Properties

Label 487872lb
Number of curves $1$
Conductor $487872$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("lb1")
 
E.isogeny_class()
 

Elliptic curves in class 487872lb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
487872.lb1 487872lb1 \([0, 0, 0, -15972, 556358]\) \(1216512/343\) \(127051366204224\) \([]\) \(1013760\) \(1.4132\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 487872lb1 has rank \(2\).

Complex multiplication

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

Modular form 487872.2.a.lb

sage: E.q_eigenform(10)
 
\(q + q^{5} + q^{7} - 4 q^{13} - q^{17} + O(q^{20})\) Copy content Toggle raw display