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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 86190.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86190.bp1 | 86190br1 | \([1, 1, 1, 354, -24471]\) | \(29024858759/1566018750\) | \(-264657168750\) | \([]\) | \(122880\) | \(0.87149\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86190.bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 86190.bp do not have complex multiplication.Modular form 86190.2.a.bp
sage: E.q_eigenform(10)