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ec_curvedata • Show schema
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{'Ciso': '100023a', 'Clabel': '100023a1', 'Cnumber': 1, 'abc_quality': 0.8147091720099879, 'absD': 5614591059, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2598, 'ainvs': [0, -1, 1, -672, 7841], 'analytic_rank': 0, 'bad_primes': [3, 7, 11, 433], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 100023, 'degree': 99456, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.59770753359429967794937722668', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1], 'jinv': [-33610706587648, 5614591059], 'lmfdb_iso': '100023.e', 'lmfdb_label': '100023.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -672, 7841], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['2598.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.59770753359429967794937722668', 'prec': 103}, 'szpiro_ratio': 2.7272686135830404, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 2, -1, 2, 2, -2, 1, 0, 1, 4, -1, -2, 3, 2, -2, -4, 6, 2, -6, 4], 'aplist': [2, -1, 2, 1, -1, 3, 6, -6, 1, -3, -8, 7, -6, 6, 3, 10, 0, -8, 8, -11, -2, 0, 9, -10, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 100023, 'isogeny_matrix': [[1]], 'lmfdb_iso': '100023.e', 'trace_hash': 1508928030896377867}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.30257833777433064086568316305', 'prec': 103}, 'conductor': 100023, 'gens': [], 'heights': [], 'lmfdb_label': '100023.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.3027129757745732871723153584', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2108519030982931486892614336099455530', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [9, 4, 0], '3': [0, 0], '5': [0, 0], '7': [1, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [2, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0], '433': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '100023.e1'}
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ec_torsion_growth • Show schema
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id: 4641467
{'degree': 3, 'field': [45, -17, -1, 1], 'lmfdb_label': '100023.e1', 'torsion': [2]}
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id: 4641468
{'degree': 6, 'field': [7500, -5100, 1300, -96, -2, 0, 1], 'lmfdb_label': '100023.e1', 'torsion': [2, 2]}
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id: 4641469
{'degree': 8, 'field': [-12204867, 0, 822655, 0, -12102, 0, 0, 0, 1], 'lmfdb_label': '100023.e1', 'torsion': [3]}
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id: 4641470
{'degree': 12, 'field': [5875401693, -5769269548, 1461142386, 151797852, -90057205, -373256, 2510384, -95664, -21853, 1468, -10, -4, 1], 'lmfdb_label': '100023.e1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 2454048
{'conductor': 100023, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '100023.e1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 2454049
{'conductor': 100023, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '100023.e1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 2454050
{'conductor': 100023, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '100023.e1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2454051
{'conductor': 100023, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '100023.e1', 'prime': 433, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[2597, 2, 2596, 3], [1, 1, 2597, 0], [1733, 2, 1733, 3], [1, 0, 2, 1], [1, 2, 0, 1], [871, 2, 871, 3]], 'adelic_image': '2598.2.0.?', 'conductor': 100023, 'lmfdb_label': '100023.e1', 'prime': 0}
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lmfdb_iso 100023.e does not appear in ec_padic