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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 164730.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
164730.bp1 | 164730bl1 | \([1, 0, 1, 172, 1106]\) | \(1963522151/2918400\) | \(-843417600\) | \([]\) | \(88704\) | \(0.39817\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 164730.bp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 164730.bp do not have complex multiplication.Modular form 164730.2.a.bp
sage: E.q_eigenform(10)