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ec_curvedata • Show schema
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{'Ciso': '270480gn', 'Clabel': '270480gn1', 'Cnumber': 1, 'abc_quality': 0.9358734837944656, 'absD': 9089836568064000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 230, 'ainvs': [0, 1, 0, -78661, 9625139], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 270480, 'degree': 1797120, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7888881282869877101840511905', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 169, 'isogeny_degrees': [1], 'jinv': [-111701610496, 18862875], 'lmfdb_iso': '270480.gn', 'lmfdb_label': '270480.gn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -100, 406], 'min_quad_twist_disc': 28, 'modell_images': [], 'modm_images': ['230.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4290204851678886916240717917', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.12278587319938574821414269732', 'prec': 103}, 'szpiro_ratio': 3.6527449862674897, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 2, 0, 6, 0, -1, 0, -1, 0, 2, 0], 'aplist': [0, 1, -1, 0, 2, 6, -1, 2, 1, -1, -5, -7, 7, 8, -12, 9, 3, -12, 1, -5, 2, 8, 3, -8, -14], 'class_deg': 1, 'class_size': 1, 'conductor': 270480, 'isogeny_matrix': [[1]], 'lmfdb_iso': '270480.gn', 'trace_hash': 21471652794117381}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.027937755630254835683650542405', 'prec': 107}, 'conductor': 270480, 'gens': [[206, 1485, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.4290204851678886916240717917', 'prec': 100}], 'lmfdb_label': '270480.gn1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.39562695577061821634814534390', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.852903486576480935579967101774213119', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [206]}
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lmfdb_label 270480.gn1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 11555332
{'degree': 3, 'field': [-3, 5, -1, 1], 'lmfdb_label': '270480.gn1', 'torsion': [2]}
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id: 11555333
{'degree': 6, 'field': [151, -23, 28, -11, 8, -3, 1], 'lmfdb_label': '270480.gn1', 'torsion': [2, 2]}
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id: 11555334
{'degree': 8, 'field': [-180075, 0, 86093, 0, 1470, 0, 0, 0, 1], 'lmfdb_label': '270480.gn1', 'torsion': [3]}
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id: 11555335
{'degree': 12, 'field': [-5776214, 3341380, -1083768, 144764, 50962, -25524, 5156, 400, -552, -34, 22, -6, 1], 'lmfdb_label': '270480.gn1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 6701858
{'conductor': 270480, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '270480.gn1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 6701859
{'conductor': 270480, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '270480.gn1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 6701860
{'conductor': 270480, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '270480.gn1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6701861
{'conductor': 270480, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '270480.gn1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 6701862
{'conductor': 270480, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '270480.gn1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 2, 0, 1], [229, 2, 228, 3], [51, 2, 51, 3], [1, 0, 2, 1], [1, 1, 229, 0], [47, 2, 47, 3]], 'adelic_image': '230.2.0.?', 'conductor': 270480, 'lmfdb_label': '270480.gn1', 'prime': 0}
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lmfdb_iso 270480.gn does not appear in ec_padic