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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 208080.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
208080.bp1 | 208080cd1 | \([0, 0, 0, -2019243, 2616044762]\) | \(-43713001/116640\) | \(-2429552892446297948160\) | \([]\) | \(7050240\) | \(2.7910\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 208080.bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 208080.bp do not have complex multiplication.Modular form 208080.2.a.bp
sage: E.q_eigenform(10)