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SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 162450dk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162450.m1 | 162450dk1 | \([1, -1, 0, -17937, 953181]\) | \(-268722985/8192\) | \(-19456821043200\) | \([]\) | \(547560\) | \(1.3274\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162450dk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162450dk do not have complex multiplication.Modular form 162450.2.a.dk
sage: E.q_eigenform(10)