Properties

Label 381150y
Number of curves $1$
Conductor $381150$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 381150y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
381150.y1 381150y1 \([1, -1, 0, -5648847, -5736004499]\) \(-12524640009705/1686616064\) \(-2684442906255808051200\) \([]\) \(23417856\) \(2.8442\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 381150y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 381150y do not have complex multiplication.

Modular form 381150.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} - 4 q^{13} + q^{14} + q^{16} - 2 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display