Properties

Label 487872lu
Number of curves $1$
Conductor $487872$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("lu1")
 
E.isogeny_class()
 

Elliptic curves in class 487872lu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
487872.lu1 487872lu1 \([0, 0, 0, -224422572, -1297179247408]\) \(-30515071121161/85766121\) \(-3513376563454874256408576\) \([]\) \(116785152\) \(3.5822\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 487872lu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 487872lu do not have complex multiplication.

Modular form 487872.2.a.lu

sage: E.q_eigenform(10)
 
\(q + q^{5} + q^{7} + 5 q^{13} - 7 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display