-
ec_curvedata • Show schema
Hide schema
{'Ciso': '30912bk', 'Clabel': '30912bk4', 'Cnumber': 4, 'abc_quality': 0.9988665037729055, 'absD': 5005120873955328, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2576, 'ainvs': [0, -1, 0, -1133697, -464225247], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 30912, 'degree': 393216, 'elladic_images': ['8.48.0.215'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1091217335997830208422237035', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [614716917569296417, 19093020912], 'lmfdb_iso': '30912.w', 'lmfdb_label': '30912.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -17714, 900047], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.1.5', '92.12.0.?', '112.96.0.?', '184.96.0.?', '2576.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.503922163974876670053493632', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0694009627598650567163755213', 'prec': 100}, 'szpiro_ratio': 5.168498473671641, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, -1, 0, 2, 0, -1, 0, 1, 0, -4, 0, 2, 0, -2, 0, -6, 0, 4, 0], 'aplist': [0, -1, 2, -1, -4, 2, -6, 4, 1, 2, 8, -6, -6, -4, 8, -6, 4, 10, 4, 8, -6, 0, -12, 2, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 30912, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '30912.w', 'trace_hash': 1790154059426854007}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.014724485845033076786463497595', 'prec': 107}, 'conductor': 30912, 'gens': [[28663951, 153298110624, 35]], 'heights': [{'__RealLiteral__': 0, 'data': '16.503922163974876670053493632', 'prec': 100}], 'lmfdb_label': '30912.w2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14631069819399410170099478862', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8294007495009964296057731312774701064', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-617, 0, 1]], 'xcoord_integral_points': [-617]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '30912.w2'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 1541919
{'degree': 2, 'field': [-23, 0, 1], 'lmfdb_label': '30912.w2', 'torsion': [2, 2]}
-
id: 1541921
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '30912.w2', 'torsion': [8]}
-
id: 1541920
{'degree': 2, 'field': [46, 0, 1], 'lmfdb_label': '30912.w2', 'torsion': [4]}
-
id: 1541922
{'degree': 4, 'field': [121, 0, 24, 0, 1], 'lmfdb_label': '30912.w2', 'torsion': [2, 8]}
-
id: 1541926
{'degree': 8, 'field': [-12288, 0, -2528, 0, -384, 0, 0, 0, 1], 'lmfdb_label': '30912.w2', 'torsion': [6]}
-
id: 1541923
{'degree': 8, 'field': [196, 0, -660, 0, 77, 0, -12, 0, 1], 'lmfdb_label': '30912.w2', 'torsion': [2, 4]}
-
id: 1541925
{'degree': 8, 'field': [2116, 0, 1070, 0, 261, 0, 26, 0, 1], 'lmfdb_label': '30912.w2', 'torsion': [16]}
-
id: 1541924
{'degree': 8, 'field': [2704, 0, 310, 0, 105, 0, -2, 0, 1], 'lmfdb_label': '30912.w2', 'torsion': [8]}
-
id: 1541928
{'degree': 16, 'field': [36481, 0, -93760, 0, -114128, 0, -24976, 0, 706, 0, -448, 0, 112, 0, -16, 0, 1], 'lmfdb_label': '30912.w2', 'torsion': [2, 8]}
-
id: 1541927
{'degree': 16, 'field': [53824, 0, 184384, 0, 191252, 0, 7164, 0, 19193, 0, 168, 0, 38, 0, -20, 0, 1], 'lmfdb_label': '30912.w2', 'torsion': [4, 8]}
-
id: 1541929
{'degree': 16, 'field': [64521, -297612, 549942, -778020, 1176724, -1255164, 989910, -604756, 305933, -121012, 42986, -11452, 2940, -504, 92, -8, 1], 'lmfdb_label': '30912.w2', 'torsion': [2, 16]}
-
id: 1541930
{'degree': 16, 'field': [172225, 0, 231542, 0, 132677, 0, 39346, 0, 6748, 0, 982, 0, 197, 0, -22, 0, 1], 'lmfdb_label': '30912.w2', 'torsion': [2, 16]}
-
id: 1541933
{'degree': 16, 'field': [3125824, 0, -828992, 0, 41872, 0, 108480, 0, 5424, 0, 1848, 0, -80, 0, 16, 0, 1], 'lmfdb_label': '30912.w2', 'torsion': [24]}
