Show commands:
SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 225420.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
225420.bp1 | 225420i1 | \([0, 1, 0, -24950, -1815027]\) | \(-4447738624/1077375\) | \(-416083414422000\) | \([]\) | \(1244160\) | \(1.5237\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 225420.bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 225420.bp do not have complex multiplication.Modular form 225420.2.a.bp
sage: E.q_eigenform(10)