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ec_curvedata • Show schema
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{'Ciso': '148225ch', 'Clabel': '148225ch2', 'Cnumber': 2, 'abc_quality': 1.0734398000116747, 'absD': 1276587078045125, 'adelic_genus': 97, 'adelic_index': 2736, 'adelic_level': 56980, 'ainvs': [1, 0, 1, -1233724231, -16679304303917], 'analytic_rank': 1, 'bad_primes': [5, 7, 11], 'class_deg': 37, 'class_size': 2, 'cm': 0, 'conductor': 148225, 'degree': 17902080, 'elladic_images': ['37.114.4.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4423874394342103875842824295', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 37, 'iso_nlabel': 61, 'isogeny_degrees': [1, 37], 'jinv': [-162677523113838677, 1], 'lmfdb_iso': '148225.cj', 'lmfdb_label': '148225.cj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -208083, -36621194], 'min_quad_twist_disc': 77, 'modell_images': ['37B.8.2'], 'modm_images': ['20.2.0.a.1', '37.114.4.b.2', '148.228.10.?', '185.228.10.?', '259.342.16.?', '740.456.25.?', '1036.684.40.?', '1295.684.40.?', '2035.456.10.?', '5180.1368.97.?', '8140.912.25.?', '14245.1368.40.?', '56980.2736.97.?'], 'nonmax_primes': [37], 'nonmax_rad': 37, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '57.930995267544847630841510504', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54380689222295781849955231158', 'prec': 103}, 'szpiro_ratio': 6.249829600301404, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, -1, 0, 1, 0, -3, -2, 0, 0, -1, 2, 0, 0, -1, 2, -2, -6, 0], 'aplist': [1, 1, 0, 0, 0, 2, 2, -6, 3, -7, 2, 8, -5, 7, 0, -6, 10, -7, 5, -2, -6, 2, -11, 9, 16], 'class_deg': 37, 'class_size': 2, 'conductor': 148225, 'isogeny_matrix': [[1, 37], [37, 1]], 'lmfdb_iso': '148225.cj', 'trace_hash': 728234904822649741}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0010232464838359498823868118600', 'prec': 110}, 'conductor': 148225, 'gens': [[4722250900609297354395802903, 324399586339154356502595054117779755207177, 37663510083]], 'heights': [{'__RealLiteral__': 0, 'data': '57.930995267544847630841510504', 'prec': 100}], 'lmfdb_label': '148225.cj1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.012736938018245524113761788256', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.8543619526959220909802171528502410934', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'o?', '3': [3, 0], '5': 'a', '7': 'a', '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 1], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '148225.cj1'}
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ec_torsion_growth • Show schema
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id: 6674204
{'degree': 3, 'field': [-13, 5, -1, 1], 'lmfdb_label': '148225.cj1', 'torsion': [2]}
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id: 6674205
{'degree': 6, 'field': [20, 0, -4, 0, -3, 0, 1], 'lmfdb_label': '148225.cj1', 'torsion': [2, 2]}
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id: 6674206
{'degree': 8, 'field': [-43659, 0, -6993, 5175, -261, -120, -12, 0, 1], 'lmfdb_label': '148225.cj1', 'torsion': [3]}
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id: 6674207
{'degree': 12, 'field': [-31819600, 36173650, -14964440, 129485, 1541201, -216926, -31046, 4578, -1366, 396, 6, -3, 1], 'lmfdb_label': '148225.cj1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 3665699
{'conductor': 148225, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '148225.cj1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3665700
{'conductor': 148225, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '148225.cj1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
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id: 3665701
{'conductor': 148225, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '148225.cj1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2626040
{'adelic_gens': [[1, 0, 51800, 1], [1, 3256, 0, 1], [26005, 49654, 20757, 5963], [11397, 0, 0, 22793], [5181, 51800, 5180, 5181], [10473, 45584, 26048, 1], [41515, 41514, 37851, 33375], [1, 28490, 0, 1], [1, 0, 28490, 1], [1, 0, 26048, 1], [5179, 0, 0, 56979], [53725, 3256, 53724, 53725], [41108, 44363, 4477, 21979], [40701, 0, 0, 24421], [28491, 28490, 28490, 28491], [1, 31108, 0, 1], [20635, 22792, 30932, 17511]], 'adelic_image': '56980.2736.97.?', 'conductor': 148225, 'lmfdb_label': '148225.cj1', 'prime': 0}
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id: 569803
{'conductor': 148225, 'elladic_image': '37.114.4.2', 'lmfdb_label': '148225.cj1', 'modell_image': '37B.8.2', 'prime': 37}
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lmfdb_iso 148225.cj does not appear in ec_padic