-
id: 1541931
{'degree': 16, 'field': [51883209, 0, -60850981632, 0, -5270303780, 0, -128325120, 0, -2471586, 0, -199424, 0, -5556, 0, 0, 0, 1], 'lmfdb_label': '30912.w2', 'torsion': [2, 6]}
-
id: 1541932
{'degree': 16, 'field': [10263918721, 0, -1996692964, 0, -146303612, 0, 57780116, 0, 4412038, 0, 73172, 0, 3460, 0, 92, 0, 1], 'lmfdb_label': '30912.w2', 'torsion': [12]}
-
ec_localdata • Show schema
Hide schema
-
id: 720475
{'conductor': 30912, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '30912.w2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
-
id: 720476
{'conductor': 30912, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '30912.w2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 720477
{'conductor': 30912, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '30912.w2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 720478
{'conductor': 30912, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '30912.w2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 1870502
{'adelic_gens': [[2575, 2560, 1924, 1803], [1, 16, 0, 1], [15, 2, 2478, 2563], [1473, 16, 1480, 129], [2561, 16, 2560, 17], [5, 4, 2572, 2573], [1, 0, 16, 1], [958, 637, 1585, 1266], [1920, 5, 1523, 2562]], 'adelic_image': '2576.192.1.?', 'conductor': 30912, 'lmfdb_label': '30912.w2', 'prime': 0}
-
id: 138583
{'conductor': 30912, 'elladic_image': '8.48.0.215', 'lmfdb_label': '30912.w2', 'modell_image': '2B', 'prime': 2}
-
ec_padic • Show schema
Hide schema
-
id: 1498126
{'lmfdb_iso': '30912.w', 'p': 5, 'prec': 20, 'unit': 7197653844762, 'val': 1}
-
id: 1498125
{'lmfdb_iso': '30912.w', 'p': 11, 'prec': 20, 'unit': 8181501486316723071, 'val': 1}
-
id: 1498132
{'lmfdb_iso': '30912.w', 'p': 13, 'prec': 20, 'unit': 70641736109232602365, 'val': 1}
-
id: 1498134
{'lmfdb_iso': '30912.w', 'p': 17, 'prec': 20, 'unit': 40165476853933917346955, 'val': 1}
-
id: 1498135
{'lmfdb_iso': '30912.w', 'p': 19, 'prec': 20, 'unit': 1734058909105590058051722, 'val': 1}
-
id: 1498131
{'lmfdb_iso': '30912.w', 'p': 29, 'prec': 20, 'unit': 5054939613961739822121489805, 'val': 1}
-
id: 1498128
{'lmfdb_iso': '30912.w', 'p': 31, 'prec': 20, 'unit': 16283684008284013065381678688, 'val': 1}
-
id: 1498142
{'lmfdb_iso': '30912.w', 'p': 37, 'prec': 20, 'unit': 14562294789827023057614944428, 'val': 2}
-
id: 1498129
{'lmfdb_iso': '30912.w', 'p': 41, 'prec': 20, 'unit': 1830596303535952768209027355385, 'val': 1}
-
id: 1498130
{'lmfdb_iso': '30912.w', 'p': 43, 'prec': 20, 'unit': 8346278692637859443766078295445, 'val': 1}
-
id: 1498133
{'lmfdb_iso': '30912.w', 'p': 47, 'prec': 20, 'unit': 45537466473122820446380657442751, 'val': 1}
-
id: 1498136
{'lmfdb_iso': '30912.w', 'p': 53, 'prec': 20, 'unit': 143723935505881354362584622642048, 'val': 1}
-
id: 1498140
{'lmfdb_iso': '30912.w', 'p': 59, 'prec': 20, 'unit': 147627743938944652128611199809977, 'val': 1}
-
id: 1498141
{'lmfdb_iso': '30912.w', 'p': 61, 'prec': 20, 'unit': 1172587827305144788560430300620902, 'val': 1}
-
id: 1498124
{'lmfdb_iso': '30912.w', 'p': 67, 'prec': 20, 'unit': 23609259116456856922788545460220816, 'val': 1}
-
id: 1498127
{'lmfdb_iso': '30912.w', 'p': 71, 'prec': 20, 'unit': 128119845669149489174937611500721140, 'val': 1}
-
id: 1498137
{'lmfdb_iso': '30912.w', 'p': 73, 'prec': 20, 'unit': 76973744684516050554115354200539556, 'val': 1}
-
id: 1498138
{'lmfdb_iso': '30912.w', 'p': 83, 'prec': 20, 'unit': 693220895921364848006008573533455787, 'val': 1}
-
id: 1498139
{'lmfdb_iso': '30912.w', 'p': 89, 'prec': 20, 'unit': 8908295127220955202035075469706339970, 'val': 1}
-
id: 1498123
{'lmfdb_iso': '30912.w', 'p': 97, 'prec': 20, 'unit': 49099835016497077177757664020898901368, 'val': 1}