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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 160446bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160446.t1 | 160446bk1 | \([1, 0, 1, -285805, 76417064]\) | \(-99541491313/39716352\) | \(-1030139885426775552\) | \([]\) | \(2794176\) | \(2.1652\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 160446bk do not have complex multiplication.Modular form 160446.2.a.bk
sage: E.q_eigenform(10)