Show commands:
SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 225302.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
225302.bp1 | 225302a1 | \([1, -1, 1, -2190, 40989]\) | \(-81563625/2432\) | \(-34620806528\) | \([]\) | \(580608\) | \(0.80057\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 225302.bp1 has rank \(2\).
Complex multiplication
The elliptic curves in class 225302.bp do not have complex multiplication.Modular form 225302.2.a.bp
sage: E.q_eigenform(10)