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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, 0, 0, 4, 1, -1, 0, -4, 0, 0, 10, -2, 6, -10, 0, 6, 0, -2, 2, 12, -10, 10, 12, -12, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 82368, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '82368.cy', 'trace_hash': 1533221148495738474}
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lmfdb_iso 82368.cy does not appear in ec_padic
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ec_curvedata • Show schema
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id: 542949
{'Ciso': '82368en', 'Clabel': '82368en4', 'Cnumber': 4, 'abc_quality': 1.1301238642654245, 'absD': 703058508544519176192, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 3432, 'ainvs': [0, 0, 0, -37541100, -88524506288], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 82368, 'degree': 5308416, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0248516339162569980140002788', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 76, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [30618029936661765625, 3678951124992], 'lmfdb_iso': '82368.cy', 'lmfdb_label': '82368.cy1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -65176, -6409114], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '24.48.0-12.h.1.7', '572.6.0.?', '1716.48.1.?', '3432.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4358247187422841881905294782', 'prec': 100}, 'szpiro_ratio': 5.648618534784733, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 542948
{'Ciso': '82368en', 'Clabel': '82368en3', 'Cnumber': 3, 'abc_quality': 0.9888164482102493, 'absD': 499288155406290911232, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 3432, 'ainvs': [0, 0, 0, -2151660, -1622197424], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 82368, 'degree': 2654208, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6782780436362843433053842181', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 76, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-5764706497797625, 2612665516032], 'lmfdb_iso': '82368.cy', 'lmfdb_label': '82368.cy2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -3736, -117658], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '24.48.0-12.i.1.7', '286.6.0.?', '858.24.0.?', '1716.48.1.?', '3432.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0892511284623115334819134175', 'prec': 100}, 'szpiro_ratio': 4.941909737137803, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 542947
{'Ciso': '82368en', 'Clabel': '82368en2', 'Cnumber': 2, 'abc_quality': 1.033360901289125, 'absD': 48216610930685902848, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 3432, 'ainvs': [0, 0, 0, -1037100, 231611344], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 82368, 'degree': 1769472, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4755454895822021523163776603', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 76, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [645532578015625, 252306960048], 'lmfdb_iso': '82368.cy', 'lmfdb_label': '82368.cy3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1801, 16604], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '24.48.0-12.h.1.5', '572.6.0.?', '1716.48.1.?', '3432.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.88651857440822934249290685965', 'prec': 103}, 'szpiro_ratio': 4.697379970312376, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 542946
{'Ciso': '82368en', 'Clabel': '82368en1', 'Cnumber': 1, 'abc_quality': 0.9633259695924191, 'absD': 861901598132011008, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 3432, 'ainvs': [0, 0, 0, 207060, 26076112], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 82368, 'degree': 884736, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1289718993022294976077615996', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 76, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [5137417856375, 4510142208], 'lmfdb_iso': '82368.cy', 'lmfdb_label': '82368.cy4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 359, 1916], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '24.48.0-12.i.1.5', '286.6.0.?', '858.24.0.?', '1716.48.1.?', '3432.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.53994498412825668778429079895', 'prec': 103}, 'szpiro_ratio': 4.270350598377015, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
