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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 160446.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160446.bp1 | 160446j1 | \([1, 0, 0, -285260, -122364912]\) | \(-1449073218392281/2811246362496\) | \(-4980294417189776256\) | \([]\) | \(4193280\) | \(2.2773\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446.bp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 160446.bp do not have complex multiplication.Modular form 160446.2.a.bp
sage: E.q_eigenform(10)