Properties

Label 213444.bp
Number of curves $1$
Conductor $213444$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bp1")
 
E.isogeny_class()
 

Elliptic curves in class 213444.bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
213444.bp1 213444bk1 \([0, 0, 0, 195657, -311355506]\) \(176/9\) \(-42358417287023464704\) \([]\) \(4561920\) \(2.4458\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 213444.bp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 213444.bp do not have complex multiplication.

Modular form 213444.2.a.bp

sage: E.q_eigenform(10)
 
\(q - q^{5} + 3 q^{13} - 7 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display