Properties

Label 487872la
Number of curves $1$
Conductor $487872$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("la1")
 
E.isogeny_class()
 

Elliptic curves in class 487872la

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
487872.la1 487872la1 \([0, 0, 0, -1854732, -974589968]\) \(-30515071121161/85766121\) \(-1983209476532207616\) \([]\) \(10616832\) \(2.3832\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 487872la1 has rank \(0\).

Complex multiplication

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

Modular form 487872.2.a.la

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