Properties

Label 508032.bs
Number of curves $1$
Conductor $508032$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bs1")
 
E.isogeny_class()
 

Elliptic curves in class 508032.bs

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
508032.bs1 \([0, 0, 0, -484218, 129691044]\) \(-784446336\) \(-16006016565504\) \([]\) \(2488320\) \(1.8117\)

Rank

sage: E.rank()
 

The elliptic curve 508032.bs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 508032.bs do not have complex multiplication.

Modular form 508032.2.a.bs

sage: E.q_eigenform(10)
 
\(q - q^{5} + 4 q^{11} - q^{13} + 5 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display