Properties

Label 177450bp
Number of curves $1$
Conductor $177450$
CM no
Rank $1$

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

Elliptic curves in class 177450bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177450.ih1 177450bp1 \([1, 0, 0, -3063213, 1445170167]\) \(249395415529/73513818\) \(936991871259418406250\) \([]\) \(10483200\) \(2.7299\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177450bp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 177450bp do not have complex multiplication.

Modular form 177450.2.a.bp

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} - q^{7} + q^{8} + q^{9} - 3 q^{11} + q^{12} - q^{14} + q^{16} + 5 q^{17} + q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display