# Oscar code for working with elliptic curve 16245.j3 # Define the curve: E = elliptic_curve([1, -1, 0, -1242810, -497800809]) # Torsion subgroup: torsion_structure(E) # Conductor: conductor(E) # Discriminant: discriminant(E) # j-invariant: j_invariant(E) # Tamagawa numbers: tamagawa_numbers(E) # Torsion order: prod(torsion_structure(E)[1]) # Local data: [(p,tamagawa_number(E,p), kodaira_symbol(E,p), reduction_type(E,p)) for p in bad_primes(E)]