, 0], '7': [3, 0], '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '37440.dw1'}
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ec_torsion_growth • Show schema
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id: 1850369
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '37440.dw1', 'torsion': [2, 2]}
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id: 1850370
{'degree': 4, 'field': [48, 0, 6, 0, 1], 'lmfdb_label': '37440.dw1', 'torsion': [4]}
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id: 1850373
{'degree': 8, 'field': [-507, 0, 0, 0, -78, 0, 16, 0, 1], 'lmfdb_label': '37440.dw1', 'torsion': [6]}
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id: 1850372
{'degree': 8, 'field': [144, 0, 144, 0, 177, 0, 12, 0, 1], 'lmfdb_label': '37440.dw1', 'torsion': [2, 4]}
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id: 1850371
{'degree': 8, 'field': [169, -1924, -1196, 1268, -578, 20, 28, -4, 1], 'lmfdb_label': '37440.dw1', 'torsion': [2, 4]}
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id: 1850375
{'degree': 16, 'field': [1, 0, 8, 0, -146, 0, 496, 0, -1225, 0, 496, 0, -146, 0, 8, 0, 1], 'lmfdb_label': '37440.dw1', 'torsion': [2, 6]}
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id: 1850374
{'degree': 16, 'field': [12171844, 39967504, 61111168, 56506704, 34857906, 14603584, 4188888, 984804, 334021, 99316, 12676, 836, 1374, -108, 44, -8, 1], 'lmfdb_label': '37440.dw1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 883134
{'conductor': 37440, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '37440.dw1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 883135
{'conductor': 37440, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '37440.dw1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 883136
{'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '37440.dw1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 883137
{'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '37440.dw1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1914211
{'adelic_gens': [[145, 4, 134, 9], [1, 2, 2, 5], [40, 121, 117, 40], [3, 4, 8, 11], [153, 4, 152, 5], [56, 1, 103, 0], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 37440, 'lmfdb_label': '37440.dw1', 'prime': 0}
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id: 165483
{'conductor': 37440, 'elladic_image': '2.3.0.1', 'lmfdb_label': '37440.dw1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 1843956
{'lmfdb_iso': '37440.dw', 'p': 7, 'prec': 20, 'unit': 1094865705914408, 'val': 2}
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id: 1843958
{'lmfdb_iso': '37440.dw', 'p': 11, 'prec': 20, 'unit': 60986503001162759330, 'val': 1}
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id: 1843959
{'lmfdb_iso': '37440.dw', 'p': 17, 'prec': 20, 'unit': 102795217795755974983109, 'val': 1}
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id: 1843952
{'lmfdb_iso': '37440.dw', 'p': 19, 'prec': 20, 'unit': 337418389731397823483232, 'val': 1}
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id: 1843963
{'lmfdb_iso': '37440.dw', 'p': 23, 'prec': 20, 'unit': 11659458167105513639142133, 'val': 1}
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id: 1843967
{'lmfdb_iso': '37440.dw', 'p': 31, 'prec': 20, 'unit': 14677751771906594428256245525, 'val': 1}
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id: 1843955
{'lmfdb_iso': '37440.dw', 'p': 37, 'prec': 20, 'unit': 451522055535040181564348522093, 'val': 1}
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id: 1843957
{'lmfdb_iso': '37440.dw', 'p': 41, 'prec': 20, 'unit': 317704840911695299274721879233, 'val': 1}
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id: 1843961
{'lmfdb_iso': '37440.dw', 'p': 53, 'prec': 20, 'unit': 93379726961523969906495238777450, 'val': 1}
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id: 1843965
{'lmfdb_iso': '37440.dw', 'p': 59, 'prec': 20, 'unit': 3771279300296622061904726945592273, 'val': 1}
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id: 1843966
{'lmfdb_iso': '37440.dw', 'p': 61, 'prec': 20, 'unit': 2975706349282476562706010336572730, 'val': 1}
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id: 1843954
{'lmfdb_iso': '37440.dw', 'p': 67, 'prec': 20, 'unit': 41821025988967267231289336243668205, 'val': 1}
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id: 1843962
{'lmfdb_iso': '37440.dw', 'p': 73, 'prec': 20, 'unit': 222125572421197812462034125287180644, 'val': 1}
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id: 1843960
{'lmfdb_iso': '37440.dw', 'p': 83, 'prec': 20, 'unit': 756704337592313487680236151510028984, 'val': 1}
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id: 1843964
{'lmfdb_iso': '37440.dw', 'p': 89, 'prec': 20, 'unit': 1316331390711548426332554039509465394, 'val': 1}
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id: 1843953
{'lmfdb_iso': '37440.dw', 'p': 97, 'prec': 20, 'unit': 19634046075054145282625523124375431482, 'val': 1}