Properties

Label 225420.bp
Number of curves $1$
Conductor $225420$
CM no
Rank $0$

Related objects

Downloads

Learn more

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)
 
\(q + q^{3} + q^{5} + 5 q^{7} + q^{9} - q^{11} - q^{13} + q^{15} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display